4x+4y+4z. I was taught to take out what was in each term, in this problem that would be 4: 4(X+y+z). Meaning A) Annie did the problem right :) I hope this helps!
See attachment for answer:
Answer:
The 90% confidence interval for the population mean is (300.78, 315.22).
Step-by-step explanation:
We have to calculate a 90% confidence interval for the mean.
The population standard deviation is know and is σ=17.
The sample mean is M=308.
The sample size is N=15.
As σ is known, the standard error of the mean (σM) is calculated as:
The z-value for a 90% confidence interval is z=1.645.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 90% confidence interval for the population mean is (300.78, 315.22).
Total numbers = 32
We are to select 7 numbers at a time. Selecting 7 numbers from a group of 32 is a combination problem. It is similar to making combination of 32 objects taken 7 at a time.
So total possible combinations of 7 numbers can be calculated as 32C7.
32C7 = 3365856
Only 1 combination can match the randomly selected combination.
So, the probability that he combination of 7 numbers will match the seven randomly selected balls =