Answer:
0.13% of customers spend more than 46 minutes
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.
In this problem, we have that:

What percentage of customers spend more than 46 minutes?
This is 1 subtracted by the pvalue of Z when X = 46. So



has a pvalue of 0.9987
1 - 0.9987 = 0.0013
0.13% of customers spend more than 46 minutes
Add all the numbers:
32 + 33 34 + 34 + 36 + 38 + 38 + 38 + 40 + 42 = 365
There are 10 numbers.
Divide:
Total by how many numbers there are
Total = 365
Numbers = 10
365 / 10 = 36.5
The mean is 36.5
Hope this helped☺☺
D
because first you times z and x to get the area and then you multiply that by two added to
h times y divided by two (area of a triangle) times again by two cuz theres two sides
finally add z times y cuz thats the area of the base
and you get 896
Answer:
7x+14=0, 7x=-14, x= -2
Step-by-step explanation:
add like terms, then get x on one side, number on the other, then divide both sides by 7
Answer:
Width = 12 feet
Step-by-step explanation:
Given that,
Area of a rectangle is 168 square feet.
The ratio of the width to the length is 6:7.
Let the length is 7x and width is 6x.
According to question,
Area = 168 sq feet
l×b=168 sq feet
7x × 6x = 168
42x² = 168
x² = 4
x = 2
Length = 7x = 7(2) = 14 feet
Breadth = 6x = 6(2) = 12 feet
So, the width of the rectangle us 12 feet.