A 10-foot ladder is leaning against a wall. The base of the ladder is 2 feet from the base of the building. How far up the build
1 answer:
You might be interested in
Answer:
There is a 0.57% probability that a randomly selected nanny who was placed during the last year is a male nanny (a "mannie").
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that:
Desired outcomes:
The number of male nannies selected. 24 of the nannies placed were men. So the number of desired outcomes is 24.
Total outcomes:
The number of nannies selected. 4,176 nannies were placed in a job in a given year. So the number of total outcomes 4176.
Find the probability that a randomly selected nanny who was placed during the last year is a male nanny (a "mannie").
There is a 0.57% probability that a randomly selected nanny who was placed during the last year is a male nanny (a "mannie").
Answer:
721.54
Step-by-step explanation:
We have to convert the 2% given in the statement into a z-score, as follows:
P (X> x) = 2% = 0.02, P (Z> z) = 0.02
thus find z such that:
P (Z <z) = 1 - P (Z> z)
P (Z <z) = 1 - 0.02
P (Z <z) = 0.98
we look for what value of z corresponds to in the normal distribution table and it is 2.06
x = m + z * sd
m is mean and sd standard deviation, replacing:
x = 497 + 2.06 * 109
x = 721.54
721.54 would be the minimum score.
