is the equation y = x ^2 + 3 a function?

(a) The probability of success is 65% or 0.65, and the number of trials is 50.

(b) The probability as follows:

P(X ≤ 30) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 30)

(C) The probability as follows:

P(X ≥ 35) = P(X = 35) + P(X = 36) + P(X = 37) + ... + P(X = 50)

a. The probability of exactly 32 of the 50 IT businesses generating a profit in the next year can be calculated using the binomial distribution formula. In this case, the probability of success (a business generating a profit) is 65% or 0.65, and the number of trials is 50. Using the formula, we can calculate the probability as follows:

P(X = 32) = C(50, 32) * (0.65)^32 * (1 - 0.65)^(50 - 32)

where C(n, k) represents the binomial coefficient, equal to n! / (k! * (n - k)!). Calculating this expression gives us the probability that exactly 32 businesses will generate a profit.

b. To calculate the probability that at most 30 businesses will generate a profit, we need to find the cumulative probability from 0 to 30. We can calculate the probability as follows:

P(X ≤ 30) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 30)

The problem involves determining the probability that at most 30 out of 50 IT businesses will generate a profit in their first year. We can use the binomial distribution formula to calculate this probability. The formula is given by:

P(X ≤ k) = Σ (nCk * p^k * q^(n-k))

Where:

P(X ≤ k) is the probability of having at most k successes,

n is the number of trials (50 businesses),

k is the number of successes (profitable businesses),

p is the probability of success (65% or 0.65),

q is the probability of failure (35% or 0.35),

nCk is the combination formula (n choose k).

To find the probability that at most 30 businesses will generate a profit, we need to calculate the cumulative probability from 0 to 30. Using the binomial distribution formula, we can find the probability of each possible outcome (0, 1, 2, ..., 30) and sum them up. The cumulative probability can be calculated using software or statistical tables.

c. To calculate the probability that at least 35 businesses will generate a profit, we need to find the cumulative probability from 35 to 50. We can calculate the probability as follows:

P(X ≥ 35) = P(X = 35) + P(X = 36) + P(X = 37) + ... + P(X = 50)

These calculations can be performed using a statistical software package, spreadsheet software, or using statistical tables for the binomial distribution.

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Answer:

3-6

Step-by-step explanation:

The expression 3⁻⁶ × (3⁴ ÷ 3⁰)² value is 9 which is 3².

To simplify the given expression: 3⁻⁶ × (3⁴ ÷ 3⁰)², let's break it down step by step:

First, let's simplify the exponent expressions within the parentheses:

3⁴ = 81 (because 3⁴ = 3 × 3 × 3 × 3 = 81)

3⁰ = 1 (because any number raised to the power of 0 is 1)

Now, we can rewrite the expression with the simplified exponents:

3⁻⁶ × (81 ÷ 1)²

Next, simplify the division within the parentheses:

81 ÷ 1 = 81

Now, the expression becomes:

3⁻⁶ × 81²

Simplify the exponent:

81² = 6561 (because 81 × 81 = 6561)

Now, the expression becomes:

3⁻⁶ × 6561

1/729 × 6561

6561/729

dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 9:

729/81

We get 9 which is equal to 3².

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Answer: 13750+262=14,012 ft^3

Step-by-step explanation:

Hello!!!

Find the volume of the bottom and top separately and then add them. Cylinder volume is the area of the bottom times the height (22/7)(5^2)•175=13750 ft^3

The volume of a sphere isV=(4/3)(22/7)r^3where r is the radius.  also 5 since it fits on the cylinder. Also we only want half the sphere so useV=(2/3)(22/7)•5^3=261.9 ft^3 round upto 262. Now add  together 13750+262=14,012 ft^3

Hope this helps~!!!!!

Answer:

V= 5224.96

Step-by-step explanation:

To find the volume for a cylinder, you need to use the formula

V=(pi)r^2h.

The question gives is the diameter. The radius is half of the diameter, so you would divide by 2.

16/2 = 8.

Now we plug in the numbers and solve.

V= (pi) 8^2(26)

V= (pi)(64)(26)

V=(pi)(1664)

V= 5224.96

Answer:

find the cube root of 216 to get the length of one side as you get the volume of a cube by length x length x length

Step-by-step explanation:

the the cube root of 216 is 6

so the length of one side is 6 inches

Hope This Helps :)

Answer: I think it is 54 because there are four sides of a cube. So I just did 216/4 and got 54.

