There are eight runners in the 100-meter dash. In how many ways can the runners finish in first, second, and third place?
2 answers:
Answer: 336
Step-by-step explanation:
Given : The total number of runners = 8
The number of positions = 3
Since for awarding prize, the order of winners matters.
So by permutations ,the number of possible ways to award 3 prizes will be
Therefore , the total number of ways by which runners finish in first, second, and third place is 336.
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Answer:
Step-by-step explanation:
Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to and
(doesn't matter which you assign) and use the slope formula:
Let:
The slope is equal to:
Therefore, the slope of this line is -1. In slope-intercept form ,
represents slope, so one of the lines must have a term with
in it, which eliminates answer choices A and D.
For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:
Using the slope formula:
Thus, the slope of the line is 1/3 and the other line must have a term with in it, eliminating answer choice C and leaving the answer
*You can find the exact equation of each line by using the slope formula as shown and plugging in any point the line passes through into