The average sales per customer at a home improvement store during the past year is $75 with a standard deviation of $12. The probability that the average sales per customer from a sample of 36 customers, taken at random from this population, exceeds $78 is:
Answers
The probability that the average sales per customer from a sample of 36 customers, taken at random from this population, exceeds $78 is 0.0668.
Calculation of the probability:
Since The average sales per customer at a home improvement store during the past year is $75 with a standard deviation of $12.
Here we need to find out the z score
=
= 1.5
Here we considered normal distribution table, we obtain the area that corresponds to 0.25 to be 0.9332
So, the average is less or equal to 78.
Now
Subtract from 1 to get the complement.
So,
P(x>78)=1-0.9332
=0.0668
Learn more about probability here: brainly.com/question/24613748
Answer:
0.0668
Step-by-step explanation:
Assuming the distribution is normally distributed with a mean of $75,
with a standard deviation of $12.
We can find the z-score of 78 using;
Using our normal distribution table, we obtain the area that corresponds to 0.25 to be 0.9332
This is the area corresponding to the probability that, the average is less or equal to 78.
Subtract from 1 to get the complement.
P(x>78)=1-0.9332=0.0668
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P(Larger or blue) = 7/10. In a bag we have blue and red marbels, which are large and small as in the table shown in the image, the probability of taking a large or blue marble is 7/10.
The key to solve this problem is find the probability of the union events using the equation P(A∪B) = P(A) + P(B) - P(A∩B).
For this problem we have P(Large or Blue) = P(Large) + P(Blue) - P(Large and Blue). The total of the large ones is 25 and the small ones is 15, meaning that the sum of both is 40. P(large) = 25/40, P(Blue) 20/40, and P(Large and Blue) = 17/40
P(Large or Blue) = 25/40 + 20/40 - 17/40 = 28/40 dividing by 4 both terms of the fraction.
P(large or Blue) = 7/10
Answers
Answer:
1.60×10^-12 m^2
Step-by-step explanation:
The prefix μ stands for "micro-", which means 10^-6. So, 1 micro-meter is ...
1 μm = 10^-6 m
A square micrometer is then ...
(1 μm)^2 = (10^-6 m)^2 = 10^-12 m^2
1.6 of them is ...
1.6 μm^2 = 1.6×10^-12 m^2
1
4
gallon for every
mile
10
The unit rate is
gallon :
mile.
Answers
Answer:
22/40
Step-by-step explanation:
find the equivalent ratio of 4 and 10 and it is 40 so the then you multiply 4 times 10 and 10 times 4 then you multiply 1x10 and 10x4 so now your new problem will be
10/40+12/40 which is 22/40=1 8/15
Answers
Answer:
The first equation.
Step-by-step explanation:
Answer:
m = -12.50, b = 1,500; The first option.
Step-by-step explanation:
To figure out the slope I used the equation, y1 - y2 / x1 - x2, to get the answer -12.50.
For the y-intercept ( b ), I just looked at the data table and where there was a zero in the X side of the Y there would be the, b, or y-intercept.
please help
Answers
Answer:
Its c
Step-by-step explanation:
i took the test
Answers
Answer:
area = 108 cm^2
Step-by-step explanation:
area = Pi(r^2)
using Pi = 3
r = D/2 = 12/2 = 6
area = 3(6^2) = 3(36) = 108 cm^2