app 19.study
Tools
Tools
Probability
Jacob performed an experiment with a weighted die, numbered 1 to 6. He rolled the die 125 times and recorded the results.
Complete the table below.
0.232
37
24
0.176
18
0.048
0.104
22
Result of Roll
Frequency
Experimental
Probability
1
2
13
3
0.144
4
29
5
0.296
6
Reset
Submit

Answers

Answer 1

Answer:

[tex]1 \to 22 \to 0.176[/tex]

[tex]2 \to 13 \to 0.104[/tex]

[tex]3 \to 18 \to 0.144[/tex]

[tex]4 \to 29 \to 0.232[/tex]

[tex]5 \to 37 \to 0.296[/tex]

[tex]6 \to 6 \to 0.048[/tex]

Step-by-step explanation:

Given

[tex]n = 125[/tex]

See attachment for proper table

Required

Complete the table

Experimental probability is calculated as:

[tex]Pr = \frac{Frequency}{n}[/tex]

We use the above formula when the frequency is known.

For result of roll 2, 4 and 6

The frequencies are 13, 29 and 6, respectively

So, we have:

[tex]Pr(2) = \frac{13}{125} = 0.104[/tex]

[tex]Pr(4) = \frac{29}{125} = 0.232[/tex]

[tex]Pr(6) = \frac{6}{125} = 0.048[/tex]

When the frequency is to be calculated, we use:

[tex]Pr = \frac{Frequency}{n}[/tex]

[tex]Frequency = n * Pr[/tex]

For result of roll 3 and 5

The probabilities are 0.144 and 0.296, respectively

So, we have:

[tex]Frequency(3) = 125 * 0.144 = 18[/tex]

[tex]Frequency(5) = 125 * 0.296 = 37[/tex]

For roll of 1 where the frequency and the probability are not known, we use:

[tex]Total \ Frequency = 125[/tex]

So:

Frequency(1) added to others must equal 125

This gives:

[tex]Frequency(1) + 13 + 18 + 29 + 37 + 6 = 125[/tex]

[tex]Frequency(1) + 103 = 125[/tex]

Collect like terms

[tex]Frequency(1) =- 103 + 125[/tex]

[tex]Frequency(1) =22[/tex]

The probability is then calculated as:

[tex]Pr(1) = \frac{22}{125}[/tex]

[tex]Pr(1) = 0.176[/tex]

So, the complete table is:

[tex]1 \to 22 \to 0.176[/tex]

[tex]2 \to 13 \to 0.104[/tex]

[tex]3 \to 18 \to 0.144[/tex]

[tex]4 \to 29 \to 0.232[/tex]

[tex]5 \to 37 \to 0.296[/tex]

[tex]6 \to 6 \to 0.048[/tex]

App 19.studyToolsToolsProbabilityJacob Performed An Experiment With A Weighted Die, Numbered 1 To 6.

Related Questions

Which of the following options have the same value as 30% percent of 81?

Answers

Answer:

24.3

Step-by-step explanation:

30% of 81 can be found by converting the percentage into the fraction 0.30 and then multiplying:  0.30(81) = 24.3

A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge on the water line gives the flow rate (in cubic meters per hour) at any instant. The flow rate is about 100 m3/hr at 6 am and increases steadily to about 280 m3/hr at 9 am. Using only this information, give your best estimate of the total volume of water used by the factory between 6 am and 9 am.

Answers

Answer:

570 m³

Step-by-step explanation:

The volume of water is the product of flow rate of water and the time taken. We are to get the volume of water used between 6 am and 9 am, that is for 3 hours (9 - 6).

We are given the flow rate at 6 am and the flow rate at 9 am, but this flow rate changes between 6 am and 9 am. To get the estimate of the water used, Let us assume that it flows at the same flow rate as it was at 6 am throughout, hence:

[tex]V_L= 100 m^3/h * 3h=300\ m^3[/tex]

Also, let us assume that it flows at the same flow rate as it was at 9 am throughout, hence:

[tex]V_R= 280 m^3/h * 3h=840\ m^3[/tex]

To get the best estimate of the total volume, let us find the average of the two values, hence:

[tex]Volume=\frac{V_L+V_R}{2} =\frac{300+840}{2}=570\ m^3[/tex]

For what angles are sine and cosine the same?

Answers

Answer:

e

Step-by-step explanation:


y = 2x+10 shows the price, y, for x hours of contractor labor. How much for 10 hours of labor?

Answers

Answer:

$30

Step-by-step explanation:

Plus in 10 into the equation

Price=2(10)+10

Price=20+10

Price=30

what is the value of 3 in 728.36

Answers

the 3 is .3, or 3 tenths, because the 3 is in the tenths place

The length of arc GJ is equivalent to 26π/3 units.

