The system of equations shown is solved using the linear combination method

1 answer:

4 0

Answer: When a system of two linear equations gives an answer of $0=0$ , there are infinitely many solutions. It also means that the graph represents parallel lines, so the answer is the third choice.

Step-by-step explanation: When it comes to systems of equations in algebra, you will see three types of solutions:

1. When you get an exact value & number for x and y, the system has one solution and is consistent/independent.

2. When you get $0=0$ like in this case, the system has infinitely many solutions and is consistent/dependent.

3. When you get numbers that are not equal, for example, $3\neq 5$ , you have many solutions and the system is inconsistent/independent.

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When Alice spends the day with the babysitter, there is a 0.6 probability that she turns on the TV and watches a show. Her littl

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Answer:

a) There is a 48% probability that both Alice and Betty watch TV tomorrow.

b) There is a 48% probability that Betty watches TV tomorrow.

c) There is a 12% probability that only Alice watches TV tomorrow.

Step-by-step explanation:

We have these following probabilities:

A 60% probability that Alice watches TV.

If Alice watches TV, an 80% probability Betty watches TV.

If Alice does not watch TV, a 0% probability that Betty watches TV, since she cannot turn the TV on by herself.

a) What is the probability that both Alice and Betty watch TV tomorrow?

Alice watches 60% of the time. Betty watches in 80% of the time Alice watches. So:

$P = 0.6*0.8 = 0.48$

There is a 48% probability that both Alice and Betty watch TV tomorrow.

b) What is the probability that Betty watches TV tomorrow?

Since Betty only watches when Alice watches(80% of the time), this probability is the same as the probability of both of them watching. So

$P = 0.6*0.8 = 0.48$

There is a 48% probability that Betty watches TV tomorrow.

c) What is the probability that only Alice watches TV tomorrow?

There is a 60% probability that Alice watches TV tomorrow. If she watches, there is an 80% probability that Betty watches and a 20% probability she does not watch.

$P = 0.6*0.2 = 0.12$