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dezoksy [38]
3 years ago
9

1. Mrs. Gonzalez signed up to bring two dozen cupcakes for the school bake sale. She made one dozen, but her children ate three

of the cupcakes. What expression used to determine, .c the number of cupcakes Mrs. Gonzalez needs to bake?​
Mathematics
1 answer:
deff fn [24]3 years ago
3 0

Answer:

4

Step-by-step explanation:

It is half of 8

A dozen is 12 if there's 2 that's 24 cakes

If they ate 3 now it's 21

Decide that by 3 now it is 8

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A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. If they randomly decide who will
Eddi Din [679]

Answer:

D. 0.821

Step-by-step explanation:

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

The combinations formula is important to solve this question:

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)!}

Desired outcomes

The order is not important. For example, Elisa, Laura and Roze is the same outcome as Roze, Elisa and Laura. This is why we use the combinations formula.

At least 3 girls.

3 girls

3 girls from a set of 5 and 2 boys from a set of 3. So

C_{5,3}*C_{3,2} = 30

4 girls

4 girls from a set of 5 and 1 boy from a set of 3. So

C_{5,4}*C_{3,1} = 15

5 girls

5 girls from a set of 5

C_{5,5} = 1

D = 30+15+1 = 46

Total outcomes

5 from a set of 8. So

T = C_{8,5} = 56

Probability

P = \frac{D}{T} = \frac{46}{56} = 0.821

So the correct answer is:

D. 0.821

6 0
3 years ago
Read 2 more answers
The manager of a radio station decides that on each successive evening (7 days per week), a Beethoven piano sonata will be playe
VashaNatasha [74]

Answer:

3 years, 11 months and 10 days

Step-by-step explanation:

Beethoven wrote

32 piano sonatas

9 symphonies

5 piano concertos

By the fundamental principle of counting there are

32 times 9 times 5 ways of combining these pieces in the required order.

32 times 9 times 5 = 1,440

As there are 365 days in a year, the policy decided by the manager could be continued during

1,440/365 = 3.9452 years.

But 3.9452 years = 3 years + 0.9452 years.

As 1 year equals 12 months

0.9452 years = 11.3424 months

11.3424 months = 11 months+0.3424 months

As 1 month = 30 days

0.3424 months = 10.27 days = 10 days rounded to the nearest integer

So, the manager could continue this policy for

3 years, 11 months and 10 days without repeating the program.

8 0
3 years ago
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user100 [1]
El pedazo que esta mas grande es 1/2, inclui una foto para que te pueda ayudar.

5 0
3 years ago
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What is the simplified form of the equation fraction 4 over 5 n minus fraction 3 over 5 equals fraction 1 over 5 n?
vfiekz [6]
I believe the answer is A) N=1

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At Cheng's Bike Rentals, it costs $24 to rent a bike for 5 hours. How many dollars does it cost per hour of bike use?
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Answer: $4.80

Step-by-step explanation:

24/5 = 4.8

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