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mylen [45]
3 years ago
5

T sanger's auto garage, three out of every five cars brought in for service need an oil change. of the cars that need an oil cha

nge, four out of every seven also need a tire rotation. what is the probability that a car that comes into the garage needs both an oil change and a tire rotation? give the answer in fraction form.
Mathematics
1 answer:
ra1l [238]3 years ago
4 0
Probability of an oil change: 3/5. Probability of a tire rotation: 4/7.
3/5*4/7=12/35 chance.
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The standard form:

Ax+By=C

The point-slope form:

y-y_1=m(x-x_1)

m - slope

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The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (2, -3) and (4, 2). Substitute:

m=\dfrac{2-(-3)}{4-2}=\dfrac{5}{2}

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y+3=\dfrac{5}{2}(x-2)       <em>use distributive property</em>

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2y+6=5x-10                     <em>subtract 6 from both sides</em>

2y=5x-16         <em>subtract 5x from both sides</em>

-5x+2y=-16          <em>change the signs</em>

\boxed{5x-2y=16}

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Step-by-step explanation:

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