Answer:
The margin of error of u is of 3.8.
The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 28 - 1 = 27
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.7707
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The margin of error of u is of 3.8.
The lower end of the interval is the sample mean subtracted by M. So it is 31.2 - 3.8 = 27.4 minutes
The upper end of the interval is the sample mean added to M. So it is 31.2 + 3.8 = 35 minutes
The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.
Answer:
50% of 1/3: 1/2 x 1/3 = 1/6
75% of 1/2: 3/4 x 1/2 = 3/8
Step-by-step explanation:
50% = 1/2
50% of 1/3: 1/2 x 1/3 = 1/6
75% of 1/2: 3/4 x 1/2 = 3/8
Start with the first sentence, and the definition of the area of a rectangle:
l * w = 36
Rewrite the equation to get
l = 36 / w
or
w = 36 / l
Either one shows the inverse relationship between w and l.
Assuming the last part wants you to write an equation for an x-y graph, the equation would be
y = 36 / x
Answer:
600 m
Step-by-step explanation:
You know that she walks 1 meter in 1 second, but they're asking about minutes. Since 60 seconds are in 1 minute, it means she was 60 meters in 1 minute. Then multiply that by 10 (10 minutes).
She walked 600 meters, in 10 minutes.
I hope this helped!
The coefficient C-term is 1 in problem. The coefficient is the number before the variable of said equation. Example, the coefficient of X for thus problem 4x-4y is 4 the number BEFORE the variable, never variable itself it won’t ever be 4x