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Varvara68 [4.7K]
3 years ago
5

RJ’s soccer team has a record of winning 2 matches for every 3 they lose. If the team lost 15 matches during the season, how man

y matches did they win?
Mathematics
1 answer:
g100num [7]3 years ago
6 0

Answer:

They won 10 matches.

Step-by-step explanation:

The ratio is 2 wins to 3 losses.

You can use a proportion.

2 wins is to 3 losses as x wins is to 15 losses.

2/3 = x/15

3x = 2 * 15

3x = 30

x = 10

Answer: 10 wins

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A certain company sends 35% of its overnight mail parcels via express delivery service 1 and the rest by express delivery servic
sineoko [7]

Answer:

55.32% probability that a late package was delivered by express delivery service 2

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Late delivery.

Event B: Service 2 was used.

A certain company sends 35% of its overnight mail parcels via express delivery service 1 and the rest by express delivery service 2.

100 - 35 = 65%.

So P(B) = 0.65

Service 2 has a record of 2.0% of packages being delivered late.

This means that P(A|B) = 0.02

Probability of a late delivery.

35% from service 1. Of those, 3% are late.

65% from service 2. Of those, 2% are late.

So

P(A) = 0.35*0.03 + 0.65*0.02 = 0.0235

What is the probability that a late package was delivered by express delivery service 2

P(B|A) = \frac{0.65*0.02}{0.0235} = 0.5532

55.32% probability that a late package was delivered by express delivery service 2

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Given the equation below, which of the following shows the quadratic formula
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Answer:

Step-by-step explanation:

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