A fit is rolled 25 times and 12 evens are observed. Calculate and interpret a 95% confidence interval to estimate the true proportion of evens rolled on a die.

Answers

Answer 1

Answer:

95% confidence interval to estimate the true proportion of evens rolled on a die.

(0.197368 , 0.762632)

Step-by-step explanation:

Explanation:-

Given A fit is rolled 25 times and 12 evens are observed

proportion    [tex]p = \frac{x}{n} = \frac{12}{25} = 0.48[/tex]

               q = 1 - p = 1- 0.48 = 0.52

Level of significance =0.05

[tex]Z_{0.05} = 1.96[/tex]

95% confidence interval to estimate the true proportion of evens rolled on a die.

[tex](p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} } )[/tex]

[tex](0.48 - 1.96 \sqrt{\frac{0.48(1-0.48)}{12} } , 0.48 + 1.96 \sqrt{\frac{0.48(1-0.48)}{12} } )[/tex]

( 0.48 - 1.96 (0.1442 , 0.48 + 1.96(0.1442)

( 0.48 - 0.282632 , 0.48 + 0.282632)

(0.197368 , 0.762632)

Final answer:-

95% confidence interval to estimate the true proportion of evens rolled on a die.

(0.197368 , 0.762632)


Related Questions

What is the sum of (-10)+(-7)=

Answers

Answer:

-17

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

[tex](-10)+(-7)= - 10 - 7 = - 17[/tex]

Daniel began filling an empty swimming pool at 8:30 a.M. After 5 hours, the pool contained 230 gallons of water. If the water input contained at a constant rate, how many more hours are needed to completely fill the 920-gallon pooo?

Answers

It will take 20 hours to completely fill the pull with 920 gallons of water. Because they are asking HOW MANY MORE it would take 15 more hours. How I got to that answer: Divide five from 230. You’ll end up getting 46 which means the pull is being filled up 46 gallons per hour. Now you’re going to want to divide 46 from 920. That’s when you’ll get 20.

It will take 20 hours to fill the 920-gallon water in the pool if Daniel began filling an empty swimming pool at 8:30 a.M. After 5 hours, the pool contained 230 gallons of water.

What is a fraction?

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

After 5 hours the pool filled with 230 gallons

Let's suppose that after x hours the pool will fill with 920 gallons

After x hours the pool filled with 920 gallons.

As the water input contained at a constant rate

So the value of x can be evaluated:

[tex]\rm x = \frac{920\times5}{230}[/tex]

x = 20 hours

Thus, it will take 20 hours to fill the 920-gallon water in the pool if Daniel began filling an empty swimming pool at 8:30 a.M. After 5 hours, the pool contained 230 gallons of water.

Learn more about the fraction here:

brainly.com/question/1301963

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Anthony downloaded 8 total items onto his phone. The games he purchased were $2.00 each and songs were $1.00. How many of each did he buy after spending $11.00?

Answers

Anthont downloaded 4 games and 4 songs

conclude the data below:
(Harvard is the top one)
( Cornell is the lowest one)

select all that apply.
a. Harvard has a smaller IQ when compared with Cornell.
b. should choose Harvard cuz earn more than Cornell.
c. should choose Cornell cuz it’s higher.
d. a higher percent from Cornell earn more.
e. harvard has the higher range.

Answers

Answer:

b and e I think. would be helpful to have more info

Step-by-step explanation:


An atom of a certain element has 37 protons, 37 electrons, and a mass number of 85. How many neutrons are
in this atom?

Answers

Answer:

There will be 48 neutrons.

Step-by-step explanation:

Hope this helps and have a great day :)

There will be 48 neutrons in this atom.

What is mass number?

The mass number of an element is the number obtained when the number of protons and neutrons in the nucleus of an atom of the element are summed together.

The addition of protons and neutrons in the nucleus of an atom is collectively known as the nucleon. Thus, the mass number of an atom can also be referred to as the nucleon of the atom.

This can be mathematically expressed as follows;

Mass number = number of protons + number of neutrons.

We are given that atom of a certain element has 37 protons, 37 electrons, and a mass number of 85.

So,

Mass number = number of protons + number of neutrons.

85 = 37 + n

n = 85 - 37

n = 48

More on mass number can be found here: brainly.com/question/4408975

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i am in middle school

Answers

Answer:

1.25 per pound

Step-by-step explanation:

Use a graphing calculator or other technology to answer the question.

Which quadratic regression equation best fits the data set?




yˆ=1.87x2+5.16x+10.54

yˆ=1.87x2+5.16x

yˆ=1.87x2−5.16x+10.54

yˆ=−1.87x2+5.16x
x y
1 5.9
2 8.9
3 13.4
4 20.1
5 30.1
6 45.1
7 67.7

Answers

9514 1404 393

Answer:

   (c)  y = 1.87x^2 -5.16x +10.54

Step-by-step explanation:

The attached graphing calculator output shows the best choice is the third one.

