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3 years ago

Graphing Linear Inequality y≤ 3/5x-5

Mathematics

2 answers:

patriot [66]3 years ago

5 0

$y\le3/5x-5$ hence $y$ is below the line $y=3/5x-5$ .

This is thus its graph : <em>[see attached picture] (the red area is the graph)</em>

Damm [24]3 years ago

3 0

$y\leq\frac{3}{5}x-5\\\\for\ x=0\to y=\frac{3}{5}(0)-5=0-5=-5\to A(0;-5)\\\\for\ x=5\to y=\frac{3}{5}(5)-5=3-5=-2\to B(5;-2)\\\\look\ at\ the\ picture$

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Question:

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(b) find the probability that none in the sample are defective.

Answer:

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b $Pr = \frac{72}{110}$

Step-by-step explanation:

Given

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Solving (a): Probability that both selection are defective.

For two selections, the probability that all are defective is:

$Pr = P(D) * P(D)$

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$Pr = \frac{2}{110}$

Solving (b): Probability that none are defective.

The probability that a selection is not defective is:

$P(D') = \frac{9}{11}$

For two selections, the probability that all are not defective is:

$Pr = P(D') * P(D')$

$Pr = \frac{9}{11} * \frac{9-1}{11-1}$

$Pr = \frac{9}{11} * \frac{8}{10}$

$Pr = \frac{72}{110}$

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