Answer:

Step-by-step explanation:
the volume of a cylinder is given by:

where r is the radius and h is the height.
and the surface area:

the first term is the area of the circles and the second term is the area of the body.
since "The number of volume of a cylinder is half of its number of the total surface area." we will have that:

substitutig the equivalent expressions on each side:

and we simplify and solve for the height (since is the value we don't know of the cylinder):

we substitute the value of the radius
, and we get:

thus the volume is:


Answer:
Step-by-step explanation:
The center is at (2,-7). The radius is 2.
(x-2)² + (y+7)² = 2²
Answer:
Step-by-step explanation:
Given that:
sample size n = 36
standard deviation = 10.1
level of significance ∝ = 0.10
The null hypothesis and the alternative hypothesis can be computed as follows:


The test statistics can be computed as follows:





degree of freedom = n - 1 = 36 - 1 = 35
Since this test is two tailed .
The P -value can be determined by using the EXCEL FUNCTION ( = 2 × CHIDIST(35.7035, 35)
P - value = 2 × 0.435163515
P - value = 0.8703 ( to four decimal places)
Decision Rule : To reject the null hypothesis if P - value is less than the 0.10
Conclusion: We fail to reject null hypothesis ( accept null hypothesis) since p-value is greater than 0.10 and we conclude that there is sufficient claim that the normal range of pulse rates of adults given as 60 to 100 beats per minute resulted to a standard deviation of 10 beats per minute.