Please help me!! No files allowed. I need the answer and an explanation!

Please Help Me!! No Files Allowed. I Need The Answer And An Explanation!

Answers

Answer 1

Answer:

27/86

Step-by-step explanation:

the difference is multiplying by 3. next number is

27/86


Related Questions

find the indicated iq score. the graph depicts iq scores of adults and those scores are normally distributed with a mean of 100 and a standard deviatio of 15 the shaded are under the curve is 0.5675

Answers

The indicated IQ score, corresponding to the shaded area under the curve of 0.5675 in a normal distribution with a mean of 100 and a standard deviation of 15, is approximately 102.55.

To find the indicated IQ score, we need to determine the corresponding z-score using the given information about the normal distribution. Here's how we can calculate it step by step:

Step 1: Identify the shaded area under the curve.

The shaded area under the curve represents the cumulative probability of the IQ scores. In this case, the shaded area is 0.5675 or 56.75%.

Step 2: Convert the cumulative probability to a z-score.

To find the z-score corresponding to the shaded area, we need to find the z-score that gives us a cumulative probability of 56.75%. We can use a standard normal distribution table or a statistical calculator to find the z-score.

Step 3: Find the z-score.

Using a standard normal distribution table, we can search for the closest cumulative probability to 0.5675. The closest cumulative probability we can find in the table is 0.5681, which corresponds to a z-score of approximately 0.17.

Step 4: Convert the z-score to an IQ score.

Now that we have the z-score of 0.17, we can use the formula for transforming z-scores to raw scores:

IQ score = (z-score × standard deviation) + mean

Given that the mean is 100 and the standard deviation is 15, we can calculate the IQ score:

IQ score = (0.17 × 15) + 100

IQ score = 2.55 + 100

IQ score ≈ 102.55

Therefore, the indicated IQ score is approximately 102.55.

Learn more about the normally distributed at

https://brainly.com/question/15103234

#SPJ4

A triangular pane of glass has a height of 30 inches and an area of 240 square inches. What is the length of the base of the pane?

Answers

240÷30=8

8×30=240

30 height 8 with

LA Galaxy have won 35% of there soccer matches, and drawn 9 of them. If they played 40 matches, how many have they lost?

Answers

Answer:17

Step-by-step explanation:

0.35•40=14 to find how many they’ve won

14+9=23 is how many they have won or drawn

40-23=17 is how many they’ve lost

Solve the system of differential equations s = Ly' - 29x + 42y – 20x + 294 = x(0) = – 15, y(0) = == - 11 The lesser of the two eigenvalues is Its corresponding eigevector is (a, – 2). What is a? a = The greater of the two eigenvalues is Its corresponding eigevector is ( – 7,6). What is b? b = = The solution to the system is x(t) = = y(t) =

Answers

The lesser of the two eigenvalues is λ = -1. Its corresponding eigenvector is [-42 29].

The greater of the two eigenvalues is λ = 1. Its corresponding eigenvector is [42 29].

To solve the system of differential equations:

x' = -29x + 42y

y' = -20x + 29y

We can rewrite it in matrix form as follows:

X' = AX

where X = [x y] is a vector, X' represents the derivative of X with respect to time, and A is the coefficient matrix. In this case, A is given by:

A = [ -29 42 ]

[ -20 29 ]

To find the eigenvalues and eigenvectors, we need to solve the characteristic equation:

det(A - λI) = 0

where λ is the eigenvalue and I is the identity matrix. Solving this equation will give us the eigenvalues, and by substituting these eigenvalues back into the equation (A - λI)V = 0, where V is the corresponding eigenvector, we can find the eigenvectors.

Let's calculate the eigenvalues first. We have:

A - λI = [ -29 42 ]

[ -20 29 ] - λ [ 1 0 ]

[ 0 1 ]

Expanding the determinant, we get:

(-29 - λ)(29 - λ) - (42)(-20) = 0

(λ + 29)(λ - 29) + 840 = 0

λ² - 29² + 840 = 0

λ² - 841 + 840 = 0

λ² = 1

λ = ±1

So the eigenvalues are λ = 1 and λ = -1.

To find the corresponding eigenvectors, we substitute each eigenvalue back into the equation (A - λI)V = 0.

For λ = 1, we have:

[ -29 42 ] [ v₁ ] [ 0 ]

[ -20 29 ] [ v₂ ] = [ 0 ]

This gives us the following system of equations:

-29v₁ + 42v₂ = 0

-20v₁ + 29v₂ = 0

Solving this system, we find that v₁ = 42 and v₂ = 29.

Therefore, the eigenvector corresponding to the eigenvalue λ = 1 is [42 29].