Step-by-step explanation:

Might be wrong but this is what I think the answer is.

Answer:

Eso es loca

Step-by-step explanation:

brainliest please??

Answer:

OK

Step-by-step explanation:

Darren had a better score than Jennifer based on their respective test scores.

To compare their scores, we need to consider their individual test scores in relation to the mean and standard deviation of each test.

For Darren's score of 57 on the Miller Analogies Test, we can calculate the z-score using the formula:

z = (x - μ) / σ

where x is the individual score, μ is the mean, and σ is the standard deviation. Plugging in the values, we have:

z = (57 - 50) / 5 = 1.4

For Jennifer's score of 120 on the WISC Intelligence Test, we can calculate the z-score using the same formula:

z = (120 - 100) / 15 = 1.33

Comparing the z-scores, we can see that Darren's z-score of 1.4 is higher than Jennifer's z-score of 1.33. A higher z-score indicates a score that is further above the mean relative to the standard deviation. Therefore, Darren's score of 57 on the Miller Analogies Test is relatively better than Jennifer's score of 120 on the WISC Intelligence Test in terms of their respective distributions.

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The 90% confidence interval for the  population proportion of flips that will be heads is given as follows:

(0.746, 0.814).

The interpretation is that we are 90% sure that the true proportion of all tosses with this coin is between these two bounds.

A confidence interval of proportions has the bounds given by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

The parameters for this problem are given as follows:

[tex]n = 400, \pi = \frac{312}{400} = 0.78[/tex]

The lower bound of the interval is given as follows:

[tex]0.78 - 1.645\sqrt{\frac{0.78(0.22)}{400}} = 0.746[/tex]

The upper bound is given as follows:

[tex]0.78 + 1.645\sqrt{\frac{0.78(0.22)}{400}} = 0.814[/tex]

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Answer:

First of all, we have to make area km by multiplying 10 then solve, the answer is 5

The answer would be 4m

In Exhibit 34-1, the opportunity cost of one unit of Y in Country B is 2 units of X.

Opportunity cost refers to the value of the next best alternative that is forgone when making a choice. In this case, the opportunity cost of one unit of Y in Country B is being compared to the amount of X that could be produced instead.

The given information states that the opportunity cost of one unit of Y in Country B is 2 units of X. This means that for every unit of Y that Country B produces, it must give up the production of 2 units of X. In other words, the resources and efforts that could have been used to produce 2 units of X are instead allocated to producing one unit of Y.

This relationship indicates the relative trade-off between the production of X and Y in Country B. By sacrificing the production of 2 units of X, Country B can produce one unit of Y. The opportunity cost of producing Y is therefore 2 units of X.

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Answer: Yes

Step-by-step explanation: All vertical lines have the same slope and because of that they are always parallel.

Using mathematical operators, the value of x in the equation is -3

An equation is a mathematical statement that shows that two expressions are equal. There are different types of equations based on the degree. Linear equation, quadratic equation, and cubic equation are some of the common types of equations.

Linear equations have one degree, quadratic equations have two degrees, and cubic equations have three degrees. The degree of an equation is the highest power of the variable in the equation.

In the given problem, we can find the value of x by using mathematical operators.

6(4x + 1) - 3(2x - 3) = 3(4x - 5) - 6(x + 1)

Open the brackets;

24x + 6 - 6x + 9 = 12x - 15 - 6x - 6

Collect like terms

24x - 6x + 9 + 6 = 12x - 6x - 6 - 15

18x + 15 = 6x - 21

18x - 6x = -21 - 15

12x = -36

Divide both sides by the coefficient of x;

12x/12 = -36/12

x = -3

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The sample size required to estimate the true proportion of jets with the wiring problem with 90% confidence and an error of +4% is approximately 92 (rounded up to the nearest whole number).

To determine the sample size needed to estimate the true proportion of jets with the wiring problem, we can use the formula for sample size calculation for proportions:

n = ([tex]Z^2 * p * q[/tex]) / [tex]E^2[/tex]

Where:

n = sample size

Z = Z-score corresponding to the desired confidence level (90% confidence corresponds to a Z-score of 1.645)

p = estimated proportion (16/24 = 0.6667)

q = 1 - p

E = maximum error tolerance (4% = 0.04)

Let's calculate the sample size:

p = 0.6667

q = 1 - p = 0.3333

E = 0.04

Z = 1.645

n = ([tex]1.645^2[/tex] * 0.6667 * 0.3333) / [tex]0.04^2[/tex]

n ≈ 91.62

Regarding the decision to conduct further sampling or inspect all the planes, it depends on the context and resources available. If inspecting all the planes is feasible and does not require excessive time or cost, it might be preferred to ensure the safety of all aircraft.

