Answer:
4%is the answer you are looking for
Answer:
what are the options?
Step-by-step explanation:
Answer:
Exactly 16%.
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.
The mean of a certain set of measurements is 27 with a standard deviation of 14.
This means that 
The proportion of measurements that is less than 13 is
This is the p-value of Z when X = 13, so:

has a p-value of 0.16, and thus, the probability is: Exactly 16%.
Answer:
k ≈ 1.88
Step-by-step explanation:
In order for the function to be continuous, the pieces of the function must have the same value at x=3. That is ...
f(3) = 3(3) +k = k(3^2) -6
15 = 8k . . . . . add 6-k, simplify
k = 15/8 = 1.875 ≈ 1.88
To two decimal places, the value of k that makes f(x) continuous at x=3 is 1.88.