Answer:
k ≥ -18
Step-by-step explanation:
![-8\leq \frac{2}{5}(k-2)\\\\-8(5)\leq (5)\frac{2}{5}(k-2)\\\\-40\leq 2(k-2)\\\\\frac{-40}{2}\leq \frac{2(k-2)}{2}\\\\-20\leq k-2\\\\-20+2\leq k-2+2\\\\-18\leq k](https://tex.z-dn.net/?f=-8%5Cleq%20%5Cfrac%7B2%7D%7B5%7D%28k-2%29%5C%5C%5C%5C-8%285%29%5Cleq%20%285%29%5Cfrac%7B2%7D%7B5%7D%28k-2%29%5C%5C%5C%5C-40%5Cleq%202%28k-2%29%5C%5C%5C%5C%5Cfrac%7B-40%7D%7B2%7D%5Cleq%20%5Cfrac%7B2%28k-2%29%7D%7B2%7D%5C%5C%5C%5C-20%5Cleq%20k-2%5C%5C%5C%5C-20%2B2%5Cleq%20k-2%2B2%5C%5C%5C%5C-18%5Cleq%20k)
13n
ahaha , it’s that easy !!
have a good day <3
Answer:
1.43%
Step-by-step explanation:
we have that we can solve it by means of binomial, in this case m = 25. Also the probability of head is 50%. we need to know when it falls 7 times, therefore x = 7
the formula is:
P (x) = mCx * p ^ x * q ^ (m-x)
we know that p is 0.5 therefore q is equal to 0.5, replacing:
P (7) = 25C7 * 0.5 ^ 7 * 0.5 ^ (25-7)
P (7) = 25! / (7! * (25-7)!) * 0.5 ^ 7 * 0.5 ^ (25-7)
P = 0.0143
that is, the probability is 1.43%
Answer:
![x\geq -8](https://tex.z-dn.net/?f=x%5Cgeq%20-8)
Step-by-step explanation:
![-9x+8\leq 80](https://tex.z-dn.net/?f=-9x%2B8%5Cleq%2080)
-8 -8
₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋
![\frac{-9x}{-9} \leq \frac{72}{-9}](https://tex.z-dn.net/?f=%5Cfrac%7B-9x%7D%7B-9%7D%20%5Cleq%20%5Cfrac%7B72%7D%7B-9%7D)
⇵
![x\geq -8](https://tex.z-dn.net/?f=x%5Cgeq%20-8)