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koban [17]
2 years ago
10

1.Write an equation that models the following verbal statement and show/explain how you know your translation is correct.

Mathematics
1 answer:
Mazyrski [523]2 years ago
5 0

Answer:

Step-by-step explanation:

4x-5 = 3x

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If you draw four cards at random from a standard deck of 52 cards, what is the probability that all 4 cards have distinct charac
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There are \binom{52}4 ways of drawing a 4-card hand, where

\dbinom nk = \dfrac{n!}{k!(n-k)!}

is the so-called binomial coefficient.

There are 13 different card values, of which we want the hand to represent 4 values, so there are \binom{13}4 ways of meeting this requirement.

For each card value, there are 4 choices of suit, of which we only pick 1, so there are \binom41 ways of picking a card of any given value. We draw 4 cards from the deck, so there are \binom41^4 possible hands in which each card has a different value.

Then there are \binom{13}4 \binom41^4 total hands in which all 4 cards have distinct values, and the probability of drawing such a hand is

\dfrac{\dbinom{13}4 \dbinom41^4}{\dbinom{52}4} = \boxed{\dfrac{2816}{4165}} \approx 0.6761

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Step-by-step explanation:

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andreyandreev [35.5K]

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Which expression shows the first step in simplifying 2x – 3(x + 2y) – 5(y – 7x)?
artcher [175]

Answer: Option 3.


Step-by-step explanation:

1. To simplify the expression shown in the problem, the first step is to apply the Distributive property, this means that you must multiply the number that are outside of the parentheses by the numbers inside of them.

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