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Mathematics

1 answer:

tankabanditka [31]3 years ago

5 0

The answer is alternate exterior angles because they are alternate angles and they are the outside of the shape that is formed by the lines and the transversal.

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(6,5), 7x-3y=5 find the equation of the line that contains the given point and is parallel to the line. write the equation in sl

SVEN [57.7K]

Answer:

y = (7/3)x - 9

Step-by-step explanation:

1. Convert given equation to y=mx+b form --> y = (7/3)x - 5/3

2. Equation of new line --> y = (7/3)x + b

Note: 7/3 is the slope and for lines to be parallel they need the same slope so both equations have 7/3.

3. Plug in given values --> 5 = (7/3)(6) + b

4. Solve for b --> b = 5 - 14 b = -9

5. New line --> y = (7/3)x - 9

7 0

3 years ago

The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This dist

alexira [117]

<h3>Answer: 83.85%</h3>

This value is approximate.

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Explanation:

Let's compute the z score for x = 40

z = (x-mu)/sigma

z = (40-47)/7

z = -1

We're exactly one standard deviation below the mean.

Repeat these steps for x = 68

z = (x-mu)/sigma

z = (68-47)/7

z = 3

This score is exactly three standard deviations above the mean.

Now refer to the Empirical Rule chart below. We'll add up the percentages that are between z = -1 and z = 3. This consists of the two pink regions (each 34%), the right blue region (13.5%) and the right green region (2.35%). These percentages are approximate.

34+34+13.5+2.35 = 83.85

Roughly 83.85% of the one-mile roadways have between 40 and 68 potholes.