Answer:
Quincy read 9 books.
Step-by-step explanation:
Work backwards. Samantha read three less books than Teresa (11-3=8). Ralph read half as many books as Samantha (8/2 = 4). Quincy read five more books than Ralph (4 + 5 = 9).
Answer: 1. 1,906,500
2. 840
Step-by-step explanation:
1. Given: There are 125 juniors at the high school.
Total positions = 3 [president,vice president, and secretary]
Then, Number of ways to elect a president,vice president, and secretary( which is in order) out of 125 juniors =
[Using permutations]

Hence, Required ways =1906500
(2) Given word : "RHOMBUS"
Total letters= 7
By permutation, the umber of 4-letter arrangements = 

Hence, required ways = 840
Answer: 28.08%
Step-by-step explanation: To find the percent increase, we divide the amount of change by the original number.
The amount of change is the difference between the two numbers which in this case is 561,000 - 438,000 and the original number is 438,000.
561,000 - 438,000 is 123,000 so we are left with 123,000 divided by 438,000 which is 0<em>.</em>2808. Finally, since our problem is asking us for a percent, we write 0<em>.</em>2808 as a percent by moving the decimal point two places to the right to get 28.08%.
So when the population changes from 438,000 to 561,000, it has increased by 28.08%.
Answer:
The p value for this case would be given by:
For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %
Step-by-step explanation:
Information given
n=750 represent the random sample taken
estimated proportion of people who thought the economy is getting worse
is the value that we want to verify
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
We want to check if the true proportion of interest is equal to 0.32 or not.:
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Replacing we got:
The p value for this case would be given by:
For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %
Answer:
30 apples
Step-by-step explanation:
600 is the total number of apples (adding all numbers in the apples*frequency column). Dividing this by 20, the number of boxes, we get 30 apples as the mean number in a box.