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)

square root of negative is an imaginary solution or number. meaning it exist somewhere. square root of 64 is 8 and the square root of 25 is 5. "i" represent imaginary number
Answer: The slope of a line is m=(y2-y1)/(x2-x1) where (x1,y1) and (x2,y2) are the two points on the line.
So we have x1=0,y1=4 and x2=-8 y2=-1 this gives us =(-1-4)/(-8-0) =5/8
I don't know if this helped..
Divide 3 on both sides and you should get:
9 = v
hope that helps :)✨