__

Additional comment

The best fit is offered by a function of degree about 3.7. Even a cubic offers much better fit than this quadratic.

Answer:

yˆ=1.87x^2−5.16x+10.54 is correct for all future users

Step-by-step explanation:

For each graph below, state whether it represents a function.

Answers

Answer:

Graph 1, 2, 5, 6 are not functions.

Graph 3, 4 are functions

Step-by-step explanation:

For every input there can only be one output to be a function.

Of the given graphs, only graph[3] and graph[4] represent functions.

What is a function?

A function is a relation between a independent variable and a dependent variable such that the value of dependent variable depends upon the independent one. It is denoted by f(x).

Given are the graphs plotted for different expressions.

Now, for a given expression to be a function, it should have a single unique value of variable [y] in coordination with that of [x]. Of all the graphs given, only the continuous graph[3] and discrete graph[4] have unique or only one unique value of [y] for a value of [x]. So, only graph[3] and graph[4] represent functions.

Therefore, of the given graphs, only graph[3] and graph[4] represent functions.

To solve more questions on functions, visit the link below-

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Simplify 2(x + 6) - 8

Answers

Answer:

2x+4

Step-by-step explanation:

please give me a brainliest!!

Answer:

2x + 4

Step-by-step explanation:

2(x + 6) - 8

Distribute

2(x) = 2x

2(6) = 12

2x + 12 - 8

Subtract 12 - 8

12 - 8 = 4

So 2x + 3 is your final answer.

Marie works in a garment factory that makes shirts. Marie’s job is sewing in sleeves. Marie receives .55 for each pair of sleeves she completes. During this pay period, she completed 1, 632 pairs of sleeves. What were Marie’s gross earnings?

Answers

Answer:

879.6

Step-by-step explanation:

I had a similar question that I solved which helped me here.

Which table represents a linear function?

Answers

Answer:

the second one

Step-by-step explanation:

The table that represents a linear function is the first one, where the values of y are obtained by multiplying the corresponding values of x by a constant factor of 5.

The first table:

x: 1,2,3,4,5

y: 5,20,45,80,125

In this table, the values of y are obtained by multiplying the corresponding values of x by a constant factor of 5.

The relationship between x and y is consistent and can be expressed by the equation y = 5x, which is a linear function.

The second table:

x: 1,2,3,4,5

y: 5,25,125,625,3125

In this table, the values of y are obtained by raising the corresponding values of x to increasing powers of 5.

The relationship between x and y is not consistent and cannot be expressed by a linear function.

Learn more about the Linear functions here:

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Heyy please answer pleaseeeeee help me

Answers

Answer:

no solution

Step-by-step explanation:

=
Solving a word problem with two unknowns using a linear...
A washer and a dryer cost $801 combined. The washer costs $51 more than the dryer. What is the cost of the dryer?

Answers

801 = x + 51 + x
801 = 2x + 51
750 = 2x
750/ 2 = 375
The dryer costs $375
375 + 51 = 426 ( washer costs )

A salesperson at a jewelry store earns 9% commission each week. Last week, Heidi sold $640 worth of jewelry. How much did she make in commission? How much did the jewelry store make from her sales?

Answers

Answer:19.2

Step-by-step explanation:

Linear or nonlinear

Answers

Answer:

Linear

Step-by-step explanation:

Linear is a straight graph

Answer:

Linear

Step-by-step explanation:

The easiest way to recognize this from a graph is that its a straight line. If not then its non linear. If you aren't given a graph to go off of another way is to see if it has a constant rate of change, if it does its linear.

A perfect score in the game is 300 points You get a perfect score if you knock down 120 pins
Find what percent 120 is of 300 then express the percent oa a decimal

Answers

I have that as well I have no idea

Greg needs to buy plastic forks. Brand A has a box of 25 forks for $1.97. Brand B has a box of 48 forks for $2.98
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.

Round your answers to the nearest cent.

Answers

Answer:

To find the price per spoon of brand A, divide the cost by the amount of spoons:

1.99 / 25 = 0.0796

Repeat this process for brand B:

3.89 / 42 = 0.0926

Brand A, at $0.08 a unit, is the better buy of brands A and B.

Hope this helps.

can someone help pleaseee its due soon

Answers

Answer:

10

Step-by-step explanation:

HELP PLEASE I ONLY HAVE 10 MINUTES LEFT I WILL MARK BRAINLIEST ANSWER
Which equation results from adding the equations in this system?
11x-3y=-17
-4x+3y=-18
A -7x= -35
B -7x= 35
C 7x= -35
D 7x= 35​

Answers

adding 11x and -4x makes it 7x

adding-3y and 3y cancels it out so your left with nothing

adding a negative and a negative keeps it a negative so its 18+17 making it -35

so the answer is C

How can a trend line be used to make a predictions?

