Reuben attached a wire between two poles on a hill as shown which is the closest to x the distance between the two poles
1 answer:
<u>Answer:</u>
75 ft
<u>Step-by-step explanation:</u>
Here we are given a right angled triangle with a known angle of 20°, length of the hypotenuse to be 80 and we are to find the length of the base x.
For that, we can use the formula for cosine for which we need an angle and the lengths of base and hypotenuse.
So putting in the given values to get:
Therefore, the value of x is the closest to 75 ft.
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Answer:
Null Hypothesis, : p
85%
Alternate Hypothesis, : 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 = <u><em>proportion of respondents who would be bothered about given a room on the thirteenth floor</em></u>
SO, Null Hypothesis, : p
85%
Alternate Hypothesis, : p > 85%
Here, <u>null hypothesis states that</u> 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, <u>alternate hypothesis states that</u> 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.