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Kryger [21]
3 years ago
7

Find the x-Intercept and the y-Intercept of the line below. Click on "None" if applicable. None

Mathematics
2 answers:
Oksana_A [137]3 years ago
6 0

Answer:

X-intercept is (2,0)

Y-intercept is (0,-2)

Step-by-step explanation:

The x intercept is the point at which the line hits the x-axis

in this picture, you can see that the given line hit the x-axis at (2,0)

The y intercept is the point at which the line hits the y-axis

so in this case you can see the the line hits the y-axis at (0,-2)

Bonus: if a line is horizontal it will not have an x intercept, and if a line is vertical, it will not have ay intercept

PSYCHO15rus [73]3 years ago
3 0

Answer: X-intercept is (2,0)

Y-intercept is (0,-2)

Step-by-step explanation:

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Answer:

a) 80% probability that he wins at least one race.

b) 30% probability that he wins exactly one race.

c) 20% probability that he wins neither race.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that he wins the first race.

B is the probability that he wins the second race.

C is the probability that he does not win any of these races.

We have that:

A = a + (A \cap B)

In which a is the probability that he wins the first race but not the second and A \cap B is the probability that he wins both these races.

By the same logic, we have that:

B = b + (A \cap B)

The probability that he wins both races is 0.5.

This means that A \cap B = 0.5

The probability that he wins the second race is 0.6

This means that B = 0.6

B = b + (A \cap B)

0.6 = b + 0.5

b = 0.1

The probability that he wins the first race is 0.7.

This means that A = 0.6

A = a + (A \cap B)

0.7 = a + 0.5

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A) he wins at least one race.

This is

P = a + b + (A \cap B) = 0.2 + 0.1 + 0.5 = 0.8

There is an 80% probability that he wins at least one race.

B) he wins exactly one race.

This is

P = a + b = 0.2 + 0.1 = 0.3

There is a 30% probability that he wins exactly one race.

C) he wins neither race

Either he wins at least one race, or he wins neither. The sum of these probabilities is 100%.

From a), we have that there is an 80% probability that he wins at least one race.

So there is a 100-80 = 20% probability that he wins neither race.

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