Answer:
Looking for four values or answers
(A) 5.05
(B) 13
(C) $254,140.33
(D) $254,145.38
Step-by-step explanation:
(A) The value of the margin of error.
Using a 90% confidence level or 0.10 alpha level,
1 - alpha = 1 - 0.10 = 0.90
The degrees of freedom = n - 1 = 14 - 1 = 13
Using the t table, 0.90 under 13 is 1.350
Sample size divided by √n is equal to
14/√14 = 3.742
1.35 × 3.742 = 5.05
(B) 13 degrees of freedom
(C) To find the lower and upper limits, you find the mean value first and then subtract / add to half of the margin of error which is 5.05÷2 = 2.525
Adding the 14 values together, you have $3,558,000
Dividing by 14 to get the mean;
Mean = $254,142.8571
Lower Limit: $254,140.33
Upper Limit: $254,145.38
Answer:
1.32% of students have the chance to attend the charter school.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
This year the mean on the entrance exam was an 82 with a standard deviation of 4.5.
This means that 
a.What is the percentage of students who have the chance to attend the charter school?
Students who achieve a score of 92 or greater are admitted, which means that the proportion is 1 subtracted by the pvalue of Z when X = 92. So



has a pvalue of 0.9868
1 - 0.9868 = 0.0132
0.0132*100% = 1.32%
1.32% of students have the chance to attend the charter school.
Answer:
Mrs. Cook has to grade 63 tests.
Step-by-step explanation:
In order to find the answer, first you have to calculate 80% of the number of tests Ms. Morris has:
35*80%= 28
Then, you have to add the number that represents 80% to the number of tests Ms. Morris has to grade:
35+28=63
According to this, the answer is that Mrs. Cook has to grade 63 tests.
Answer:
28
Step-by-step explanation:
12+[(15-5)]+(9-3)]
PEMDAS
Parentheses first
12+[(10)]+(6)]
Then add
12+10+6