Answer:
The margin of error for the confidence interval for the population mean with a 98% confidence level is 2.88 miles per hour.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
Find the margin of error for the confidence interval for the population mean with a 98% confidence level.

The margin of error for the confidence interval for the population mean with a 98% confidence level is 2.88 miles per hour.
<h2>
Option C is the correct answer,</h2>
Step-by-step explanation:
The distance of planet Jupiter from the Sun is approximately 7.8 x 10⁸ kilometers.
Distance from Jupiter to Sun = 7.8 x 10⁸ kilometers
The distance of planet Saturn from the Sun is 1.5 x 10⁹ kilometers.
Distance from Saturn to Sun = 1.5 x 10⁹ kilometers
Difference in distances = 1.5 x 10⁹ - 7.8 x 10⁸ = 15 x 10⁸ - 7.8 x 10⁸
Difference in distances = 7.2 x 10⁸ kilometers
Option C is the correct answer,
Answer: x=5.75
Step-by-step explanation:
4x+5=28
subtract 5 from both sides
4x=23
divide both sides by 4
x=5.75
Answer: 14 miles
Step-by-step explanation:
In the attached figure we can see the two segments the man drove, where the
is the distance of a road that goes from the man's home directly to his work.
It should be noted that
is also the hypotenuse of the righ triangle formed. Hence, we can use the Pithagorean theorem to find this distance:

Then:
