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RoseWind [281]
2 years ago
12

Find the area of the figure to the nearest tenth. 125° 6 in

Mathematics
1 answer:
mariarad [96]2 years ago
8 0
Area of the complete circle is pi • r^2
= 3.14•6^2
= 3.14•36
= 113 in^2

What portion of the complete circle do you need to calculate? 125/360

113•125/360 = 39.3 in^2

Answer is A
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You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on con
AlladinOne [14]

Using the z-distribution, a sample size of 180 is needed for the estimate.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

The margin of error is given by:

M = z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

In this problem, we have a 98% confidence level, hence\alpha = 0.98, z is the value of Z that has a p-value of \frac{1+0.98}{2} = 0.99, so the critical value is z = 2.327.

The population standard deviation is of \sigma = 23, and to find the sample size, we have to solve for n when M = 4.

Hence:

M = z\frac{\sigma}{\sqrt{n}}

4 = 2.327\frac{23}{\sqrt{n}}

4\sqrt{n} = 2.327 \times 23

\sqrt{n} = \frac{2.327 \times 23}{4}

(\sqrt{n}) = \left(\frac{2.327 \times 23}{4}\right)^2

n = 179.03.

Rounding up, as a sample size of 179 would result in an error slightly above 4, a sample of 180 is needed.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0
2 years ago
Elena compró 34 de kilogramos de manzanas, 12 kilogramo de mangos y 2 kilogramos de naranjas. ¿Cuántos kilogramos de fruta compr
Oduvanchick [21]

Answer: 48 kilogramos de fruta

Step-by-step explanation:

Hola, para resolver este problema simplemente hay que sumar las cantidades de cada fruta:

Kilos de manzanas + kilos de mangos+ kilos de naranjas:

Matemáticamente hablando:

34+12+2 = 48 kg

Elena compro 48 kilogramos de fruta en total.

Si quedo alguna duda no dudes consultar con un comentario.

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%5Cleq%201%5C%5Cy-x%5E%7B2%7D%5C%20%20%5Ctextgreater%20%5C%200" id
Ilya [14]

Answer:

hi how are you

good afternoon

7 0
3 years ago
Is 1/6 greater than 1/3
____ [38]
No, 1/3 is greater than 1/6. 
1/3 converts to 2/6. 
2/6 > 1/6
4 0
3 years ago
Read 2 more answers
What is the value of x in the equation 3x-4y=65, when y=4?
Andrew [12]

Step-by-step explanation:

3x - 4(4) = 65

3x - 16 = 65

3x = 81

x = 27

5 0
3 years ago
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