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Vsevolod [243]
3 years ago
5

How can the radian measure of an angle determine the arc length on the unit circle?

Mathematics
1 answer:
Darina [25.2K]3 years ago
8 0
A unit circle is the one which has radius equal to 1.

The relation between radius of circle (r), the arc length (s) and the radian measure of angle made by arc (Ф) is given as:

s = rФ

For a unit circle, r = 1, so the above equation becomes:

s= Ф

This means, the arc length will be equal to the angle made by that arc in radians.
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The weights of tennis balls are normally distributed, with the mean being 5.15 ounces and the standard deviation being 0.10. wha
Llana [10]

The correct option is B.

Thus, 68% percentage of the balls weigh within one standard deviation of the mean.

<h3>What is the empirical formula rule?</h3>

The Empirical Rule indicates that 99.7% of data that are observed to have a normal distribution fall within 3 standard deviations of the mean. According to this formula, 68 percent of the data are within one standard deviation, 95 percent are within two standard deviations, and 99.7 percent are within three standard deviations of the mean.

<h3>According to the empirical formula rule:</h3>

Because approximately 68% of the data falls within a standard deviation of the mean, according to the empirical rule, 68% of the balls' weights fall within that range.

To know more about empirical formula rule visit:

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I understand that the question you are looking for is:

The weights of tennis balls are normally distributed, with the mean being 5.15 ounces and the standard deviation being 0.10. what percentage of the balls weigh within one standard deviation of the mean

A. 50%

B. 68%

C. 95%

D. 99.7%

7 0
2 years ago
Joni earns $300 per week. If she gets a 25% raise, how much more money will she earn each week?
alina1380 [7]

Answer:

\huge\boxed{$75}$75

Step-by-step explanation:

Joni currently earns $300 per week (given)

To find how much more she will earn each week, write an expression adding the original pay and the raise amount.

$300 + 25%

Find 25 as a decimal for multiplication

25%  = 25/100 = 0.25

Write an expression to represent the scenario

Expression example 1:

$300 + 0.25(300)

This expression adds the original pay and the new raise together.

Expression example 2:

$300 (1.25)

This expression already takes the new pay into account by finding 125% of the original pay.

Simplify both expressions

Expression 1:

$300 + 0.25(300)

$300 + $75

$375

Expression 2:

$300 (1.25)

$375

Both expressions represent the same scenario and therefore come out to the same result. Now that we know how much Joni made after the raise, we need to find how much more money she will earn in a week with the following equation.

New amount - original amount = amount increase

Substitute known values into the equation

$375 - $300

Simplify

$75

Joni will earn $75 more each week.

Let me know if you have any questions!

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First, find the area of the plot.

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The ratio of the scale to the plot is 1 inch : 2 feet

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C is the correct answer. Vertical angles.
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