A school guidance counselor is concerned that a greater proportion of high school students are working part-time jobs during the school year than a decade ago. A decade ago, 28% of high school students worked a part-time job during the school year. To investigate whether the proportion is greater today, a random sample of 80 high school students is selected. It is discovered that 37.5% of them work part-time jobs during the school year. The guidance counselor would like to know if the data provide convincing evidence that the true proportion of all high school students who work a part-time job during the school year is greater than 0.28.

The power of this test to reject the null hypothesis if p = 0.747 is 0.59 using a significance level of α = 0.05. What is the interpretation of the power of this test?

If the true proportion of high school students who work a part-time job during the school year is p = 0.747, there is a 0.59 probability that the guidance counselor will find convincing evidence for Ha: p > 0.28.
If the true proportion of high school students who work a part-time job during the school year is p = 0.747, there is a 0.59 probability that the guidance counselor will find convincing evidence for Ha: p = 0.28.
If the true proportion of high school students who work a part-time job during the school year is p = 0.28, there is a 0.41 probability that the guidance counselor will find convincing evidence for Ha: p > 0.28.
If the true proportion of high school students who work a part-time job during the school year is p = 0.28, there is a 0.41 probability that the guidance counselor will find convincing evidence for Ha: p = 0.28.

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Answer:

  175.2 square feet

Step-by-step explanation:

The lateral area is the total area of the side faces. It excludes the area of the top and bottom "bases" of the prism.

It can be found by adding the areas of the four rectangles. The two you can't see have the same areas as the two you can see.

Since the height of each rectangle is 4 feet. the total area will be the product of that and the perimeter of the prism.

  LA = Ph . . . . perimeter times height

  LA = 2(L+W)h . . . . the perimeter is twice the sum of length and width

  LA = 2(12.3 ft + 9.6 ft)(4 ft) = 2(21.9 ft)(4 ft) = 175.2 ft²

The lateral area of the prism is 175.2 ft².

__

The attachment shows scribbling on two of the faces that contribute to the lateral area. As stated above, the other two faces are the same size as these.

Answer:

5^8/5^x=5^6 the asnwer is 2

Answer:

24

Step-by-step explanation:

so multiplies see och the rest of the world and the second half and the other hand if you have a good and the second one is the only way only a and the other is the first time I saw one he and only best o

Answer:

33b-8 is the perimeter

Step-by-step explanation:

Triangle is an Isosceles triangle so two side is equal

2(12b - 8) + 9b + 8

Distribute

24b - 16 + 9b + 8

Combine like terms

33b -8

Answer:

1 banana, 1 cup flour, 2/3 cup sugar

Step-by-step explanation:

Answer:

32π + 96 [tex]cm^{2}[/tex] = exact area

196.48 [tex]cm^{2}[/tex] = area to the nearest 100th

Step-by-step explanation:

Area of semicircle = 1/2π[tex]r^{2}[/tex] = 1/2π[tex]8^{2}[/tex] = 1/2π(64) = 32π

Area of triangle = 1/2bh = 1/2(16)(12) = 96

Total area =  32π + 96 [tex]cm^{2}[/tex]

or 100.48 + 96 = 196.48 [tex]cm^{2}[/tex]

32π + 96 cm²  = exact area

196.48 cm²  = area to the nearest 100th

A semicircle is a one-dimensional locus of points that makes up one half of a circle in mathematics. A semicircle's whole arc is always 180 degrees long. It just has one symmetry line.

Given

Area of semicircle = 1/2πr² = 1/2π(8)² = 1/2π(64) = 32π

Area of triangle = 1/2bh = 1/2(16)(12) = 96

Total area =  32π + 96 cm²

or 100.48 + 96 = 196.48 cm²

To know more about semi-circles refer to:

https://brainly.com/question/10653168

#SPJ2

Answer:

b

Step-by-step explanation:

Answer:

a) red

b) red

c) the blue one is y=1/2x+1

Step-by-step explanation:

the answer to the problem is:

M = 1

Answer:

65°

Step-by-step explanation:

81°+124°+90° (right angle) = 295

360-295 = 65°

Answer:

[tex]y\leq 4[/tex]

Step-by-step explanation:

The range is about the y values, and by looking at this parabola we can see that the maximum value is a 4. So the range would be the maximum and below (where the parabola extends to). So the values in the range would be equal to 4 and less than since the parabola is negative.