For λ = -1, we have:

[ -29 42 ] [ v₁ ] [ 0 ]

[ -20 29 ] [ v₂ ] = [ 0 ]

This gives us the following system of equations:

-29v₁ + 42v₂ = 0

-20v₁ + 29v₂ = 0

Solving this system, we find that v₁ = -42 and v₂ = 29.

Therefore, the eigenvector corresponding to the eigenvalue λ = -1 is [-42 29].

To know more about differential equations here

https://brainly.com/question/30074964

#SPJ4

Complete Question:

Solve the system of differential equations

x' = -29x + 42y

y' = -20x + 29y

x(0) = -15, y(0) = -11

The lesser of the two eigenvalues is Its corresponding eigenvector is

The greater of the two eigenvalues is Its corresponding eigenvector is

For the following exercise, write the equation of the ellipse in standard form. Then identify the center, vertices, and foci. 9x² + 36y²-36x + 72y +36 = 0

Answers

The given equation, 9x² + 36y² - 36x + 72y + 36 = 0, represents an ellipse. In standard form, the equation can be written as (x-1)²/4 + (y+1)²/1 = 1. The center of the ellipse is at (1, -1), the vertices are located at (3, -1) and (-1, -1), and the foci are at (2, -1) and (0, -1).

To write the equation 9x² + 36y² - 36x + 72y + 36 = 0 in standard form, we need to complete the square for both the x and y terms. By rearranging the equation, we have 9x² - 36x + 36 + 36y² + 72y + 36 = 0.

Next, we can factor out a 9 from the x terms and a 36 from the y terms: 9(x² - 4x + 4) + 36(y² + 2y + 1) = 0.

Simplifying further, we have 9(x - 2)² + 36(y + 1)² = 36.

Dividing both sides by 36, we get (x - 2)²/4 + (y + 1)²/1 = 1, which is the standard form of an ellipse.

From the standard form, we can determine that the center of the ellipse is located at (1, -1), the vertices are at (3, -1) and (-1, -1), and the foci are at (2, -1) and (0, -1).

Learn more about ellipse here:

https://brainly.com/question/20393030

#SPJ11

In a simple random sample of 170 households, the sample mean number of personal computers was1.71. Assume the population standard deviation is σ=0.86.

(a) Construct a 90% confidence interval for the mean number of personal computers. Round the answer to at least two decimal places.

A 90% confidence interval for the mean number of personal computers is _______
(b) If the sample size were 120 rather that 170, would the margin of error be larger or smaller than the result in part (a)? Explain.

The margin of error would be _______, since __________in the sample size will _______ the standard error.

(c) If the confidence levels were 95% rather than 90%, would the margin of error be larger or smaller than the result in part (a)? Explain.

The margin of error would be _______, since __________ in the confidence level will ___________the critical value za/2.

(d) Based on the confidence interval constructed in part (a), is it likely that the mean number of personal computers is greater than 1?

It ________ likely that the mean number of personal computers is greater than1.

Answers

The confidence interval using a 90% confidence level is (1.601, 1.819)

Confidence Interval

Confidence Interval = Sample Mean ± Margin of Error

Given the parameters:

Sample Mean (x) = 1.71

Population Standard Deviation (σ) = 0.86

Sample Size (n) = 170

Confidence Level = 90%

The standard Error(SE) is given by:

SE = σ / √n

SE = 0.86 / √170 ≈ 0.0663

The margin of Error is related to standard error by the relation:

ME = Z × SE

ME = 1.645 × 0.0663 ≈ 0.109

Confidence Interval = Sample Mean ± Margin of Error

Confidence Interval = 1.71 ± 0.109

Confidence Interval= (1.601, 1.819)

Part B:

A decrease in sample size from 170 to 120 would lead to increase in error margin , since decrease in sample size will increase the standard error.

Part C:

If confidence interval were raised from 90% to 95% , the error margin would be larger since increase in confidence interval would increase the critical value

Part D :

Based on the confidence interval , it is very likely that the mean number of personal computers is greater than 1.

Learn more on confidence interval: https://brainly.com/question/15712887

#SPJ4

Which graphed function is described by the given intervals? Increasing on (−∞, 0) Decreasing on (0, ∞)
A) A
B) B
C) C
D) D

Answers

The best answer to go with is b

Which angles are neither obtuse angles nor acute angles?

Answers

Answer:

Acute angles are less than 90

obtuse is more than 90

right angles are exactly 90

Step-by-step explanation:

Answer:

First option: 90 degrees

Step-by-step explanation:

Obtuse is greater than 90.

