6*30 = 180
8*20 = 160
9*10 = 90
180+160+90 = 430 stickers
Answer:
a. 0.349
b. 0.651
c. 0.93
Step-by-step explanation:
According to the Question,
- Given, About 10% of all adults deliberately do a one-time fling and In a group of ten adult friends.
Thus, p=0.10 , n=10 &
Now, Use Binomial distribution = ![\left[\begin{array}{ccc}n\\x\\\end{array}\right]*(p)^{x} *{(1-p)}^{n-x}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dn%5C%5Cx%5C%5C%5Cend%7Barray%7D%5Cright%5D%2A%28p%29%5E%7Bx%7D%20%2A%7B%281-p%29%7D%5E%7Bn-x%7D)
a. p(x=0) ⇒
= 0.349
Thus, The Probability that No one has done a one-time fling = 0.349
b. p(x≥1) = 1 - p(x=0) ⇒ 1 - 0.349 = 0.651
Thus, The Probability that at least one person has done a one-time fling = 0.651
c. p(x≤2) = p(x=0) + p(x=1) + p(x=2)
p(x≤2) =
+
+ ![\left[\begin{array}{ccc}10\\2\\\end{array}\right]*(0.1)^{2} *{(0.9)}^{8}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D10%5C%5C2%5C%5C%5Cend%7Barray%7D%5Cright%5D%2A%280.1%29%5E%7B2%7D%20%2A%7B%280.9%29%7D%5E%7B8%7D)
on Solving, we get
p(x≤2) = 0.349 + 0.347 + 0.194
p(x≤2) = 0.93
Thus, The Probability that No More Than two person have done a one-time fling = 0.93
Answer:
and
Step-by-step explanation:
We have to solve the given equation - 2x² + 3x - 9 = 0
To solve the equation given above we have to factorize the left-hand side of the equation.
But it can not be factorized. So, use the Sridhar Achaya formula.
Therefore,
and
So,
and
{Where
}
Therefore, the solutions are imaginary numbers. (Answer)
Note: The Sridhar Acharya Formula gives if ax² + bx + c = 0, then the roots of the equation are
and
.
Answer:
x=4.875
y=-0.25
Step-by-step explanation:
4x – 2y = 10
2x-y=10
y=2x-10
4x + 6y = 18
2x+3(2x-10)=9
8x=39
x=4.875
y=2(4.875)-10
y=-0.25