However, if conducting further sampling is a practical and reliable way to estimate the proportion while saving time and resources, the airline might choose to conduct additional sampling.

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Answer:

6.76x10^5

^ represents to the 5th power

Step-by-step explanation:

Answer:

Mild- 5x=50 4x=40  

Medium- 90- 48=42, 42/2=21 so, 2x=21    

Spicy- 90-25=65, 65+18=83

Step-by-step explanation:

I'm gonna guess that this is the angle measurement so.....

Answer:

V=141.3

Step-by-step explanation:

V=π*r2*h or V=B.h

V=3.14*(3*3)*5

V=3.14*9*5

V=141.3

Answer:

64

Step-by-step explanation:

square= 16

triangle= 12

12*4 = 48+16 = 64

Answer:

64 m²

Step-by-step explanation:

Hello There!

The surface area is the total area of the figure

So in order to find the area we need to find the area of each shape

For the square:

the square has a length of 4 so we can simply find the area by squaring it

4 * 4 = 16

so the area of the square is 16 square meters

Now we need to find the area of the triangles

The formula for area of a triangle is

[tex]A=\frac{bh}{2}[/tex]

where b = base and h = height

The triangles dimensions are:

base - 4m

height - 6m

having found these dimensions we plug them in into the formula

[tex]A=\frac{4*6}{2} \\4*6=24\\\frac{24}{2} =12[/tex]

so the area of one of the triangles is 12 square meters

We want to find the total area of all of the triangles

To do so we multiply the area of one triangle by 4 (because there are four triangles)

12 * 4 = 48

So the total area of the four triangles is 48 square meters

Finally we add the two areas

48 + 16 = 64

so we can conclude that the total surface area of the pyramid is 64 m²

Answer:

I think the answer is A 64cm cubed

The binary expansion of (badfaced)16 is 10111010111111011010111110101101 2.

In order to convert (badfaced)16 from its hexadecimal expansion to its binary expansion, we need to follow the steps below:

Step 1: Write down the hexadecimal number (badfaced)16

Step 2: Write the binary equivalent of each hexadecimal digit (use the table below)

Step 3: Combine all the binary digits to get the answer

Table showing the binary equivalent of each hexadecimal digit Binary Equivalentb00001011a00001010d00001101f00001111a00001010c00001100e00001110d00001101

Step 2: Writing the binary equivalent of each hexadecimal digit(badfaced)16 = b a d f a c e d

Step 3: Combining all the binary digits to get the answer(badfaced)16 = 10111010111111011010111110101101 2

Thus, the binary expansion of (badfaced)16 is 10111010111111011010111110101101 2.

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The equation of the sphere in standard form, one of whose diameters have (-5, 2, 9) and (3, 6, 1) as endpoints, is [tex]x^2 + y^2 + z^2 - 8x - 4y - 10z + 48 = 0[/tex]. Therefore, the correct option is (d) [tex]x^2 + y^2 + 7 + 2x + 8y - 10z - 6 = 0[/tex].

To find the equation, we start by finding the center of the sphere. The center of the sphere is the midpoint of the line segment connecting the given endpoints. Using the midpoint formula, we find the center to be [tex]((-5 + 3)/2,(2 + 6)/2,(9 + 1)/2) = (-1, 4, 5)[/tex].

Next, we find the radius of the sphere. The radius is half the length of the diameter, which is the distance between the two endpoints. Using the distance formula, we find the radius to be [tex]\sqrt{(-5 - 3)^2 + (2 - 6)^2 + (9 - 1)^2} = \sqrt{64 + 16 + 64} = \sqrt{144} = 12[/tex].

Finally, we substitute the center and radius into the equation of a sphere: [tex](x - h)^2 + (y - k)^2 + (z - l)^2 = r^2[/tex], where (h, k, l) is the center and r is the radius. Plugging in the values, we get [tex](x + 1)^2 + (y - 4)^2 + (z - 5)^2 = 12^2[/tex].

Expanding and simplifying, we arrive at the equation for sphere's standard form, [tex]x^2 + y^2 + z^2 - 8x - 4y - 10z + 48 = 0[/tex].

