There are 13 total hearts in the deck, which leaves 39 non-hearts. You're drawing a hand of five cards, so the probability of getting exactly 3 hearts is

$\dfrac{\binom{13}3\binom{39}2}{\binom{52}5}=\dfrac{2717}{33320}$

as required.

3 0

3 years ago

Albert deposits $2785 in an account that earns 3.9% interest compounded monthly. this function models the amount in the account

Step2247 [10]

The amount for the given data is found as, $\rm a = 2825(1+\frac{3.9}{12} )^{12t}$ .The given expression is true.

<h3>What is the amount?</h3>

The complete repayment of money at the end of the period for which it was borrowed is referred to as the amount.

The given data in the problem is;

P is the annual payment=2827

r is the rate of interest = 3.9%

n is the time period=12

The formula for the amount is found as;

$\rm a = p(1+\frac{r}{n} )^{nt}$

Substitute the given value;

$\rm a = 2825(1+\frac{3.9}{12} )^{12t}$

Hence the given expression is true.

To learn more about the amount, refer to the link: brainly.com/question/12184047.

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5 0

1 year ago

A rectangular painting's width is 6 less than twice its length.

atroni [7]

Answer: Paintings length is 16, width is 26, area is 416 square inches.

7 0

3 years ago