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vladimir2022 [97]
3 years ago
6

A parking lot has sixty-one parking spaces numbered from 1 to 61. There are no cars in the parking lot when Jillian pulls in and

randomly parks. What is the probability that the number on the parking space where she parks is greater than or equal to 22?
A. 61/21


B. 40/61


C. 61/40


D. 21/61
Mathematics
1 answer:
Nutka1998 [239]3 years ago
4 0

Answer:

  B. 40/61

Step-by-step explanation:

There are 40 spots out of the 61 in the lot with numbers greater than or equal to 22. The probability of choosing one of them at random is 40/61.

_____

<em>About the answer choices</em>

61/21 and 61/40 are both numbers that are greater than 1. A probability is always a number between 0 and 1 (inclusive), so these answers can be rejected immediately.

There are 21 spots with numbers less than 22, so 21/61 is the probability of choosing one of those. That is not what the question is asking for.

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1. m
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To show why this is, I’m going to explain how to write the equation for a linear function with two random sets of ordered pairs - (1,0) and (5, 8).

First, find the slope. The formula for slope is m = (y2 - y1)/(x2-x1) where m is the slope and (x1, y1) and (x2, y2) are two sets of points.

This is why #1 is m. M is the letter used when finding slope.

To find m, I plug in the two sets of ordered pairs.

m = (8-0)/(5-1)
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An equation for a line (linear function) is written in something called slope-intercept form. It looks like y = mx + b. m is the slope and b is the y-intercept (number y equals when x = 0). If m = 3 and b = 1, the equation would be y = 3x + 1.

Here, you have just solved for m and know it equals 2. Plug that value in for m.

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Now that you know b = -2, plug that in for b.
y = 2x - 2. Now you have the equation fo the line.
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