Answer:
x = 9
Step-by-step explanation:
1/2(6x - 10) + 10 = 5x - 13
3x - 5 + 10 = 5x - 13
3x + 5 = 5x - 13
3x + 18 = 5x
18 = 2x
x = 9
Answer:
a=8
c=5.5
Step-by-step explanation:
solve simultaneously:
2a + 4c = 38.00
3a + 3c = 40.50
times the first eq. by 3 and the second by 2
6a + 12c = 114
6a +6c = 81
subtract from one another
6a + 12c = 114
-6a +6c = 81
6c = 33
c=5.5
3a + 3x5.5 = 40.50
3a= 24
a=8
Answer:
Out of 80 questions Andrew did 76 questions correctly.
Step-by-step explanation:
Total number of questions is 80.
It is given that he got 95% on the test. It means he answered 95% of the total questions correctly.
First we have to calculate 95% of 80.

The 95% of 80 is 76. So, 76 answers are correct.
Therefore out of 80 Andrew did 76 questions correctly.
Answer:
Explained below.
Step-by-step explanation:
The human resource department at a certain company wants to conduct a survey regarding worker morale. The department has an alphabetical list of all 4,502 employees at the company and wants to conduct a systematic sample of size 50.
Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval.
(a)
A sample of size 50.
Then the value of <em>k</em> will be: 
Thus, the value of <em>k</em> is 90.
(b)
Label the employees from 1 to 4502.
And select every 90th employee.
So, the individuals who will be administered the survey are:
90th, 180th, 270th,...