8+9+10 = 27
27/3 = 9
4+5+6 = 15
15/3 = 5
This is always so, because the third number has one extra that can be added to the first to make them 3x the same numbers.
Since these are box plots, they're based on a lot of data, and we cannot say for certain whether something will be true, but it can give us a good idea. So this means that options A & B are out, since they say 'will always', but we can never say for sure with box plots.
The boxes of the box plot represent basically the average of the data. The beginning of the box is the first quartile, the end of the box is the third quartile, and the line in the middle is the median, which is the middle of the data. Since the box in the box plot of Design A is greater than the box in the box plot of Design B, we can say it's likely that candle Design A will last longer than candle Design B, or option C.
Answer:
all work is pictured and shown
The sphere. All the others are prisms.
Answer:
The equation of the function: y = mx + b
- m = slope = (y₂ - y₁)/(x₂ - x₁) = [5 - (-3)]/(4 - 0) = (5 + 3)/4 = 8/4 = 2
- b = y-intercept = -3
Therefore, the equation is <u>f(x) = 2x - 3</u>
When x = 0, f(x) = 2(0) - 3 = <u>-3</u>
When x increases by 1, f(x) increases by <u>2</u> (slope = the rate of change)