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aleksandr82 [10.1K]
3 years ago
6

The value of y varies directly with x, and y=10 when x=4. Find x when y=14.

Mathematics
1 answer:
damaskus [11]3 years ago
5 0
y=10\ \ \ and\ \ \ x=4\\\\
y=14\ \ \ and\ \ \ x=?\\\\
Making\ ratio:\\
10-4\\14-x\\\\
Cross\ multiplication:\\
10x=4*14\\
10x=56\ \ \ |Divide\ by\ 10\\x=5,6\\\\solution\ is\ x=5,6.
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Using it's concept, it is found that there is a 0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, there are 15 bottles.

  • 5 are orange, hence the is a 5/15 = 1/3 probability that the coach gets orange, hence P(A) = 1/3.
  • After the coach, there will be 14 bottles remaining, of which 4 are orange, hence the probability that the friend gets orange is of P(B) = 4/14 = 2/7.
  • For you, there will be 13 bottles remaining, of which 5 will be of fruit-punch, hence the probability you get fruit-punch is of P(C) = 5/13.

The probability of the three outcomes occurring is given by:

p = \frac{1}{3} \times \frac{2}{7} \frac{5}{13} = \frac{10}{273} = 0.0366

0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

6 0
2 years ago
Solve t/he system of linear equations given by x + y = 1 and ax − by = c, where a, b, c are real numbers. Note: The solution in
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Answer:

see explanation

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Substitute x = 1 - y into (2)

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y(a + b) = a - c ← divide both sides by (a + b)

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x = 1 - \frac{a-c}{a+b} = \frac{a+b}{a+b} - \frac{a-c}{a+b} = \frac{a+b-a+c}{a+b} = \frac{b+c}{a+b}

8 0
3 years ago
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So we can see from the figure that y=-2 is the line which cuts the figure in to equal halves

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