Computer software generated 500 random numbers that should look like they are from the uniform distribution on the interval 0 to 1. They are categorized into five groups:

1. less than or equal to 0.2
2. greater than 0.2 and less than or equal to 0.4
3. greater than 0.4 and less than or equal to 0.6
4. greater than 0.6 and less than or equal to 0.8
5. greater than 0.8.

The counts in the five groups are 113, 95, 108, 99, and 85, respectively. The probabilities for these five intervals are all the same. What is this probability? Compute the expected number for each interval for a sample of 500. Finally, perform the goodness of fit test and summarize your results.

Answers

Answer 1

Answer:

0.2 ; 100 ; 4.84

Step-by-step explanation:

Given that the probability of each of the 5 groups is the same :

Sum of probability = 1

Hence, Probability of each group = 1 / number of groups = 1 / 5 = 0.2

Expected number for each interval for a sample of 500 : ; X = 500

E(X) = X * P(x) = 500 * 0.2 = 100

Goodness of fit (X²) :

X² = Σ(X - E)² ÷ E

Groups :

113, 95, 108, 99, and 85

X : 113 ____ 95 ____ 108 ____ 99 _____ 85

(113 - 100)^2 / 100 = 1.69

(95 - 100)^2 / 100 = 0.25

(108 - 100)^2 / 100 = 0.64

(99 - 100)^2 / 100 = 0.01

(85 - 100)^2 / 100 = 2.25

(1.69 + 0.25 + 0.64 + 0.01 + 2.25) = 4.84


Related Questions

write the computer program for;urgent​

Answers

Answer:

I am sorry but I don't know answer

Mark buys a wooden board that is 7 1/2 feet long. The cost of the wooden board is $0.50 per foot, including tax. Enter the total cost, in dollars, of the wooden board.

Answers

Answer:

$3.75

Step-by-step explanation:

The board is 7 and a half feet long. It costs 0.5 per foot.

Therefore we can just multiply the two to find the total cost:

0.5 x 7.5 = $3.75

Hope this helped!

Nancy’s nut store sells peanuts for $2 per pound and cashews for $10 per pound. The store sells a peanut - cashew mixture for $7 per pound. How many pounds of peanuts and how many pounds of cashews should be used to create 40 pounds of the mixture? I’m

Answers

9514 1404 393

Answer:

25 pounds cashews15 pounds peanuts

Step-by-step explanation:

Let c represent the number of pounds of cashews in the mix. Then 40-c is the number of pounds of peanuts. The total cost of the mix is ...

  10c +2(40 -c) = 7(40)

  8c +80 = 280 . . . . simplify

  c +10 = 35 . . . . . . . divide by 8

  c = 25 . . . . . . . . . . subtract 10

  40-c = 40-25 = 15 . . . . pounds of peanuts

25 pounds of cashews and 15 pounds of peanuts should be used in the mix.

x/8.5=16/4
what's the answer

Answers

Answer: x = 34

Explanation:

x/8.5 = 16/4
x/8.5 = 4
x = 4 x 8.5
x = 34

ASAP pls help me giving brainliest

Answers

Answer:

4 pounds of flour does not equal 6 pounds of flour

or

4 pounds of concrete is lighter than 6 pounds of concrete

Step-by-step explanation:

20 points for help -Please help I'm stuck and need to find the ordered pair . I think it's -2,2 but I'm not sure .

Answers

You’re correct. The orders park is (-2,2).

