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: The answer would be C
Step-by-step explanation:
37 + 5 = 42
Each teacher needs 8 and there are 5 teachers
5 x 8 = 40
So each teacher can have 8 apples and there will be two left over
Answer:
(0,20)
Step-by-step explanation:
1) we can represent the situation as coordinates
lets have # of texts be "x" variable
lets have bill be "y" as the y variable is always the dependant variable and the cost of the phone bill is dependant upon the number of texts so
y=mx+b-slope-intercept form
coordinates: (50,25) and (100,30)
slope: (30-25)/(100-50)
5/50=1/10
hence slope=1/10
y=1/10x+b
substitute in a coordinate pair into this equation
25=50*1/10+b
25=5+b
b=20
hence y intercept is (0,20)
Recall your d = rt, distance = rate * time
so... one train goes west and the goes the opposite way... alrite... so... notice, by the time 338 miles have been covered by both, it will have been "t" hours, and whatever "t" is, is the same amount of time the westbound train has been running as well as the eastbound train has been running.
now, let's say, since by "t" hours they've covered 338 altogether, so, if the westbound train has covered say "d" miles, then the eastbound train would have covered the slack from 338 and d, that is, "338 - d".
so, 2hours and 36 minutes.
Eight more than the product of two and a number x
8+2x <== in mathematical form
Eight more= 8+
Product= multiply
number=x
~'Manda