Acute is less than 90.

Right is 90.

Factor completely please. 3k^2-19k+20

Answers

3k^2-4k-15k+20
k(3k-4)-5(3k-4) /factor out (3k-4) from it
=> (3k-4)(k-5)

Answer:

3(k*k)-3(3k)-5(2k)+2(5+5)

Step-by-step explanation:

3k²-19k+20

Just find some number that equal the terms when multiplied. ¯\_(ツ)_/¯

DOUBLE CHECK!

3(k*k)-3(3k)-5(2k)+2(5+5)

Multiply what you need to.

3k²-9k-10k+20

Combine like terms.

3k²-19k+20

---

hope it helps

The starting salary of a starting teacher is $40,000, which will increase by 2% each year

What is the multiplier (growth factor) for this scenario?

1. .02
2. 1.02
3. 2
4. 1.2

Answers

Answer:

Choice B - (1.02)

Step-by-step explanation:

With the teachers starting salary being $40,000, we can rightfully assume that it their salary would not increase with Choice A, $40,000 * 0.2 = $800.

2% otherwise known as 0.02, would make the teachers yearly salary $40,000 * 1 + 0.02, or $40,000 * 1.02. Making the correct answer, Choice B - (1.02). (This would also give the teacher an additional $800 per year!)

solve the differential equation by variation of parameters. y'' y = csc(x)

Answers

The solution to the differential equation y'' + y = csc(x) using the variation of parameters method is y(x) = cos(x)ln|sin(x)| + Csin(x), where C is a constant.

To solve the differential equation by variation of parameters, we first find the complementary solution (the solution to the homogeneous equation). The homogeneous equation is y'' + y = 0, which has the solution y_c(x) = Acos(x) + Bsin(x), where A and B are constants.

Next, we find the particular solution using the variation of parameters method. We assume the particular solution is of the form y_p(x) = u(x)cos(x) + v(x)sin(x), where u(x) and v(x) are unknown functions.

We differentiate y_p(x) to find y_p' and y_p'' and substitute them into the original differential equation. After simplification, we obtain u'(x)sin(x) - v'(x)cos(x) = csc(x).

To solve this system of equations, we find the derivatives u'(x) and v'(x) and integrate them to obtain u(x) and v(x). Finally, we substitute u(x) and v(x) into the particular solution form y_p(x) = u(x)cos(x) + v(x)sin(x).

The final solution is y(x) = y_c(x) + y_p(x), which simplifies to y(x) = cos(x)ln|sin(x)| + Csin(x), where C is the constant of integration.

Learn more about variation of parameters here: brainly.com/question/32290885

#SPJ11

Newton has just gone grocery shopping. The mean cost for each item in his bag was $3.38. He bought a total of 6 items, and the prices of 5 of those items are listed below:
$4.09, $4.03, S4.19, $2.24, $4.09
Determine the price of the 6th item in his bag.

Answers

Newton has just gone grocery shopping. The mean cost for each item in his bag was $3.38. The price of the 6th item in his bag is $1.64

To determine the price of the 6th item in Newton's bag, we can use the concept of the mean (average). We know that the mean cost for each item in his bag is $3.38, and he bought a total of 6 items.

To find the sum of all 6 item prices, we can multiply the mean cost by the total number of items:

Sum of all item prices = Mean cost * Total number of items

                                    = $3.38 * 6

                                    = $20.28

We also know the prices of 5 of the items, which are $4.09, $4.03, $4.19, $2.24, and $4.09.

To determine the price of the 6th item, we subtract the sum of the known prices from the sum of all item prices:

Price of the 6th item = Sum of all item prices - Sum of known prices

= $20.28 - ($4.09 + $4.03 + $4.19 + $2.24 + $4.09)

= $20.28 - $18.64

= $1.64

Learn more about the Price here: https://brainly.com/question/29023044

#SPJ11

Find the solution to the initial value problem y' = x² — ½, y(2) = 3.

Answers

The solution to the initial value problem using the method of separation of variables is y = (x³/3) - (1/2)x + 4/3.

To solve the initial value problem y' = x² - 1/2 with the initial condition y(2) = 3, we can use the method of separation of variables. Here are the steps:

Step 1: Separate the variables

Write the given differential equation in the form:

dy/dx = x² - 1/2

Step 2: Integrate both sides

Integrate both sides of the equation with respect to x:

∫dy = ∫(x² - 1/2) dx

Integration yields:

y = (x³/3) - (1/2)x + C

Step 3: Apply the initial condition

To find the constant C, substitute the initial condition y(2) = 3 into the equation obtained in Step 2:

3 = (2³/3) - (1/2)(2) + C

Simplifying the equation:

3 = 8/3 - 1 + C

3 = 8/3 - 3/3 + C

3 = 5/3 + C

Therefore, C = 3 - 5/3 = 9/3 - 5/3 = 4/3.

