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Answer:

The answer is 19.75

Step-by-step explanation:

You multiply the one in the brackets first

Answer:

a)

[tex]n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2[/tex], in which z is related to the confidence level.

b) A sample size of 991 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent

This means that [tex]\pi = 0.16[/tex]

a. What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03 (round up to the next whole number).

This is n for which [tex]M = 0.03[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = z\sqrt{\frac{0.16*0.84}{n}}[/tex]

[tex]0.03\sqrt{n} = z\sqrt{0.16*0.84}[/tex]

[tex]\sqrt{n} = \frac{z\sqrt{0.16*0.84}}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{z\sqrt{0.16*0.84}}{0.03})^2[/tex]

[tex]n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2[/tex], in which z is related to the confidence level.

Question b:

99% confidence level,

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

[tex]n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2[/tex]

[tex]n = (\frac{2.575\sqrt{0.16*0.84}}{0.03})^2[/tex]

[tex]n = 990.2[/tex]

Rounding up

A sample size of 991 is needed.

Answer and Step-by-step explanation:

To find the volume, we multiply the length by the width by the height for a rectangular prism (aka the box).

length = l = 3

width = w = 3

height = h = 5

Now, we multiply each together.

3 × 3 × 5

9 × 5

45

The volume of the box is 45.

#teamtrees #PAW (Plant And Water)

Answer:

the volume of the box would be 45

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

They are alternate exterior angles, so they are congruent. This means that:

[tex]7x - 10 = 9x - 44\\34 = 2x\\x = 17[/tex]

The value of x, if the lines  7x - 10 and 9x - 44 are parallel, is 17.

Lines are defined as objects with an infinite length and no width, depth, or curvature. Lines are one-dimensional objects even though they can occur in contexts that are two, three, or higher dimensional.

Given:

The equations of lines are 7x - 10 and 9x - 44,

As we know, the line parallel has the same slope,

The condition of parallel lines ca be written as,

[tex]L_1 / L_2 = 1[/tex]

Here, L₁ and L₂ are equations of lines,

7x - 10 / 9x - 44 = 1

9x - 44 = 7x - 10

9x - 7x = 44 - 10

x = 34 / 2

x = 17

To know more about the line:

https://brainly.com/question/2696693

#SPJ2

Answer: a. 90

Step-by-step explanation: plz give me brainliest

Complete question :

Suppose that of the 300 seniors who graduated from Schwarzchild High School last spring, some have jobs, some are attending college, and some are doing both. The following Venn diagram shows the number of graduates in each category. What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as a decimal precise to two decimal places.

What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a decimal precise to two decimal places.

Answer:

0.56 ; 0.60

Step-by-step explanation:

From The attached Venn diagram :

C = attend college ; J = has a job

P(C) = (35+45)/300 = 80/300 = 8/30

P(J) = (30+45)/300 = 75/300 = 0.25

P(C n J) = 45 /300 = 0.15

1.)

P(J | C) = P(C n J) / P(C)

P(J | C) = 0.15 / (8/30)

P(J | C) = 0.5625 = 0.56

2.)

P(C | J) = P(C n J) / P(J)

P(C | J) = 0.15 / (0.25)

P(C | J) = 0.6 = 0.60

Answer:

24

Step-by-step explanation:

72/3=24

Answer:

0 solutions

Step-by-step explanation:

parallel lines have no solutions because they never intersect.

Answer:

E = N × C

for

E: earnings

N: number sold

C: cost

she will make:

50 × 1.25 = $62.5

its x4 got it thanks give me brainliest

Answer:

number 1

Step-by-step explanation:

Answer:

55/24 miles or 2 7/24 2.29... miles

Step-by-step explanation:

7/8 = 21/24

3/4 = 18/24

2/3 = 16/24

16+18+21=55

Answer:

C. AB/BC=FE/ED

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the x values are the same so there is no increase or decrease in slope. therefore the slope is 0

Answer:

Absolute Maximum: (0.2 , 80.2)

Absolute Minimum: (4 , 8 )

Step-by-step explanation:

Step-by-step explanation:

Perimeter of rectangle = 2(l+b)

= 2(97+17)

= 2(114)

= 228cm

Answer:

P = 228 inches

Step-by-step explanation:

P = 2(l + w)

l = 97 inches

w = 17 inches

P = 2 (97 + 17)

P = 2 x 114

P = 228

Answer:

2.2

Step-by-step explanation:

47/21 = 2.238095

round to tenth = 2.2

Answer:

2.2 would be the answer. :)))

Answer:

b

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Hello There!

