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elena-14-01-66 [18.8K]

3 years ago

13

Two cards are drawn from a standard deck of cards without replacement. Find the probability of drawing a heart and a club in tha

t order

1 answer:

Katyanochek1 [597]3 years ago

8 0

Answer:

4/663

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Since we are to draw from a pack of card, the total outcome will be 52

Since there are 4 hearts;

Pr(selecting heart) = 4/52 = 1/13

If a club is then selected without replacement, the total number of card remaining will be 51;

Pr(selecting a heart) = 4/51

probability of drawing a heart and a club in that order = 4/52 * 4/51

probability of drawing a heart and a club in that order = 16/2652

probability of drawing a heart and a club in that order = 4/663

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Step-by-step explanation:

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A piece of cardboard has the dimensions (x + 15) inches by (x) inches with the area of 60 in 2 . Write the quadratic equation th

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Answer:

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Step-by-step explanation:

Given

Dimension:

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Required

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Solving (b): The actual dimension

First, we need to solve for x

This can be solved using quadratic formula:

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$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

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$x = \frac{-15 \± \sqrt{225 + 240}}{2}$

$x = \frac{-15 \± \sqrt{465}}{2}$

$x = \frac{-15 \± \21.56}{2}$

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$x = \frac{-15 + 21.56}{2}$ or $x = \frac{-15 - 21.56}{2}$

$x = \frac{6.56}{2}$ or $x = \frac{-36.36}{2}$

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$x = 3.28$

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3 years ago

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