What is place value?

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

Given is the value of 3 in 728.36.

In 728.36, the digit 3 is at tenths place. The digit 6 is at units place. We can say that the digit 3 is at tenths place in the decimal number 728.36.

Therefore, the digit 3 is at tenths place in the decimal number 728.36.

To solve more questions on place value, visit the link-

https://brainly.com/question/29213222

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Find the missing side of each right triangle (((((Pythagorean’s Theorem))))))))

Answers

Answer:

3.87

Step-by-step explanation:

? = a

b = 1

c = 4

a² + b² = c²

a² + 1² = 4²

a² + 1 = 16

a² = 15

a = 3.8729

Rounded to hundredths: 3.87

please help for 30 points!!

Answers

Answer:

AB = √17     4.1

GH = 4√2    5.7

Step-by-step explanation:

AB = 1²+4²=c²

1+16=c²

17=c²

√17=c

c=4.1

GH = 4²+4²=c²

16+16=c²

32=c²

√32=c

4√2=c

C=5.7

4.1 and 5.7 for the exact lengths

Find the measure of minor arc QN.
M
0
K
IN
38
Р

Answers

Answer:

142°

Step-by-step explanation:

Minor arc QN = m(MN) + m(QM)

n(MN) = m<MKN = 90° (central angle = measure of intercepted arc)

m(NO) = m<NKO = 38° (measure of intercepted arcs)

m(QM) = 180° - (m(MN) + m(NO)) (half circle)

Substitute

m(QM) = 180° - (90° + 38°)

m(QM) = 52°

✔️Minor arc QN = m(MN) + m(QM)

Substitute

Minor arc QN = 90° + 52° = 142°

Maya keeps her bolts in a large box in her garage. The total number of bolts in the box, f(x), is determined by the number of models (x) that she builds. The graph below shows that this relationship is a linear function. Which of the following would be the largest possible value in the domain of Maya’s function?

4
10
11
12

Answers

Answer:

4

Step-by-step explanation:

The domain of a function consist of all possible values of x that will give us corresponding values of y.

From the graph given, the points plotted indicates on the x-axis that the largest possible value we can have on the x-axis which represents Maya's Domain function is x = 4.

4 is the highest domain of Mayas function.

In the triangle below,
y = [ ? ) cm. Round to the
nearest tenth.
15 cm
х
35
90°
y
Enter

Answers

Answer:
y ≈ 12.3
Good luck

The measures of the angles of A ABC are given by the expressions in the table.
Angle
Measure
А
(6x- 1)
B
20°
с
(x + 14)
What are the measures of angles A and C?

Answers

First You add all given angles up to equal 180 to give you x then you plug x into equations

A= 125 degrees

C= 35 degrees

What is the answer???

Answers

This is the area, good luck

Hey, please could someone help :)

Answers

Step-by-step explanation:

Under 18 tickets: 5062-3484=1578

Total money: 3484*18+1578*12=81648$

100%-85%=15% goes to community projects

So, (15/100)*81648=12247.2 $

The answer is $12,247.20

3484 tickets are adults tickets, which means that 1578 are under 18 tickets since 5062-3484=1578. Then you multiply 3484 by the price of the adult tickets and 1578 by the price of the under 18 tickets and add them together. 3484*18=62712, and 1578*12=18936. 62712+18936=81648. This means that in total, they made $81,648 in ticket sales. Then you have to find how much went to the community projects. 15% of ticket sales go to the community so $81,648*(0.15) equals $12,247.20

Find the area of the semicircle. Enter the an exact answer in terms of or use 3.14 for and enter your answer as a decimal. PLEASE ANSWER NOW!

Answers

Answer:

6.28 units²

Step-by-step explanation:

The formula for finding the area of a circle:

πr²

We are given r = 2. So,

π(2)²

12.56 units²

However, it is a semicircle. So, only half of this value is needed.

12.56/2 = 6.28 units²

Answer:

area =12.56

Step-by-step explanation:

area of a semicircle=(pi(r)^2)/2

(3.14(2)^2)/2

(3.14(4))/2

12.56/2

6.28

An organization purchases 10 computers from a manufacturer with lifetimes modeled as exponential variables (mean of 5 years). What is the probability that at least 6 computers are functioning beyond 6 years

Answers

Answer:

0.0482 = 4.82% probability that at least 6 computers are functioning beyond 6 years

Step-by-step explanation:

For each computer, there are only two possible outcomes. Either it works beyond 6 years, or it does not. The probability of a computer working beyong 6 years is independent of any other computes. This means that the binomial probability distribution is used to solve this question.

