Answer:
(e) the mean number of siblings for a large number of students has a distribution that is close to Normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
By the Central Limit Theorem
The sampling distributions with a large number of students(at least 30) will be approximately normal, so the correct answer is given by option e.
The reflection of f(x)=sqrt(x) over x-axis will be represented by option a. This is because it is the reflection of the imaginary part of the function f(x)= sqrt(x). Hence the correct answer is a.
The probability of John making the first and missing the second is:
Answer:
9.90 inches
Step-by-step explanation:
Area of a triangle is equal to base times height divided by 2.

Base and height is x.

Solve for x.




Answer:
(A)
Step-by-step explanation:
Point A is at (-2,4)
Rule of a 180° rotation about the origin: (x,y) --> (-x,-y)
Using the rule, (-2,4) will become (2,-4).
A' should be (2,-4) or Option A.