An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you that the printing speed is actually a Normal random variable with a mean of 17.42 ppm and a standard deviation of 3.25 ppm. Suppose that you draw a random sample of 12 printers. Part i) Using the information about the distribution of the printing speeds given by the manufacturer, find the probability that the mean printing speed of the sample is greater than 18.12 ppm. (Please carry answers to at least six decimal places in intermediate steps. Give your final answer to the nearest three decimal places).

Answer:

c

Step-by-step explanation:

Answer:

133.7π cm^3 or approximately 418.77430072 cm^3.

Step-by-step explanation:

For the cylinder half, use the formula: π*r^2*h, or pi times radius squared times height.

Since the diameter is 8, which means the radius is 4, and the height is 6, the volume of the cylinder would be 96π or 301.59289474...

For the cone on top, use the formula 1/3 (π*r^2*h), or one third pi times radius squared times height. Don't forget to calcuate the part in parentheses before dividing it by three.

Because the overall height was 13, you can subtract the 6 from the cylinder to get the cone's height. It has a height of 7 and a radius of 4 just like the cylinder. The volume of the cone is 112π/3 or 37.3π.

Now add both volumes together to get 133.7π cm^3 or approximately 418.77430072 cm^3.

Answer:

y - 2/3 * 63 or y - 42

Step-by-step explanation:

two-thirds of the quantity 63: 2/3 * 63

two-thirds of the quantity 63 less than y: y - 2/3 * 63 = y - 42

Answer:

8.

10x-1=14x-37[corresponding side of congruent triangle are equal]

37-1=14x-10x

36=4x

x=36/4

x=9

9.

6x+13=16x-7[corresponding angle of congruent triangle are equal]

13+7=16x-6x

10x=20

x=20/10

x=2

10.

8x-27=4x+33

8x-4x=33+27

4x=60

x=60/4

x=15

PQ=8×15-27=93

11.3x+5=12x-13

13+5=12x-3x

9x=18

x=18/9=2

now

<BDC=12×2-13=11

12.

5x-8=9x-28

28-8=9x-5x

4x=20

x=20/4

x=5

now

<YWX=5x-8+9x-28=5×5-8+9×5-28=34

13..5x-4=2x+5

5x-2x=5+4

3x=9

x=9/3=3

now

ML=5×3-4=11

ML=11

Answer:

85

Step-by-step explanation:

Answer:x=20, y=22

Step-by-step explanation:

40/2=20

66/3=22

Answer:

A4

Step-by-step explanation:

Answer:

The proportion of borrowers who owe more than 54,000 is 0%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Researchers found that the average student loan balance per borrower is $23,300.

This means that [tex]\mu = 23300[/tex]

They also reported that about one-quarter of borrowers owe more than $28,000.

This means that the 1 subtracted by the p-value of Z is 0.25 when X = 28000, that is, when X = 28000, Z has a p-value of 0.75, so when X = 28000, Z = 0.675. We use this to find [tex]\sigma[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.675 = \frac{28000 - 23300}{\sigma}[/tex]

[tex]0.675\sigma = 4700[/tex]

[tex]\sigma = \frac{4700}{0.675}[/tex]

[tex]\sigma = 6963[/tex]

Estimate the proportion of borrowers who owe more than 54,000.

This is 1 subtracted by the p-value of Z when X = 54000. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{54000 - 23300}{6963}[/tex]

[tex]Z = 4.41[/tex]

[tex]Z = 4.41[/tex] has a p-value of 1

1 - 1 = 0

The proportion of borrowers who owe more than 54,000 is 0%.

Answer:

26.14

Step-by-step explanation:

For the triangles: 3*4=12

For the circle: 28.27/2=14.135

12+14.135=26.135

~26.14

Answer:

14ab

Step-by-step explanation:

p = 2l + 2w

p = 2(4ab) + 2(3ab)

p = 8ab + 6ab

p = 14ab

Answer:

angle VPQ = 83°

I hope this may be helpful

Answer:

216 ft is your answer

Step-by-step explanation:

10x5=50

6x5=30

6x8=48

6x8=48

8x5=40

Add all the sum, which would equal 216.

Hope this helps.

Answer:

n² + 3

this is the expression

Step-by-step explanation:

Answer:

$30507.14

Step-by-step explanation:

(8000)(1+.055)^25= 30507.138789 rounded to the nearest penny = $30507.14

Answer:

14 students

Step-by-step explanation:

Given

Let:

[tex]b \to[/tex] read a book

[tex]t \to[/tex] watched TV

So, we have:

[tex]n = 50[/tex] -- total

[tex]b = 16[/tex]

[tex]t = 41[/tex]

[tex]none = 7[/tex]

Required

Students that did both (x)

This is calculated using:

[tex]Total = Books\ only + TV\ only + Both + None[/tex]

So, we have:

[tex]n = (b - x) + (t - x) + x + none[/tex]

This gives:

[tex]50 = (16 - x) + (41 - x) + x + 7[/tex]

Open brackets

[tex]50 = 16 - x + 41 - x + x + 7[/tex]

[tex]50 = 16 - x + 41 +7[/tex]

Collect like terms

[tex]x = 16 - 50 + 41 +7[/tex]

[tex]x = 14[/tex]

Hence, 14 students did both

Answer:

C

Step-by-step explanation:

Take the coefficient of the linear term and divide it by 2

9/2

Then square it 81/4

That should either be added to the 11 or subtracted from the 15.

