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kupik
1 month ago
5

En una cancha se va a pintar la circunferencia central que tiene un diámetro de 5 m .¿cual es la longitud de la circunferencia?

Mathematics
1 answer:
Leona [12.6K]1 month ago
4 0

Answer:

The measurement of the circumference is 5\pi\ m  or 15.70\ m

Step-by-step explanation:

The inquiry in English is

On a court, the main circumference is to be painted, with a diameter of 5 m. What is the circumference length?

we understand that

The circumference of a circle can be calculated with the formula

C=\pi D

we possess

D=5\ m

replace

C=\pi (5)\\C=5\pi\ m

This results in the precise measurement

let's consider

\pi=3.24

C=5(3.14)=15.70\ m

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Step-by-step breakdown:

Previous concepts

A confidence interval represents a range that is likely to encompass a population value within a specific confidence level, typically expressed as a percentage whereby a population mean falls between an upper and lower limit.

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\bar X=172 denote the sample mean

\mu population mean (the variable of interest)

s=16 signifies the sample standard deviation

n=23 represents the sample size  

The solution to the query

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

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

To determine the critical value t_{\alpha/2}, we first need to calculate the degrees of freedom, which is expressed as:

df=n-1=23-1=22

Since the confidence level is 0.98 or 98%, we find the value of \alpha=0.02 and \alpha/2 =0.01 using tools like Excel or a calculator, where the Excel command would be: "=-T.INV(0.01,22)". This yields t_{\alpha/2}=2.51

Having all components ready, we can substitute into formula (1):

172-2.51\frac{16}{\sqrt{23}}=163.626    

172+2.51\frac{16}{\sqrt{23}}=180.374

Thus, for this case, the 98% confidence interval will be (163.626;180.374)    

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