Mathematics, 26.03.2020 16:51 bryaniscool619ovksqy

At a highschool, 90% of the students take physics and 35% of the students take both physics and statistics. What is the probability that a student that is taking physics is also taking statistics

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Answer from: leysirivera23ovez6n

38.89% probability that a student that is taking Physics is also taking Statistics

Step-by-step explanation:

Conditional probability formula:

Two events, A and B.

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of B happening, given that A has happened.

$P(A \cap B)$ is the probability of these two events happening.

P(A) is the probability of A happening.

In this problem, we have that:

A: physics

B: statistics.

90% of the students take Physics

This means that P(A) = 0.9

35% of the students take both Physics and Statistics.

This means that $P(A \cap B) = 0.35$

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.35}{0.90} = 0.3889$

38.89% probability that a student that is taking Physics is also taking Statistics

Answer from: Quest

All points to the left of zero on a horizontal number line are negative. a number line is a picture of a graduated straight line that serves as abstraction for real numbers. this number line can be extended to the left to represent numbers which are smaller than 0. such numbers are called negative numbersmark me brainliest

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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