(3) is the base of the new equation
(x + 5) is the answer of the new equation
(2) is the exponent on base (3)
;The new equation after simplifying is...,
; 3^2 = x + 5
; 9 = x + 5
; x = 9 - 5
;Hence...x = 4
Answer:

Step-by-step explanation:
(a + b) * (
) =
= 
Answer:
18/28, or percentage wise, approximately 64.2%
Step-by-step explanation:
Take the seniors and divide it by the total # of students, and you got your probability!
The z score for a confidence level of 99% is 2.575.. You need to know this to complete this type of problem.. the other two commonly used confidence levels are 90% and 95% having z scores of 1.645 and 1.96 respectively. You need to memorize this!
To find the confidence interval, it will be defined as the sample mean plus/minus the margin of error.. Now to find the margin of error, divide the standard deviation of 12 by the square root of the number of elements in your sample(√250). Then take that result and multiply it by the Z score I mentioned above for a 99% confidence level.
In this case: the sample mean is 70 and the margin of error is approximately 1.95
So to calculate the confidence interval, do the following:
70 - 1.95 = 68.05 rounded to the nearest whole number is 68
70 + 1.95 = 71.95 rounded to the nearest whole number is 72
Looks like that would be the last choice. hope this helps.. it's been awhile since my work with statistics :-)
Answer:
Since radical 45 is equal to radical 9 times radical 5, and because radical 9 is equal to 3 (since 9 is a perfect square), we can simplify radical 45 to 3 times radical 5