Hope this helps :)

Step-by-step explanation:

[tex] \frac{360 - 2(99)}{2} = \\ = \frac{360 - 198}{2} = \\ = \frac{162}{2} = \\ = 81[/tex]

Answer: 81°

Step-by-step explanation:

Angles on a straight line always add up to 180°.

So as a and 99° are on the same straight line you would have to do 180-99=81°

Hope this helps :)

Answer:

-3

Step-by-step explanation:

3 cubed is 27 and since its a negative integer you keep the (-) symbol.

The would have been 3 if it asked for the negative cube root of -27

Answer:

1) 28

2) 28

B) 1 and 1/2 hr

Answer:

A⁣⁣⁣⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto.

Step-by-splanation:

Answer:

hey

Step-by-step explanation:

so i dont know

how to solve this and i cant help u

Answer:

14.4 in

Step-by-step explanation:

25 in is the longer leg so you have to do [tex]\frac{25}{\sqrt3}[/tex]

Answer:

14.4 on edge 2021

Step-by-step explanation:

Answer:

80 2

Step-by-step explanation:

am not sure about that answer i think it is correct

Answer:

40

Step-by-step explanation:

Answer:

The value of a₂₇ is 788

Step-by-step explanation:

a₁₉ = 548

a₃₃ = 968

Now,

a₁₉ = 548 can be written as

a + 18d = 548 ...(1) and

a₃₃ = 968 can be written as

a + 32d = 968 ...(2)

Now, from equation (2) we get,

a + 32d = 968

a + 18d + 14d = 968

548 + 14d = 968 (.°. a + 18d = 548)

14d = 968 - 548

14d = 420

d = 420 ÷ 14

d = 30

Now, for the value of a put the value of d = 30 in equation (1)

a + 18d = 548

a + 18(30) = 548

a + 540 = 548

a = 548 - 540

a = 8

Now, For a₂₇

a₂₇ = a + 26d

a₂₇ = 8 + 26(30)

a₂₇ = 8 + 780

a₂₇ = 788

Thus, The value of a₂₇ is 788

-TheUnknownScientist

Answer: d is 53 degrees, c is 5, g is 13, e is 90 degrees, f is 37 degrees, b is 12 .

Step-by-step explanation:

Since they're congruent you just compare the two and replace them. You have the answers on both sides, they're just split up. So look at one side, then the other, and see what you can find. Repeat.

Answer and Step-by-step explanation:

Since the triangles are congruent, that means all the variables correspond to the values of the other triangle, and vise versa.

g = 13

b = 12

f = 37

a = 90

c = 5

d = 53

I hope this helps!

#teamtrees #PAW (Plant And Water)

Step-by-step explanation:

height= 4b

length = 2 + b

volume = 60in³

or, l ×b × h = 60in³

or, (2+b) × b × 4b = 60in³

or, 4b²(2+b) = 60in³

or, 8b² + 4b³ = 60

or, 2b² + b³ = 15

or, b³ + 2b² -15= 0

b= 1.95

l= 2+1.95=3.95

h= 4×1.95 = 7.8

Answer:

c

Step-by-step explanation:

edg 21 ^u^

Answer:

The person above me is correct. :D

Step-by-step explanation:

Answer:

To transform the given expression to the sum of cubes, calculate first the cube root of the terms. The cube root of the first term, 64x^6 is 4x^2 and that of the second term, 27 is 3.

Thus, the answer to this is (4x^2)^3 + 3^3

Answer:

a:  11:7

b: 11:

I hope this helped :)

Answer:

hyperbola

Step-by-step explanation:

Sana makatulong

Answer:

30°

Step-by-step explanation:

if correct pls mark brainliest

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 2

Step-by-step explanation:

There is a common difference d between consecutive terms

d = 5 - 3 = 7 - 5 = 9 - 7 = 11 - 9 = 2

A recursive formula allows a term in the sequence be found by adding d to the previous term, then

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 2 : with a₁ = 3

Answer:

Step-by-step explanation: