The mean of the frequency distribution is 6.0 .
In mathematics and statistics, the arithmetic mean or arithmetic average is referred to as the sum of a set of numbers divided by the total number of numbers in the set.
The formula to calculate mean is,
Mean = sum of all observations / total number of observations
x = 4 5 6 7 8
f = 12 1 8 18 4
∑f = 12 + 1 + 8 + 18 + 4 = 43
fx = 48 5 48 126 32
∑fx = 48 + 5 + 48 + 126 + 32 = 259
Mean = ∑fx / ∑f
Mean = 259 / 43
Mean = 6.02
Mean = 6.0 ( After Round Off )
So, we can conclude that the mean of the frequency distribution is 6.0 .
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4 cm squared because you count the whole shaded squares and add up the halves.
In this case, x is the amount more he needs to save per month
350=12(x+20)
distribute
350=12x+240
minus 240 both sides
110=12x
divide both sides by 12
9.166666=x
needs to save about $9.17 more per month or 29.17 permonth
So from the blue triangle to the green triangle, we can see that the green triangle is smaller, therefore eliminating options A and B.
Now to find the scale factor, use one of the sides of both triangles. In this case, I'll be using the bases of both. The blue triangle's base is 10, while the green is 5.
Using this info, we can make the fraction , which can be further simplified to . This is the scale factor.
In short, the answer is the last option.