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3241004551 [841]
4 years ago
5

if the base of the box is 2 ft by 2 ft and the height of the box is 3ft, what is the cubic volume of the box?

Mathematics
1 answer:
natita [175]4 years ago
7 0
V=bwh
V=2x2x3
V=12

V=12ft^3
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Suppose you purchase a bundle of 18 bare-root broccoli plants. The sales clerk tells you that on average you can expect 8% of th
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Answer:

There is a 57.18% probability that you will lose at most 1 of the broccoli plants.

Step-by-step explanation:

For each plant, there are only two possible outcomes. Either they die, or they do not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem, we have that

There are 18 plants, so n = 18.

8% of the plants die before producing any broccoli. So p = 0.08.

Use the binomial formula to find the probability that you will lose at most 1 of the broccoli plants.

This is

P = P(X = 0) + P(X = 1)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{18,0}.(0.08)^{0}.(0.92)^{18} = 0.2229

P(X = 1) = C_{18,1}.(0.08)^{1}.(0.92)^{17} = 0.3489

P = P(X = 0) + P(X = 1) = 0.2229 + 0.3489 = 0.5718

There is a 57.18% probability that you will lose at most 1 of the broccoli plants.

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4 years ago
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Answer:

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What is 32 divided by 33?
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Step-by-step explanation:

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The area for the triangle is 31.5m^2. We find the left side is 9 meters because the triangle shares the same side as the square on the left side. We also find the bottom side is 7 because that is the length of each side of that square because all sides on a square is the same. We then multiply 9 times 7, getting 63, we divide this by 2 because it’s a triangle.

The square on the right has the area of 225 because both length and width is 15.

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