Mathematics, 14.12.2019 06:31 Kbkbkb3710

An experiment consists of rolling a die, flipping a coin, and spinning a spinner divided into 7 equal regions. the number of elements in the sample space of this experiment is

84

3

15

9

Answers: 1

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Answer from: msroxcie

Option A.

The number of elements in the sample space of this experiment is 84

Step-by-step explanation:

The sample space for an experiment represents the number of possible results that may occur when conducting the experiment.

When throwing a die and observe the number obtained there are 6 possible results

When throwing a coin there are 2 possible results.

When spinning a wheel divided into 7 regions we have 7 possible outcomes.

If we combine these three experiments, then the sample space S is composed of the product of the possible results of each experiment.

$S = (6)(2)(7)\\\\S =84$

Answer from: Quest

1,918

step-by-step explanation:

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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An experiment consists of rolling a die, flipping a coin, and spinning a spinner divided into 7 equa...