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Lina20 [59]
3 years ago
8

Suppose that 3 cards are drawn from a well-shuffled deck of 52 cards. What is the probability that all 3 are diamonds?

Mathematics
1 answer:
Marat540 [252]3 years ago
5 0

There are 13 diamonds in the deck, so \dbinom{13}3 ways of drawing 3 diamonds.

There is a total of \dbinom{52}3 ways of drawing any 3 cards from the deck.

So the probability of drawing 3 diamonds is

\dfrac{\binom{13}3}{\binom{52}3}=\dfrac{11}{850}\approx0.012941

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

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Expression of "Eight less than half the sum of 4 and k” into symbol
jolli1 [7]

Answer:

\frac{4+k}{2} -8

Step-by-step explanation:

We're going to have to work backwards.

The sum of 4 and k is 4+k.

Half is simply that divided by 2.

\frac{4+k}{2}

Now, we'll subtract 8 from it.

\frac{4+k}{2} -8

Bam!

7 0
2 years ago
-12 = 2 + 5y + 2y<br> Can you me do the work
notsponge [240]

Answer:

-2 =y

Step-by-step explanation:

-12 = 2 + 5y + 2y

Combine like terms

-12 =2+7y

Subtract 2 from each side

-12-2 = 2+7y-2

-14 = 7y

Divide each side by 7

-14/7 = 7y/7

-2 =y

5 0
3 years ago
You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm. You want to use a straight cr
iVinArrow [24]
Correct me if I'm wrong, but i believe the correct answer should be answer C) 76 cm. 
6 0
2 years ago
Read 2 more answers
A movie theater charges 8 dollars for adults and 4 dollars for seniors. On a particular day when 353 people paid an admission, t
sammy [17]

A movie theater charges 8 dollars for adults and 4 dollars for seniors. On a particular day when 353 people paid an admission, the total receipts were 1688 dollars. How many who paid were adults? . How many who paid were seniors?

<em><u>Answer:</u></em>

There were 69 adults and 284 seniors

<em><u>Solution:</u></em>

Let "a" be the number of adults

Let "s" be the number of seniors

Cost of 1 adult = $ 8

Cost of 1 senior = $ 4

<em><u>On a particular day when 353 people paid an admission</u></em>

Therefore,

number of adults + number of seniors = 353

a + s = 353

a = 353 - s ---------- eqn 1

<em><u>The total receipts were 1688 dollars</u></em>

Therefore, we frame a equation as:

number of adults x Cost of 1 adult + number of seniors x Cost of 1 senior = 1688

a \times 8 + s \times 4 = 1688

8a + 4s = 1688 ---------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Substitute eqn 1 in eqn 2</u></em>

8(353 - s) + 4s = 1688

2824 -8s + 4s = 1688

4s = 2824 - 1688

4s = 1136

<h3>s = 284</h3>

<em><u>Substitute s = 284 in eqn 1</u></em>

a = 353 - 284

<h3>a = 69</h3>

Thus there were 69 adults and 284 seniors in movie theater

7 0
2 years ago
Write a formula for the world population and sketch the graph. In 2007, the world's population reached 6.7 billion was increasin
NeX [460]
<span>in 2007, the world's population reached 6.7 billion was increasing at a rate of 1.2% per year. Assume that the growth rate remains constant.

Generalize the expression for the world's population for t years since 2007 is:</span> <span>P(t) = 6,700,000 (1.012)^t </span>
4 0
3 years ago
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