Answer:
Number of juice boxes people drank at Williams party = 91
Step-by-step explanation:
Total juice boxes Williams bought = 114
Juice boxes left over at the party = 23
How many juice boxes did people drink at William's party?
Number of juice boxes people drank at Williams party = Total juice boxes Williams bought - Juice boxes left over at the party
= 114 - 23
= 91
Number of juice boxes people drank at Williams party = 91
Answer:
95% Confidence interval for the variance:

95% Confidence interval for the standard deviation:

Step-by-step explanation:
We have to calculate a 95% confidence interval for the standard deviation σ and the variance σ².
The sample, of size n=8, has a standard deviation of s=2.89 miles.
Then, the variance of the sample is

The confidence interval for the variance is:

The critical values for the Chi-square distribution for a 95% confidence (α=0.05) interval are:

Then, the confidence interval can be calculated as:

If we calculate the square root for each bound we will have the confidence interval for the standard deviation:

Answer:
The answer is 4.
Step-by-step explanation:
Vertical Angles are congruent.
You plug in 4 for x and you multiply the two to get you 112.
112-2=110, making the two angles the same angle measure.
Hope this helps :)
Answer:
10 feet
Step-by-step explanation:
BC = CD*tan(30 ) = 5
AC = CD*tan(60) = 15
=> AB = AC-BC = 10