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3 years ago

3. Which side in ΔFED does AC in ΔABC correspond to?

Mathematics

1 answer:

Dahasolnce [82]3 years ago

8 0

Answer:

step by step below

Step-by-step explanation:

3. AB --> EF (53°)

BC --> DE (37°)

AC --> DF (90°)

4. EF/AB = 8/4 = 2 (scale factor)

5. DE = 2 x CB = 6

6. FD = √6²+8² = √100 = 10

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3 years ago

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3 years ago

Read 2 more answers

The probability that an American CEO can transact business in a foreign language is .20. Twelve American CEOs are chosen at rand

NNADVOKAT [17]

Answer with Step-by-step explanation:

We are given that

The probability that an American CEO can transact business in foreign language=0.20

The probability than an American CEO can not transact business in foreign language= $1-0.20=0.80$

Total number of American CEOs chosen=12

a. The probability that none can transact business in a foreign language= $12C_0(0.20)^0(0.80)^{12}$

Using binomial theorem $nC_r(1-p)^{n-r}p^r$

The probability that none can transact business in a foreign language= $\frac{12!}{0!(12-0)!}(0.8)^{12}=(0.8)^{12}$

b.The probability that at least two can transact business in a foreign language= $1-P(x=0)-p(x=1)=1-((0.8)^{12}+12C_1(0.8)^{11}(0.2))=1-((0.8)^{12}+12(0.8)^{11}}(0.2))$

c.The probability that all 12 can transact business in a foreign language= $12C_{12}(0.8)^0(0.2)^{12}$

The probability that all 12 can transact business in a foreign language= $\frac{12!}{12!}(0.2)^{12}=(0.2)^{12}$

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3 years ago