The formula for the volume of a quarter-sphere is simply one-fourth of the volume of the sphere. So the volume of a quarter-sphere:
V = (1/4) (4/3) (π r³)
or
V = (1/3) (π r³)
Since we are given with the radius of 70 feet, the volume is
V = (1/3) (π) (70³)
V = 359,189 cubic feet
Answer:
swap the middle two steps to put them in order
Step-by-step explanation:
The steps in order would be ...
- -11 -5z = 30z +24 . . . . . eliminate parentheses
- -11 = 35z +24 . . . . . . . . add 5z
- -35 = 35z . . . . . . . . . . . . subtract 24
- -1 = z . . . . . . . . . . . . . . . . divide by 2
Answer:
There is a 24.3% probability that one of the calculators will be defective.
Step-by-step explanation:
For each calculator, there are only two possible outcomes. Either it is defective, or it is not. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
The probability of a defective calculator is 10 percent.
This means that 
If 3 calculators are selected at random, what is the probability that one of the calculators will be defective
This is P(X = 1) when n = 3. So


There is a 24.3% probability that one of the calculators will be defective.
9514 1404 393
Answer:
B. 9x² +15x -6
Step-by-step explanation:
The composition operator means that function f is applied to function g:

Answer:
b, b
Step-by-step explanation: