2,5, 6, 8, 14
Answer:
4.
Step-by-step explanation:
First work out the mean:
Mean = (2 + 5 + 6 + 8 + 14) / 5
= 35/5 = 7.
Now subtract the mean form each of the values:
2 - 7 = -5
5 - 7 = -2
6 - 7 = -1
8 - 7 = 1
7 - 14 = -7.
The squares of these are 25, 4, 1, 1, 49
Their sum = 25 + 4 + 1 + 1 + 49 = 80
Now divide this by 5 = 16.
Standard deviation is √16 = 4.
Answer:
The hourly rate Bruce charges is, $33.75
Step-by-step explanation:
Direct Variation states two variables that can be expressed by an equation in which one variable is equal to a constant times the other, or we can say that if one variable changes then the other changes in proportion to the other.
i.e or
y = kx where k is the constant.
Let x be the number of hours and y be the charges.
He charges $ 135 for 4 hours, by using direct variation;
⇒
Solve for k:
per hour
Now, for 6 hours he charges $ 202.50, by using direct variation.
⇒
Now, solve for above k: we have
per hour.
Therefore, the hourly rate Bruce charges to rent a snowmobile, k is, $ 33.75
Answer: Hourly rate of rent a snowmobile is $ 33.75.
Step-by-step explanation:
Since we have given that
Amount Bruce charges for 4 hours = $135
Amount Bruce charges for 6 hours = $ 202.50
Since there is direct variation, as with the increase in hours the cost will also increase.
So, it will be written like this :
But we need to find the hourly rate which will be
Hence, hourly rate of rent a snowmobile is $ 33.75.
Let the number of boys be x
Let the number of girls be x + 4
(x + 4) + x = 28
x + x + 4 = 28
2x + 4 =28
2x = 28 - 4 → 2x = 24 → x = 24 / 2 → x = 12
The number of boys is 12, so the girls are 12 + 4 = 16
Ratio of girls to boys → 16 : 12 → 4 : 3
Ratio of girls to boys is 4:3