Answer:
See explanation below.
Step-by-step explanation:
The average is measure of central tendency that is also called sample mean and is calculated from the following formula:

This is an estimator of the population mean and is unbiased since the expected value for the estimator is the same parameter as we can see here:

And is important because is the most common measure of central tendency reported on any study.
Is important to remember that this measure can be affected by outliers , for this case when we have outliers is better use the median as a measure of central tendency
Answer:
if he uses 1/2 for 2/3, then you can divide 2/3 and 1.2 by 2 to get the remaining soap needed to complete the wash
so to clean the last 1/3 of the car, he`ll use 1/4 of the remaining soap
the entire car needs <u><em>3/4 of a bottle of soap</em></u>
Answer:
Major
%
_________________________________________
Accounting 240 (240/800)*100=30%
Finance 160 (160/800)*100=20%
Management 320 (320/800)*100=40%
Marketing 80 (80/800)*100= 10%
_________________________________________
Total 800 100%
Step-by-step explanation:
For this case we can create the following table calculating the percent frequency as:
Where
represent the number of students for the i category and n the total sample size.
Major
%
_________________________________________
Accounting 240 (240/800)*100=30%
Finance 160 (160/800)*100=20%
Management 320 (320/800)*100=40%
Marketing 80 (80/800)*100= 10%
_________________________________________
Total 800 100%
The pie chart is on the figure attached. We use excel to create it.
Answer:
The quotient is 3x - 11 + 60/(x + 5) ⇒ 2nd answer
Step-by-step explanation:
* We will use the long division to solve the problem
- The dividend is 3x² + 4x + 5
- The divisor is x + 5
- The quotient is the answer of the division
- If the divisor not a factor of a dividend, the quotient has
a remainder
* Lets solve the problem
- At first divide the first term in the dividend by the first term in
the divisor
∵ 3x² ÷ x = 3x
- Multiply the divisor by 3x
∴ 3x (x + 5) = 3x² + 15x
-Subtract this expression from the dividend
∴ 3x² + 4x + 5 - (3x² + 15x) = 3x² + 4x + 5 - 3x² - 15x = -11x + 5
- Divide the first term -11x in the new dividend by the first
term x in the divisor
∴ -11x ÷ x = -11
- Multiply the divisor by -11
∴ -11(x + 5) = -11x - 55
-Subtract this expression from the new dividend
∴ -11x + 5 - (-11x - 55) = -11x + 5 + 11x + 55 = 60
∴ The quotient is 3x - 11 with remainder = 60
* The quotient is 3x - 11 + 60/(x + 5)
Answer:
3 : 4 : 7
Step-by-step explanation:
apple juice - 2/7 = 4/14
orange juice - 1/2 = 7/14
AJ + OJ = 11/14
this means that 3/14 of the punch is cranberry juice.
cranberry : apple : orange
3 : 4 : 7