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2 years ago

Area of a circle is 254.34 cm2. What is the diameter of the circle, use 3.14.

Mathematics

2 answers:

erastovalidia [21]2 years ago

8 0

The area of a circle is:

Area = PI x r^2 ( r is the radius which is half the diameter)

Using the information in the problem:

254.34 = 3.14 x r^2

Divide both sides by 3.14:

81 = r^2

Take the square root of both sides:

r = 9

The diameter = 2r = 2(9) = 18 cm

Leya [2.2K]2 years ago

3 0

Diameter is 18 cm in length

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A survey of 200 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take

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Answer:

The 95% confidence interval for the true proportion of university students who use laptop in class to take notes is (0.2839, 0.4161).

Step-by-step explanation:

The (1 - α)% confidence interval for population proportion P is:

$CI=p\pm z_{\alpha/2}\sqrt{\frac{p(1- p)}{n}}$

The information provided is:

x = number of students who responded as"yes" = 70

n = sample size = 200

Confidence level = 95%

The formula to compute the sample proportion is:

$p=\frac{x}{n}$

The R codes for the construction of the 95% confidence interval is:

> x=70

> n=200

> p=x/n

> p

[1] 0.35

> s=sqrt((p*(1-p))/n)

> s

[1] 0.03372684

> E=qnorm(0.975)*s

> lower=p-E

> upper=p+E

> lower

[1] 0.2838966

> upper

[1] 0.4161034

Thus, the 95% confidence interval for the true proportion of university students who use laptop in class to take notes is (0.2839, 0.4161).

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3 years ago

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Area of a circle is 254.34 cm2. What is the diameter of the circle, use 3.14.​

Area of a circle is 254.34 cm2. What is the diameter of the circle, use 3.14.