Step 4: Write the final solution

Substitute the value of C back into the equation obtained in Step 2:

y = (x³/3) - (1/2)x + 4/3

So, the solution to the initial value problem y' = x² - 1/2, y(2) = 3 is y = (x³/3) - (1/2)x + 4/3.

Learn more about the initial value problem at

https://brainly.com/question/30466257

#SPJ4




4. Use polynomial fitting to find the closed form for the sequence 2, 5, 11, 21, 36, ...

Answers

The sequence continues as follows:2, 5, 11, 21, 36, 67, ...

Given sequence2 5 11 21 36...

First differences 3 6 10 15...

Second differences 3 4 5...

Third differences 1 1...

The third differences are constant, which means that we can use a cubic polynomial for the fitting.

The formula for a cubic polynomial is

an³ + b

n² + c

n + d

Let us denote the nth term of the sequence by fn. Then, we have

f1 = 2, f2 = 5, f3 = 11, f4 = 21, f5 = 36...

We can write a system of equations using the first four terms of the sequence.

2 = a + b + c + d

5 = 8a + 4b + 2c + d

11 = 27a + 9b + 3c + d

21 = 64a + 16b + 4c + d

Solving this system, we get a = 1/3, b = 1, c = 11/3, and d = 0.

Thus, the closed-form expression for the nth term of the sequence isf(n) = (1/3)n³ + n² + (11/3)n

The next term in the sequence is f(6) = (1/3)(6)³ + (6)² + (11/3)(6) = 67.

Therefore, the sequence continues as follows:2, 5, 11, 21, 36, 67, ...

Learn more about sequence in math at:

https://brainly.com/question/29121533

#SPJ11

Somebody help me please

Answers

Answer:

Other dude is correct

Step-by-step explanation:

The total weight of all the students in a class is 3,159 lb. The mean weight of the students is 117 lb. How many students are there in the class?

Answers

Answer:

27

Step-by-step explanation:

You do 3159 ÷ 27

Comes out to 27

I found 27 by just plugging in numbers.

Hope this helps

Answer:

There are 27 students in the class.

Step-by-step explanation:

Since the total weight is 3,159 and the average weight is 117lb, you can just divide 3,159 by 117, which will give you 27.

help me

The two major types of metal electrical cable are:

A.wire and fibre
B.twisted pair and coaxial
C.twisted pair and fibre optic
D.coaxial and fibre optic

2. What are the most common forms of wireless connection?

A.infrared beams
B.microwaves
C.radio waves
D.all of the above

3. Wi-fi connections have limited range of :

A.10 metres
B.600 metres
C.20 metres
D.300 metres​​​

Answers

Answer:

1.The two major types of metal electrical cable are:

A.wire and fibre

2. What are the most common forms of wireless connection?

C.Radio news

3. Wi-fi connections have limited range of :

D.300 metres

Identify the coefficient in the following expression 6a +7​

Answers

Answer:

The coefficient is 6

Step-by-step explanation:

identify the slope and y-intercept of the lins given by the equation y=2x 1.

Answers

Answer 2 I took the test

y=Ax^2 + C/x is the general solution of the DEQ: y' + y/x = 39x. Determine A. Is the DEQ separable, exact, 1st-order linear, Bernouli?

Answers

The exact value of A in the general solution is 13

Also, the DEQ is separable

How to determine the value of A in the general solution

From the question, we have the following parameters that can be used in our computation:

y = Ax² + C/x

The differential equation is given as

y' + y/x = 39x

When y = Ax² + C/x is differentiated, we have

y' = 2Ax - Cx⁻²

So, we have

2Ax - Cx⁻² + y/x = 39x

Recall that

y = Ax² + C/x

So, we have

2Ax - Cx⁻² + (Ax² + C/x)/x = 39x

Evaluate

2Ax - Cx⁻² + Ax + Cx⁻² = 39x

This gives

2Ax +  Ax  = 39x

So, we have

3Ax = 39x

By comparing both sides of the equation, we have

3A = 39

Divide both sides by 3

A = 13

Hence, the value of A in the general solution is 13

Read more about differential equation at

https://brainly.com/question/1164377

#SPJ4

Write a cosine function that has a midline of y=5, an amplitude of 3, a period of 1, and a horizontal shift of 1/4 to the right

Answers

The graph of this function begins at 5 and moves down to 2 and back to 5 again in a repeated pattern over one period of 1.

