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Lelechka [254]
3 years ago
11

A die is rolled one thousand times. The percentage of aces should be around ____ or so. the first step iin computing this proble

m should be
Mathematics
1 answer:
Katyanochek1 [597]3 years ago
7 0

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

Box \ average =\frac{1}{6}  \\\\SD = \frac{1}{6}  \times \frac{5}{6} = \frac{5}{36} \approx 0.373\\\\Expected \ value= 1000 \times \frac{1}{6}  \approx 166.7\\\\SE = 1000 \times 0.373 \approx 11.8\\\\

The total number of aces is approximately 167, 12 or more. The SE is 12 out of 1000, which is 1.2 percent.

The percentage of aces is expected to be around 16.67% , or 1.2%.

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A right triangle has a perimeter of 24 cm and a hypotenuse of 10 cm. Find the length of the other two sides.
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Step-by-step explanation:

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So now we can right the Pythagorean theorem as follows:

a^2 + b^2 = hypotenuse^2\\a^2 + (14-a)^2=10^2\\a^2+ 14^2-28\,a+a^2=100\\2\,a^2-28\,a +96=0\\2\,(a^2-14\,a+48)=0\\2\,(a^2-6\,a-8\,a+48)=0\\2(a\,(a-6)-8\,(a-6))=0\\2\,(a-6)\,(a-8)=0

and from this expression in factor form to be zero a must be 6 or a must be 8.

Therefore the solutions are a = 6 (and therefore b = 14 - 6 = 8)

or a = 8 (and therefore b = 14 - 8 = 6)

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