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iris [78.8K]
2 years ago
8

Write an equation of the line that passes through a pair of points (5, -2) , (4,5)

Mathematics
1 answer:
sergeinik [125]2 years ago
3 0

Answer:

y = -7x + 33

Step-by-step explanation:

<u>Use the Point Slope Form:  (y - y1) = m(x - x1)</u>

<u />

<u>Step 1:  Find the Slope</u>

Slope = \frac{y2 - y1}{x2 - x1}

Slope = \frac{5 - (-2)}{4 - 5}

Slope = \frac{5 + 2}{-1}

Slope = \frac{7}{-1}

Slope = -7

<u>Step 2:  Plug into the point slope form</u>

(y - 5) = -7(x - 4)

y - 5 + 5 = -7x + 28 + 5

y = -7x + 33

Answer:  y = -7x + 33

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A plumber's daily earnings have a mean of $145 per day with a standard deviation of $16.50.
avanturin [10]

Step-by-step explanation:

The plumber's daily earnings have a mean of $145 per day with a standard deviation of

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We want to find the probability that the plumber earns between $135 and

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This means that:

P(135  \: <  \: X  \: <  \: 175) = P( \frac{135 - 145}{16.5}  \: <  \:  z \:  <  \frac{175 - 145}{ 16.5} )

We simplify to get:

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From the standard n normal distribution table,

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To find the area between the two z-scores, we subtract to obtain:

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This means that:

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Read 2 more answers
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