Mathematics, 25.01.2021 15:20 esdoles3865

Four of you enter in the race. You are told that only one will complete the course. What is the probability if you complete the Course. What is probability that you will not complete the course.

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Answer from: 22nathanieltimms

25% probability that you complete the course

75% probability that you do not complete the course

Step-by-step explanation:

If there are a total of 4 individuals entering the race and only one is able to complete the course then the probability that you will complete the course would be

1/4 = 0.25 or 25%

This is because you only represent 1 out of the 4 total participants. The opposite would be the case to calculate the probability that you will not complete the course since there are three other candidates with that could have completed it, therefore...

3/4 = 0.75 or 75%

Answer from: Quest

y=1/4x-4

step-by-step explanation:

Here’s a graph of a linear function. write the equation that describes that function

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

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