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yanalaym [24]
2 years ago
15

Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol ( μ, rho, σ) for the indicat

ed parameter. A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness. Use p, the true percentage of the population that suffers from extreme shyness.
a) H0 : p = 5.8%
H1 : p < 5.8%
b) H0 : p = 5.8%
H1 : p ≥ 5.8%
c) H0 : p = 5.8%
H1 : p > 5.8%
d) H0 : p = 5.8%
H1 : p ≤ 5.8%
Mathematics
2 answers:
-Dominant- [34]2 years ago
7 0

Answer:

c) H0 : p = 5.8%

H1 : p > 5.8%

Step-by-step explanation:

Hope this helps

ipn [44]2 years ago
3 0

Answer:

c) H0 : p = 5.8%

H1 : p > 5.8%

Step-by-step explanation:

At the null hypothesis, we test that the percentage is equal to a certain value. At the alternate hypothesis, we have a test about this percentage, if it is more, less, or different from the tested value.

A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness

At the null hypothesis, we test if the percentage is 5.8%

H_0: p = 5.8\%

At the alternate hypothesis, we test if this percentage is more than 5.8%. So

H_a: p > 5.8\%

This means that the correct answer is given by option c.

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Simplify -1/6(6x-12y)
harkovskaia [24]
Factor the expression:
-1/6*6(x-2y)
Divide by 6
-1(x-2y)
Then times by -1
-x+2y
Is your answer
Hope this helps
3 0
3 years ago
Read 2 more answers
17. x^2 + 2x + 1
valentina_108 [34]

Answer:

E. This polynomial could be factored by using grouping or the perfect squares methods.

Step-by-step explanation:

x^2 + 2x + 1

There is no greatest common factor

This is a perfect square

a^2 + 2ab+ b^2 = ( x+1)^2

We can factor this  by grouping

x^2 + 2x + 1

(x^2 +x) + (x+1)

x( x+1)  + x+1

Factor out x+1

( x+1)  ( x+1)

This is not the difference of squares since there is no subtraction

5 0
3 years ago
The volume of a cube is 27000 cubic inches. What is the length of one side?
anyanavicka [17]

Given:

Volume of a cube = 27,000 in^3

(Note: A cube has equal sides)

The volume of a cube = a^3

So,

\begin{gathered} 27000=a^3 \\ \sqrt[3]{27000}\text{ = a} \\ a\text{ = 30 in.} \end{gathered}

Therefore, the lenght of one side is 30 inches.

4 0
1 year ago
Maria says the mean of the scores 7, 8, 3, 0, 2 is 5, because she added the scores and divided by 4. Is she correct? Explain why
Sergeu [11.5K]

Answer:

She is wrong.

Step-by-step explanation:

The mean score is

7 + 8 + 3 + 0 + 2= 20

We then divide it by the number which is 5

20/5= 4.

Therefore, Maria is wrong.

This is because she divided by 4 instead of 5, as she didn't include the rational number 0.

8 0
2 years ago
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. A sphere with height h a
8090 [49]

Answer:

C. 14 metres cubed

Step-by-step explanation:

The volume of a sphere is denoted by: V=\frac{4}{3} \pi r^3, where r is the radius, while the volume of a cylinder is denoted by: V=\pi r^2h, where r is the radius and h is the height.

Here, we know that the sphere and cylinder have the same radius and height. However, the "height" of the sphere is technically just the diameter, which is twice the radius. So, h = 2r. We know the volume of the cylinder is 21, so:

V=\pi r^2h=\pi r^2*2r=2\pi r^3

21=2\pi r^3

πr³ = 21/2 = 10.5

Now plug this into the volume of a sphere formula:

V=\frac{4}{3} \pi r^3

V=\frac{4}{3} *10.5=14

The answer is C, 14 metres cubed.

5 0
3 years ago
Read 2 more answers
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