Answer:
Step-by-step explanation:
We will use the binomial distribution. Let X be the random variable representing the no. of boxes Hannah buys before betting a prize.
Our success is winning the prize, p =40/100 = 0.4
Then failure q = 1-0.4 = 0.6
Hannah keeps buying cereal boxes until she gets a prize. Then n be no. times she buys the boxes.
P(X ≤ 3) = P(X=0) +P(X=1)+P(X=2)+P(X=3)
= 
+ 
+ 
+ 
= 
+
+
= ![(0.6)^{n}+n(0.4)(0.6)^{n-1}+[tex]\frac{n(n-1)(0.4)^{2}0.6^{n-2}}{2} +\frac{n(n-1)(n-2)0.4^{3}0.6^{n-3}}{6}](https://tex.z-dn.net/?f=%280.6%29%5E%7Bn%7D%2Bn%280.4%29%280.6%29%5E%7Bn-1%7D%2B%5Btex%5D%5Cfrac%7Bn%28n-1%29%280.4%29%5E%7B2%7D0.6%5E%7Bn-2%7D%7D%7B2%7D%20%2B%5Cfrac%7Bn%28n-1%29%28n-2%290.4%5E%7B3%7D0.6%5E%7Bn-3%7D%7D%7B6%7D)
Answer:
50
Step-by-step explanation:
12x + 15 = 5x + 85 {Subtract 15 from both sides}
12x + 15 - 15 = 5x + 85 - 15
12x = 5x + 70 {Subtract 5x from both sides}
12x - 5x = 70
7x = 70 {Divide both sides by 7}
x = 70/7
x = 10
∠U = 5x = 5*10 = 50
Answer:
2 56 0 56 18 0 3 0 20 12 12 54 7 64 18 25 24 0 0 28 14 8 6 24 35 9 27 48 40 1 0 3 18 16 8 7 0 0 36 48 49 28 40 42 15 6 27 16 36 8 0 32 81 4 30 0 0 9 32 10 30 2 45 16 5 0 0 14 35 18 0 54 0 12 36 24 4 8 10 18 72 6 63 12 0 21 0 24 63 0 21 20 9 15 45 0 6 72 5 4
Step-by-step explanation:
This hurt my soul but enjoy
The sum of 386+98+1734 is 2218
830,040 = 8 x 10^5 + 3 x 10^4 + 4 x 10
