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IrinaK [193]
3 years ago
14

What is the slope of the line with an equation of 5x - 3y = -12

Mathematics
1 answer:
Hoochie [10]3 years ago
5 0

Answer: m=\frac{5}{3} =1.67

Step-by-step explanation:

  1. Original equation:  5x-3y=-12
  2. Subtract 5x from both sides of the equation: -3y=-5x-12
  3. Divide both sides of the equation by -1: 3y=5x+12
  4. Divide both sides of the equation by 3 to get y on the left, leaving the equation in y=mx+b form: y=\frac{5}{3}x+4
  5. Evaluate. Slope is equal to m in this form, so the slope is m=\frac{5}{3}.

Hope this helps!

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Answer:

Relative frequency:

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The most serious threat to aviation safety is, according to this data, "mechanical failures". It can be improved by more rigorous inspection and better maintenance policies and execution.

Step-by-step explanation:

We have the data for fatal plane crashes. The sum of plane crashes is

We can calculate the relative frequency as:

\text{Pilot error}=415/1370=0.30\\\\\text{Other human error}=96/1370=0.07\\\\\text{Weather}=169/1370=0.12\\\\\text{Mechanical problems}=622/1370=0.45\\\\\text{Sabotage}=68/1370=0.05\\\\

We can see that the most frequent cause is "mechanical problems", with a relative frequency of 0.45.

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See below.

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