Answer:30 action and 50 comedies which is 80/100 or 80%/100%
Step-by-step explanation:
Answer:
9:30am
Step-by-step explanation:
Given data
Start time= 8:20am
Folding time= 25min
Time spent on Puzzle= 45min
Total time = 25+45= 70min= 1:10 min
Therefore the time she finishes is
8:20+ 1:10= 9:30 am
Hence she finished by 9:30am
Answer:
![\frac{4}{13}-\frac{7}{13}i](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B13%7D-%5Cfrac%7B7%7D%7B13%7Di)
Step-by-step explanation:
![\frac{2-i}{3+2i}](https://tex.z-dn.net/?f=%5Cfrac%7B2-i%7D%7B3%2B2i%7D)
Multiply and divide by the conjugate.
The conjugate is the denominator with the sign of the complex number the opposite of the denominator.
![\frac{2-i}{3+2i}\frac{3-2i}{3-2i}\\ =\frac{2\times (3-2i)-i\times (3-2i)}{3^2-(2i)^2}\\ =\frac{6-4i-3i+2i^2}{9+4}\\ =\frac{4-7i}{13}\\ =\frac{4}{13}-\frac{7}{13}i](https://tex.z-dn.net/?f=%5Cfrac%7B2-i%7D%7B3%2B2i%7D%5Cfrac%7B3-2i%7D%7B3-2i%7D%5C%5C%20%3D%5Cfrac%7B2%5Ctimes%20%283-2i%29-i%5Ctimes%20%283-2i%29%7D%7B3%5E2-%282i%29%5E2%7D%5C%5C%20%3D%5Cfrac%7B6-4i-3i%2B2i%5E2%7D%7B9%2B4%7D%5C%5C%20%3D%5Cfrac%7B4-7i%7D%7B13%7D%5C%5C%20%3D%5Cfrac%7B4%7D%7B13%7D-%5Cfrac%7B7%7D%7B13%7Di)
Quotient = ![\frac{4}{13}-\frac{7}{13}i](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B13%7D-%5Cfrac%7B7%7D%7B13%7Di)
Because the probability of getting heads is 1/2, in a scenario in which it is tossed 3 times, the probability of getting exactly one head is 1/3.