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3 years ago

Use substitution to solve the system equation. n=3m-11 2m+3n=0

Mathematics

1 answer:

prohojiy [21]3 years ago

6 0

Answer:

m = 3, n = -2.

Step-by-step explanation:

Substitute n = 3m - 11 in the second equation:

2m + 3(3m - 11) = 0

2m + 9m - 33 = 0

11m = 33

m = 3.

Substitute for m in n = 3m-11:

n = 3(3) - 11

n = -2.

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tatuchka [14]

Answer:

C. 0.10

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Goes to the city playoffs

Event B: Goes to the state playoffs.

In Littletown, the probability that a baseball team goes to the city playoffs is 0.20.

This means that $P(A) = 0.2$

The probability that the team goes to the state playoffs given that the team goes to the city playoffs is 0.50.

This means that $P(B|A) = 0.5$

What is the probability that a randomly selected team from Littletown goes to the city and state playoffs?

This is $P(A \cap B)$ . So

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

$P(A \cap B) = P(A)*P(B|A) = 0.2*0.5 = 0.1$

The correct answer is given by option C.

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Answer:

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Step-by-step explanation:

we know that

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Step-by-step explanation:

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