Answer:
B (0.312, 0.364)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence interval
, 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:
1289 randomly selected American adults responded to this question. This means that
.
Of the respondents, 436 replied that America is doing about the right amount. This means that
.
Determine a 95% confidence interval for the proportion of all the registered voters who will vote for the Republican Party.
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 is:
B (0.312, 0.364)
1) 2x+3 = 5
-3 -3
2x =2
x=1
2) -x + 8 = 5
-8 -8
-x = -3
X=3
Answer:
2) Yes it is
Step-by-step explanation:
One is just cutting the same peices into smaller ones. This does not change the result!
We are given

we know that

so, we get
opposite =7
adjacent=24
now, we can find hypotenuse


now, we can draw triangle and then switch vertices accordingly
we can find cos(B) using second triangle

In second triangle:
adjacent=7
hypotenuse =25
so, we get
................Answer
A. Alyssa did not get an A on the math test but rather a B- due to only getting 16 out of the 20 problems right. This can be found out by dividing the amount correct over the total amount of problems.
B. In order for Alyssa to get an A or 90% on her math test she would have had to get two more questions right to have a score of 18 out of 20.
C. In order to figure this question out you have to think that with every incorrect answer that Jessie answered she got three correct along with the one incorrect. By going with that information it can be figured that Jessie's score is 15 correct answers and 5 incorrect information if you go by the ratio 3:1 then go up tell the sides equal up to a total of 20 after being added. So Jessie's score again was 15 out of 20.