Answer:
μ= 65 inches; σ= 0.625 inch
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed(bell-shaped) 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.
In this problem, we have that:

By the central limit theorem, the sample of 16 will have:

So the correct answer is:
μ= 65 inches; σ= 0.625 inch
Questions (contd)
(a) For what amount of driving do the two plans cost the same?
(b) What is the cost when the two plans cost the same?
Answer:
(a) 100 miles
(b) $65
Step-by-step explanation:
Given
Plan 1:

per mile
Plan 2:

per mile
Solving (a): Number of miles when both plans are equal
Represent the distance with x and the cost with y
So:
Plan 1:

Plan 2:

To solve (a), we equate both plans together; i.e.


Collect Like Terms


Solve for x


Hence, 100 mile would cost both plans the same
Solving (b): Cost when both plans are the same:
In this case, we simply substitute 100 for x in any of the y equation.




<em>Hence, the amount is $65</em>
Answer:
19,23
Step-by-step explanation:
9+x-7≥ 21
Combine like terms
2+x≥21
Subtract 2 from each side
2+x-2 ≥21-2
x≥19
Any number greater than or equal to 19
Answer:
D=(-3,3)
E=(5,0)
F=(2,-2)
Step-by-step explanation:
The coordinates are stated as =(x,y)