Answer:
720
Step-by-step explanation:
If every person has to choose a different character, the first person to choose a character has 6 options, the second has 5, the third has 4, the fourth has 3, and the last person has only two options. Therefore, the total number of ways you can do this if all 5 people dress up as a different character is:

There are 720 ways.
Answer:
Step-by-step explanation:
The smaller/closer the difference between observed and expected frequencies, the higher the probability of concluding that the probabilities specified in the null hypothesis are correct concluding that the data fits that particular distribution given.
First let's find how much is 15% of 8500 voters.
To do that, we can multiply 15 by 8500 and then divide by 100.
Work: 15 x 8500 = 127500
127500/100 = 1275
Therefore 15 percent of 8500 is 1275.
Then, we subtract 1275 from 8500 to find the amount of people who did vote.
8500 - 1275 = 7,225
Thus, 7,225 people voted while 1,275 people did not.
Answer:
The 95% confidence interval for the average number of years until the first major repair is (3.1, 3.5).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for the average using the finite correction factor is:

The information provided is:

The critical value of <em>z</em> for 95% confidence level is,
<em>z</em> = 1.96
Compute the 95% confidence interval for the average number of years until the first major repair as follows:


Thus, the 95% confidence interval for the average number of years until the first major repair is (3.1, 3.5).
7/8+(−2/3) divided by 5/6
(7/8 - 2/3)/(5/6)
=(21/24 - 16/24) / (5/6)
= (5/24) / (5/6)
= 5/24 * 6/5
= 6/24
= 1/4