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3 years ago

G(x) = -3x + 2 with domain (-1, 2]

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

7 0

Answer:

all real numbers

Step-by-step explanation:

There are no radicals or fractions involved, so the domain is

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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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2 years ago

A grocery store sells American cheese for $3.89 per pound. About how much would 1.89 pounds of cheese cost?

Lena [83]

$7.35. All you do is multiply the two together

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3 years ago

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Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper c

Alenkasestr [34]

Step-by-step explanation:

this is the answer key for that question and etc...

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2 years ago

in the first third of the season the team played 18 games how many games will the team play during the whole season

patriot [66]

Answer:

Step-by-step explanation:

all you have to do is times 18 by 3

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2 years ago

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"a man drove 10 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place o

Mariulka [41]

Answer:

11.2 miles

Step-by-step explanation:

We can create a triangle from the information given.

<u>We can call the starting point (0,0) in the coordinate system.</u>

<u>10 mi east</u> - 10 miles to the right. then,
<u>5 mi north</u> - 5 miles above

<em><u>See the attached picture. The direct distance is labeled as x.</u></em>

Now we need to find x using pythagorean theorem.

Pythagorean Theorem = leg²+leg²=hypotenuse²

Solving for x:

$10^2+5^2=x^2\\100+25=x^2\\125=x^2\\x=\sqrt{125}\\x=11.18$

<em>Rounding to nearest tenth, we have </em><em>11.2 miles</em>

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2 years ago

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