Is area a function of the radius ? Is radius a function of area?

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

4 0

Answer: The area (A) of a circle is a function of its radius (r) and is given by the function A = f(r) = πr2.

Step-by-step explanation: google help

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Tyler bought shoes for $72. The next week he noticed that the price went

maria [59]

Answer:

Percent increase is 21%

Step-by-step explanation:

Initial cost of shoes = $72

New price of shoes = $87

Increase in price of shoes = New price of shoes - Initial cost of shoes

= $87-72$

= $15

Percentage increase in price of shoes = ( Increase in price of shoes ÷ Initial cost of shoes) × 100

= $\frac{15}{72}(100)=20.8\%$

≈ 21%

So, percent increase is 21%

4 0

3 years ago

Find the critical value needed to construct a 95% CI of a population mean with an unknown standard deviation and a sample size o

kaheart [24]

Answer:

$t_{\alpha/2}=-2.02, t_{1-\alpha/2}=2.02$

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

In order to find the critical value we need to take in count that we are finding the critical value for the population mean and without the standard deviation, so on this case we need to use the t distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . We need to calculate the degrees of freedom are given by: