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fgiga [73]
2 years ago
12

Jack is drawing circles on a playground for a game. If he draws a circle with a radius 3 feet, what is the area of the circle, t

o the nearest square foot?
Mathematics
1 answer:
aev [14]2 years ago
7 0

Answer:

28.2743 square feet (28 square feet, rounded)

Step-by-step explanation:

The area of a circle is given by the equation

Area = πr^2

Plug in 3 for the radius

Area= π(3)^2

3 squared is 9

Area= 9 π

Area= 28.2743 square feet

Rounded to the nearest square foot, the area of the circle is 28 square feet.

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and Jacinda's total distance is 10x. Mathematically,
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What dividend is represented by the synthetic division below?
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Answer:

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Step-by-step explanation

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In Happyville, the ideal family has four children, at least two of which are girls. If you randomly select a Happyville family t
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Answer:

0.3125 = 31.25% probability that it is not ideal.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either it is a girl, or they are not. The probability of a child being a girl is independent of any other child. This means that the binomial probability distribution is used to solve this question.

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 combinations 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.

0.5 probability of a children being a girl:

This means that p = 0.5

If you randomly select a Happyville family that has four children, what is the probability that it is not ideal?

Not ideal is less than two girls, so this is P(X < 2).

Four children means that n = 4. So

P(X < 2) = P(X = 0) + P(X = 1)

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

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P(X = 1) = C_{4,1}.(0.5)^{1}.(0.5)^{3} = 0.25

P(X < 2) = P(X = 0) + P(X = 1) = 0.0625 + 0.25 = 0.3125

0.3125 = 31.25% probability that it is not ideal.

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Step-by-step explanation:

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