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OverLord2011 [107]
2 years ago
8

At a track meet, 50 people ran the 100-meter dash. 2 people finished in 11 seconds, 5 people finished in 12 seconds, 8 people fi

nished in 13 seconds, 10 people finished in 14 seconds, 21 people finished in 15 seconds, 2 people finished in 16 seconds, and 2 people finished in 17 seconds. What is the probability distribution for the finish times?
Mathematics
1 answer:
adoni [48]2 years ago
6 0
You have to do a histogram here:

<span>11 sec: 2 people: probability is 2/50 = 1/25 = 0.04
12 sec: 5 people: probability is 5/50 = 1/10 = 0.1
13 sec: 8 people: probability is 8/50 = 4/25 = 0.16
</span>14 sec: 10 people: probability is 10/50 = 1/5 = 0.2
15 sec: 21 people: probability is 21/50 = 2.38
16 sec: 2 people: probability is 2/50 = 1/25 = 0.04
17 sec: 2 people: probability is 2/50 = 1/25 = 0.04
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Answer:

g(x) = (-1/25)x + (203/25)

Step-by-step explanation:

The general equation for a line is slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

We know that perpendicular lines have opposite-signed, reciprocal slopes of the original line. Therefore, if the slope of f(x) is m = 25, the slope of g(x) must be m = (-1/25).

To find the y-intercept, we can use the newfound slope and the values from the given point to isolate "b".

g(x) = mx + b                                    <----- General equation

g(x) = (-1/25)x + b                             <----- Plug (-1/25) in "m"

8 = (-1/25)(3) + b                               <----- Plug in "x" and "y" from point

8 = (-3/25) + b                                  <----- Multiply (1/25) and 3

200/25 = (-3/25) + b                       <----- Covert 8 to a fraction

203/25 = b                                      <----- Add (3/25) to both sides

Now that we know both the values of the slope and y-intercept, we can construct the equation of g(x).

g(x) = (-1/25)x + (203/25)

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