Point A lies on coordinates (-2,5) and point B lies on coordinates (8,13). What is the coordinates of midpoint of line AB?

Mathematics

1 answer:

Semmy [17]3 years ago

7 0

Step-by-step explanation:

Let P (x, y) be the mid point of line segment AB.

$\therefore \:P (x, y) = ( \frac{ x_1 +x_2}{2} , \: \: \frac{y_1 +y_2}{2} ) \\ \\ \therefore \:P (x, y) = ( \frac{ - 2 +8}{2}, \: \: \frac{5 +13}{2} ) \\ \\ \therefore \:P (x, y) = ( \frac{ 6}{2}, \: \: \frac{18}{2} ) \\ \\ \therefore \:P (x, y) = ( 3 , \: \: 9 ) \\ \\$

Thus, the coordinates of the mid point P of line segment AB is (3, 9).

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MAXImum [283]

Answer:

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Step-by-step explanation:

To solve this question, we use the following formula:

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

In which P(A|B) is the probability of A happening, given that B has happened, $P(A \cap B)$ is the probability of A and B happening, and P(B) is the probability of B happening.

In this problem, we want:

The probability of the total life of the car battery exceeding 20,000 miles, given that it exceeded 10,000 miles.

$P(A \cap B)$ is the probability of exceeding 20,000 and 10,000 miles. It is the same as the probability of exceeding 20,000 miles(If it exceeded 20,000 miles, necessarily it will have exceeded 10,000 miles). So $P(A \cap B) = 0.4$