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Dmitrij [34]
3 years ago
6

Use the distance formula to find The distance between the points (-1 ,3) and (2,6) write you answear as a square root, do not gi

ve me the decimal

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
6 0

Answer:

d = 3\sqrt{2}

Step-by-step explanation:

The distance formula is d = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}  -y_{1} )^{2}   }

Plug in the points.

d = \sqrt{(2-(-1))^{2}+(6  -3 )^{2}   }

Solve

d = \sqrt{18}

Simplify by separating 18 into 9x2

d = \sqrt{9(2)}

Take the square root of 9 to finish simplifying

d = 3\sqrt{2}

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Answer:

The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place)

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Probability that carbon emissions from the company’s factory exceed the permissible level = 35% = 0.35

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These two events, carbon emissions from the company’s factory and the accuracy of the test are independent events, therefore:

Probability that carbon emissions from the factory are within the permissible level = 1 - 0.35 = 0.65

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Probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is:

0.65 * 0.2975 = 0.193375

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