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Anettt [7]
2 years ago
10

bob is having a party and want to order some cake. there will be 57 guest and he wants to make sure that everyone gets a slice o

f cake. he wants to pay as little as possible for the cakes and for them to be the same size. First cake 20cm, serve 12 people and cost £13.50, second cake 25cm, serve 20 people and cost £18.75
Mathematics
1 answer:
Leviafan [203]2 years ago
4 0
<span>Bob should by the 25cm cake for 18.75 each. He will need to buy 3 of these cakes in order to feed 57 guests. The total cost would be 56.25. If he were to buy the 20cm cake, he would need to purchase 5 cakes for a total of 67.50.</span>
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List at least three (3) characteristics of carbon that make it a unique element.
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1.) Carbon Compounds are the backbone of all organic compounds that are the basic building blocks of all living things.

2.) The diamond allotropic form of carbon is the hardest substance known. 

3.) Carbon has the ability to form covalent bonds with other carbon atoms forming continuous chains, branches, and loops 
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The area of the surface of the swimming pool is 210 square feet. what is the lenght d of the deep end (in feet)?
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Pick the description of a geometric object that best matches the real-world object:
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E ) a three-dimensional box-shaped figure, with six identical square faces

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Callie was billed $416.48 for car repairs. She will pay the service center in 4 equal monthly installments from her bank account
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Answer:

her monthly payments will be $104.12

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It is claimed that 55% of marriages in the state of California end in divorce within the first 15 years. A large study was start
kykrilka [37]

Answer:

0.0045 = 0.45% probability that less than two of them ended in a divorce

Step-by-step explanation:

For each marriage, there are only two possible outcomes. Either it ended in divorce, or it did not. The probability of a marriage ending in divorce is independent of any other marriage. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which 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)!}

And p is the probability of X happening.

55% of marriages in the state of California end in divorce within the first 15 years.

This means that p = 0.55

Suppose 10 marriages are randomly selected.

This means that n = 10

What is the probability that less than two of them ended in a divorce?

This is

P(X < 2) = P(X = 0) + P(X = 1)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.55)^{0}.(0.45)^{10} = 0.0003

P(X = 1) = C_{10,1}.(0.55)^{1}.(0.45)^{9} = 0.0042

P(X < 2) = P(X = 0) + P(X = 1) = 0.0003 + 0.0042 = 0.0045

0.0045 = 0.45% probability that less than two of them ended in a divorce

8 0
1 year ago
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