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.
Answer:
B
Step-by-step explanation:
the decay will cause loss so it's the function B
Answer:
15.95 feets
Step-by-step explanation:
Given that:
Angle of elevation = 62°
Using trigonometric relation :
Tanθ = opposite / Adjacent
From the drawing attached :
Opposite = 30 feets
Distance between girl and lighthouse = d
Tan 62 = 30 / d
1.8807264 * d = 30
d = 30 / 1.8807264
d = 15.951283
d = 15.95 feets
This is the concept of scales factors, given that two similar solids with 729 inches^3 and 125 inches^3. The volume scale factor will be given by:
(volume of larger solid)/(volume of smaller solid)
=729/125
but
linear scale factor=(volume scale factor)^1/3
thus the linear scale factor will be:
(729/125)^1/3
=9/5
Also, area scale factor will be given by:
area scale factor=(linear scale factor)^2
=(9/5)^2
=81/25
The area of the larger solid will be given by:
let the area be A;
A/74.32=81/25
thus
A=81/25*74.32
A=240.7968 inches^2