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lakkis [162]
4 years ago
12

A line has a slope of -1/4 and passes through point (-5/4,1) what is the equation of the line?

Mathematics
1 answer:
solniwko [45]4 years ago
7 0

Answer:

The correct answer is B. y = -1/4x + 11/16

Step-by-step explanation:

In order to find this, we must plug in the slope and the point into point-slope form. We can then solve for slope intercept form.

y - y1 = m(x - x1)

y - 1 = -1/4(x - -5/4)

y - 1 = -1/4(x + 5/4)

y - 1 = -1/4x - 5/16

y = -1/4x + 11/16

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Answer:

34% of lightbulb replacement requests numbering between 47 and 52

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

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In this problem, we have that:

Mean = 52

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By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean.

Since the normal distribution is symmetric, of those, 34% are within 1 standard deviation below the mean and the mean(47 and 52) and 34% are within the mean and one standard deviation above the mean(52 and 57).

So

34% of lightbulb replacement requests numbering between 47 and 52

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