Answer:
p = 0.513
Step-by-step explanation:
There are 212 families with exactly 3 children. So in all, there are 212*3 = 636 children.
Of those,
The number of girls is:
81 + 76*2 + 31*3 = 326
That is, 326 girls out of 636 children.
Then
One way to I solve this is by listing all the ways it can be multiplied by:
72: 1*72, 2*36, 3*24, 4*18, 6*12, 8*9.
80: 1*80, 2*40, 4*20, 5*16, 8*10.
Group the factors that they have in common.
Which are 1, 2, 4, and 8.
After that, find the greatest common factor that they both share.
Answer: 8
Answer:
Susan has suggested a correct method to calculate the amount of money
Step-by-step explanation:
Here we must check what each person is calculating. First, we consider Susan's method. She has suggested that we multiply the cost per soda, that is dollars/soda by the number of sodas required, we get the total cost.
Assuming that 18 sodas are required and each costs $0.20, the total cost according to Susan is $3.60.
John suggests we divide the cost of a 12 pack of soda by the number of sodas required. Considering a 12 pack of soda costs $12 and the same amount of sodas, 18, are required, we get that each soda costs $0.66.
Looking at these answers, we see that Susan has suggested a correct method to calculate the amount of money needed to buy a number of sodas. John has suggested the amount each person would have to contribute if everyone at the party was trying to buy a 12-pack of soda; regardless of whether more or less than a 12-pack is required.
Answer:
Answer: The mean increases by 3
Step-by-step explanation:
The original data set is
{50, 76, 78, 79, 79, 80, 81, 82, 82, 83}
The outlier is 50 because it is not near the group of values from 76 to 83 which is where the main cluster is.
The original mean is M = (50+76+78+79+79+80+81+82+82+83)/10 = 77
If we take out the outlier 50, the new mean is N = (76+78+79+79+80+81+82+82+83)/9 = 80
So in summary so far
old mean = M = 77
new mean = N = 80
The difference in values is N-M = 80-77 = 3
So that's why the mean increases by 3
Answer:
P(X<118.81)=0.0803
Step-by-step explanation:
Assuming the distribution for the mean life is approximately normal, with mean 120 months and variance 64 months^2, we can calculate the parameters for a sampling distribution with sample size = 89 computers.
The sampling distribution mean will be equal to the mean for a single computer:
The standard deviation will be adjusted by the sample size as:
With these parameters, we can calculate the z-score for X=118.81.
Then, the probability that the mean of a sample of 89 computers is less than 118.81 months is:
