Answer:
Step-by-step explanation:
given that certain tubes manufactured by a company have a mean lifetime of 800 hours and a standard deviation of 60 hours.
Sample size n =16
Std error of sample mean = 
x bar follows N(800, 15)
the probability that a random sample of 16 tubes taken from the group will have a mean lifetime
(a) between 790 and 810 hours,
=
(b) less than 785 hours

, (c) more than 820 hours,

(d) between 770 and 830 hours
=
We are given with the free-fall function expressed as y = –16t2 + 224. To get the time of fall, equate y equal to zero as this means the stone has already reached the bottom. Doing this, t is equal to square root of 14 or equivalent to 3.74 seconds
Answer:

Step-by-step explanation:
The given function is
f(x) = 4x
As we know
f(x) = y, which implies x= 
Therefore,
y = 4x
x = 
as x= 
So,

replacing y by x in the above expression

So our inverse function is 
Answer: 314.16
Step-by-step explanation: To find the area of a circle you have to square the radius then multiply by pi. 10 squared is 100 then multiplied by pi is 314.16 (rounded to the nearest hundredth).