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mixas84 [53]
3 years ago
14

Which of the following statements best describes the graph of x + y = 4?

Mathematics
1 answer:
joja [24]3 years ago
5 0

Answer: The correct option is, It is a line joining the points whose x and y coordinates add up to 4.

Step-by-step explanation:

The given equation is, x+y=4

when we take x = 1 then

1+y=4

y=3

when we take x = 2 then

2+y=4

y=2

From this we conclude that the sum of 'x' and 'y' coordinates is always equal to 4.

Hence, the correct answer is, It is a line joining the points whose x and y coordinates add up to 4.

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180 students in a tenth grade high school class take a survey about which video game consoles they own.
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Answer:

P(A) = 44.44%

P(B) = 50%

P(B|A) = 37.5%

P(B|A) different from P(B).

A and B are independent.

Step-by-step explanation:

If we have a total of 180 students, and 80 of them have a Playstation, we have that P(A) = 80/180 = 0.4444 = 44.44%

If we have 90 students that have a Xbox, we have that P(B) = 90/180 = 0.5 = 50%

If we have 30 students that have both consoles, we have that P(A and B) = 30/180 = 0.1667 = 16.67%

To find P(B|A), we will find for a student that has an Xbox inside the group of students that has a Playstation, that is, we have 30 students in a total of 80 students, so P(B|A) = 30/80 = 0.375 = 37.5%

P(B|A) is different from P(B), the first is 37.5% and the second is 50%, so events A and B are independent events.

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3 years ago
Line "AB" and line "CD" are perpendicular and intersect at point P. What is the measure of angle APC?​
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Answer:

APC is 90 degrees

Step-by-step explanation:

When lines intersect and are perpendicular. that means the angle of intersection is 90 degrees.

APC is 90 degrees

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