Using the mean concept, it is found that the value of the number that was removed was of 4.
<h3>What is the mean?</h3>
The mean of a data-set is given by the <u>sum of all observations in the data-set divided by the number of observations</u>.
The mean of five numbers is 8, hence, the sum of the numbers is given by:
S = 5 x 8 = 40.
If one of the five numbers is removed, the mean becomes 9, hence, the sum of the four numbers is given by:
S = 4 x 9 = 36.
The difference is:
40 - 36 = 4.
Hence, the value of the number that was removed was of 4.
More can be learned about the mean concept at brainly.com/question/25122507
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Answer:
1) y = 5/2x - 3/2
2) y = 2/5x - 4/5
Step-by-step explanation:
1)
(1, 1) and (3, 6)
m = (y2 - y1)/(x2 - x1)
m= (6 - 1)/(3-1)
m= 5/2
m= 5/2
y - y1 = m(x - x1)
y - 1 = 5/2(x - 1)
y - 1 = 5/2x - 5/2
y = 5/2x - 3/2
2)
(2, 0) and (7, 2)
m = (y2 - y1)/(x2 - x1)
m= (2 - 0)/(7 - 2)
m = 2/5
y - y1 = m(x - x1)
y - 0 = 2/5(x - 2)
y = 2/5x - 4/5
Answer:
i
Step-by-step explanation:
Answer:
The amount of change she received is
$16.1
Step-by-step explanation:
1.what is asked in the problem?
We are to find how much change she received
what are the given facts?
She bought:
notebook which cost 23.75; a set of colored pens which cost 36.20 and a liquid eraser which cost 23.95
She gave the cashier $100
2.what operation to be used to solve the problem ?
Addition and Subtraction operation
3.solve
= $100 - ($23.75 + $36.20 + $23.95)
= $100 - $83.9
= $16.1
The amount of change she received is
$16.1
Answer:
-1960
Step-by-step explanation:
The expression on the left expands to ...
(4x -7)² = (4x)² +2(4x)(-7) +(-7)² = 16x² -56x +49
Matching coefficients, you have ...
Then the expression c(b+a) evaluates to ...
49(-56+16) = 49(-40) = -1960