In order for a right triangle to be a right triangle the hypotenuse ( longest side) squared must equal the sum of the two shorter sides squared

so if this is a right triangle then

[tex]21^2+28^2=35^2\\21^2=441\\28^2=784\\784+441=1225\\35^2=1225\\1225=1225[/tex]

so as you can see 21^2+28^2 does = 35^2 so the side measures given do make a right triangle

Answer:

4

Step-by-step explanation:

Use PEMDAS. Use a calulator to solve 3 and 1/3 times 1.9+19.5 divided by 4 and 1/2 and after you solve that solve 62/75- 0.16. Divided the first answer by the second. Now move to 3.5+4 and 2/3+ 2 and 2/15 then solve. Next solve 0.5 times ( 1 and 1/20+ 4.1) and with the answer you got from the equation above divided that by the answer just solved. Now divided the number on the left with the number on the right and you should get 4.

Answer/Step-by-step explanation:

Volume of a sphere = ⁴/3πr³

1. r = ½ of 14.4 = 7.2 in.

Volume = ⁴/3 × π × 7.2³ = 1563.46 ≈ 1563.5 in.³

2. r = 6 yd

Volume = ⁴/3 × π × 6³ = 904.78 ≈ 904.8 yd³

3. r = 8 mm

Volume = ⁴/3 × π × 8³ = 2144.66 ≈ 2144.7 mm³

4. r = ½ of 13.5 = 6.75 cm

Volume = ⁴/3 × π × 6.75³ = 1288.25 ≈ 1288.3 cm³

5. r = 4.7 in.

Volume = ⁴/3 × π × 4.7³ = 434.89 ≈ 434.9 in.³ (nearest tenth)

9514 1404 393

Answer:

  2)  (b) -7

  3)  (b) 14

Step-by-step explanation:

2) The sum is found by adding the numbers together. Your calculator can help if you can't do it in your head. I usually find it easier to add the positive and negative numbers separately. Of course the 0 can be ignored.

  18 + 0 -4 -12 +6 -15 = (18 +6) -(4 +12 +15) = 24 -31 = -7

__

3) Apparently, we are to assume that George's percentage will apply to the next 40 pitches. Then ...

  (number missed)/(number thrown) = 35%

  missed = (thrown)×0.35 = 40×0.35 = 14

George is expected to miss 14 of the 40 pitches.

Answer:

28 (length' unit)²

Step-by-step explanation:

the area of all A rectangle - The area of the missing portion of the rectangle = 32 - 4 = 28 (length' unit)²

Answer:

[tex](x_1,y_1) = (1,5840)[/tex]

[tex](x_2,y_2) = (2,13090)[/tex]

[tex]y = 1812.5x + 4027.5[/tex]

[tex]y_0 = 4027.5[/tex] --- y intercept

Step-by-step explanation:

Given:

x = weeks; y = copies

The right parameters are:

After 1 week, 5840 copies were downloaded

After 5 weeks, 13090 copies were downloaded

So, the (x,y) forms are:

[tex](x_1,y_1) = (1,5840)[/tex]

[tex](x_2,y_2) = (5,13090)[/tex]

Next, we calculate the slope (m) using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{13090 - 5840}{5 - 1}[/tex]

[tex]m = \frac{7250}{4}[/tex]

[tex]m = 1812.5[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 1812.5(x - 1) + 5840[/tex]

[tex]y = 1812.5x - 1812.5 + 5840[/tex]

[tex]y = 1812.5x + 4027.5[/tex]

To calculate the y intercept, substitute 0 for x

[tex]y_0 = 1812.5*0 + 4027.5[/tex]

[tex]y_0 = 0 + 4027.5[/tex]

[tex]y_0 = 4027.5[/tex]

Answer:

x = 2√3

Step-by-step explanation:

x² = √6² + √6²

x² = 6 + 6 = 12

x = √12 = 2√3

Answer:

P(pumps) = 2/5

Step-by-step explanation:

(Pumps)/(Everything)

(10)/(9+6+10)

10/25

2/5

Answer:

Stratified random

Step-by-step explanation:

got it right

Answer:

C

Step-by-step explanation: