Answer:
19 4/5
Step-by-step explanation:
Answer:
d = 13.8 feet
Step-by-step explanation:
Because we are talking about cubic feet of water, we need the formula for the VOLUME of a cylinder. That formula is

We will use 3.141592654 for pi; if the tank HALF filled with water is at 20 feet, then the height of the tank is 40 feet, so h = 40; and the volume it can hold in total is 6000 cubic feet. Filling in then gives us:

Simplify on the right to get

Divide both sides by 125.6637061 to get that

Taking the square root of both sides gives you
r = 6.90988299
But the diameter is twice the radius, so multiply that r value by 2 to get that the diameter to the nearest tenth of a foot is 13.8
Answer:
p(x) = 7x - 20
Step-by-step explanation:
A company makes a profit selling goods when the revenue taken in from the sales is greater than the cost of those goods: p(x) = r(x) - c(x) > 0.
In this case the revenue function is r(x) = 12x; the cost function is c(x) = 5x + 20, and the profit function is p(x) = 12x - (5x + 20), or:
p(x) = 12x - 5x - 20, or
p(x) = 7x - 20
Answer:
35 students
Step-by-step explanation:
Take the number of students in the class and multiply by 60% and see if you get an integer number
28 * .60 =16.8 not an integer
32 * .6 =19.2
35 * .6 =21 yes
39*.6 =23.4
Answer:
Probability that one or more people in Arbalest got a cold is 0.9987.
Step-by-step explanation:
We are given that according to a report, 11 people got colds for every 2000 people.
There are 1200 people in the town of Arbalest.
The above situation can be represented through binomial distribution;

where, n = number of trials (samples) taken = 1200 people
r = number of success = one or more people got a cold
p = probability of success which in our question is probability
that people got colds, i.e; p =
= 0.55%
Let X = <u><em>Number of people in Arbalest who got a cold</em></u>
So, X ~ Binom(n = 1200 , p = 0.0055)
Now, Probability that one or more people in Arbalest got a cold is given by = P(X
1)
P(X
1) = 1 - P(X = 0)
=
=
= 0.9987 or 99.87%
Hence, the required probability is 99.87%.