Algebra Answers

If α is in quadrant 4, which quadrant is arctan(cosα) in? 

If arctan(tanα) = -2π/7 Which of the following values can have α have?

a) -9π/7

b) 2π/7

c) -5π/7

d) 5π/7

once upon a time miss abc invited 50 enemies to dinner. solve this question

7. The probability that a pregnancy results in twins is about 0.03. The probability that a pregnancy results in identical twins is about 0.002. Given that a pregnancy results in twins, what is the probability they are identical twins? 

a) Write this question using the proper symbols.   

b) Find the answer. Round to the nearest ten thousandths place.  

8. If the events A and B are independent, P(A) = 0.62 and P(B) = 0.23, find P(A and B).

1. Evaluate each expression

a. 8P5​b. 11C4

2. How many different four-letter passwords can be formed from the letters A, B, C, D, E, F and G if no repetition of letters is allowed?

3. An ice cream store sells two drinks in four sizes and has five flavor add ons. In how many ways can a customer order a drink?

4. An election ballot asks voters to select three city commissioners from a group of six candidates. In how many ways can this be done?

5. What is the multiplication rule for independent events?

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6. If P(A) = 0.25, P(B) = 0.60 and P(A and B) = 0.15, are the event A and B independent? Explain/show work. 

Select all the transformations that apply to y= 5 log(x-3) + 1

vertical stretch of 5

down 3

right 3

up 1

left 1

Which represents the exponential form of log₅(1/5)= -1

a. 1/5 ⁵ = -1

b. 1/5^-1= 5

c. 5^1/5 = -1

d. 5^-1= 1/5

Which image shows inverse log and exponential graphs? explain why

https://lh3.googleusercontent.com/7cC9ApzuAkEXvlzuzJViFrI_Y5pPVUusaGa2HFrGHVEic20mFPEDAromPQhNq_mz4x556tLoTCADdD1StEWyssN_v7rWfvVHmQ8DBw2dduu0LPlH6I1Ln7PlBgefkcxabw=w260

https://lh6.googleusercontent.com/sU809_bZYgchm7iqAb8ITzbUrCe_dZ41Eztuj0y8OZsrCS9DKPnrilkaDlI6BJ7nthu_qvTexdZ92_tQPuku8VQGEAkk2-SO_NLom1qUe21ljYosCB4_gAE_YacEwmcuFw=w260

https://lh4.googleusercontent.com/ES8Hl-7uWojH5LUCoLFuE4vRbhX-EpoElaJ4YswusD25AsmO796MSED8-5-a8xnI7LcEoVZKE-jZ7TNdFwL_v9dDJcpeAsc3hc7rM5YCfTYxlZAVVei1MoIouSaoiceI8g=w260

https://lh4.googleusercontent.com/68kiGOoYYNp05Iv0qV2EPlkYbDBmpaI_ymjV6LKq1zHnzsf2SNnMNKJax7gckFDxodnqWFI5_dgDf1sg0Ie-FKeGWDzOLNdEE4FSqEVgyYXQ6bV4pOgNMfLFFGIoeCpayA=w260

https://lh5.googleusercontent.com/5n2khfN8MamihfTt8u-N9-TECGDNrNeLthRCch7HYkL5frDLN9PfJ72KyVCm2mvzUD_K3CJciGCGXZ88DxVmSHN9SvMxqEHWrJqprlnM4zi5ZWT4Uz1-xcfzXkK5aNeTJA=w740

What is the range of this graph? explain why

a. ( -2, infinity )

b. ( 2, infinity )

c. ( -infinity, 2 )

d. ( -infinity, -2 )

Explain the meaningful learning of mathematics according to the network theory.