The answer is C

Answer:

10/24

Step-by-step explanation:

5/12 x 2 =?

5x2=10

12x2=24

so 10/24 is the correct answer.

Answer:

The answer to this equation is A.

Answer:

Option C

Step-by-step explanation:

Given :-

Options :

We can check the options , as ,

[tex]:\implies[/tex] Option 1 : 10

[tex]:\implies[/tex] Option C : 4

Hence option C is not a solution .

Answer:

[tex]Adam = 60[/tex]

[tex]Brandon = 66[/tex]

[tex]Chen = 74[/tex]

[tex]Damion = 75[/tex]

[tex]Erica = 75[/tex]

Step-by-step explanation:

Given

Represent each friend with the first letter of their name

So:

[tex]A + B + C =200[/tex]

[tex]B + C + D = 215[/tex]

[tex]C + D +E= 224[/tex]

[tex]A + B + C + D + E = 350[/tex]

[tex]D , E > C[/tex]

Substitute: [tex]A + B + C =200[/tex] in [tex]A + B + C + D + E = 350[/tex]

[tex]200 + D + E = 350[/tex]

Collect like terms

[tex]D + E = 350-200[/tex]

[tex]D + E = 150[/tex]

Make D + E the subject in [tex]C + D +E= 224[/tex]

[tex]D + E = 224 - C[/tex]

Substitute [tex]D + E = 224 - C[/tex] in [tex]D + E = 150[/tex]

[tex]224 - C = 150[/tex]

Collect like terms

[tex]C = 224 - 150[/tex]

[tex]C = 74[/tex]

Substitute [tex]C = 74[/tex] in [tex]A + B + C =200[/tex] and [tex]B + C + D = 215[/tex]

[tex]A + B + 74 = 200[/tex]

[tex]A + B =- 74 + 200[/tex]

[tex]A + B =126[/tex]

[tex]B + 74 + D = 215[/tex]

[tex]B + D = -74 + 215[/tex]

[tex]B + D = 141[/tex]

So, we have:

[tex]A + B =126[/tex]

[tex]B + D = 141[/tex]

[tex]D + E = 150[/tex]

We have: [tex]D , E > C[/tex]

i.e.

[tex]D , E > 74[/tex] and [tex]D + E = 150[/tex]

For [tex]D , E > 74[/tex] and [tex]D + E = 150[/tex] to be true,

[tex]D = E = 75[/tex]

i.e.

[tex]75 + 75 = 150[/tex]

So, we have:

[tex]D = 75[/tex]

[tex]E = 75[/tex]

[tex]B + D = 141[/tex]

[tex]B + 75 = 141[/tex]

[tex]B = 141 - 75[/tex]

[tex]B = 66[/tex]

[tex]A + B =126[/tex]

[tex]A + 66 = 126[/tex]

[tex]A = 126 - 66[/tex]

[tex]A = 60[/tex]

Answer:

B

Step-by-step explanation:

It is B because it is going up which is positive and the dots are closer to each other.

A and D is negative but strong

C is weak no correlation

Answer:

sin(x/2)

Step-by-step explanation:

If we have a function such that f(x) = 2arcsinx, then the inverse will occur when the domain and ranges switch... in order words, we can switch y and x and then solve for y in order to get the inverse function.

let f(x) = y

y = 2 arcsinx

x = 2arcsinf(1(x))

sin(x/2) = f1(x)

Answer:

240

I think I'm not sure but try

Answer:

C. 8

Step-by-step explanation:

Just took the test (edge)

Good luck soldiers

According to the line of best fit and using: B) extrapolation, Sean can estimate that the balance of his loan will reach $0 in a month B) 69.

Based on the information  extrapolation should be use since  x-coordinate will be higher than 12 (x, y) when y = $0.

Line of best fit equation:

y=-115.9x + 8,007.30.

Hence:

Let x represent the number of month

solving for x

0 = -115.9x + 8,007.30

115.9x = 8,007.30

x = 8,007.30/115.9

x = 69

Therefore according to the line of best fit and using: B) extrapolation, Sean can estimate that the balance of his loan will reach $0 in a month B) 69.

Learn more about Line of best fit here:https://brainly.com/question/16680803

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Answer:

x = 4

Step-by-step explanation:

If line A is parallel to line B, therefore,

9x + 4 = 5x + 20 (alternate interior angles theorem)

Solve for x. Collect like terms together

9x - 5x = -4 + 20

4x = 16

Divide both sides by 4

4x/4 = 16/4

x = 4

Therefore, the value of x that will make lime A parallel to line B is 4

Answer:

x = 3

Step-by-step explanation:

2x + 12 = 18

The variable is "x" and to find the value of x we must get rid of everything on the left side of the equation.

We can easily do this by using inverse operations

To get rid of the 12, we subtract 12, because in the expression its adding and the inverse of addition is subtraction.

But remember whatever we do to one side we have to do to the other, so we subtract 12 from each side

12 - 12 cancels out

18 - 12 = 6

we now have 2x = 6

now we want to get rid of the 2

2x is the same as 2 times x which is multiplication

The inverse of multiplication is division, so to get rid of the 2 we divide each side by 2

2x / 2 = x

6 / 2 = 3

we're left with x = 3

Answer:

C. (-0.26, -0.97)

Step-by-step explanation:

I calculated it logically