Answer:

see the explanation
Step-by-step explanation:
Let
x ----> the number of years since 2008,
g(x) ----> the percent of people 25 years and older who have completed at least high school
we know that

so
For x=15 years since 2008
substitute

That means
In the year 2023 (2008+15) the percent of people 25 and older completing at least high school will be 93.8%
Answer:
179
Step-by-step explanation:
The total number of animals in the river was 632.
A herd of 187 elephants and 266 zebras left the river area.
Adding them up, the total number of animals that left the river area is:
187 + 266 = 453
Therefore, the total number of animals left at the river area is the subtraction for the animals that left the river area from the number of animals that were there initially:
632 - 453 = 179
First of all get a picture of what this looks like. Desmos is a pretty good graphing program, but anything that will do polar coordinates will work.
Here is the graph.
What you can see is that this graph is symmetrical around the x axis.
When you talk about symmetry, you can think of it as taking a mirror and putting it where you think there is symmetry. If you can't tell the difference between the image and the real thing, then you have symmetry.
In this case, the mirror will show symmetry along the x axis and no where else.
So to solve it the equation is a squared plus b squared = c squared. So you square a and b. Then do the square root of that and should get c. C is always the largest side. C is opposite from a 90 degree angle . Hope this helps you answer your question.
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).