As the lifetime of a computer is an exponential variable, the probability of a computer working beyond 6 years is found using the exponential distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

Probability of a computer working beyong 6 years:

Mean of 5 years means that [tex]m = 5, \mu = \frac{1}{5} = 0.2[/tex]

The probability is:

[tex]P(X > 6) = e^{-0.2*6} = 0.3012[/tex]

What is the probability that at least 6 computers are functioning beyond 6 years?

10 computers means that [tex]n = 10[/tex]

0.3012 probability of a computer working beyond 6 years means that [tex]p = 0.3012[/tex]

This probability is:

[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 6) = C_{10,6}.(0.3012)^{6}.(0.6988)^{4} = 0.0374[/tex]

[tex]P(X = 7) = C_{10,7}.(0.3012)^{7}.(0.6988)^{3} = 0.0092[/tex]

[tex]P(X = 8) = C_{10,8}.(0.3012)^{8}.(0.6988)^{2} = 0.0015[/tex]

[tex]P(X = 9) = C_{10,9}.(0.3012)^{9}.(0.6988)^{1} = 0.0001[/tex]

[tex]P(X = 10) = C_{10,10}.(0.3012)^{10}.(0.6988)^{0} \approx 0[/tex]

[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0374 + 0.0092 + 0.0015 + 0.0001 + 0 = 0.0482[/tex]

0.0482 = 4.82% probability that at least 6 computers are functioning beyond 6 years

Determine the amplitude or period as requested. Amplitude of y = cos 5x a (2pi)/5 b 1 d 5

Answers

Answer:

The amplitude is 1

Step-by-step explanation:

Given

The right function is:

[tex]y = \cos(5x + \frac{2}{5}\pi) +5[/tex]

Required

Determine the amplitude

The general cosine function is:

[tex]y = A\cos(k(x + c)) +d[/tex]

Where

[tex]Amplitude = |A|[/tex]

Compare [tex]y = A\cos(k(x + c)) +d[/tex] and [tex]y = \cos(5x + \frac{2}{5}\pi) +5[/tex]

[tex]A = 1[/tex]

So:

[tex]Amplitude = |1|[/tex]

So, we have:

[tex]Amplitude = 1[/tex]

What is the equation of a line that goes through (2,5) and (-2, 3)?​

Answers

Answer:

y = 1/2x+4

Step-by-step explanation:

First find the slope

m= (y2-y1)/(x2-x1)

   = (3 - 5)/(-2 -2)

    = -2/-4

   = 1/2

Using point slope form

y -y1 = m(x-x1)  where m is the slope and (x1,y1) is a point on the line

y-5 = 1/2(x-2)

Distribute

y-5 = 1/2x -1

Add 5 to each side

y-5+5 = 1/2x -1+5

y = 1/2x+4

Shun is going to flip a fair coin 450450450 times.
Complete the following statement with the best prediction.
The coin will land tails up...
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Exactly 175175175 times

(Choice B)
B
Close to 175175175 times but probably not exactly 175175175 times

(Choice C)
C
Exactly 225225225 times

(Choice D)
D
Close to 225225225 times but probably not exactly 225225225 times

Answers

Answer:

c

exactly 225225225 times

Answer:

The answer is- Close to 225225225 times but probably not exactly 225225225 times

Step-by-step explanation:

according to Khan Academy

The diagram shows Maha's garden.

AB = 15.3 m.
BC= 13.6m.
AD = 24.0m.
Find the perimeter of the garden.​

Answers

Answer:

perimeter = 71.4 m

Step-by-step explanation:

using the Pythagorean theorem:

CD² = 15.3² + (24 - 13.6)² = 234.09 + 108.16 = 342.25

CD = √342.25 = 18.5

perimeter = 24 + 15.3 + 13.6 + 18.5 = 71.4 m

Please help I beg you, I will pay too

Do you think standardized testing to measure the effects of the pandemic is “unnecessary or even actively harmful” this year — or, do you think schools need to administer those tests to see where students stand

Answers

Answer:

Read the claim. Schools should stop doing standardized testing. Read the counterclaim. The Department of Education says that teaching students to do well on standardized tests helps to motivate students and keep them focused on important subjects. Read the rebuttal. On the contrary, being forced to focus on testing stresses students and limits the amount of knowledge they can gain. How can the writer revise the rebuttal to make it stronger

A car wash attendant counted the number of cars washed and the total amount of money earned. The company charged the same price for each car washed and earned $165 for 15 cars, $231 for 21 cars, and $275 for 25 cars. Write an equation for the relationship between the number of cars washed, n, and the number of dollars earned, m.

