Answer:
31
Step-by-step explanation:
Answer:
There is sufficient evidence that fuel economy goal has been attained.
Step-by-step explanation:
The hypothesis :
H0 : μ < 30.2
H1 : μ ≥ 30.2
The test statistic :
(xbar - μ) ÷ (s/√(n))
xbar = 32.12 ; s = 4.83 ; n = 50
Test statistic :
(32.12 - 30.2) ÷ (4.83/√(50))
1.92 ÷ 0.6830651
T = 2.811
Using the Pvalue from test statistic calculator :
Since we used the sample standard deviation, we use the T distribution
df = n - 1 = 50 - 1 = 49
Pvalue(2.811, 49) ; one tailed = 0.00354
At α = 0.05
Pvalue < α ; then we reject the null and conclude that there is sufficient evidence that fuel economy goal has been attained
There is no attached picture, but I guess it is like the one I attached.
If so, the first thing is finding the side measure:

Now, radius is half this measure: 15 in.
And circle area is:
Answer:
0.45 = 45% probability that the member uses the golf course but not the tennis courts
Step-by-step explanation:
I am going to solve this question using the events as Venn sets.
I am going to say that:
Event A: Uses the golf courses.
Event B: Uses the tennis courts.
5% use neither of these facilities.
This means that 
75% use the golf course, 50% use the tennis courts
This means, respectively, by:

Probability that a member uses both:
This is
. We have that:

So

What is the probability that the member uses the golf course but not the tennis courts?
This is
, which is given by:

So

0.45 = 45% probability that the member uses the golf course but not the tennis courts