A cosine function is a periodic function that fluctuates about its midline and follows a predictable pattern. The formula for a cosine function with a midline of y = c, amplitude of a, and period of b is:y = a cos(bx) + cTo shift the graph of a cosine function,

you can add or subtract a value inside the parentheses of the formula, which results in a horizontal shift.

The shift is to the right if you add, and to the left if you subtract.In this instance,

the cosine function has the following characteristics:Midline = y = 5Amplitude = 3Period = 1Horizontal shift to the right = 1/4We'll have to adjust the formula to include all of these parameters.

First and foremost, let's figure out the function's frequency, which is determined by dividing 2π by the period of the cosine function. In this example, the frequency is 2π/1, which equals 2π.

y = a cos(bx) + c is the formula we'll use. We'll substitute the values given into the formula. The resulting formula is:y = 3cos(2π(x - 1/4)) + 5This is the cosine function with a midline of y = 5, an amplitude of 3, a period of 1, and a horizontal shift of 1/4 to the right.

To learn more about : function

https://brainly.com/question/11624077

#SPJ8

A triangle has three angles that measure 50 degrees, 28 degrees and 3x. What is the value of x?

Answers

Answer:

57.33

Step-by-step explanation:

50+28+3x=180

78+3x=180-78

3x=172/3

x = 57.33

Simplify 4(8x).
A. 8x
B. 4x
C. 32x
D. 8 + 4x

Answers

Answer:

32x

Step-by-step explanation: 4(8x)=32x

For each of the following rejection regions, what is the probability that a Type I error will be made?
a. t> 2.718, where df = 11
b. t< -1.476, where df = 5
c. t< -2.060 or t > 2.060, where df = 25

a. The probability that a Type I error will be made is _____ (Round to two decimal places as needed.)


Answers

The probability of a Type I error in rejection region a is 0.01.

What is probability?

We must  find  the area under the t-distribution curve outside the rejection region, assuming a two-tailed test in order to to determine the probability of making a Type I error in each rejection region.

for a. t > 2.718, and df = 11:

Using a t-distribution table,  the probability is 0.01.

b. t < -1.476, df = 5:

Using a t-distribution table the probability is 0.05.

c. t < -2.060 or t > 2.060, df = 25:

Using a t-distribution table, the area in each tail is  0.025.

The combined probability of a Type I error in rejection region c is

0.025 + 0.025 = 0.05.

Learn more about Type I error at:

https://brainly.com/question/29854786

#SPJ4

What is the solution to the following system of equations?
x+y=5
x-y=1

(–2, 7)
(2, 3)
(3, 2)
(7, –2)

Answers

Answer:

x+y=5

×-y=1

2x/2=6/2

x=3

while x+y=5

3+y=5

y=5-3

y=2

Answer:

C

Step-by-step explanation:

(3, 2)

evaluate ∫30(4f(t)−6g(t)) dt given that ∫150f(t) dt=−7, ∫30f(t) dt=−8, ∫150g(t) dt=4, and ∫30g(t) dt=8

Answers

The evaluation of ∫30(4f(t) - 6g(t)) dt given that ∫150f(t) dt = -7, ∫30f(t) dt = -8, ∫150g(t) dt = 4, and ∫30g(t) dt = 8 is -80.

Given that ∫150f(t) dt = -7, ∫30f(t) dt = -8, ∫150g(t) dt = 4, and ∫30g(t) dt = 8.

Let us evaluate ∫30(4f(t) - 6g(t)) dt.

Therefore,∫30(4f(t) - 6g(t)) dt = ∫30(4f(t) dt - 6g(t) dt) = 4 ∫30f(t) dt - 6 ∫30g(t) dt

Now, using the given values in the question we can say that,∫30(4f(t) - 6g(t)) dt = 4 ∫30f(t) dt - 6 ∫30g(t) dt = 4 (-8) - 6(8) = -32 - 48 = -80

Therefore, the evaluation of ∫30(4f(t) - 6g(t)) dt given that ∫150f(t) dt = -7, ∫30f(t) dt = -8, ∫150g(t) dt = 4, and ∫30g(t) dt = 8 is -80.

Note: The given integrals ∫150f(t) dt, ∫30f(t) dt, ∫150g(t) dt, and ∫30g(t) dt are only intermediate steps in order to evaluate the final integral.

Know more about  integrals here,

https://brainly.com/question/31433890

#SPJ11

Solve the system with the addition method: - 8x + 5y = -33 +8.x – 4y = 28 Answer: (x, y) Preview 2 Preview y Enter your answers as integers or as reduced fraction(s) in the form A/B.

