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3 years ago

Point a is at (-3,-5) and point b is at (1,-9) what is the midpoint of the line segment ab

Mathematics

1 answer:

kupik [55]3 years ago

7 0

Answer:

The midpoint is (-1,-7)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates together and divide by 2

(-3+1)/2 = -2/2 =-1

To find the y coordinate of the midpoint, add the y coordinates together and divide by 2

(-5+-9)/2 = -14/2 =-7

The midpoint is (-1,-7)

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3 years ago

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3 years ago

The amount of time it takes Ariana to do a math problem is continuous and uniformly distributed between 38 seconds and 79 second

solniwko [45]

Answer:

29.27% probability that it takes Ariana between 58 and 70 seconds to do a math problem

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d, d being greater than c, is given by the following formula:

$P(c \leq X \leq d) = \frac{d-c}{b-a}$

Uniformly distributed between 38 seconds and 79 seconds.

This means that $a = 38, b = 79$

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$c = 58, d = 70$

$P(58 \leq X \leq 70) = \frac{70 - 58}{79 - 38} = 0.2927$

29.27% probability that it takes Ariana between 58 and 70 seconds to do a math problem

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3 years ago