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:
The solution to the given system of equations is (-2,
)
Therefore the values of x and y are x=-2 and 
Step-by-step explanation:
Given equations can be written as

Solving equation(2) we get
x=-2
Substitute x=-2 in equation (1) we get




Therefore the values of x and y are x=-2 and 
The solution to the given system of equations is (-2,
)
Answer:
Fastest to slowest = 6.08 > 6.4 > 6.72 > 6.75 > 7.03
Step-by-step explanation:
The person who completes the 50-meter race within the shortest possible time is the fastest sprinter. Here, the third sprinter crossed the line in 6.08 seconds, whereas the 4th sprinter crossed the line in 7.03 seconds. That is why the third sprinter has won the race, and he becomes the fastest. On the contrary, the fourth person takes the most time to complete the race, meaning he is the slowest.
<u>Answer</u>
Part 1:
Total number of liters of orange juice = 0.8x
Total number of liters of water = 0.2x
Part 2: The variable x represent the amount of full capacity of the container.
<u>Explanation</u>
Let x be the volume of the container.
Total number of orange juice = 80% of x
= 80/100 × x
= 0.8 × x
= 0.8x liters
If 80% of the container has orange juice the water will be =(100 - 80)%
= 20%
The total number of liters of water = 20% of x
= 20/100 × x
= 0.2 × x
= 0.2x liters.
X ⇒The variable represent the total volume of the container. That is the full capacity of the container.