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3 years ago

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Write out the sample space for the given experiment. Use the following letters to indicate each choice: W for white, Y for yello

w, B for blue, G for gray, E for ebony, and M for maple. While renovating your house, you have a choice of paint colors for your game room: white, yellow, or blue. You also have the following options for the finish on your entertainment center: gray, ebony, or maple.

1 answer:

allochka39001 [22]3 years ago

4 0

Answer:

S={WG, WE, WM, YG, YE, YM, BG, BE, BM}

Step-by-step explanation:

There are three possible color choices for the game room (White, Yellow or Blue), and three possible choices for the entertainment center (Gray, Ebony or Maple). This means that there are 9 possible outcomes, therefore, the sample space for the experiment is:

S={WG, WE, WM, YG, YE, YM, BG, BE, BM}

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You commute to work a distance of 40 miles and return on the same route at the end of the day. Your average rate on the return t

boyakko [2]

Answer:

The average rate on the outgoing trip is 30 miles per hour.

Step-by-step explanation:

Consider the provided information.

You commute to work a distance of 40 miles and return on the same route at the end of the day.

Your average rate on the return trip is 30 miles per hour faster than your average rate on the outgoing trip. If the round trip takes 2 hours.

Let the average rate on the outgoing trip is x

Average rate on the return trip = x+30

As we know $Time=\frac{Distance}{Speed}$

$\frac{40}{x}+ \frac{40}{(x+30)} = 2$

$\frac{40(x+30)+40x}{x(x+30)}= 2$

$40x+1200+40x= 2(x^2+30x)$

$80x+1200= 2x^2+60x$

$2x^2-20x-1200=0$

$x^2-10x-600=0$

$x^2-30x+20x-600=0$

$(x-30)(x+20)=0$

The value of x can't be a negative number so x=30

Hence, the average rate on the outgoing trip is 30 miles per hour.

6 0

3 years ago

What is the solution of the linear-quadratic system of equations? { y = x 2 + 5 x − 3 y − x = 2

photoshop1234 [79]

Try substituting those values, and you will see they do not fit either equation.

looking at the 2nd equation, y = x+2, so

x+2 = x^2+5x-3

x^2 + 4x - 5 = 0

(x+5)(x-1) = 0

x = -5 or 1

so, y = -3 or 3

the solutions are thus (-5,-3)(1,3)

Hope this helps

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3 years ago

Read 2 more answers

If a • b = b, what must the value of a be?

Usimov [2.4K]

Answer:

the value of a would be one, i think

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3 years ago

Need help please its my last question

Nesterboy [21]

Given:

Radius of circle = 12 units

Area of sector = 24π sq. units.

Central angle = x

To find:

The value of x.

Solution:

We have,

$r=12$

$A=24\pi$

$\theta = x$

We know that, area of a sector is

$A=\dfrac{\theta }{360^\circ}\pi r^2$

Where, $\theta$ is central angle, r is radius.

$24\pi=\dfrac{x}{360^\circ}\pi (12)^2$

$24\pi=\dfrac{x}{360^\circ}\pi (144)$

$\dfrac{24\pi}{144\pi}=\dfrac{x}{360^\circ}$

$\dfrac{1}{6}=\dfrac{x}{360^\circ}$

Multiply both sides by 360 degrees.

$\dfrac{1}{6}\times 360^\circ=x$

$60^\circ=x$

The value of x is 60 degrees.

Therefore, the correct option is A.

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Sladkaya [172]

Answer:

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Step-by-step explanation:

4×2.35=9.4

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