3 years ago

Estimate the perimeter and the area of the shaded figure to the nearest tenth. -Please help me-

Mathematics

1 answer:

Crank3 years ago

3 0

Answer:

Perimeter = 12+4pi

Area = 16+8pi

Step-by-step explanation:

Description of the assumed shape:

A rectangle 2 x 8 superimposed on a semi-circle of radius 4.

Perimeter:

P = 2+8+2+(4)(pi) = 12+4pi

Area :

A = 2*8 +(pi)4^2/2 = 16 + 8pi

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Use technology and the given confidence level and sample data to find the confidence interval for the population mean mu. Assume

Sphinxa [80]

Answer: (1.55, 6.45)

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\overline\ {x}\pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Significance level : $\alpha: 1-0.99=0.01$

Critical value : $z_{\alpha/2}=2.576$

Sample size : n=41

Sample mean : $\overline{x}=4.0\text{ kg}$

Standard deviation : $\sigma=6.1\text{ kg}$

Then, 99% confidence interval for population mean will be :_

$4\pm\ (2.576)\dfrac{6.1}{\sqrt{41}}\\\\\approx4\pm2.45\\\\=(4-2.45, 4+2.45)=(1.55, 6.45)$

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4 years ago

This table shows the size, in acres, of four large water parks.

andrey2020 [161]

First of all, for median, list the numbers in order.

60, 60, 66, 70

If there are an odd number of numbers, the median is the number in the middle.

If there are an even number of numbers, the median is the average(mean) of the two numbers closest to the middle.

Average of 60 and 66:
60+66 = 126
126/2 = 63

Median: 63

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3 years ago

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