A student believes that a certain number cube is unfair and is more likely to land with a six facing up. The student rolls the number cube 45 times and the cube lands with a six facing up 12 times. Assuming the conditions for inference have been met, what is the 99% confidence interval for the true proportion of times the number cube would land with a six facing up?

0.27 plus-or-minus 2.58 StartRoot StartFraction 0.27 (1 minus 0.27) Over 45 EndFraction EndRoot
0.73 plus-or-minus 2.33 StartRoot StartFraction 0.73 (1 minus 0.73) Over 45 EndFraction EndRoot
0.27 plus-or-minus 2.33 StartRoot StartFraction 0.27 (1 minus 0.27) Over 45 EndFraction EndRoot
0.73 plus-or-minus 2.58 StartRoot StartFraction 0.73 (1 minus 0.73) Over 45 EndFraction EndRoot

Answers

Answer 1

Answer: Option #1

Step-by-step explanation:

99 % confidence level - so it has to be 2.58 not 2.33 ( thats 98% confidence level )

then 12times facing u out of 45 times .... 12/45= .27

Option #1 :  0.27 +/- 2.58 StartRoot StartFraction 0.27 (1 minus 0.27) Over 45 EndFraction EndRoot

Answer 2

The 99% confidence interval for the true proportion of times the number cube would land with a six facing up is 0.27 plus-or-minus 2.58 StartRoot StartFraction 0.27 (1 minus 0.27) Over 45 EndFraction EndRoot.

What is Confidence Interval?

This is an operation which is used to measure probability that a parameter will fall between a pair of values around the mean

99 % confidence level is closer to 2.58 and 12 times facing up out of 45 times which is 12/45= .27

Hence the reason why option  A was chosen as the most appropriate choice.


Related Questions

A waiter determines his salary for a week using the formula S = 3.75h + t, where S is his salary, h is the number of hours he works, and t is his total tips. How much does the waiter make if he works 30 hours in a week and makes a total of $538.75 in tips?

Answers

Answer:

$651.25

Step-by-step explanation:

plug your variables into your equation so,

S= 3.75(30)+ 538.75

and solve

S=112.5+538.75

S=651.25

Answer:

$651.25

Step-by-step explanation:

S = 3.75h + t

Given:

h = 30

t = 538.75

Work:

S = 3.75h + t

S = 3.75(30) + 538.75

S = 112.5 + 538.75

S = 651.25

PLSSS HELPPPPP

On the following number line, point C represents the integer -1. Identify the integer that each of the other letters represent.



A:

B:

D:

E:

Answers

Answer:  B is 0  A is 1 D 2 E 3

Step-by-step explanation:

Answer:

a: 1

b: 0

d:2

e:3

Step-by-step explanation:

Since you already know that C is -1, you can add or subtract along the numberline by ones to get the values of each letter

Solve the following system of equations using Desmos.....x-3y=-2 and x+3y=16

Answers

Answer:

(7, 3 )

Step-by-step explanation:

Given the 2 equations

x - 3y = - 2 → (1)

x + 3y = 16 → (2)

Adding (1) and (2) term by term will eliminate the y- term

2x + 0 = 14

2x = 14 ( divide both sides by 2 )

x = 7

Substitute x = 7 into either of the 2 equations and solve for y

Substituting into (2)

7 + 3y = 16 ( subtract 7 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

solution is (7, 3 )

on parallelogram ABCD below, if A (4,1), B (8, 5), C(6, -3) and D(2, -3). what are the coordinates of point E

Answers

The best answer to go with is b you’re welcome my guy

PLEASE HELP THIS IS MATHHHHH

Answers

what inequality??????

Lisa can mow the lawn in 3 hours. If Rhianna helps her with another mower, the lawn can be mowed in 2 hours. How long would it take Rhianna if she worked alone? PLEAsE HELPPPP

Answers

Answer:

5 hours or 300 mins

Step-by-step explanation:

If the point M(2,2) is reflected over the y axis, what will be the coordinates of the resulting point, M’?

Answers

Answer:

-8,5

Step-by-step explanation:

8,5 because the "m" is 5 squares down and 8 squares to the right.

someone please help ​

Answers

Answer:

B

Step-by-step explanation:

Hi,

Your slope is in front of the x and your y-intercept is what's being added or subtracted. In this case, 4x is your slope, and +1 is your y-intercept which means that B is correct.

I hope this helps :)

18 x 1/6 simplify if can thank u

Answers

Answer:

3

Step-by-step explanation:

[tex]18*\frac{1}{6} \\\\3[/tex]

Answer:

=3x

Step-by-step explanation:

18x^1 / 6

=3x

Which of the following best describes the vertical cross-section of the cylinder ?

A.
cone
B.
rectangle
C.
triangle
D.
circle

Answers

The answer would be d

The shape that best describes the vertical cross-section of the cylinder is given by: Option B: Rectangle.

What is a vertical cross section?

