120% of 75 is 90
Working out percentages
<span><span>Write 120% as 120/100
</span><span>Multiply with 75
120/100×75 = 90</span></span>
Answer:
The expected value of one draw is the average value of these 10 slips of paper which is:
24 / 10 = 2.4
Step-by-step explanation:
We have a bag with 10 slips of paper in it. 8 slips of paper each has a 2 on them; 2 slips of paper each has a 4 on them.
The total value of all the slips when added together is:
= (8)(2) + (2)(4)
= 16 + 8 = 24
The expected value of one draw is the average value of these 10 slips of paper which is:
24 / 10 = 2.4 ....
Answer:
y = 392x + 6350
Step-by-step explanation:
Here, we calculate the average rate of change in the number of muffins sold between the two years
Mathematically that will be the difference in number of muffins divided by the number of years
We have this as;
(8310-6350)/(2015-2010)
= 392
an average of 392 muffins were sold in a year
The general form of the equation of a straight line is;
y = mx + c
we have m as 392
so;
y = 392x + c
To get c, we make a substitution
2015 is 5 years after 2010, so x will be 5 and y will still be 8310
so;
8310 = 392(5) + c
c = 8310 - 2960
c = 6350
So the equation is;
y = 392x + 6350
Answer:
y = 3x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (2, 2) ← 2 points on the line
m =
=
= 3
Note the line crosses the y- axis at (0, - 4) ⇒ c = - 4
y = 3x - 4 ← equation of line
Answer:
5
Step-by-step explanation:
in similar figures the side lengths must be proportional:
4/8 = x/10 cross multiply fractions
40 = 8x divide both sides by 8
5 = x