if 40 percent of a circle is taken what would be the angle you would draw to represent 40 percent of the circle

1 answer:

6 0

If you mean 40% of the circle with the rotation at the center of the circle, then you do this:
Measure of circle: 360°
Amount of circle's measure: 40%
360 * 40% = 144°

Thus, to take up 40% of the circle you need to have an angle measure of 144°.

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The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of peopl

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Answer:

1.) .399

2.) {.369, .429}

Step-by-step explanation:

The proportion of criminals in this sample that were caught was $\frac{286}{716}$ =.39944, .399 rounded to three decimal places.

To construct the confidence interval, you need three pieces of information: the statistic, the critical value, and the standard error.

The statistic is given in the first part of the problem with the proportion of criminals in the sample that were caught was .399.

The critical value, we are told, is the z equivalent of 90%, or 1.645. You can find this value using a z table or with the inverse normal function on a calculator.

Finally, we need the standard error. The formula for standard error for a proportion with a single population is $\sqrt{\frac{(proportion)(1-proportion)}{sample size} }$ so in this situation it would be $\sqrt{\frac{(.399)(.601)}{716} }$ =.0183.