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mr Goodwill [35]
3 years ago
10

Five cards are selected without replacement from a pack of 52 playing cards. What is the probability of exactly 3 hearts?

Mathematics
1 answer:
irga5000 [103]3 years ago
3 0
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.
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4. The Bulldog Theater charges $9.10 for each adult ticket and $7.75 for each student ticket. Mrs. Williams purchased 7 tickets
zhuklara [117]

Answer:

Two adult tickets and 5 student tickets

Step-by-step explanation:

Let a=adult tickets   Let s=student tickets

You know that each adult ticket is $9.10 and each student ticket cost $7.75. At the end, it cost $56.95 for both students and adults so the first equation should be 9.10a+7.75s=56.95. To get the second equation, you know that Mrs. Williams purchased 7 tickets in total that were both students and adults. Therefore, the second equation should be a+s=7. The two equations are 9.10a+7.75s=56.95

a+s=7.

Now, use substitution to solve this. I will isolate s from this equation so the new equation should be s=-a+7. Plug in this equation to the other equation, it will look like this 9.10a+7.75(-a+7)=56.95. Simplify this to get 9.10a-7.75a+54.25=56.95. Simplify this again and the equation will become 1.35a=2.70. Then divide 1.35 by each side to get a=2. This Mrs. Williams bought two adult tickets. Plug in 2 into a+s=7, it will look like this (2)+s=7. Simplify this and get s=5. This means Mrs. Williams bought five adult tickets. Therefore she bought 2 adult tickets and 5 student tickets.

Hope this helps

4 0
3 years ago
Ivan in inventory has a whole bunch of numbers just sitting around. He wants to build a “Multiples of 2” set in his free time. H
valkas [14]

Answer:

If they are divisible by 2

Step-by-step explanation:

:))

like ex.

2 4 6 8 10 12

8 0
2 years ago
Twice a number minus a second number is –1. Twice the second number added to three times the first number is 9. Find the two num
forsale [732]

Answer:

n= 1

x= 2

Step-by-step explanation:

the equations are 2n - x = -1

                              2x + 3n = 9

6 0
3 years ago
A road crew is putting sign on a 5 mile Road the first sign is the start of the road then they will place a sign every 500 yards
Grace [21]

Answer:

17

Step-by-step explanation:

There are 5,280 feet in a mile you want to multiply that by 5 for 5 miles

(5,280) (5) = 26,400

Since there are 3 feet in a yard you want to divide this number by 3

26,400/3 = 8,800

Then divide this by 500 for every 500 yards

8,800/500 = 17.6

Then round down because you can't have a decimal.

Therefore it is 17

3 0
3 years ago
Read 2 more answers
luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice . she gives 5/8 cup of juice to mags . how much is left in lu
vazorg [7]
3/4 is equal to 6/8, and 3/8 plus 6/8 is 9/8. 9/8 minus 5/8 is 4/8 or 1/2.
8 0
2 years ago
Read 2 more answers
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