[tex]\frac{x-2}{x^2+4x-12}[/tex]

Answers

Answer:

1/(x+6)

Step-by-step explanation:

I'm assuming you want me to factorize

x^2+4x-12 would factorize into (x-2) and (x+6)

Therefore, the numerator (x-2) would cancel with the part of the numerator (x-2) leaving 1/(x+6)

I need help on number one

Answers

answer is 9

Change the sign of the exponent by rewriting the base as its reciprocal

3^2

raise 3 to the power of 2

you get 9

12
13
14
15
A rectangle has a length represented by the function f(x) and a width represented by g(x).
х
3
4.
5
6
P(x) = 2[(f + g)(x)]
16
22
28
34
A(x) = (fºg)(x)
7
18
33
52
Which statement describes the combined functions P(x) and A(x)?
O A(x) is linear, but P(x) is not
OP(x) is linear, but A(x) is not.
O Both P(x) and A(x) are linear.
O Neither P(x) nor A(x) are linear.

Answers

Answer:

answer is will be A(x) is linear, but P (x) is not

The function P(x) = 2[(f + g)(x)] will be linear but A(x) = (f º g)(x) will not be linear.

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is to that a rectangle has a length represented by the function f(x) and a width represented by g(x).

For the function -

P(x) = 2[(f + g)(x)]

We can see that two linear functions are added. So the resulting function will be a linear function.

and

For the function -

A(x) = (f º g)(x)

We can see that the function g(x) act as a domain for the function f(x). This will no longer make the function f(x) linear. So, it will not be linear.

Therefore, the function P(x) = 2[(f + g)(x)] will be linear but A(x) = (f º g)(x) will not be linear.

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Suppose we have a function defined by f(x)=4x+2 What is the value of f(3) ?

Answers

Answer:

um... 12

Step-by-step explanation:

<3

The value of f(3) is given as 14.

What is a function?

A function y = f(x) can be defined as a one to one relation between sets X and Y. The set X is called the domain and Y is called the range of the function.

The given function is as below,

f(x) = 4x + 2

In order to find the value of f(3) substitute x = 3 in the function as,

f(3) = 4 × 3 + 2

     = 12 + 2

     = 14

Hence, the value of the function f(x) at x = 3 is 14.

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If you flip two coins 200 times how many times would you expect the coins to match

Answers

Answer:

100times

Step-by-step explanation:

theoretically it would be a 50/50 so I would expect them to match 50% of the time or 100 times

i expect it to match about 90time i don’t know exactly but that what i think

Which of the following is equivalent to 19 L?
A. 1,900 mL
B. 0.019 mL
C. 19,000 mL
D. 0.0019

Answers

the answer is A which is 1900 ml

A,1,900 is the answer best

The percentage of students in the school that attended the talent show for the years 2008 to 2013 are shown
2008: 86%
2009: 89%
2010: 93%
2011: 85%
2012: 92%
2013: 95%
This year, the school has a total of 360 students. How many students will attend the talent show this year (in %)​

Answers

The school has a total of 360 students. The number of students that would attend this year is 357.

What is the percentage?

A percentage is a minimum number or ratio that is measured by a fraction of 100.

The percentage of students in the school that attended the talent show for the years 2008 to 2013 is shown

2008: 86%

2009: 89%

2010: 93%

2011: 85%

2012: 92%

2013: 95%

Number of students that would attend this year

= percentage of students that attended in 2013 x total number of students

[tex]= \frac{94}{100} \times 380\\= 357.2[/tex]

Thus, 357 to the nearest whole number.

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Sylvia made 32 of her 50 free throws at basketball practice.
What percent of her free throws did she miss?

Answers

Answer: 36%

Step-by-step explanation: A simple way to figure out is to do 32/50 times 2. This makes it 64/100. 100 minus 64 is 36 which is the percent on how much free throws she mised

64 percent
Reason If you divide 32 by 50 you get 0.64 if u take always the zero and period u would have 64 percent

Please check my answer.
Which statement shows that a scuba diver 30 feet below the surface is lower than a kite boarder 3 feet above the surface?
A: -3 > 30
B: -30 > 3
C: 3 < 30
D: 3 > -30 (I picked this one. Am I correct?)

