Which situation is best described by the graph shown?

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

4 0

2 years ago

400 lbs = ? Tons and 38,600 mg = ? dekagrams

garik1379 [7]

400 lbs = 0.2 tons

38,600 mg = 3.86 dekagrams

Hope it helps!

3 0

2 years ago

The length, l, of a rectangle is 6/5 its width, w.the length, l, of the rectangle is 12 inches. what is the area of the rectangl

UNO [17]

The area of the rectangle is simply width times length.
Hence, A = w*l = (6/5)*12 = 72/5 = 14.4 square inches (ANSWER)

6 0

3 years ago

Read 2 more answers

4x + 1/3 y 2 what is the value of the expression above when x = 2 and y = 3

GenaCL600 [577]

Hoi!

To solve this, first plug in the values for x and y.

x = 2, so anywhere you see x, put 2 in its place.

y = 3, so anywhere you see y, put 3 in its place.

$4(2) + \frac{1}{2}(3)$

4 × 2 = 8

$\frac{1}{2}$ × 3 = $1 \frac{1}{2}$

$8 +1 \frac{1}{2}$ = $9 \frac{1}{2}$

$9 \frac{1}{2}$ is your answer.

4 0

2 years ago

Read 2 more answers

Drew has two cats. One cat weighs 17 pounds, and the other one weighs 12 1/2 pounds. Audrey’s dog weighs 33 pounds. What is the

Step2247 [10]

Answer: 3.5 pounds

Step-by-step explanation:

17+12.5=29.5

33-29.5=3.5

4 0

3 years ago