Answers

Answer:

When a linear association is shown by a scatter plot, we can use a line to model the relationship between the variables. A trend line is a straight line that comes closest to the points on a scatter plot. We can use the trend line to make predictions.

Step-by-step explanation:

Answer:

A trend line can be used to make predictions because it shows the direction of interest. If the trend was how many people used yt in 2020, the trend line would be positive and it shows that more people are interested in yt. This would make the people who work at yt want to make it better, and people at other companies want to try and do something like yt, or something better.

Simplify (4x-1)+(-6x+3)

Answers

Answer:

2x-4

Step-by-step explanation:

Combine like terms to get your awnser

Step-by-step explanation:

Ur wlcm!

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Solve the problem
-4p - 4p

Answers

[tex]\bold{Hey\ there!}[/tex]

[tex]\bold{-4p - 4p = \ ?}\\\ \bold{-4 - 4 = -8}\\\bold{-p - p = -p}\\\bold{-4p - 4p=\underline{-8p}}\\\boxed{\boxed{\bold{Answer: -8p}}}\checkmark[/tex]

[tex]\text{\bold{Good luck on your assignment and enjoy your day!}}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

it's -8p

Step-by-step explanation:

Pls don't delete my question its annoying

Nina is selling three types of energy bars at a market stall. She bought 50 Enerbars at 30p per bar and 150 Grainbars at 50p per bar from her normal supplier. She was also given 50 Amazebars as a promotion from a new supplier. Nina sells the bars for £2.20 and manages to sell all the Enerbars and Grainbars but only some Amazebars. She makes a profit of £402.80. How many Amazebars did she sell?

Answers

Answer:

24

Step-by-step explanation:

Given that:

Cost of each Enerbar = 30p

Number of Enerbars = 50

Cost of each grain bar = 50p

Number of grain bars = 150

Number of Amazebars = 50

Cost of each Amazebar = 0p (Because it was given as promotion)

Sales price of each bar = £2.20

Total profit earned = £402.80

All other bars were sold but Amazebars.

To find:

How many Amazebars were sold?

Solution:

First of all, let us have a look at the profit earned by selling each type of bar.

Profit is nothing but the difference between sales price and cost price.

Profit at selling each Enerbar = £2.20 - 30p = £1.90

Profit at selling 50 Enerbars = £1.90 [tex]\times[/tex] 50 = £95

Profit at selling each grain bar = £2.20 - 50p = £1.70

Profit at selling 50 grain bars = £1.70 [tex]\times[/tex] 150 = £255

Profit by selling Enerbars and grain bars = £95 + £255 = £350

Profit by Amazebars = £402.80 - £350 = £52.8

Number of Amazebars sold = Profit by Amazebars divided by Profit by selling one Amazebar

[tex]\Rightarrow \dfrac{\£52.80}{\£2.2}\\\Rightarrow \bold{24}[/tex]

Yo ill give 40 points to whoever answers this

(2,8)
(4,2,)
(6,-4)
(9,-13)
Find the slope.

Answers

Answer:

-3

Step-by-step explanation:

The slope can be defined as the change in y over the change in x

we can break this down even more by doing the y of the second point minus the y of the first point over x of the second point minus the y of the first point

so [tex]\frac{2-8}{4-2}[/tex] = [tex]\frac{-6}{2}[/tex] = -3 so the slope is -3

we can check this by graphing it and we will see that we get y= -3x+14 for an equation that runs through all the points.

7x-3x=
what is x =
x=

Answers

Answer:

4x

Step-by-step explanation:

Please help me I need ASAP

Answers

Answer:

(3)

Step-by-step explanation:

Dividing both sides by Pt, we get option (3).

What is the volume of the rectangular prism? Type the answer in the boxes below. Icm cm? ​

Answers

Answer:

3 3/4 cm ^3

Step-by-step explanation:

The length is 2.5 the width is 1 and the height is 1.5  so 2.5x1x1.5

Hope it helps!

A salesclerk gets gets 7% commission on the sale of each computer. What is her commission on the sale of a computer that sells for $495.00?

Answers

Answer:

$34.65

Step-by-step explanation:

What would be the awnsers

Answers

Answer:

I think the answer is

x=4

y=6

Step-by-step explanation:

A line passes through the points (6, 8) and (5,5). What is its equation in slope-intercept
form?

Answers

Answer:

y = 3x -10

Step-by-step explanation:

Use the method [tex]\frac{rise}{run}[/tex].

I took a screenshot of the graph below, as an example of the rise over run method.

3 ÷ 1 = 3

To find the y intercept, count down on the graph until you reach the point where the line crosses.

In this case, the line crossed at -10 on the y-axis.

(Look at the second image)

So plug the numbers into the equation, and then you get y = 3x -10.

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