Answers

The answer is m(n)= 11n
If you take the different of the money from 21 cars and 25 cars, you get 44 and since 21 and 25 is only a difference of 4, you’ll divide the 44 earned by the 4 cars washed to get $11 per car and then just make sure to use the correct variables

Find the zero of the function f(x)=0.8e^2x -9. Round to the nearest hundredth.

Answers

Answer: x=1.21

Step-by-step explanation:

Given

Function is [tex]f(x)=0.8e^{2x}-9[/tex]

To find the zeroes, equate the function equal to zero

[tex]\Rightarrow 0.8e^{2x}-9=0\\\\\Rightarrow e^{2x}=\dfrac{9}{0.8}\\\Rightarrow e^{2x}=11.25[/tex]

taking natural logarithm both sides

[tex]\Rightarrow \ln (e^{2x})=\ln (11.25)\\\Rightarrow 2x=2.42\\\Rightarrow x=1.21[/tex]

The zero of the equation is 1.21

The triangle shown is rotated about line m.
What is the approximate base area of the resulting three-
dimensional figure?
Area of a circle: A = rr?
m
10 cm
8 cm
38 sq. cm
113 sq. cm
201 sq. cm
314 sq. cm
6 cm

Answers

Answer:

B 113

Step-by-step explanation:

on edg

From the information given, the area of the circle is: "113 sq. cm".

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

The formula to find the area of a circle is,

Area = πr².

Now, Using the side as the radius of the circle, we can calculate the area of the base area.

Here,

Radius r = 6

Thus, We get;

A = π x 6²

A = (22/7) x 36

A = 3.14285714286 x 36

A = 113.12

A ≈ 113 square unit.

Hence, The area of the circle is,

⇒ A =  113 sq. cm.

Learn more about the area of a circle visit:

brainly.com/question/14068861

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Which expression is equivalent to j(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)?

o 13'
o 13j
o j13
oj + 13

need help fast pls!

Answers

Hopes this helps:

Answer: j^13

Please give me a brainlist if it’s right

HELP!! geometry homework

Answers

Answer:

2794 in³

Step-by-step explanation:

Given

base (a) = 17 in

vertical height (h) = 29 in

Now

Volume of the square pyramid

= 1/3 a²h

= 1/3 * 17² * 29

= 2793.7 in³

= 2794 in³

hope it helps :)

Answer:

2794

Step-by-step explanation:

V=s^2 times height over three

17^2 times 29/3

PEMDAS, exponents first

17^2=289

PEMDAS, next up multiplication

289 times 29/3

8381/3 or 2793.7

round to nearest whole number

2794

Pls help I'll give brainlest

Answers

Answer:

6

Step-by-step explanation:

a=V⅓=216⅓=6

hope this helped

Answer:

the answer is 6 because on each side there is 36 cubic units meaning you need to multiply 6 by what ever number untill you get to 36 and 6*6=36

Step-by-step explanation:

UwU

A manufacturing company produces 275 units per day currently. The company's goal is to increase the number of units
manufactured per day by 50 each year. If the company meets its goal, how many units will it be producing per day 8 years
from now?
Select the correct answer below:
333
400
625
675
725

Answers

Answer:

D) 675 units per day.

Step-by-step explanation:

We can write a function to model the situation.

The company is currently producing 275 units per day.

And it will increase its production by 50 units after each year.

Therefore, after y years, its production in units per day will be:

[tex]f(y)=275+50y[/tex]

Then 8 years from now, the company will be producing:

[tex]f(8)=275+50(8)=275+400=675\text{ units per day.}[/tex]

Our answer is D.

Find the value of x. Round to the nearest tenth. x=
27 , 34 , 11 ,


Will give brainliest

Answers

Answer:

13.5

Step-by-step explanation:

your teacher wrote all the tools you need down already.

we only need to apply them.

is that really so difficult ?

because of the law of sines we have

sin(27)/11 = sin(34)/x

we can also turn this upside down to simplify the calculation.

11/sin(27) = x/sin(34)

x = 11×sin(34)/sin(27) = 13.549 ≈ 13.5

there, that was all there was to it ...

what is this y=
[tex] \frac{3}{2}x+3 [/tex]
the y=-3​

Answers

Answer:

X=-4

Step-by-step explanation:

If you are finding x,

set these two functions equal to each other

3/2x+3=-3

3/2x=-6

x=-4

3x/2 = -6
X = -4 is the answer

A baseball league finds that the speeds of pitches are normally distributed,
with a mean of 89 mph and a standard deviation of 2.4 mph. One pitch is
thrown at a speed of 83.2 mph. What is the z-score of this pitch? Round your
answer to two decimal places.
A. -2.42
B. -2.72
C. 2.42
D. 2.72

Answers

It’s A -2.42 I took the test on it
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