Using the t-distribution, it is found that the p-value of the test is 0.007.
At the null hypothesis, it is <u>tested if the mean lifetime is not greater than 220,000 miles</u>, that is:

At the alternative hypothesis, it is <u>tested if the mean lifetime is greater than 220,000 miles</u>, that is:
.
We have the <u>standard deviation for the sample</u>, thus, the t-distribution is used. The test statistic is given by:
The parameters are:
is the sample mean.
is the value tested at the null hypothesis.
- s is the standard deviation of the sample.
- n is the sample size.
For this problem:

Then, the value of the test statistic is:



We have a right-tailed test(test if the mean is greater than a value), with <u>t = 2.69</u> and 23 - 1 = <u>22 df.</u>
Using a t-distribution calculator, the p-value of the test is of 0.007.
A similar problem is given at brainly.com/question/13873630
Answer:
Step-by-step explanation:
x=
x=20
It is a terminating decimal
Answer:
46.25 feet squared
Step-by-step explanation:
base area = 5x2 = 10
you need to find how tall the faces of the prism are now. You can do this using the pythagorean theorem: a^2+b^2=c^2
5^2+2.5^2=c^2 and 5^2+1^2=c^2
(since it is a rectangular pyramid)
c= 5.60 and c= 5.01
now be can find the surface area of the 4 triangles
SA= 5.60x2 and SA= 5.01x5
SA=11.2 and SA= 25.05
add all the components (11.2, 25.05, 10) together to get the final surface area: 46.25
Complete question
A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 7 meters per minute. At a certain instant, the bottom of the ladder is 21 meters from the wall.
What is the rate of change of the distance between the bottom of the ladder and the wall at that instant(in meters per minute)
Answer:

Step-by-step explanation:
From the question we are told that
Slant height 
Change in Vertical height 
Horizontal length 
Generally in finding the distance form the top to the bottom of the wall it is mathematically given by




Generally solving for the differential equation is mathematically represented as






