Which expression can be used to find the quotient of 15 and 1/3?
Solution
The quotient of "P" and "Q" is P/Q.
Therefore, the quotient expression of 15 and 1/3 is
We can rewrite
Note: If we have fraction in the divisor, we can flip the fraction and multiply with the dividend.
Answer:
E) .0863
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Solution to the problem
For this case we can find the sample proportion for each observation with the following formula:
Where X represent the number of returns and n =100 for each case since the standard value used. Using the last formula we got:
And now witht those values we can find the sample mean of proportions with the following formula:
And we can find the standard error with the following formula:
So then the best option on this case is given by:
E) .0863
Answer:
π/10
Step-by-step explanation:
When we rotate the region about the y-axis, we get something that looks like a volcano, or a bundt cake. Instead of slicing this into flat washers, we'll slice it in concentric rings, or "shells".
Each shell has a radius x, a thickness dx, and a height y. The volume of an individual shell is:
dV = 2π r h t
dV = 2π x y dx
Since y = x² − x³:
dV = 2π x (x² − x³) dx
dV = 2π (x³ − x⁴) dx
The total volume is the sum of all the shells from x=0 to x=1.
V = ∫ dV
V = ∫₀¹ 2π (x³ − x⁴) dx
V = 2π (¼ x⁴ − ⅕ x⁵) |₀¹
V = 2π (¼ − ⅕)
V = π/10
