Answer:
a) 4.33 (three repeating)
b) 3.5
c) 3
d) 0.44
Step-by-step explanation: Mean is all the numbers added up and divided by the amount of items. All the items added together are 78. We have 18 items 78/18 = 4.3 (three repeating). Median is just the middle value. This is between 3 and 4 so 3.5. Mode is the one that shows the most. This is 3. 8 students play games for more than 4 hours. 8/18 = 0.44
Step-by-step explanation:
Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 15 gallons of fuel, the airplane weighs 2187 pounds. When carrying 35 gallons of fuel, it weighs 2303 pounds. How much does the airplane weigh if it is carrying 50 gallons of fuel?
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You have two points relating fuel and weight.
(15,2187) and (35,2303)
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slope = (2303-2187)/(35-15) = 5.8
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intercept = ?
2187 = 5.8*15 + b
b = 2100
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Equation:
f(x) = 5.8x + 2100
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f(50) = 2390 lbs.
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There are special properties to certain right triangles.
A 3-4-5 triangle will always be a right triangle. 9 divides into 3, and 15 divides into 5, so you can use ratios to find b.
Since 9 divides into 3, we will use this to set up proportions for the missing value:

Cross multiply the fractions.

Divide both sides by 3.

The missing value is
12.
is the greatest number that divides both numbers.