Answer:
730
Step-by-step explanation:
A(X)= 2πRH+2πR^2
A(X)=2π(7.5)(8)+2π(7.5)^2=730.42 = 730
Answer:
4
Step-by-step explanation:
$0.75 + $3.00
$3.75
$14 ÷ $3.75
$4
Answer:
a)P=0.42
b) 
Step-by-step explanation:
We have a binomial distribution, since the result of each experiment admits only two categories (success and failure) and the value of both possibilities is constant in all experiments. The probability of getting k successes in n trials is given by:

a) we have k=2, n=10 and p=0.01:

b) We have,
, Here P is the probability that at least one particle will penetrate the shield, this probabity has to be equal or greater than 0.95. Therefore, this will be equal to subtract from the total probability, the probability that the particles do not penetrate raised to the total number of particles.

Answer:
225
Step-by-step explanation:
9514 1404 393
Answer:
Yes, these rates are equivalent because the unit rate of 6 laps per minute matches each rate.
Step-by-step explanation:
In each case we have ...
laps/minutes = (42 laps)/(7 minutes) = 6 laps/minute = (48 laps)/(8 minutes)
Yes, the rates are both 6 laps/min, so are equivalent.