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AlekseyPX
3 years ago
14

The lines graphed below are perpendicular. The slope of the red line is 3. What is the slope of the green line?

Mathematics
2 answers:
allochka39001 [22]3 years ago
7 0

→Answer:

-1/3

→Step-by-step explanation:

Well this is pretty simple.

2 lines that are perpendicular to each other are both reciprocals of each other.

So what’s the reciprocal of 3?

Ans: -1/3

Nastasia [14]3 years ago
6 0

Answer:

Hey there!

The slope of the green line is -1/3.

Perpendicular lines have opposite reciprocal slope.

Hope this helps :)

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105 + 35m = expression . Apply the distributive property and the greatest common factor to write an equivalent
andrey2020 [161]

Answer:

<h2>35 × (3 + m)</h2>

Step-by-step explanation:

The distributive property:

<em>a × (b + c) = a × b + a × c</em>

105 = 35 × 3

35m = 35 × m

105 + 35m = 35 × 3 + 35 × m = 35 × (3 + m)

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3 years ago
According to a​ survey, 67​% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed
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Answer:

a) P(X=41)= 0.0086 = 0.86%

b) P(36≤X≤38)== 0.1215 = 12.15%

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Step-by-step explanation:

if the random variable X= number of cleared murders , then X follows a binomial distribution:

P(X=x)= n!/[(n-x)!*x!]*p^x*(1-p)^(n-x)

where P(X=x)= probability of x cleared murders, n= number of murders selected=50 , p= probability for a murder to be cleared (67%)

therefore

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b) P(36≤X≤38)= P(X≤38) - P(X≤36) = 0.9371- 0.8156 = 0.1215

c) P(X≤20) = 0.000081

therefore would be unusual that fewer that 20 murders were cleared

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Step-by-step explanation:

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