Answer:
22.470
Step-by-step explanation:
In this example you have to use the trigonometric function sine which is defined as
Plug in known values:

Multiply both sides by 25

Approximate sin(64) using a calculator:

Simplify

Answer:
y-intecept: (0,14), x-intercept: (-8,0)
Step-by-step explanation:
Let us first solve for the y-intercept, solve the equation for y to set it to slope-intercept form.

Now we have our y-intercept, 14
To solve for the x-intercept, all we have to do is set y to 0 and solve for x:

Therefore our x-intercept is -8.
To find the vector (x and y value) of the x intercept, we set the y value equal to 0, such as the vector of the x-intercept is equal to (-8,0).
For the y-intercept we follow a similar approach setting the x-value equal to 0, making it (0,14)
Answer:
The margin of error is 0.0206 = 2.06 percentage points.
The 95% confidence interval for the proportion of all student athletes in this country have been subjected to some form of hazing is (0.6794, 0.7206).
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 margin of error is:
The margin of error is 0.0206 = 2.06 percentage points.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the proportion of all student athletes in this country have been subjected to some form of hazing is (0.6794, 0.7206).