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Goshia [24]
3 years ago
15

A- (2, -3) B- (2, -1) C- (5, -3) D- (7, -1) PLEASE HELP!!!

Mathematics
1 answer:
Aneli [31]3 years ago
3 0

Answer:

Step-by-step explanation:

Line segment divided into 5:3 ratio, so one segment is ⅝ of AB and one segment is ⅜ of AB.

Compare the coordinates of A and B.

change in x-coordinates = 10-2 = 8

change in y-coordinates = 2-(-6) = 8

⅝ of 8 = 5, so x-coordinate of C = (x-coordinate of A) + 5 = 7, and y-coordinate of C = (y-coordinate of A) + 5 = 1

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​If Alfie tosses the paper cup more times, what is the expected ​number of times that the cup will land on its side?
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Question:

Alfie tossed a paper cup in the air 150 times and recorded the side it landed on.

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Answer:

The expected number of times the cup will land on its side is 25 times

Step-by-step explanation:

Given

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Upside\ down = 53

Side = 37

Required

First, we calculate the probability of landing on side

P(Side) = \frac{n(Side)}{Total}

P(Side) = \frac{37}{150}

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Next, we calculate the expected value; E(x) using:

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n = 100 and P(x) = P(Side) = 0.247

So:

E(x) = 100 * 0.247

E(x) = 24.7

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<em>Hence, it is expected that it will land on its side 25 times</em>

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