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Anika [276]
3 years ago
9

Which of the following is not a pair of similar polygons?

Mathematics
2 answers:
Vlada [557]3 years ago
7 0
All angled are congruent correct answer or at least the way is see wish u luck :)
mestny [16]3 years ago
4 0

Answer: The answer is the last figure, figure (D). Attached the image.

Step-by-step explanation:  We are given four pairs of polygons and we are to select the pair in which the two polygons are not similar.

In the first pair of polygons, the ratio of the corresponding sides will be same as follows:

\dfrac{2}{\frac{2}{3}}=\dfrac{4}{\frac{4}{3}}=3.

So, the polygons are similar.

In the second pair of polygons, the ratio of the corresponding sides will be same as follows:

\dfrac{2.82}{1.41}=\dfrac{2.24}{1.12}=\dfrac{3}{1.5}=2.

So, the polygons are similar.

In the third pair of polygons, the ratio of the corresponding sides will be same as follows:

\dfrac{1.41}{1.41}=\dfrac{1.12}{1.12}=\dfrac{1.5}{1.5}=1.

So, the polygons are similar.

In the fourth pair of polygons, we have

\dfrac{12}{\frac{4}{3}}=12\times\dfrac{3}{4}=9,

and

\dfrac{4}{\frac{2}{3}}=4\times\dfrac{3}{2}=6\neq 9.

So, the polygons are not similar in this case.

Thus, the last figure, attached herewith, is the correct option.

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The Resource Conservation and Recovery Act mandates the tracking and disposal of hazardous waste produced at U.S. facilities. Pr
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(a) E(X) =  0.383

The expected number in the sample that treats hazardous waste on-site is 0.383.

(b) P(x = 4) = 0.000169

There is a 0.000169 probability that 4 of the 10 selected facilities treat hazardous waste on-site.

Step-by-step explanation:

Professional Geographer (Feb. 2000) reported the hazardous waste generation and disposal characteristics of 209 facilities.

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Only eight of these facilities treated hazardous waste on-site.

r = 8

a. In a random sample of 10 of the 209 facilities, what is the expected number in the sample that treats hazardous waste on-site?

n = 10

The expected number in the sample that treats hazardous waste on-site is given by

$ E(X) =  \frac{n \times r}{N} $

$ E(X) =  \frac{10 \times 8}{209} $

$ E(X) =  \frac{80}{209} $

E(X) =  0.383

Therefore, the expected number in the sample that treats hazardous waste on-site is 0.383.

b. Find the probability that 4 of the 10 selected facilities treat hazardous waste on-site

The probability is given by

$ P(x = 4) =  \frac{\binom{r}{x} \binom{N - r}{n - x}}{\binom{N}{n}} $

For the given case, we have

N = 209

n = 10

r = 8

x = 4

$ P(x = 4) =  \frac{\binom{8}{4} \binom{209 - 8}{10 - 4}}{\binom{209}{10}} $

$ P(x = 4) =  \frac{\binom{8}{4} \binom{201}{6}}{\binom{209}{10}} $

$ P(x = 4) =  \frac{70 \times 84944276340}{35216131179263320}

P(x = 4) = 0.000169

Therefore, there is a 0.000169 probability that 4 of the 10 selected facilities treat hazardous waste on-site.

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Step-by-step explanation:

Ratios can be better understood if you read 24:26 as: Emily read 24 fiction books for every 26 books.

The question tells us Emily read 24 fiction books and 2 nonfiction books. We know she read 24 fiction books so that is the first part of our ratio. Now, they want to know how many total books did she read. Well, she read 24 fiction and 2 nonfiction. 24+2 = 26. 26 books total! So now we have the second part of our ratio and end up with the ratio of 24:26. But now, we have to simplify it. Simplifying ratios is like simplyfing fractions. You have to find their greatest common factor. The greatest common factor of 24 and 26 is 2. Now you divide both number by their greatest common factor (2). Finally, we end up with the ratio of 12:13.

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