Answers

Answer: its C because 30 is greater than 3

Step-by-step explanation:

Graph the equation y = x2 + 10x + 24 on the accompanying set of axes. You must
plot 5 points including the roots and the vertex.
GIVE ME THE POINTS!!

Answers

Answer:

answers steps below and attached for the 5 points

Step-by-step explanation:

y = x² + 10x + 24

x² + 10x + 24 = 0

(x+4) (x+6) = 0

x = -4 or x = -6        .... Roots: (-4 , 0) and (-6 , 0)

y = (x² + 10x + 25) - 1 = (x+5)² - 1             ... y = (x-h)² + k    (h,k) is vertex

vertex: (-5,-1)

In 2009, Tanvi paid $1,900 in federal income tax. In 2010, she paid 16% more than in 2009. How much did Tanvi pay in 2010?
PLZ NEED ASAP AND EXPLAIN STEP BY STEP!! Thank you!​

Answers

In 2009- She paid $1900

She paid 16% more in 2010

16/100*1900=304

She paid $304 extra

$1900+$304

=$2204

Answer: In 2010 Tanvi paid $2204

Determine the amplitude or period as requested. Amplitude of y=3 cos 1 2

Answers

Answer:

The amplitude is 3

Step-by-step explanation:

Given

The right function is:

[tex]y = 3 \cos(\frac{1}{2}x)[/tex]

Required

The amplitude

A sine function is represented as:

[tex]y =A \cos(Bx + C) + D[/tex]

Where

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

By comparing:

[tex]y = 3 \cos(\frac{1}{2}x)[/tex] and [tex]y =A \cos(Bx + C) + D[/tex]

[tex]A= 3[/tex]

So:

[tex]Amplitude = |3|[/tex]

[tex]Amplitude = 3[/tex]

Hence, the amplitude is 3

Can someone pleaseee help

Answers

Answer:

Step-by-step explanation:

all you have to do is * 7 by 5 and divide by 2

multiply 7 * 5 then divide by 2 which equals to 17.5

find the surface area2 No files

Answers

Answer:

672 sq. inches

Step-by-step explanation:

total surface area:

[tex]2\times ( \frac{1}{2} \times 7 \times 24 ) + (7 \times 9) +(24 \times 9)+(25 \times 9)\\= 672[/tex]

Consider this chart, which details a store’s sales revenue by department. A pie chart titled Sales by Department. Blue is pharmacy, red is clothing, green is hardware, and yellow is gardening. Which of the following statements indicate ways in which this graph is misleading? I. The sections are not numerically labeled. II. The time frame is not mentioned. III. It is unclear which color corresponds to which section. a. I and II b. II only c. I and III d. I, II, and III Please select the best answer from the choices provided A B C D

Answers

Answer:

Answer is A l and ll

Step-by-step explanation:

Hannah has been researching sales of garden supplies. She wants to show the pattern that sales follow over the course of a year. The line graph is most effective for the sales. The correct option is (D).

What is the line graph?

An individual data point is connected by a line in a line graph, sometimes referred to as a line plot or a line chart. A line graph shows numerical values over a predetermined period of time.

here, we have,

Line graphs have two axes that are graphically represented as x and y, respectively (x,y).

There are three types of line graph which are as follows:

Multiple line graph.

Simple line graph.

Compound line graph.

Hence, Hannah has been researching sales of garden supplies. She wants to show the pattern that sales follow over the course of a year. The line graph is most effective for the sales.

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Complete question:

Hannah has been researching sales of garden supplies. She wants to show the pattern that sales follow over the course of a year. Which type of graphic would be most effective?

A. Bar chart

B. Pie chart

C. Flow chart

D. Line graph

What is the area of the obtuse triangle given below?
2 9

Answers

Answer:

The area is 9 unit squared

Step-by-step explanation:

Given

The right parameters are:

[tex]Base = 2[/tex]

[tex]Height = 9[/tex]

Required

The area of the triangle

This is calculated as:

[tex]Area = 0.5 * Base * Height[/tex]

So, we have:

[tex]Area = 0.5 * 2 * 9[/tex]

[tex]Area = 9[/tex]

Hence, the area is 9 unit squared

Four brothers each bought two hotdogs and a bag of chips at the football concession stand.

