Rewrite the formula for the circumference of a circle C=2xpix r in terms of its diameter d. Show your work.

2 answers:

ozzi4 years ago

7 0

Hi there!

The answer is
$circumference \: = d\pi$
In this formula d represents the diameter.

We know that 2 times the radius equals the diameter, hence
$2r = d$

Therefore we can replace the 2r in the original formula by d, and then we get the following:
$circumference = 2\pi \: r = 2r\pi = d\pi$

Keith_Richards [23]4 years ago

3 0

Diameter = 2·radius

С = 2·π·r ⇒ С = π·d

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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.

==========================================================

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

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