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Alex Ar [27]
3 years ago
5

Sarah rolls a die twice. What is the probability that she rolls a 3 and then an even number?

Mathematics
1 answer:
egoroff_w [7]3 years ago
7 0
1/12

This is because she has a 1/6 chance of getting a 3 on the first try and then a 1/2 chance of getting an even on the second. Multiply these two together to get your answer. 
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A bathtub can hold 80 gallons of water. The faucet flows at a rate of 4 gallons per minute. What percentage of the tub will be f
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Step-by-step explanation:

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2 years ago
Jacob wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence
Citrus2011 [14]

Jacob wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn,so he needs no fence on that side.

Let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn).

one side of the length is not counted for perimeter because one side of length will be against the barn.

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Perimeter of rectangle = L + W + W

400 = L + 2W

L = 400 - 2W

Area = L * W

Replace L by  400 - 2W

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A(W) = -2W^2 + 400W

Now we find out x coordinate of vertex to find the width that maximize the area

W = \frac{-b}{2a}

a= -2 and b = 400

W = \frac{-(400)}{2(-2)}=100

The width  w would maximize the area is w = 100ft

To find maximum area we plug in 100 for W in A(W)

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A(W) = -2(100)^2 + 400(100)= 20000

the maximum area is 20,000 square feet

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Step-by-step explanation:

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