Answer:
23.45
Step-by-step explanation:
35 percent of 67=23.45
35×67=2345
2345/100=23.45
Answer:
5/12
Step-by-step explanation:
Hello, I am no math expert so take this with a grain of salt. Tan=Opposite/Adjacent. Side ON is opposite and side MN is Adjacent. This would mean that the ration would be 5/12. I hope that helped!
Answer:
b. 1.15
Step-by-step explanation:
The z statistics is given by:

In which X is the found proportion, p is the expected proportion, and s, which is the standard error is 
Out of 53 teachers who replied to the survey, 13 claim they are satisfied with their job.
This means that 
She find that the proportion of satisfied teachers nationally is 18.4%.
This means that 
Standard error:
p = 0.184, n = 53.
So

Z-statistic:



The correct answer is:
b. 1.15
<span>So there
are 33 boys who tried out for track. And this is 27.5 % of the total boys. And there
15% of the girls who tried out for the track. And in total 22.5 % of the total
population tried out for track</span>
Answer:
The 95% confidence interval on the true proportion of helmets of this type that would show damage from this test is (0.169, 0.397).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
For this problem, we have that:

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval on the true proportion of helmets of this type that would show damage from this test is (0.169, 0.397).