Answer:
D
Step-by-step explanation:
There are 4 queens out of 52 cards in a deck. Therefore, if each card has the same probability of getting chosen, you have a 4/52 = 0.077 chance of drawing a queen because there are (4 favorable outcomes/queens) / (52 total outcomes)
Answer:
The standard error of the mean is 4.5.
Step-by-step explanation:
As we don't know the standard deviation of the population, we can estimate the standard error of the mean from the standard deviation of the sample as:

The sample is [30mins, 40 mins, 60 mins, 80 mins, 20 mins, 85 mins]. The size of the sample is n=6.
The mean of the sample is:

The standard deviation of the sample is calculated as:

Then, we can calculate the standard error of the mean as:

From the given figure

Since XY = 5.1 and XZ = 7.7, then

To find x, use the inverse of cos

Use the calculator to find x

The answer is
F^1(-2) = 2(-2) = -4
f(-4) = 1/2 * -4 = -2
f(f^-1(x)) = x so answer is -2