Answer:
Option A
Step-by-step explanation:
We know that the median is 13 so on the number line the median of the box plot should be the verh middle line going between 12 and 14.
Next we know the range is also 13 stated in the question.
Highest number - smallest number = 13
the range.
In option A, the highest number is 22 and the smallest is 9
22-9=13 so that ends my conclusion.
P = a + b + c where a < b < c
P = 42 in
b = 18 in
a = x
c = 4x - 1
The equation:
x + 18 + 4x - 1 = 42 |combine items
5x + 17 = 42 |subtract 17 from both sides
5x = 25 |divide both sides by 5
x = 5 (in)
c = 4 · 5 - 1 = 20 - 1 = 19 (in)
Answer: The length of the longest side is 19 in.
Part A
There is a perfect positive correlation going on here, so r = +1 or simply r = 1. This is because all of the points are on the same straight line, and this line has a positive slope. Each time x goes up by 1, y goes up by 3. The slope is m = (change in y)/(change in x) = 3/1 = 3
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Part B
The slope is 3 as mentioned back in part A. Further confirmation can be shown if you pick any two points and use the slope formula m = (y2-y1)/(x2-x1). I'll use the first two points
m = (y2-y1)/(x2-x1)
m = (7-4)/(1-0)
m = 3/1
m = 3
Note how (x,y) = (0,4) is on the line so the y intercept is 4.
So we go from y = mx+b to y = 3x+4
Plug x = 0 into y = 3x+4 and you should get y = 4. Plug x = 1 into y = 3x+4 and you should get y = 7. Etc etc
The function that perfectly fits the data is y = 3x+4
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Part C
The slope is 3 tells us how fast the plant grows per day. In this case, it grows 3 centimeters per day. You can think of this as the unit rate.
The y intercept is the starting height of the plant, which is 4 cm. On day 0 (starting day) the plant is 4 cm tall. The y intercept is the point where the graph crosses the y axis as shown in the attached image below.
X = 13 and the angle of A= 83