Answers

The solution to the system -8x + 5y = -33 and 8x - 4y = 28 is (x, y) = (7, -1).

To solve the given system of equations using the addition method, let's eliminate one variable by adding the two equations together. The system of equations is:

-8x + 5y = -33 (Equation 1)

8x - 4y = 28 (Equation 2)

When we add Equation 1 and Equation 2, the x terms cancel out:

(-8x + 5y) + (8x - 4y) = -33 + 28

y = -5

Now that we have the value of y, we can substitute it back into either Equation 1 or Equation 2 to solve for x. Let's use Equation 1:

-8x + 5(-5) = -33

-8x - 25 = -33

-8x = -33 + 25

-8x = -8

x = 1

Therefore, the solution to the system is (x, y) = (1, -5).

To learn more about “variable” refer to the https://brainly.com/question/28248724

#SPJ11

If you have a circle with a central angle of 80 degrees, what is the degrees of its inscribed angle?

Answers

Answer:

The measure of the inscribed angle is [tex]40^{\circ}[/tex]

Step-by-step explanation:

Recall that the measure of the inscribed angle is one-half the measure of the central angle subtended by the same arc.

So, if the measure of the central angle is [tex]80^{\circ}[/tex], so the measure of the corresponding inscribed angle is:

[tex]\frac{1}{2}\times 80^{\circ}=40^{\circ}[/tex]

The center and a point on a circle are given. Find the circumference to the nearest tenth.

center:(−15, −21);

point on the circle: (0, −13)


The circumference is about ???

Answers

Answer:

Circumference ~ 233.7

Step-by-step explanation:

Use the distance formula to find the radius of the circle with the two coordinates given. The radius of this circle is about 37.2. Plug 37.2 into the formula 2(pi)r to find the Circumference. The answer is 233.7 rounded to the nearest tenth.

There are 35 green, 22 white, 30 purple and 14 blue gumballs in the gumball machine.
Sharee wants to get a white or green gumball.
What is the probability of getting a white or green gumball?

Answers

Answer:

The probability of getting a white or green gumball is 35.64%.

Step-by-step explanation:

1. calculate the total number of gumballs in the gumball machine

35 + 22 + 30 + 14 = 101 gumballs

2. calculate the number of white and green gumballs combined

22 + 14 = 36 w/g gumballs

3. divide the number of white and green gumballs combined by the total number of gumballs in the gumball machine

36 / 101 = 0.3564

Answer: the probability of getting a white or green gumball is 35.64% (0.3564).

Probability is the chance of occurring an event from the total possible outcomes.

The probability of getting a white or a green gumball is 57/101.

What is probability?

It is the chance of occurring an event from the total possible outcomes.

We have,

Green gumballs = 35

White gumballs = 22

Purple gumballs = 30

Blue gumballs = 14

Total gumballs = 35 + 22 + 30 + 14 = 101

The combination is given by:

= [tex]^nC_{r}[/tex]

= n! / r! (n-r)!

The probability of choosing a white gumball:

= [tex]\frac{^{22}C_{1}}{^{101}C_{1} }[/tex]

= 22 / 101

The probability of choosing a green gumball:

= [tex]\frac{^{35}C_{1}}{^{101}C_{1} }[/tex]

= 35 / 101

The probability of getting a white or a green gumball:

= 22/101 + 35 / 101

= (22 +35) / 101

= 57 / 101

Thus the probability of getting a white or a green gumball is 57/101.

