The equation for volume of a sphere is:
Volume = 4/3 * PI * r^3
r is the radius = 1 inch
Volume is given as 4 cubic inches per second increase.
Given: dv/dt = 4 cubic inches per second.
Need to find dr/dt
Formula for volume of a sphere is: V = 4/3 * π * r^3
so now we have:
4 in^3 = 4 * π *1^2
Divide both sides by 4 * π *1^2
4 in^3 / 4π = 1/π inch per second.
The answer is 1/π inch per second ( exact answer)
or as a decimal: 0.3183 ( round as needed).
Answer:
27
Step-by-step explanation:
It is true. here is how........
4-0 is rounding down
5-9 is rounding up
when rounding to the tenths place you look at the hundredths place to find the answer.
Set the function up in integral form and evaluate to find the integral.
F(x)=F(x)=12x2−ln(|x|)−1x2+C
Answer:
The probability that none of the 10 calls result in a reservation is 0.60%. In turn, the probability that at least one call results in a reservation being made is 99.40%.
Step-by-step explanation:
Since approximately 40% of the calls to an airline reservation phone line result in a reservation being made, supposing an operator handles 10 calls, to determine what is the probability that none of the 10 calls result in a reservation, and what is the probability that at least one call results in a reservation being made, the following calculations must be performed:
0.6 ^ 10 = X
0.006 = X
0.006 x 100 = 0.60%
Therefore, the probability that none of the 10 calls result in a reservation is 0.60%.
100 - 0.60 = 99.40
In turn, the probability that at least one call results in a reservation being made is 99.40%.
