Answer:
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Middle 85%.
Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925
Above the interval (8,14)
This means that when Z has a pvalue of 0.075, X = 8. So when 
. So
Also, when X = 14, Z has a pvalue of 0.925, so when 
Replacing in the first equation
Standard deviation:
Answer:
Step-by-step explanation:
it’s the third one
Answer:
D. 5 inches
Step-by-step explanation:
Given:
A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter.
That means complete angle having 360° is divided into 3 section.
The central angle formed by the peach cobbler is 105 degrees.
The central angle formed by the pasta is 203 degrees.
<u>Question asked:</u>
What is the approximate length of the arc of the section containing the peas?
<u>Solution:</u>
The central angle formed by the peas = 360° - 105° - 203°
= 52°
As we know:
Therefore, the approximate length of the arc of the section containing the peas are 5 inches.
Answer:
180 cars
Step-by-step explanation:
Like you can see in the picture, I like to set up a proportion, so 81 over X and 45 over 100. Then, you can cross multiply, so 81 x 100 = 8100 and then divide, 8100 ÷ 45 = 180, your answer!
Answer:
64
Step-by-step explanation:
80 percent *80 =
(80:100)*80 =
(80*80):100 =
6400:100 = 64
Now we have: 80 percent of 80 = 64
hope this helps :)
