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2 years ago

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A student measures an angle that turns through 29/360 of a circle. The student says the angle measures 29°. Is the student corre

ct or incorrect and why?

1 answer:

RSB [31]2 years ago

5 0

Answer:

I think you have a typo in your problem. I believe you are asking about 29% of the circle.

In that case, it would by 29% of 360 or 0.29 x 360 = 104.4

29% is not the same as 29 degrees.

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Answer:

Option (1). 34°

Step-by-step explanation:

From the figure attached, CE and CD are the radii of the circle C.

Central angle CED formed by the intercepted arc DE = 68°

Since measure of an arc = central angle formed by the intercepted arc

Therefore, m∠CED = 68°

Since m∠EFD = $\frac{1}{2}(m\angle ECD)$ [Central angle of an intercepted arc measure the double of the inscribed angle by the same arc]

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2 years ago

You have just timed a person doing a hair cut for the first time. It took 50 minutes. What unit improvement factor learning curv

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2 years ago

The average annual cost of the first year of owning and caring for a large dog is $1,843 (US News and World Report, September 9,

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Answer:

a. Error is 0.14

b. between 1913.68 to 1772.32

Step-by-step explanation:

Requirement a)

The margin of error is a statistic expressing the amount of random sampling error in a survey's results.

Given,

Size of the sample n = 50

We know, At 95% confidence interval,

The margin of error,

= 0.98/√n

= 0.98/√50

= 0.98/7.07

= 0.13859 ~ 0.14

So the margin of error at 95% confidence level is 0.14.

Requirement b)

Given,

Standard deviation σ = 255

Population mean z = 1814

Size of the sample n = 50

We know, At 95% confidence interval,

(z-µ)/(σ/√n) < Z_0.05

= - Z_0.05 < (z-µ)/(σ/√n) < Z_0.05

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= - 1.96 * 255/√50 < Z-µ < 1.96 * 255/√50

= -70.6828 < Z-µ < 70.6828

= 70.6828 > µ - Z > -70.6828

= 70.6828 + Z > µ > -70.6828 + Z

= 70.6828 + 1814 > µ > -70.6828 + 1814

=1913.68 > µ > 1772.32

So, the sample mean would be between 1913.68 to 1772.32.

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