Answer:
0.06
Step-by-step explanation:
Total number of marbles:
6 + 10 + 5 + 1 = 22 marbles
Probability of picking 1 red marble:
red marbles / total marbles
6/22
Probability of picking a green marble:
green marbles / total marbles
5/22
Now, multiply the probabilities:
6/22 • 5/22 = 15/242 = 0.06
Answer:
2.5, -2.61, 0.81, -0.12
Step-by-step explanation:
The taylor series of the function sin(x) around zero is given by
Therefore,
![\sin(\frac{5}{2})=\dfrac{5}{2}-\dfrac{[\frac{5}{2}]^3}{3!}+\dfrac{[\frac{5}{2}]^5}{5!}-\dfrac{[\frac{5}{2}]^7}{7!}+...](https://tex.z-dn.net/?f=%5Csin%28%5Cfrac%7B5%7D%7B2%7D%29%3D%5Cdfrac%7B5%7D%7B2%7D-%5Cdfrac%7B%5B%5Cfrac%7B5%7D%7B2%7D%5D%5E3%7D%7B3%21%7D%2B%5Cdfrac%7B%5B%5Cfrac%7B5%7D%7B2%7D%5D%5E5%7D%7B5%21%7D-%5Cdfrac%7B%5B%5Cfrac%7B5%7D%7B2%7D%5D%5E7%7D%7B7%21%7D%2B...)
hence the first four nonzero terms of the series are
![\dfrac{5}{2}=2.5\\\\-\dfrac{[\frac{5}{2}]^3}{3!} \approx -2.61\\\\\dfrac{[\frac{5}{2}]^5}{5!} \approx 0.81\\\\-\dfrac{[\frac{5}{2}]^7}{7!} \approx -0.12](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7B2%7D%3D2.5%5C%5C%5C%5C-%5Cdfrac%7B%5B%5Cfrac%7B5%7D%7B2%7D%5D%5E3%7D%7B3%21%7D%20%5Capprox%20-2.61%5C%5C%5C%5C%5Cdfrac%7B%5B%5Cfrac%7B5%7D%7B2%7D%5D%5E5%7D%7B5%21%7D%20%5Capprox%200.81%5C%5C%5C%5C-%5Cdfrac%7B%5B%5Cfrac%7B5%7D%7B2%7D%5D%5E7%7D%7B7%21%7D%20%5Capprox%20-0.12)
Answer: 36th customer.
Step-by-step explanation: 36 is divisible by both 9 and 12, and is the least common multiple.