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ5

Other Questions
A company has beginning inventory of 300 units at $18.9 each; They purchased 400 units at $ 7.6 each on June 2; On June 15, they also purchased 500 units at $ 12.69 each. A physical count of merchandise inventory at the end of the month revealed that 452 units were sold. What is the cost of goods sold using the weighted average inventory method? Round all answers to the nearest dollar. But as always do not round any intermediate calculations, only round your final answer. the frequency of vibrations of an object-spring system is 5.00 hz when a 4.00 g mass is attached to the spring. what is the spring constant of the spring? For Ivanhoe Company, the predetermined overhead rate is 154% of direct labour cost. During the month, Dene incurred $108,000 of factory labour costs, of which $85,600 is direct labour and $22,400 is indirect labour. Actual overhead incurred was $123,824.a) Calculate the amount of manufacturing overhead applied during the month.b) Determine the amount of under- or over-applied manufacturing overhead. at how many points on the curve x^2/5 y^2/5 = 1 in the xy-plane does the curve have a tangent line that is horizontal Among these types of nucleons (odd and even numbers), which has the fewest stable nuclides?A. odd number of protons and even number of neutrons o B. odd number of protons and odd number of neutrons o C.even number of protons and even number of neutrons o D. even number of protons and odd number of neutrons E. Odd or even numbers of nucleons does not influence the stability of nuclides QUESTION 3 F-17 undergoes positron decay. What is the product nucleus? Enter your answer using the same format, i.e, symbol-mass number what is the direction of the impulse that the bat delivers to the ball? express your answer to two significant figures and include the appropriate units. databricks delta lake ensures data governance through unity catalog. what does this refer to? In this problem we have datapoints (0,0.9), (1, -0.7), (3,-1.1), (4,0.4). We expect these points to be approximated by some trigonometric function of the form y(t) = ci cos(t) + ca sin(t), and we want to find the values for the coefficients c and c2 such that this function best approximates the data (according to a least squared error minimization). Let's figure out how to do it. Please use a calculator for this problem. 22 a) Find a formula for the vector y(0) y(1) y(3) y(4) in terms of c and c2. Hint: Plug in 0, 1, etcetera into the formula for y(t). y(0) Ci y(1) b) Let x = Find a 4 x 2 matrix A such that Ar = Hint: The number cos(1) C2 y(3) y(4) 0.54 should be one of the entries in your matrix A. Your matrix A will NOT have a column of ones. 1 c) Using a computer, find the normal equation for the minimization of ||Ac b||, where b is the appropriate vector in R given the data above. d) Solve the normal equation, and write down the best-fitting trigonometric function. all media professionals hold values that direct their professional behavior, values such as immediacy, skepticism and independence. How many different decision making environments are there in literature? A. One B. Two C. Three D. Four E. Five 2 What is the result of the combination of decision alternative and state of nature is called? A. Data B. Mean C. Standard deviation D. Hurwicz E. Payoff What do we call in decision theory the outcomes on which the decision maker has little or no control? A. Payoff B. Decision Alternative C. Matrix D. State of World E. Status quo 14 In a decision problem, where do we show the consequences of the combination of (decision alternative, state of nature)? A. Payoff matrix. B. State of nature C. Hypothesis testing D. Hurwicz criterion E. Plunger's approach A decision maker calculates the payoff values for decision alternatives, there are four states of nature and the profit values for the first decision alternative are 75, 89, 65, 74. If the decision maker is an optimistic person then which payoff value should be taken from the first decision alternative? A. 68 B. 89 C. 75 D. 65 E. 74 6 A decision maker calculates the payoff values for decision alternatives, there are four states of nature and the cost values for the second decision alternative are 120, 110, 115, 125. If the decision maker is a pessimistic person then which payoff value should be taken from the first decision alternative? A. 100 B. 110 D. 120 C. 115 E. 125 7A decision maker is pessimistic and the minimum payoff values four five decision alternatives are 45, 98, 25, 34, and 95 respectively. Which decision alternative should be chosen by decision maker? A. First B. Second C. Third D. Fourth E. Fifth What do we have to define in Hurwicz criterion? A. Mean B. Error C. Level of optimism D. Expected monetary value E. Variance In a decision problem, decision maker wants to use the Hurwicz criterion. In the decision problem, decision maker defines the level of optimism as 0.40 then what is the level of pessimism in this decision problem? A. 0.40 B. 0.50 D. 0.60 C. 0.55 E. 0.65 A decision alternative has 120 and 160 a payoff values and the probabilities of the associated states of nature are 0.30 and 0.70 respectively What is the expected monetary value of this decision alternative? A. 90 B. 108 C. 124 D. 136 E. 148 e he n. he n. 6. B 7. C If your answer is wrong, please review the "Maximax and Minimin Criterions" section. If your answer is wrong, please review the "Maximax and Minimin Criterions" section. 8. C [f your answer is wrong, please review the "The Hurwicz Criterion" section. 9. D If your answer is wrong, please review the "The Hurwicz Criterion" section. 