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Degger [83]
3 years ago
14

What is the area of the circle?

Mathematics
1 answer:
hodyreva [135]3 years ago
4 0

Diameter = radius x 2

So, the radius is half of the denominator.

10 / 2 = 5

A = pi x r^2

A = pi x 5^2

A =  3 x 25

A = 75 ft^2

Hope this helps!

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You have measured the systolic blood pressure of a random sample of 25 employees of a company located near you. A 95% confidence
Alla [95]

Answer:

122 \leq \mu \leq 138

The 95% confidence interval would be given by (122;138)

And the correct interpretation for this case is:

c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

Step-by-step explanation:

Previous concepts

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 % where by 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".  

Solution to the problem

The confidence interval for the mean is given by the following formula:  

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}} (1)  

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:  

df=n-1=25-1=24  

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that t_{\alpha/2}=2.06  

Now we have everything in order to replace into formula (1), for this case we got:

122 \leq \mu \leq 138

The 95% confidence interval would be given by (122;138)

And the correct interpretation for this case is:

c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

6 0
3 years ago
In which data set is the mean equal to the median?
sdas [7]

Answer:

The number in the middle

5 0
2 years ago
Whats 14/3 simplified to
devlian [24]

Answer:

4.666667

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
When shopping for a baby doll for her daughter, Ms. Martin found that the price of six baby dolls was less than $118. Which of t
otez555 [7]
The answer would be 6 × b < $118, since the price, b, of six dolls is less than (<) $118.
7 0
3 years ago
Read 2 more answers
Divide 1/3 yd by 9/13 ? please show work
babunello [35]

Answer:

13/27

Step-by-step explanation:

1/3 ÷ 9/13

Copy dot flip

1/3 * 13/9

13/27

5 0
3 years ago
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