2 years ago

Polygon H is a scaled copy of Polygon G using a scale factor of 1/4

Mathematics

1 answer:

Lisa [10]2 years ago

8 0

Answer:

$\frac{1}{16}$

Step-by-step explanation:

Given the scale factor 1 : 4 , then

the area factor = 1² : 4² = 1 : 16

That is area of polygon H is $\frac{1}{16}$ area of polygon G

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According to the "January theory," if the stock market is up for the month of January, it will be up for the year. If it is down

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Answer:

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Step-by-step explanation:

Consider the provided information.

It is given that According to an article in The Wall Street Journal, this theory held for 22 out of the last 34 years.

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X has a binomial distribution with n=34 and p=0.5

$P(X=22)=\binom{34}{22}(0.5)^{22}(0.5)^{12}\\P(X=22)=\frac{34!}{22!\times 12!}(0.5)^{22}(0.5)^{12}\\P(X=22)=548354040\times 5.8207660913\times 10^{11}\\P(X=22)=0.0319184060208\\P(X=22)\approx0.031918$

Hence, the required probability is 0.031918.

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