Answer:
The formula to find the voltage is:

And the voltage is 4 volts
Step-by-step explanation:
To get the equation of voltage you need to isolate v in one side of the equation. In order to do that, you need to remove the divisor/denominator and its square. How will you do that?
First, multiply both sides with R:

That would result into removing the divisor R from the right side of the equation:

Next, square-root both sides:

That would result in removing the square of v from the right side of the equation:

Thus we get the equation,
.
To find out the voltage, simply replace R with 32 and P with 0.5



Thus, the voltage is 4 volts.
Answer:
1
Step-by-step explanation:
2
Using the z-distribution, we have that:
- The mean hip measurement for the random sample of 15 pairs of women's size 16 jeans is of 44.1 inches.
- The <u>margin of error</u> is of 0.8 in.
- The interpretation is: Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.
The first step to solve this question, before building the confidence interval, is finding the sample mean, which is the <u>sum of all observations divided by the number of observations</u>. Hence:

The margin of error of a z-confidence interval is given by:
In which:
- z is the critical value.
is the population standard deviation.
- n is the sample size.
We have to find the critical value, which is z with a p-value of
, in which
is the confidence level.
In this problem,
, thus, z with a p-value of
, which means that it is z = 2.575.
Then, the margin of error is:



The <u>margin of error</u> is of 0.8 in.
The interval is:



The interpretation is:
Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.
A similar problem is given at brainly.com/question/25300297
The proportion is 1:10. You can get this by dividing both 50 and 500 by 50.
It looks like we're told that



We use the fact that
is linear to find
. First, we notice that

We also have


So once we find
, we can determine
and
. We have

and using this we find


Then

