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Otrada [13]
3 years ago
13

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.
Mathematics
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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If the perimeter of a rectangle is 34 cm and the area is 60 square cm, then what are the dimensions of the
Yuki888 [10]

Answer: 12 by 12  by 5 by 5

Step-by-step explanation: 12*5 = 60

12+12+5+5

=34

8 0
3 years ago
You are designing a rectangular poster to contain 7575 in2 of printing with a 33​-in margin at the top and bottom and a 11​-in m
erma4kov [3.2K]

Answer:

The dimensions of the rectangular poster is 15 in by 5 in.

Step-by-step explanation:

Given that, the area of the rectangular poster is 75 in².

Let the length of the rectangular poster be x and the width of the rectangular poster be y.

The area of the poster = xy in².

\therefore xy=75

\Rightarrow y=\frac{75}{x}....(1)

1 in margin at each sides and 3 in margin at top and bottom.

Then the length of printing space is= (x-2.3) in

                                                           =(x-6) in

The width of printing space is = (y-2.1) in

                                                  =(y-2) in

The area of the printing space is A =(x-6)(y-2) in²

∴ A =(x-6)(y-2)

Putting the value of y

\Rightarrow A =(x-6)(\frac{75}{x}-2)

\Rightarrow A = 87-\frac{450}{x}-2x

Differentiating with respect to x

A '= \frac{450}{x^2}-2

Again differentiating with respect to x

A''=-\frac{900}{x^3}

To find the minimum area of printing space, we set A' = 0

\therefore \frac{450}{x^2}-2=0

\Rightarrow 450 =2x^2

\Rightarrow x^2=225

\Rightarrow x=\pm 15

Now putting x=±15 in A''

A''|_{x=15}=-\frac{900}{15^3}

A''|_{x=-15}=-\frac{900}{(-15)^3}=\frac{900}{(15)^3}>0

Since at x=15 , A"<0 Therefore at x=15 , the area will be minimize.

From (1) we get

y=\frac{75}{x}

Putting the value of x

y=\frac{75}{15}

   =5 in

The dimensions of the rectangular poster is 15 in by 5 in.

4 0
3 years ago
A linear function has a slope of 4 and a y-intercept of (0,-8). What is the x-intercept of the line?
miss Akunina [59]

Answer:

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Step-by-step explanation:

Data

slope = m = 4

y-intercept = -8

Process

1.- Write the equation of the line in the slope y-intercept

                    y = mx + b

In this equation:

m = slope

b = y-intercept

-Substitution

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2.- To find the x-intercept, consider that y = 0 and solve for x.

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Answer:

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Step-by-step explanation:

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