Answer:
0.0475 = 4.75% probability that a randomly selected complaint takes more than 15 minutes to be settled.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 10 minutes and a standard deviation of 3 minutes
This means that 
Find the probability that a randomly selected complaint takes more than 15 minutes to be settled.
This is 1 subtracted by the p-value of Z when X = 15, so:



has a p-value of 0.9525.
1 - 0.9525 = 0.0475.
0.0475 = 4.75% probability that a randomly selected complaint takes more than 15 minutes to be settled.
Answer:37.45hStep-by-step explanation:
you do 0.07 times 35 which gives you 2.45 then you carry the h over and add that to 35 which gives you 37.45h
We have a geometric sequence----------- > <span>{-4, 12, -36, ...}
</span><span>
the formula is a(r)^(n-1)
a------------- >a is the first term------------ > -4
r--------------- > </span><span>is the common ratio------- > 12/(-4)=(-36/12)=-3
n--------------- > is the number of terms
</span>The fifth term is -4[(-3)^(5-1)]=-4[(81]=-324
the answer is -324