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uysha [10]
3 years ago
6

At the local ice cream shop, there

Mathematics
1 answer:
Tatiana [17]3 years ago
7 0

Answer:

22.73% possibility that both of the scoops are ice cream

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order of the scoops is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

What is the possibility that both of the scoops are ice cream?

Desired outcomes:

2 scoops of ice cream(set of 6). So

D = C_{6,2} = \frac{6!}{2!4!} = 15

Total outcomes:

2 scoops from a set of 6 + 6 = 12. So

T = C_{12,2} = \frac{12!}{2!10!} = 66

Probability:

p = \frac{D}{T} = \frac{15}{66} = 0.2273

22.73% possibility that both of the scoops are ice cream

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Please help me. 5(m-7)=-8(3m+8)
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Answer:

m = -1

Step-by-step explanation:

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Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

5 m - 35 = -8 (3 m + 8)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the right hand side:

5 m - 35 = -24 m - 64

Hint: | Move terms with m to the left hand side.

Add 24 m to both sides:

24 m + 5 m - 35 = (24 m - 24 m) - 64

Hint: | Look for the difference of two identical terms.

24 m - 24 m = 0:

24 m + 5 m - 35 = -64

Hint: | Group like terms in 24 m + 5 m - 35.

Grouping like terms, 24 m + 5 m - 35 = (5 m + 24 m) - 35:

(5 m + 24 m) - 35 = -64

Hint: | Add like terms in 5 m + 24 m.

5 m + 24 m = 29 m:

29 m - 35 = -64

Hint: | Isolate terms with m to the left hand side.

Add 35 to both sides:

29 m + (35 - 35) = 35 - 64

Hint: | Look for the difference of two identical terms.

35 - 35 = 0:

29 m = 35 - 64

Hint: | Evaluate 35 - 64.

35 - 64 = -29:

29 m = -29

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 29 m = -29 by 29:

(29 m)/29 = (-29)/29

Hint: | Any nonzero number divided by itself is one.

29/29 = 1:

m = (-29)/29

Hint: | Reduce (-29)/29 to lowest terms. Start by finding the GCD of -29 and 29.

The gcd of -29 and 29 is 29, so (-29)/29 = (29 (-1))/(29×1) = 29/29×-1 = -1:

Answer: m = -1

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3 years ago
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