Answer:
The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).
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:

93% 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 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).
Answer:
4:1 or 4/1
Step-by-step explanation:
Original surface area: Each side is 1 * 1 = 1 and there are 6 sides, so 1 * 6 = 6.
New surface area: Each side is 2*2 = 4, and there are 6 sides, so 4 * 6 = 24
The ratio would be 24:6, or 4:1. As a fraction, this would be 4/1
The aswer would be B because you have to divide a couple numbers to get 20in.
Are you able to expand everything first? from there you would be able to combine line terms. basically if you have 3x+2x it would combine to 5x because they have x in them.
Answer:

Step-by-step explanation:
To calculate an area of a rectangle, use the formula A=l*w. We know the width is 7m greater than the length. So w = 7 + x. So the area is A= (7+x)*x.
We also know the area is 170. Substitute this value for A and solve.