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bonufazy [111]
3 years ago
12

I need the area and perimiter.

Mathematics
1 answer:
Montano1993 [528]3 years ago
3 0

Answer:

189.3 square inches, 55.7 inches

Step-by-step explanation:

Area = area of rectangle + area of semicircle

area of rectange = 10 * 15 = 150 square inches

radius of semicircle = 10/2 = 5

area of circle = (pi * 5^2)/2 = 12.5pi square inches

total area = 150 + 12.5pi = 189.3 square inches

total perimeter = perimeter of rectangle - left side + perimeter of semicircle

perimeter of rectangle = 10 + 15 + 15 = 40 inches

perimeter of semicircle = 10pi/2 = 5pi inches

total perimeter = 40 + 5pi = 55.7 inches

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Suppose that the mean time that visitors stay at a museum is 94.2 minutes with a standard deviation of 15.5 minutes. The standar
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Answer:

94.2 -0.994*3.1 = 91.1186

94.2 +0.994*3.1 = 97.2814

And the 68% confidence interval is given by (91.1186, 97.2814)

Step-by-step explanation:

For this case we know that mean time that visitors stay at a museum is given by:

\bar X = 94.2

The standard deviation is given by:

s= 15.5

And the standard error is given by:

SE = \frac{s}{\sqrt{n}} =3.1

And we want to interval captures 68% of the means for random samples of 25 scores and for this case the critical value can be founded like this using the normal standard distribution or excel:

z_{\alpha/2}= \pm 0.994

We can find the interval like this:

\bar X \pm ME

And replacing we got:

94.2 -0.994*3.1 = 91.1186

94.2 +0.994*3.1 = 97.2814

And the 68% confidence interval is given by (91.1186, 97.2814)

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3 years ago
Which property is illustrated by the following statement <br><br> 2x(6)=(6)2x
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Communicative prop of multiplication because the numbers are moving
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Step-by-step explanation:

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