Answers

Answer:

The total hotdogs are 8 and total bag of chips are 4 and altogether is 12

Step-by-step explanation:

1 brother gets 2 hot dogs and 1 bag of chips

. To find the total hot dogs multiply 2 by 4 and you will get 8

. To find the total chips multiply 4 from 1 and the answer is obviously 4

To find the total together add 4 and 8 you will get 12

HOPE THIS HELPS :)

The Hiking Club plans to go camping in a State park where the probability of rain on
any given day is 3/4. What is the probability that it will rain on at most one of the
four days they are there? Round your answer to the nearest thousandth.

Answers

Answer:

3/4 or 0.75

Step-by-step explanation:

Peter bought 9 tickets to a basketball game. He paid a total of $72. Choose the equation that determines whether each ticket cost $6 or $8

Answers

Answer: hifcnvhkbkjhbjlljn

Step-by-step explanation:

Answer:

8 dollars

Step-by-step explanation:

If you divide 72 by 9, youll get an even number of 8.

Select the correct answer.
graph A graph B


graph C graph D


Which graph correctly represents
3x + y > 7?

A.
graph A

B.
graph B

C.
graph C

D.
graph D

Answers

Answer:

the graph that represents 3×+→7 it is graph b

1 point
Andrea received a $100.00 gift card to an online clothing store. SHe uses
the gift card to buy a shirt for $20.99. She also wants to use the gift card to
buy some pants which cost $10.29. Which of these inequalities describes
the situation, where n is the number of pants Andrea wants to buy?
20.99 + 10.29n 2 100
20.99 + 10.29n s 100
20.99 - 10.29n 2 100
20.99 - 10.29n s 100
Select all of the following equations that have the

Answers

Answer:

20.99+ 10.29n s 100

Step-by-step explanation:

Well your variable is the number of pants she wants to buy, so on top of the shirt she bought it would  20.99 + 10.29n, but you wouldn't put 100$ at the end of the sentence because for all you know she could have gone past 100 dollars. Hope this helps! Also, if we are counting this from 100 it is better to just subtract 20.99 from 100 and divide by 10.29.

5(2 + 2m). Simplify the expression

Answers

Answer:

10m+10

Step-by-step explanation:

5x2=10

5x2m=10m

10m+10

Which expression is equivalent to 1/6 (2x+3y)

Answers

Answer:

x/3+y/2

Step-by-step explanation:

Hello, to find the equivalent expression in this equation, you would first distribute the 1/6 to 2x+3y like this:

2x(1/6)+3y(1/6)

Then, you multiply and you would get x/3+y/2. And that would be the answer.

What is the area, in square centimeters of the shaded part of the rectangle shown below

Answers

100 centimeters is the answer

The area of shaded region is 100 square centimeters.

What is an area?

An area is the amount of space taken up by a 2D shape or surface. The area of a shape is the number of unit squares required to completely cover it.

For the given situation,

The diagram shows the rectangle. In rectangle, some region is shaded and some region is left. The unshaded region is in the shape of the right triangle.

The area of shaded region = Area of rectangle - Area of triangle

The dimension for rectangle,

Length = 10 cm

Width = 14

The formula of area of rectangle = (length)(width)

The dimension for triangle,

Base = 10 cm

Height = 14 - 6

⇒ Height = 8 cm

The formula of area of triangle = 1/2 (base)(height)

On substituting the above values,

Thus area of shaded region = [tex](10)(14)-\frac{1}{2} (10)(8)[/tex]

⇒ [tex]140-40[/tex]

⇒ [tex]100[/tex]

Hence we can conclude that the area of shaded region is 100 square centimeters.

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