When you slice a given object vertically (perpendicular to the ground level), then the sliced surface is called vertical cross section.

For a cylinder, usually it sits on its base and we take a right circular cylinder. When we slice it vertically, we obtain a rectangle, as shown in the figure attached below.

It can be proven that this shape is always going to be rectangular.

Thus, the shape that best describes the vertical cross-section of the cylinder is given by: Option B: Rectangle.

Learn more about vertical cross section here:

https://brainly.com/question/16775837

What is the slide e of the line shown below?

Answers

Answer:

13/6

Step-by-step explanation:

slope = (y2-y1)/(x2-x1) where the variables indicate the coordinates of the two points

slope = (-7-6)/(-5-1) = -13/-6 = 13/6

The number of bus riders was recorded on one route. The data have these values: minimum = 18, lower quartile = 22,
median = 26, upper quartile = 29, and maximum = 37.
Which box plot represents the data?
15 16 17 18
19 20 21 22 23 24 25 26 27 28 29 30 31
31 32 33 34 35 36
15 16 17 18
19 20 21
22
20
24
25
26
27
20
20
20
31
32
33 34 35
15 16 17 18 19 20 21
18 19 20 21 22 23 24 25 26 27
25 26 27 28 29 30 31 32 33 34
32 33 34 35 36 37
O
20
15 16 17 18
21 22 23 24 25
26 27
20
29
35
33 34

Answers

Answer:

The answer is B

Step-by-step explanation:

I took the test

The box plot that represents the number of bus drivers with the given five-number summary is: option B (see image attached below).

How to Graph A Box Plot?

A box plot is graphed to indicate the five-number summary as:

Minimum is represented by the value at the extreme end of the left whiskerLower quartile is at the beginning of the edge of the rectangular boxMedian is at the vertical line dividing the boxUpper quartile is at the end of the edge of the rectangular boxMaximum is represented by the value at the extreme end of the right whisker.

Given the five-number summary of the number of bus riders as: minimum = 18, lower quartile = 22, median = 26, upper quartile = 29, and maximum = 37, the box plot that represents the data is: Option B (see image attached below.

Learn more about box plot on:

https://brainly.com/question/14277132

#SPJ5

What is the measure of ∠DBE?

Answers

Answer:

63 degree

Step-by-step explanation:

A child toy is made by removing a triangular prism from the center of a wooden rectangular prism The triangular base of the triangular prism has a base length of 1 inch and a height of 1 inch. Write and solve an equation to find the volume of the toy.

Answers

*see attachment for the diagram given

Answer:

Volume of the toy = 68 in.³

Step-by-step explanation:

The equation to find the volume of the toy = volume of the wooden rectangular prism - volume of the triangular prism removed form the center

Volume of the toy = (L*W*H) - (½*bhl)

Where,

L = 8 inches

W = 3 inches

H = 3 inches

b = 1 inch

h = 1 inch

l = 8 inches

Plug in the values into the equation

Volume of the toy = (8*3*3) - (½*1*1*8)

Volume = 72 - 4

Volume of the toy = 68 in.³

anyone know the answers to 3, 4, 5 and six

Answers

3) would be D ! , 4) would be letter J , & 5) would be letter C ! Hope it helps !!!

Which expression is equivalent to the series
shown?
125
Σ 45η
n=17

Answers

Answer:

its c ^u^ and the next to it is b :D

Step-by-step explanation:

edg 21

Answer:

It’s c and the next one is b

Step-by-step explanation:

Just took edge

Find the slope of the line

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

Slope = -6

Step-by-step explanation:

Which pairs of polygons are congruent? A. pairs 1, 2, 3, and 4 B. pairs 1 and 4 C. pairs 1, 2, and 3 D. pairs 2 and 4

Answers

D. Pair 2 and 4

Pair 2 are the same size and shape
Pair 4 are same size and shape
Pair 1 is different size different shape
Pair 3 is different size same shape

Two angles are supplementary. One angle measures 132 degrees. Find the measure of the other angle.

Answers

Answer:

48 degrees

Step-by-step explanation:

Supplementary angles add up to 180 degrees.

If one angle is 132 degrees, the other must be 48 degrees.

Lucy was born on 08/05/1999. How many eight digit codes could she make using the digits in her birthday

Answers

Answer:

3,360 different codes.

Step-by-step explanation:

Here we have a set of 8 numbers:

{0, 0, 1, 5, 8, 9, 9, 9}

Now we want to make an 8th digit code with those numbers (each number can be used only once)

Now let's count the number of options for each digit in the code.

For the first digit, we will have 8 options

For the second digit, we will have 7 options (because one was already taken)

For the third digit, we will have 6 options (because two were already taken)

you already can see the pattern here:

For the fourth digit, we will have 5 options

For the fifth digit, we will have 4 options

For the sixth digit, we will have 3 options

For the seventh digit, we will have 2 options

For the eighth digit, we will have 1 option.

