3 years ago

Question 9 (1 point)

Mathematics

1 answer:

Luden [163]3 years ago

8 0

Answer:

Step-by-step explanation:

16x-80+18=4x+22

16x-62=4x+22

12x-62=22

12x=84

x=7

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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

expeople1 [14]

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

What's sixty nine thousand one hundred eight written in standred form

Vadim26 [7]

The answer is 69,108

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3 years ago

A woman takes 12 equal-sized steps. She walks a total of 10 yards

kiruha [24]

Answer:

Each step is 30 inches

Step-by-step explanation: One yard is 36 inches. 10 yards is 360 inches.

360 divided by 12 is 30.

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2 years ago

If the perimeter of the top of desk is 54 inches the length of the desk is

allsm [11]

Formula: $2width+2length=perimeter$

$length=15inches$

$width=?$

$Perimeter=54inches$

$2*15=30$ (There are two sides for the length)

$54-30=24$

$24/2=12$ (There are two sides for the width)

The width of the desk is 15 inches

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3 years ago

20. Solve 3(5x − 4) < 15x.<br> All Real Numbers<br> x>-4 <br>x<4<br>no solution

Natasha2012 [34]

Answer:

No solution

Step-by-step explanation:

$3(5x - 4) < 15x \\ 15x - 12 < 15x \\ 15x - 15x < 12 \\ 0 < 12$

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2 years ago