10. E If your answer is wrong, please review the "Expected Monetary Value" section. Choose h and k such that the system has (a) no solution, (b) a unique solution, and (c) many solutions. Give separate answers for each part.1) x1+x^2=2,4x1+8x2=k2) x1+3x2= 2, 3x1+hx2= k Calculate the amount of money needed at the time of retirement, to cover the costs of living until the end of life. Please consider the following steps in building this model: take an inventory of all costs you expect a regular person to incur during retirement, during a typical month of the year. fill in the amounts for each one calculate the grand total, for that month calculate the grand total for an entire year choose the number of years you anticipate to live after you retire calculate the total amount of money you require, to live for the rest of your life. What is the answer of following question ?Zero-base budgeting means:a. Having a budget of zero where any spending will result in an adverse varianceb. Starting from scratch in calculating the forthcoming years overhead costsc. A budgeting system where variances are zero due to strict financial controld.Having an initial budget of zero that is increased as actual costs occur. A random sample of 100 observations is selected from a binomial population with unknown probability of success, p. The computed value of p is equal to 0.71. Complete parts a through e. .. a. Test H_o: p=0.63 against H_a:p>0.63. Use =0.01. Find the rejection region for the test. Choose the correct answer below. A. z< -2.575 B. z< -2.33 or z>2.33 C. z< -2.33 D. z>2.575 E. z< -2.575 or z>2.575 E. z>2.33 Calculate the value of the test statistic z= _______ (Round to two decimal places as needed.) Make the appropriate conclusion. Choose the correct answer below. A. Do not reject H_o. There is sufficient evidence at the =0.01 level of significance to conclude that the true proportion of the population is greater than 0.63. B. Reject H_o. There is insufficient evidence at the = 0.01 level of significance to conclude that the true proportion of the population is greater than 0.63. C. Reject H_o. There is sufficient evidence at the = 0.01 level of significance to conclude that the true proportion of the population is greater than 0.63. D. Do not reject H_o. There is insufficient evidence at the = 0.01 level of significance to conclude that the true proportion of the population is greater than 0.63. b. Test H_o: p = 0.63 against H_a:p> 0.63. Use = 0.10 Find the rejection region for the test. Choose the correct answer below. A. z< -1.28 or z> 1.28 B. z> 1.28 C. z< -1.28 D. z< -1.645 E. z> 1.645 F. z< - 1.645 or z> 1.645 Calculate the value of the test statistic. Z= _____ (Round to two decimal places as needed.) Make the appropriate conclusion. Choose the correct answer below. A. Do not reject H_o. There is insufficient evidence at the =0.10 level of significance to conclude that the true proportion of the population is greater than 0.63. B. Reject H_o. There is sufficient evidence at the =0.10 level of significance to conclude that the true proportion of the population is greater than 0.63. C. Reject H_o. There is insufficient evidence at the =0.10 level of significance to conclude that the true proportion of the population is greater than 0.63. D. Do not reject H_o. There is sufficient evidence at the =0.10 level of significance to conclude that the true proportion of the population is greater than 0.63. c. Test H_o: p = 0.91 against H_a:p0.91. Use = 0.05. Find the rejection region for the test. Choose the correct answer below.A. z< - 1.96 B. z> 1.96 C. z< - 1.645 or z> 1.645 D. z> 1.645 E. z< -1.96 or z> 1.96 F. z< - 1.645 Calculate the value of the test statistic. z= ______ (Round to two decimal places as needed.) Make the appropriate conclusion. Choose the correct answer below. A. Do not reject H_o. There is insufficient evidence at the = 0.05 level of significance to conclude that the true proportion of the population is not equal to 0.91. B. Reject H_o. There is sufficient evidence at the = 0.05 level of significance to conclude that the true proportion of the population is not equal to 0.91 C. Reject H_o. There is insufficient evidence at the = 0.05 level of significance to conclude that the true proportion of the population is not equal to 0.91.D. Do not reject H_o. There is sufficient evidence at the = 0.05 level of significance to conclude that the true proportion of the population is not equal to 0.91.d. Form a 95% confidence interval for p. _____,______(Round to two decimal places as needed.) e. Form a 99% confidence interval for p ____,_____ (Round two decimal places as needed.) Which of the following does a life insurance policy summary normally include?A) The policy's cash valueB) Agent's reportC) Policyowner's MIB reportD) Stated beneficiary the area in square units , between the curve and the x-axis on the interval[-3,4] is closest to: he storytelling timeline of arrival is ____________, as is every visual and linguistic motif in the film. Why would the electoral system matter to explain levelsof redistribution? How plausible do you find the theoreticalarguments that connect electoral systems and policymaking? On1/2/2021, the County of Santa Teresa issued a 20-year-life serial bond with a principal of $8,000,000 and 5% annual interest Interests are paid on January 1 and July 1 with $400,000 in bonds being retired on each interest payment date. The debt service fund levies property taxes in the amount to cover interest and principal paymentsPrepare entries for the Debt Service Fund for the following transactions. 1. Prepare the entries to record the budget for the debt service fund for Year 20212. Prepare the entry to levy the property taxes 3. Prepare the entry to pay the interest and principal on 7/1/2021 create indicator variables for the 'history' column. considering the base case as none (i.e., create low, medium and high variables with 1 denoting the positive case and 0 the negative)