First you need the formula for SA of a cylinder: SA = 2(πr^2) + 2πr*h
(area of the top and bottom circles plus the side)
Then plug your values into the equation and rearrange to make h the subject:
1470.3 = 2π13^2 + 2π*13*h
26πh = 1470.3 - 338π
h = (1470.3 - 338π)/26π
=5.00042...
so h is approximately 5 units :)
The future amount of the current deposit given that the interest is simple and yearly is computed through the equation,
F = P x (1 + in)
where P is the principal amount, F is the future amount, i is the interest (in decimal form) and n is the number of years.
In this certain problem, we substitute the known values to the equation and solve for P,
2419.60 = P x (1 + (0.052)(1))
P = 2300
Thus, the initial investment was worth $2,300.
F’(x)= -akxsinkx
F’’(x)= -a(kx)^2coskx
I’m really sorry if the answer turned out wrong but I tried my best!
Answer:
47
Step-by-step explanation:
this is due to when 286 is divided by 61 it gets 40 and the remainder gets you 7 as a result it is 47
Answer: 0.4758
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Also, the new population of pilots has normally distributed .
The formula to calculate the z-score :-

For x=130 lb .

For x=171lb.

The p-value =

Hence, the required probability : 0.4758