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aalyn [17]
2 years ago
15

For the following, work each by hand showing all steps. (4 points each)

Mathematics
1 answer:
Oksi-84 [34.3K]2 years ago
8 0

Answer:

0.0358

Step-by-step explanation:

In a 52 deck, 13 cards are Clubs, and 26 cards are red.

There are ₁₃C₃ ways to choose 3 Clubs from 13.

There are ₂₆C₂ ways to choose 2 red cards from 26.

There are ₅₂C₅ ways to choose 5 cards from 52.

P = (₁₃C₃ ₂₆C₂) / ₅₂C₅

P = (286 × 325) / 2598960

P = 0.0358

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Natalie added 20 pieces of candy to a bowl. Two days later, half of the candy in the bowl is gone. If there are 14 pieces left i
Salsk061 [2.6K]

Answer:

8 pieces of candy

Step-by-step explanation:

Take the original amount of candy in the bowl to be x.

It says that 20 pieces of candy were added, therefore there are x+20 pieces of candy in the bowl.

Half of the candy is gone, therefore \frac{x+20}{2} pieces of candy are left in the bowl.

After half of the candy is gone, there are 14 pieces left, so we can say that \frac{x+20}{2} =14

Solve for x:

x+20 = 28

x=8

8 0
2 years ago
What is the first quartile in this box plot? Enter your answer in the box.
Gemiola [76]

Answer:

I think the first quartile is 30

Step-by-step explanation:

To find the quartiles you would look at the end points of the box.

6 0
3 years ago
Wave erosion causes a coastline to recede at a rate of 3.5 centimeters each year. After 9.25 years, how many centimeters will th
Nadya [2.5K]

Answer:

-32.375

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Using the binomial theorem, expand the expression (4 + y) to the power of 4
Flauer [41]

Answer:

When raised to the power of 4, the binomial (4 + y) expands to:

y^4 + 16y^3 + 96y^2 + 256y + 256

Step-by-step explanation:

(4 + y)^4 \\= (y^2 + 8y + 16)^2\\= y^4 + 8y^3 + 16y^2 + 8y^3 + 64y^2 + 128y + 16y^2 + 128y + 256\\= y^4 + 16y^3 + 96y^2 + 256y + 256

8 0
3 years ago
A cheetah travels 20 km west in an hour. The cheetah stops for another hour. Then, the cheetah travels another 40 km west in two
tigry1 [53]
20 divided by 40=2
20x40=800
800 divided by 40= 20
7 0
2 years ago
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