B in my opinion if I’m wrong I’ll do my equation
Answer:
1/10
Step-by-step explanation:
So first we need to find the probability of the cards, there is 5 cards and one card needs to be chosen, so the probability is 1/5
Then we need to find the probability of the dice, there is 3 even numbers in 1,2,3,4,5,and 6, so the probablity is 3/6 which is also equal to 1/2
Finaly we need to multiply 1/5 with 1/2, which is 1/10
Mixed fraction:
3 2/5 = 17/5
4 4/5 = 24/5
Miles she ran:
17/5 + 24/5
= 41/5 miles or 8.2 miles
Answer:
2√(5/π) ≈ 2.523
Step-by-step explanation:
The radius can be found using the area formula:
A = πr²
20 = πr² . . . . . fill in the given value
20/π = r² . . . . . divide by π
√(20/π) = r = 2√(5/π) . . . take the square root and simplify
You can use your calculator to find a numerical value for this:
r = 2√(5/π) ≈ 2.52313
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<em>Comment on the form of the answer</em>
Radicals are often considered to be in simplest form when they do not contain fractions or square factors. Here, the "simpler" form would be ...
r = (2/π)√(5π)
involving the irrational number π in two calculations. My preference for evaluating the expression for r is to leave it as √(20/π) or 2√(5/π).
<span>For this case we have the following expression:
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<span> We are going to make the following change of variables:
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<span>Rewriting the expression we have:
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<span>Factoring the expression we have:
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<span>Canceling similar terms we have:
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<span>Returning the change we have:
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<span> The resctrictions of the function are those that make the denominator equal to zero.
We have then:
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Answer: The simplified expression is: </span>
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The restrictions are: </span>