Answer:
f(10) = - 26
Step-by-step explanation:
To evaluate f(10), substitute x = 10 into f(x), that is
f(10) = 4 - 3(10) = 4 - 30 = - 26
Answer:
Volume = 200.96 cubic feet
Step-by-step explanation:
Volume of a cone is given by the formula 
Where r is the radius and h is the height
Given r = 4 and height is 3 times that. So height is 4*3 = 12
Plugging these into the formula we get:
Volume of Cone = 
Thus, Volume = 200.96 cubic feet
Answer:
45
Step-by-step explanation:
Answer:
3.93% probability that both say service is poor
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The customers are chosen without replacement, and the order in which they are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
What is the probability that both say service is poor?
Desired outcomes:
Two saying it is poor, from a set of 66. So
Total outcomes:
Two customers from a set of 331. So
Probability:
3.93% probability that both say service is poor
Answer: it will take 9 hours to empty the pool.
Step-by-step explanation:
The pool is shaped like a rectangular prism with length 30 feet, wide 18 ft, and depth 4ft. It means that when the pool is full, its volume is
30 × 18 × 4 = 2160 ft³
If water is pumped out of the pool at a rate of 216ft3 per hour, then the rate at which the water in the pool is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence(initial amount of water in the pool when completely full).
d represents the common difference(rate at which it is being pumped out)
n represents the number of terms(hours) in the sequence.
From the information given,
a = 2160 degrees
d = - 216 ft3
Tn = 0(the final volume would be zero)
We want to determine the number of terms(hours) for which Tn would be zero. Therefore,
0 = 2160 - 216 (n - 1)
2160 = 216(n - 1) = 216n + 216
216n = 2160 - 216
216n = 1944
n = 1944/216
n = 9
