Answer:
The triangle is a right triangle.
Step-by-step explanation:
Since The Pythagorean Theorem only works on right triangles, we can use this knowledge to prove whether this triangle is right:

Therefore, the triangle is right.
Answer:
The 80% confidence interval for the population proportion of oil tankers that have spills each month is (0.199, 0.257).
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
.
Suppose a sample of 333 tankers is drawn. Of these ships, 257 did not have spills.
333 - 257 = 76 have spills.
This means that
80% 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 80% confidence interval for the population proportion of oil tankers that have spills each month is (0.199, 0.257).
Y=5x
Explanation:
You would take two points and use the slope formula
Y2-y1/x2-x1
So I took the points (0,0) and (1,5)
5-0/1-0
5/1
5= the slope
So now we know y=5x+b and since it shows us on the graph where the line crosses the y axis we know the y intercept will be zero because it crosses at 0. When the y-intercept is 0 we don’t even need to list it.