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jenyasd209 [6]
2 years ago
13

A popular art teacher at a school asks a sample of students if they would be interested in taking an art class next year. Of the

30 students he ​asks, 85​% are in one of his art classes this year. Only 15​% of the students in the school are in one of his art classes this year. Will this sample be​ biased? *
​Yes, because students who are in one of his art classes this year will be more likely to take one of his art classes next year.
​No, because students who are in one of his art classes this year will be less likely to take one of his art classes next year.
​Yes, because students who are in one of his art classes this year will be less likely to take one of his art classes next year.
​No, because students who are in one of his art classes this year will be more likely to take one of his art classes next year.
Mathematics
1 answer:
BabaBlast [244]2 years ago
7 0

Answer:

​Yes, because students who are in one of his art classes this year will be more likely to take one of his art classes next year.

Step-by-step explanation:

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Given right triangle A w/a hypotenuse length of 3y + x and a leg of y-x, and right triangle B, w/ a hypotense length of y+5 and
SpyIntel [72]
Triangle A

hypotenuse: 3y + x
leg: y - x

Triangle B

hypotenuse: y + 5
leg: x + 5

Congruency => 3y + x = y + 5 and y - x = x + 5

Solve the system

3y + x = y + 5 -> 2y + x = 5
y - x = x + 5 -> y - 2x = 5

  2y + x = 5
-2y + 4x = -10

5x = -5
x = -1
y = (5 -(-1)) / 2 = 6/2 = 3

Verify:

 hypotenuses
3y + x = 9 - 1 = 8
y + 5 = 3 + 5 = 8

Legs:

y - x = 3 -(-1) = 3 + 1 = 4
x + 5 = -1 + 5 = 4.

Then both hypotenuses and both legs are congruent.

Answer: x = -1 and y = 3


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