Let's say that Sagan's age is x and Orion is x + 6 (since Sagan is younger by 6 years).
We know that Orion's age + Sagan's age is 24, so x + x + 6 is 24
2x = 18
x = 9
That means that Sagan is 9, and Orion is 9+6 or 15.
Answer:
C. 67.5 to 72.
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
.
The width of the interval is determined by it's margin of error, which is given by the following formula:

So, as n increases, the margin of error decreases, and the interval gets smaller.
Using 10,000 bootstrap samples for the distribution:
We increase the sample size, which means that the interval gets smaller.
We had 67 to 73, since it got smaller, it will be from a value higher than 67 to a value lower than 73.
So the correct answer is:
C. 67.5 to 72.
Answer:
A
Step-by-step explanation:
Answer:
Simplifying
3n + 7 = 30
Reorder the terms:
7 + 3n = 30
Solving
7 + 3n = 30
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 3n = 30 + -7
Combine like terms: 7 + -7 = 0
0 + 3n = 30 + -7
3n = 30 + -7
Combine like terms: 30 + -7 = 23
3n = 23
Divide each side by '3'.
n = 7.666666667
Simplifying
n = 7.666666667
Step-by-step explanation: