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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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Answer:

x=\frac{-7-\sqrt{5}}{2} or x=\frac{-7+ \sqrt{5}}{2}

Step-by-step explanation:

The given equation is

(2x+3)^2+8(2x+3)+11=0

Let us treat this as a quadratic equation in (2x+3).

where a=1,b=8,c=11

The solution is given by the quadratic formula;

(2x+3)=\frac{-b\pm \sqrt{b^2-4ac} }{2a}

We substitute these values into the formula to obtain;

(2x+3)=\frac{-8\pm \sqrt{8^2-4(1)(11)} }{2(1)}

(2x+3)=\frac{-8\pm \sqrt{64-44} }{2}

(2x+3)=\frac{-8\pm \sqrt{20} }{2}

(2x+3)=\frac{-8\pm2\sqrt{5} }{2}

(2x+3)=-4\pm \sqrt{5}

(2x+3)=-4-\sqrt{5} or (2x+3)=-4+ \sqrt{5}

2x=-3-4-\sqrt{5} or 2x=-3-4+ \sqrt{5}

2x=-7-\sqrt{5} or 2x=-7+ \sqrt{5}

x=\frac{-7-\sqrt{5}}{2} or x=\frac{-7+ \sqrt{5}}{2}

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3 years ago
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Step-by-step explanation:

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2 years ago
What is the area of the shaded region? (Use 3.14 for Pi) *
love history [14]

Answer:

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Step-by-step explanation:

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3 years ago
Find the volume of the cone.
Ne4ueva [31]

Answer:

3142.86 cubic cm

Step-by-step explanation:

volume of cone is given by formula

volume of cone = 1/3(area of base*height)

Given radius of base = 10cm

we know area of circle is given by \pi  r^2 where r is radius of circle

thus area of base of cone is calculated below

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area of base of cone is 314.2857 square cm

height = 30 cm

Thus volume of cone  = 1/3* (area of base*height)

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Thus, volume of cone is 3142.857 cubic cm.

volume of cone  to the nearest hundredth is 3142.86 cubic cm

6 0
3 years ago
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