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3 years ago

What is the arc length of a segment of a circle with a central angle of 165° and a radius of 3 inches?

Mathematics

1 answer:

Lerok [7]3 years ago

6 0

Answer:

11π/4 (radians) or 495° (degrees)

Step-by-step explanation:

Convert 165° to radians:

165 * π/180 = 165π/180 = <em>11π/12</em>

s = r/Ф

arc length = 3(11π/12) = 33π/12 = 11π/4

Convert back to degrees if asked to:

11π/4 * 180/π = 495° (Note that this is 165° * 3, see the pattern?)

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3 years ago

Find the indicated angle please help (multiple choice)

Taya2010 [7]

Answer:

Step-by-step explanation:

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3 years ago

A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo

never [62]

Answer:

A sample of 997 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that $\pi = 0.08$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a p-value of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}$

$0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}$

$\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2$

$n = 996.3$

Rounding up:

A sample of 997 is needed.

3 0

3 years ago

Is -20 an irrational number or rational number

Gekata [30.6K]

Answer: Rational number

Step-by-step explanation:

Let's write out the properties of rational and irrational numbers.

Rational

Integers
Whole numbers
finite decimals
repeating decimals

Irrational

not rational numbers

------------------------------------------------------------------------------------------------------------

Looking at the list we made, we can say that -20 is a rational number. -20 is an integer and a whole number. Therefore, it is a rational number.

3 0

3 years ago

Read 2 more answers

Construct a 99% confidence interval for the population standard deviation of white blood cell count (in cells per microliter). A

kogti [31]

Answer:

The correct option is 1.148 < σ < 6.015

Explanation:

The 99% confidence interval for the standard deviation is given below:

$\sqrt{\frac{(n-1)s^{2}}{\chi^{2}_{\frac{0.01}{2} }} }$