Hazel works at The Last Page Booksellers. Her total earnings were $24,000 last year. Hazel
paid $157 in payroll taxes for every $1,000 she earned.
What was Hazel's net income for last year?

a) The cumulative distribution function F of X is: F(x) = P(X ≤ x) = 1

b) The mean E(X) is: E(X) = 0.5 hours.

c) The variance Var(X) is: the variance of X is approximately 0.0833 hours².

To find the cumulative distribution function (CDF) of X, we need to consider two cases: when the boy comes back inside before 45 minutes and when the boy is brought inside by his mother after 45 minutes.

(a) Cumulative Distribution Function (CDF) F of X:

For 0 ≤ x < 0.75 (when the boy comes back inside before 45 minutes):

Since the boy comes back inside uniformly distributed on the interval [0, 1], the CDF is simply the probability that the boy comes back inside before time x.

The probability of the boy coming back inside before x is equal to x, as it is a uniform distribution.

F(x) = P(X ≤ x) = x

For 0.75 ≤ x ≤ 1 (when the mother brings the boy inside after 45 minutes):

If the boy is not back inside at 45 minutes (0.75 hours), his mother brings him inside.

Therefore, the probability of the boy coming back inside before x in this case is 1.

F(x) = P(X ≤ x) = 1

(b) Mean (Expected Value) E(X):

The expected value of X, denoted by E(X), is the average time the boy spends outside before coming back inside.

For a uniform distribution on the interval [0, 1], the expected value is the midpoint of the interval.

Therefore, E(X) = (1 + 0) / 2 = 0.5 hours.

(c) Variance Var(X):

The variance of X, denoted by Var(X), measures the spread or variability of the random variable X around its mean.

For a uniform distribution on the interval [0, 1], the variance is given by:

Var(X) = (1² - 0²) / 12 = 1 / 12 ≈ 0.0833 hours²

So, the variance of X is approximately 0.0833 hours².

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Answer:

Kindly check explanation

Step-by-step explanation:

Verbal:

Score, x = 560

Mean, m = 460

Standard deviation, s = 132

Quantitative :

Score, x = 740

Mean, m = 452

Standard deviation, s = 140

a)

Verbal :

X ~ N(460, 132)

Quantitative :

X ~ N(452, 140)

(b)

What is her Z score on the Verbal Reasoning section? On the Quantitative Reasoning section? Draw a standard normal distribution curve and mark these two Z scores.

Zscore = (x - m) / s

Verbal :

Zscore = (560 - 460) / 132 = 0.758

Quantitative :

Zscore = (740 - 452) /140 = 2.057

(c.)

He has a higher standardized score in the quantitative than the verbal score.

(d.)

The Zscore shows that he performed better in the quantitative reasoning than verbal.

(e) Find her percentile scores for the two exams.

(f) What percent of the test takers did better than her on the Verbal Reasoning section? On the Quantitative Reasoning section?

Verbal :

Score greater than 560

P(x > 560) :

Z = (560 - 460) / 132 = 0.758

P(Z > 0.758) = 0.22423 = 22.4%

Quantitative :

Score greater than 740

P(x > 740) :

Z = (740 - 452) / 140 = 2.057

P(Z > 0.758) = 0.0198 = 1.98%

Answer:

50

Step-by-step explanation:

please brainalist

Answer:

x= 60

Step-by-step explanation:

brr 180 degrees total, divided by 3x would be 60

so X=60

Answer:

f(x) = 2x^3 - 6x^2 - 20x + 48

Step-by-step explanation:

A polynomial with zeros a, b, c, etc., is the product of (x - a)(x - b)(x - c)...

f(x) = (x + 3)(x - 2)(x - 4)

f(x) = (x^2 + x - 6)(x - 4)

f(x) = x^3 - 4x^2 + x^2 - 4x - 6x + 24

f(x) = x^3 - 3x^2 - 10x + 24

This polynomial function has the zeros listed in the problem.

Now we need to make sure it includes the point (6, 144).

f(x) = (x + 3)(x - 2)(x - 4)

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

f(6) = 9 * 4 * 2

f(6) = 72

The polynomial function has point (6, 72). We want it to include the point (6, 144). We multiply the function by 2.

f(x) = 2(x^3 - 3x^2 - 10x + 24)

f(x) = 2x^3 - 6x^2 - 20x + 48

Answer:

4.9

Step-by-step explanation:

100% of 2.45 is 2.45.

We add 2.45 + 2.45 which is 4.9.

Can I get brainliest?

Answer:

19.60

Step-by-step explanation:

Answer:

[tex] - \frac{45}{4} [/tex]

Answer:

y=-2/3x-1/3

Step-by-step explanation:

Plug in the point (-5,3)

3=-2/3(-5)+k

3=3.3333+k

k (y-intercept)=-0.33333, or -1/3

Answer:

So.

