What is the slope formula in Geometry? This is for my math homework.
2 answers:
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Answer:
Mean = 94
Standard deviation = 1.12
The sampling distribution of the sample mean is going to be normally distributed, beause the size of the samples are 80, which is larger than 30.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, the sample means with size n of at least 30 can be approximated to a normal distribution with mean
and standard deviation, which is also called standard error
In this problem, we have that:
By the Central Limit Theorem
The sampling distribution of the sample mean is going to be normally distributed, beause the size of the samples are 80, which is larger than 30.
Mean = 94
Standard deviation:
Answer:
120
Step-by-step explanation:
We are given that the function for the number of students enrolled in a new course is .
It is asked to find the average increase in the number of students enrolled per hour between 2 to 4 hours.
We know that the average rate of change is given by,
,
where f(x)-f(a) is the change in the function as the input value (x-a) changes.
Now, the number of students enrolled at 4 = f(4) = = 255 and the number of students enrolled at 2 = f(2) =
= 15
So, the average increase =
=
= 120.
Hence, the average increase in the number of students enrolled is 120.