3 years ago

Five times the difference of a number, x, and 3 plus 7 is equal to -45.

Mathematics

1 answer:

miskamm [114]3 years ago

7 0

Answer:

5(x-3)+7=-45

Step-by-step explanation:

The only possibly way for 5 to multiply 2 numbers is if those numbers are in parenthesis

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There are 10 pens in a box. There are x red pens in the box. All the other pens are blue. Jack takes at random two pens from the

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The probability that one of each color is selected is $\frac{10x - x^2}{45}$

<h3>Probabilities</h3>

The probability of an event is the chances of the said event

The given parameters are:

Total = 10
Red = x
Blue = 10 - x

<h3>Calculating the required probability</h3>

The probability that one of each color is selected is calculated as follows:

$P = P(Blue) \times P(Red) + P(Red) \times P(Blue)$

So, we have:

$P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}$

This gives

$P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}$

Take LCM

$P = \frac{2x(10 - x)}{90}$

Simplify the above expression

$P = \frac{x(10 - x)}{45}$

Expand

$P = \frac{10x - x^2}{45}$

Hence, the probability that one of each color is selected is $P = \frac{10x - x^2}{45}$

Read more about probabilities at:

brainly.com/question/7965468

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3 years ago

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