I’m pretty sure the answer is A. ( i also use my hrw too lol)
Answer:
2.5 or 2 1/2
Step-by-step explanation:
divide 15 by 3 and you'll get 5. multiply 1/2 by 5 and you get 2.5
(B)
if <em>f</em>(a) = K, then that means <em>f </em>sends (a) to (K).
the inverse function, <em>f</em>-1, goes back where you started, so <em>f</em>-1 <em />sends (K) to (a).
<em>f</em>-1(K) = a.
Answer: a)
b) ![\dfrac{3}{5}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B5%7D)
Step-by-step explanation:
Since we have given that
Number of men = 4
Number of women = 2
So, number of selected people = 2
So, the probability that both officers are women would be
![\dfrac{^2C_2}{^6C_2}\\\\=\dfrac{1}{15}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5E2C_2%7D%7B%5E6C_2%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B15%7D)
And the probability that at least one of the two officers is a woman would be
![\dfrac{^2C_1\times ^4C_1}{^6C_2}+\dfrac{^2C_2}{^6C_2}\\\\=\dfrac{2\times 4}{15}+\dfrac{1}{15}\\\\=\dfrac{8}{15}+\dfrac{1}{15}\\\\=\dfrac{8+1}{15}\\\\=\dfrac{9}{15}\\\\=\dfrac{3}{5}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5E2C_1%5Ctimes%20%5E4C_1%7D%7B%5E6C_2%7D%2B%5Cdfrac%7B%5E2C_2%7D%7B%5E6C_2%7D%5C%5C%5C%5C%3D%5Cdfrac%7B2%5Ctimes%204%7D%7B15%7D%2B%5Cdfrac%7B1%7D%7B15%7D%5C%5C%5C%5C%3D%5Cdfrac%7B8%7D%7B15%7D%2B%5Cdfrac%7B1%7D%7B15%7D%5C%5C%5C%5C%3D%5Cdfrac%7B8%2B1%7D%7B15%7D%5C%5C%5C%5C%3D%5Cdfrac%7B9%7D%7B15%7D%5C%5C%5C%5C%3D%5Cdfrac%7B3%7D%7B5%7D)
Hence, a)
b) ![\dfrac{3}{5}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B5%7D)