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3 years ago

Find three geometric means between -2/3 and -54

Mathematics

1 answer:

White raven [17]3 years ago

5 0

Answer:

-2,-6,-18

Step-by-step explanation:

let g1,g2,g3 be three G.M.s between -2/3 and -54

now -2/3,g1,g2,g3,-54 are geometric

n=5

an=a1 r^{n-1}

-54=-2/3 r^{5-1}

r^{4}=-54×-3/2=81=3^4

r=3

g1=a1×r=-2/3×3=-2

g2=a1×r²=-2/3×3²=-6

g3=a1×r³=-2/3×3³=-18

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Step-by-step explanation:

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3 years ago

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uysha [10]

Answer:

Null Hypothesis, $H_0$ : p $\leq$ 85%

Alternate Hypothesis, $H_A$ : p > 85%

Step-by-step explanation:

We are given that it's been found that 85% of American adults suffer from triskaidekaphobia (fear of the number 13).

A USA Today/Gallup poll asked 1,006 randomly selected people 18 years old and older in telephone interviews "Suppose you checked into a hotel and were given a room on the thirteenth floor. Would this bother you or not?" 87% of the survey respondents answered they would be bothered.

Let p = proportion of respondents who would be bothered about given a room on the thirteenth floor

SO, Null Hypothesis, $H_0$ : p $\leq$ 85%

Alternate Hypothesis, $H_A$ : p > 85%

Here, null hypothesis states that the proportion of respondents who would be bothered about given a room on the thirteenth floor is less than or equal to 85%.

On the other hand, alternate hypothesis states that the proportion of respondents who would be bothered about given a room on the thirteenth floor is more than 85%.

Hence, this would be the correct null and alternative hypothesis.

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3 years ago