Graph the function represented in the table on the coordinate plane.
1 answer:
Step-by-step explanation:
We are given the co-ordinates,
x : -2, -1, 0, 1, 2
y : 8, 5, 2, -1, -4
According to the graph, we see that this function represents a straight line.
The general form of the straight line is y = mx + c, where m is the slope and c is the y-intercept.
So, taking any two points we will find the equation of the straight line.
Consider, (0,2) and (1, -1). Now, slope is given by,
m =
i.e. m = -3
Now, we will find the y-intercept of this equation using (0,2) and m = -3,
i.e. y = -3x + c
i.e. 2 = c
Hence, the equation of the straight line is y = -3x + 2.
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Mean (μ) = 11.5 feet
Standard deviation (σ) = 1.7 feet
First we need to find the z-score for less than 13.5 feet.
The formula of z-score is : z = (X - μ)/σ
Here X= 13.5, so z =
z = = 1.18
P(X < 13.5) = P(z< 1.18) =P(z< (1.1 + .08)) = 0.8810 (from z-score table)
P(X< 13.5) = 88.1% (for making percentage from decimal, we need to multiply by 100)
So, the probability that a randomly selected tree is less than 13.5 feet tall = 88.1%
I hope this helps ( there is no negatives )
