A right come has a slant height of 17 feet, and the diameter of the base is 16 feet. What is the height, h, of the cone?
1 answer:
Answer:
h = 15 feet
Step-by-step explanation:
A right triangle is formed by the slant height, the radius of the base and h, with the slant height being the hypotenuse.
Using Pythagoras' theorem in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
Since base diameter = 16 then radius = 8
h² + 8² = 17²
h² + 64 = 289 ( subtract 64 from both sides )
h² = 225 ( take the square root of both sides )
h = = 15
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No, we don't have evidence to support that the mean completion time under new management has decreased but we can conclude that it remains at 15.5 minutes.
Given mean of 15.5 minutes , standard deviation of 1.7 minutes, sample size of 90 and sample mean of 15.4 minutes.
We can do the following study for conclusion:
Firstly the null hypothesis is
The alternate hypothesis is
since the value is less than this is a one tailed test.
Z=x bar-x/d/
where x is sample mean and d is standard deviation.
Z=15.4-15.5/1.7/
=-0.1/1.7/9.4868
=-0.560
Critical value of Z at 0.1 level of significance
Z=-1.28
We fails to reject the null hypothesis since -0.560>-1,28
Hence we don't have evidence to support that the mean completion time under new management has decreased but we can conclude that it remains at 15.5 minutes.
Learn more about hypothesis at brainly.com/question/11555274
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Question is incomplete. It should include:
mean of 15.5 minutes ,
standard deviation of 1.7 minutes,
sample size of 90
and sample mean of 15.4 minutes.