The total number of codes will be equal to the product between the numbers of options for each digit, then we have that the total number of codes is:

N = 8*7*6*5*4*3*2*1 = 8!

But wait, you can see that the 9 is repeated 3 times (then we have 3*2*1 = 3! permutations for the nines), and the 0 is repeated two times (then we have 2*1 = 2! permutations for the zeros).

Then we need to divide the number of different codes that we found above by 3! and 2!.

We get that the total number of different codes is:

C = [tex]\frac{8!}{2!*3!} = \frac{8*7*6*5*4}{2} = 8*7*6*5*2 = 3,360[/tex]

3,360 different codes.

The number of eight digit code she can make is, 3360.

If any number have n digits, then number of ways it can be arranged = [tex]n![/tex]

Given that,  Born date is,  08/05/1999

Total number of digits in birth date =  8

So, number of ways it can be arranged = [tex]8![/tex]

Since, In birth date 9 is three times and 0 is two times.

Therefore, number of arrangements = [tex]\frac{8!}{3!*2!}=3360[/tex]

Therefore, she can make 3360 eight digit codes from given birth date.

Learn more:

https://brainly.com/question/24115376

He got a job selling cell phone services. He will be compensated $20 each hour he
works. He also gets a job at a competing cell phone store. His deal is that he will earn
$10 each hour, BUT he will start off with a bonus of $50 at the start of each day.
1) create equations for each man's compensation

2) After how many hours will they earn the same amount?
3) in an 8 hour day, who will earn more? How much more

Answers

Answer:

I think you should go with 3

What is the greatest common factor of the numbers
15,30 , and 75 ?

Answers

Answer:

15

Step-by-step explanation:

Prime Numbers Check

15: 5 * 3

30: 2 * 3 * 5

75: 3 * 5 * 5

Both 3 and 5 are prime numbers present in all 3 greater numbers, then you multiply them

3*5 = 15

GCF is 15

PLEASE HELP ME!!!! In each diagram AB is tangent to C at B. Find the value of x.​

Answers

Answer is 9

Step by step explanation
As CB is radius CB=3, CA=3+7=10
X^2=(7+3)^2-3^2=100-9=81
X=9

which is the other end point of a line segment with one end point at (-2, -5) and midpoint at (3,2)

Answers

Answer:

(8,9)

Step-by-step explanation:

<|--------------------|--------------------------|>

(-2,-5)               (3,2)

-2-3 = -5 = | -5 | = 5

-5-2=-7 = | -7 | = 7

3+5=8

2+7=9

(8,9)

no i dont want to download ur answer.

the area is ___ square units​

Answers

Answer: I think it’s 4

Step-by-step explanation: count the squares surrounding the triangle, 4 times 2 is eight 1/2 of that is 4

If f(x) = x is changed to g(x) = -f(x + 3) + 2, how is the graph transformed?

Answers

Answer:

f(x) is flipped, and each point is moved 3 units to the left and 2 units up

Step-by-step explanation:


HELPPP!!
Find the value of x in the parallelogram!

Answers

Answer:

x = 17

Step-by-step explanation:

Area of a parallelogram:

A = bh

Given:

A = 153

b = 9

Work:

A = bh

h = A/b

h = 153/9

h = 17

What is the simplified form of the following expression? Assume x>0. 4 square root 3 over 2x

Answers

Answer:

the answer is B)

4√24x^3/2x

Solution:

The answer is B

Step-by-step explanation:

I just took the test.

can someone please help me find the slope on khan academy? and please provide an explanation if possible

Answers

Answer: 7/4

Step-by-step explanation: To find the slope of a line, pick any two integer points, in this scenario the only two are (3,4) and (-1,-3). The slope is the rise over run, so think about it. To get from (-1,-3) to )3,4) you need to rise 7 units (difference in y coordinates) and from there you need to run 4 units, so it is 7/4. Keep in mind that rising up is positive for y and running to the right is positive for x.

Answer:

[tex]\frac{7}{4}x[/tex]

Step-by-step explanation:

How do you find slope on a graph? The slope is "rise/run" where "rise" is how much y spaces are moved to the next point and "run" is the how much spaces are moved to the next x point.

Step One: In this case, the point moves up 7 spaces to the next point, so that's the "rise" and then it moves 4 spaces to the right to the next point, so that's the "run"

Step Two: When we put it together, it is 7/4x. The x is just an indication that this is slope, and you don't have to worry about it until you learn how to plug it in.

Find b given that A (-6, 2), B (b, 0), and C (3,-4) are collinear.

Answers

Answer:

b = -3.

Step-by-step explanation:

If the 3 points are collinear then:

Slope of AB = Slope  of BC and so

(0-2)/(b + 6) = (-4-0)/( 3 - b)

-4(b + 6) = -2(3 - b)

-4b - 24 = -6 + 2b

-24 + 6 = 2b + 4b

6b = -18

b = -3.

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