The correct is (C, D, E and F)

And (A and B) isn't correct

Step-by-step explanation:

I hope that is useful for you :)

Answer:

430/ 7

Step-by-step explanation:

yess this is the correct answer

Answer: 119 and -119

Step-by-step explanation: The absolute value of a number is its distance from 0.

Answer:

119 and -119

Step-by-step explanation:

the value of a positive number inside the absolute values, signs doesn't change the value but if a negative number is put inside the absolute values, the signs change to be positive.

Hope that helps :)

Answer:

p=10

Step-by-step explanation:

3p+10+5p=90

8p+10=90

8p=80

p=10

Answer:

p = 5

Step-by-step explanation:

Th angles are complimentary, meaning that they equal 90° if put together.  This mean that you can set them equal to eachother.  

3p + 10 = 5p  

Subtract 3p from both sides.

10 = 2p

Divide both sides by 2.  

p = 5  

You can check you work by plugging in 5 for p.  

3(5) + 10 = 5(5)

15 + 10 = 25

25 = 25

Therefore, p = 5.  

Sorry if I'm wrong, but I hoped this helped.  Have a great day/night!  

Answer:

The answer to this would be B.

Step-by-step explanation:

When finding the volume of a three-dimensional object you want to use the formula, (Length) x (Height) x (Width) = (Volume)

In this case, 6 cm is your height

3 cm is your length,

and 2 3/4 cm is your width.

When you plug in those numbers, the only equation that matches is B. 6x3x2 3/4.

Hope this helped!

Answer:

20

Step-by-step explanation:

A coefficient is the number that is attached to the variable.

In this case, the number attached to the variable is 20.

Therefore, the coefficient is 20

hope this helps :)

Answer:

42−{(7+14)÷7}×4

42 - {21 ÷ 7} x 4

42 - 3 x 4

42 - 12

30

Step-by-step explanation:

Answer:

I am not sure honestly, but I think you should

Step-by-step explanation:

add 2,200 and 3,000 then see your answer, and divide it by 125. I'm sorry if this doesn't help......

If the rainfall was recorded on 36 (instead of 9) randomly selected days throughout the year, the standard error of the mean would be equal to 0.195 inches.

The standard error measures the variability or uncertainty in an estimate or statistic based on a sample. It is often denoted as SE or SE(θ), where θ represents a population parameter of interest.

Given that

the standard error of the mean, SE = 0.39 (when sample size,n = 9).

Let s be the standard deviation around the mean, then

Since SE = [tex]\dfrac{s}{\sqrt n}[/tex]

In this sample,

0.39 = [tex]\dfrac{s}{\sqrt9}[/tex]

s = 0.39 × 3

s = 1.17.

If the sample size is increased from 9 to 36,

SE = [tex]\dfrac{1.17}{\sqrt36}[/tex]

SE = [tex]\frac{1.17}{6}[/tex]

SE = 0.195 inches.

Thus, the standard error of the mean changes from 0.39 inches to 0.195 inches.

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4m = 12x + 40

8x + 8x + 12x + 40 + 4m = 360

28x + 40 + 12x + 40 = 360

x = 7

m = 12(7) + 40 = 124

Answer:

[tex] \frac{11}{8} [/tex]

Step-by-step explanation:

[tex] \frac{1 \times 8 + 3}{8} [/tex]

Answer:

11/8

Step-by-step explanation:

Geometric sequence

-5 each term is multiplied by -5

Answer:

A=6

B=19

C=55

D=119

E=70

Answer:

Blank A = 6

Blank B = 19

Blank C = 55

Blank D = 119

Blank E = 70

Answer:

2x=3

W+1.3=2.7

3y=5.1

z+1/3=1/2

Step-by-step explanation:

You just add up all on the left to equate that on the right

2x=3

W+1.3=2.7

3y=5.1

z+1/3=1/2

In case you have to solve:

x=3/2

W=2.4

y=1.7

z=1/6

Answer:

82 .

Step-by-step explanation:

9x 10 = 90 then 90-8 = 82 that how many spaces are filled .

Answer:

vertex:(−4,−4)

y-intercept:(0,12)

roots x=−2

and x= -6

AOS:-4

Step-by-step explanation:

Answer for Area :

1/24

Answer for Perimeter :

35/36

Step-by-step explanation:

To find the area it's l x w so you multipy 1/9 and 3/8 = 1/24

To find the perimeter you add all the sides together so you add 1/9 + 1/9 + 3/8 + 3/8 = 35/36

I hope this helped you!! :> Have a great rest of your day!

Answer: area 1/24 perimeter 35/36

Step-by-step explanation:

Answer:

X + 5 - 9

Step-by-step explanation:

Is your expression.

Answer:

y=18

Step-by-step explanation:

54 divided by 3 = 18

Hope this helps :)

(Brainliest?)

Answer:

18

Step-by-step explanation:

Divide each side by 3

54/3 = 18

Answer:

a)13

b)F(x)=1/f(x) = 2/ x^2-3

c) 1/59