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:
4
Step-by-step explanation:
4b + 5 = 1 + 5b
4 = 1b
4 = b
Answer:
The answer is3
Step-by-step explanation:
because there is three colors
The real engine is 65.25 feet long
<h3>How to determine the length?</h3>
The scale is given as:
Scale = 87 feet to 1 foot
The scale length is given as
Scale length = 9 inches
Convert inches to feet
Scale length = 9/12 feet
The actual length is then calculated as:
Actual = 87 * 9/12 feet
Evaluate
Actual = 65.25 feet
Hence, the real engine is 65.25 feet long
Read more about scale ratios at:
brainly.com/question/16192120
#SPJ1
Volume of a pyramid is (L * w * h) / 3
L=10 and w=10
h can be found by using the Pythagorean theorem:
divide the base by 2 and we get 5. Then we have that the hypotenuse is 13 and the bottom of the right triangle we formed is 5. a= sqrt(c^2-b^2)
a=h=12
we plug these numbers into the formula for the volume of a pyramid and get:
400