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fredd [130]
3 years ago
11

Bryce and Rachel are collecting canned goods for the local food bank. Bryce's goal is to collect 32 items. Rachel's goal is to c

ollect 24 items. If Rachel and Bryce each meet their goal, what fraction of Bryce's goal does Rachel collect?
Mathematics
1 answer:
vlabodo [156]3 years ago
4 0
I think the fraction would be 3/4.
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Find the probability of being dealt a full house. (Round your answer to six decimal places.)?
vesna_86 [32]

I'm assuming a 5-card hand being dealt from a standard 52-card deck, and that there are no wild cards.

A full house is made up of a 3-of-a-kind and a 2-pair, both of different values since a 5-of-a-kind is impossible without wild cards.

Suppose we fix both card values, say aces and 2s. We get a full house if we are dealt 2 aces and 3 2s, or 3 aces and 2 2s.

The number of ways of drawing 2 aces and 3 2s is

\dbinom42\dbinom43=24

and the number of ways of drawing 3 aces and 2 2s is the same,

\dbinom43\dbinom42=24

so that for any two card values involved, there are 2*24 = 48 ways of getting a full house.

Now, count how many ways there are of doing this for any two choices of card value. Of 13 possible values, we are picking 2, so the total number of ways of getting a full house for any 2 values is

2\dbinom{13}2\dbinom42\dbinom43=3744

The total number of hands that can be drawn is

\dbinom{52}5=2,598,960

Then the probability of getting a full house is

\dfrac{2\binom{13}2\binom42\binom43}{\binom{52}5}=\dfrac6{4165}\approx\boxed{0.001441}

4 0
3 years ago
A.4 B.5 C.6 D.8<br> HELP PLEASE
soldier1979 [14.2K]

Answer:

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Step-by-step explanation:

Volume of cylinder formula:

  • V = πr²h

<h3>Given</h3>

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Find r by substituting given values:

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  • 64π = 4r²π
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Correct choice is A.

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Answer:

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Step-by-step explanation:

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How would you combine like terms with exponents? Do you add the exponents?
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Answer: When you combine like terms in a algebraic expression, you do not add the exponents! When you combine like terms in an equation, such as a^2 and 4a^2, you only combine the numbers, not the exponents. The exponent attached to the number stays the same. a^2 and 4a^2 would be 5a^2.

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