Therefore, the correct option is (d) [tex]x^2 + y^2 + 7 + 2x + 8y - 10z - 6 = 0[/tex].

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The Argument Principle for meromorphic functions states that the integral of the logarithmic derivative of a meromorphic function around a closed curve is equal to 2πi times the sum of the winding numbers of the curve around its zeros and poles. This result is derived using the Residue Theorem and the properties of zeros and poles.

To prove the Argument Principle for meromorphic functions, we start by considering a meromorphic function f(z) on a closed curve C, where f(z) is holomorphic except at a finite number of isolated singularities (poles and/or removable singularities) within the region enclosed by C. We assume that C is positively oriented.

The Argument Principle states that the integral of the logarithmic derivative of f(z) along the curve C is equal to 2πi times the sum of the winding numbers of the curve around the singularities of f(z) within the region enclosed by C. Mathematically, it can be expressed as:

∮C (f'(z)/f(z)) dz = 2πi (N - P)

where N is the sum of the winding numbers of C around the zeros of f(z) and P is the sum of the winding numbers of C around the poles of f(z).

To prove this, we can use the Residue Theorem. First, we write f(z) as a product of its zeros and poles:

f(z) = (z - z₁)^(n₁) (z - z₂)^(n₂) ... (z - z_N)^(n_N) / (z - w₁)^(m₁) (z - w₂)^(m₂) ... (z - w_P)^(m_P)

where z₁, z₂, ..., z_N are the zeros of f(z) with respective multiplicities n₁, n₂, ..., n_N, and w₁, w₂, ..., w_P are the poles of f(z) with respective multiplicities m₁, m₂, ..., m_P.

Taking the logarithmic derivative of f(z), we get:

(f'(z)/f(z)) = ∑ (n_j/(z - z_j)) - ∑ (m_k/(z - w_k))

Now, we consider the integral of (f'(z)/f(z)) dz along the closed curve C. By the Residue Theorem, this integral can be evaluated as the sum of the residues of the function (f'(z)/f(z)) at its isolated singularities within the region enclosed by C.

The residues at the zeros z_j of f(z) are given by n_j, and the residues at the poles w_k of f(z) are given by -m_k. Therefore, the integral becomes:

∮C (f'(z)/f(z)) dz = ∑ (n_j) - ∑ (m_k) = N - P

where N is the sum of the winding numbers of C around the zeros of f(z), and P is the sum of the winding numbers of C around the poles of f(z).

Finally, using the fact that the integral of (f'(z)/f(z)) dz is equal to 2πi times the sum of the residues, we arrive at:

∮C (f'(z)/f(z)) dz = 2πi (N - P)

which proves the Argument Principle for meromorphic functions.

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The probability that a randomly selected adult female has a pulse rate less than 70 beats per minute is about 0.4371.

a. To find the probability that a randomly selected adult female has a pulse rate less than 70 beats per minute, one have to calculate the z-score and use the standard normal distribution.

The z-score can be calculated as:

z = (x - μ) / σ

where:

x =  the value (70 beats per minute)

μ = the mean (72.0 beats per minute)

σ = the standard deviation (12.5 beats per minute).

So putting it into the formula, it will be:

z = (70 - 72.0) / 12.5

z = -0.16

One can know probability using the z-score.

Check z-score in the standard normal distribution table, and the value will be 0.4371 (rounded to four decimal places).

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Answer:

x=10

Step-by-step explanation:

Answer:

Total 100% or 25 students

Swimming 36%  or 9 students

Lacrosse 48%  or 12 students

Volleyball 16% or 4 students

Step-by-step explanation:

To do a circle graph, you draw a circle and divide it into all sections.

To know the size of each section, you need to know the total number of every category.

You could draw it with percent.

100% is total, and you know the percent of each sport.

They told you 12 students choose lacrosse so, this represents 48%.

Now, you can find the other numbers with cross-multiplication.

48%____12

100%____X=

X=(100x12)/48=25

Total students: 25

Students that named lacrosse: 12 or 48%

100%____25

16%____X=

X=(16x25)/100=4

Students that named Volleyball: 4 or 16%

100%____25

36%____X=

X=(36x25)/100=9

Students that named Swimming: 9 or 36%

To confirm: 12 + 9 + 4 = 25

Brainlist Pls!

Answer:

50

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

100-60=40