Answer:
The probability that the coins are thrown more than three times to show the same face is 0.3164.
Step-by-step explanation:
The problem is related to Geometric distribution.
The Geometric distribution defines the probability distribution of <em>X</em> failures before the first success.
The probability distribution function is:
First compute the probability that in the 
throw all the three coins will show the same face.
P (All the 3 coins shows the same face) = P (All the three coins shows Heads) + P (All the three coins shows Tails)
Now compute the probability that it takes more than 3 throws for the coins to show the same face.
P (<em>X</em> > 3) = 1 - P (<em>X</em> ≤ 3)
![=1-[P(X=1)+P(X=2)+P(X=3)]\\=1-[[(1-\frac{1}{4} )^{0}\times\frac{1}{4}]+[(1-\frac{1}{4} )^{1}\times\frac{1}{4}]+ [(1-\frac{1}{4} )^{2}\times\frac{1}{4}]+[(1-\frac{1}{4} )^{3}\times\frac{1}{4}]]\\=1-[0.2500+0.1875+0.1406+0.1055]\\=1-0.6836\\=0.3164](https://tex.z-dn.net/?f=%3D1-%5BP%28X%3D1%29%2BP%28X%3D2%29%2BP%28X%3D3%29%5D%5C%5C%3D1-%5B%5B%281-%5Cfrac%7B1%7D%7B4%7D%20%29%5E%7B0%7D%5Ctimes%5Cfrac%7B1%7D%7B4%7D%5D%2B%5B%281-%5Cfrac%7B1%7D%7B4%7D%20%29%5E%7B1%7D%5Ctimes%5Cfrac%7B1%7D%7B4%7D%5D%2B%20%5B%281-%5Cfrac%7B1%7D%7B4%7D%20%29%5E%7B2%7D%5Ctimes%5Cfrac%7B1%7D%7B4%7D%5D%2B%5B%281-%5Cfrac%7B1%7D%7B4%7D%20%29%5E%7B3%7D%5Ctimes%5Cfrac%7B1%7D%7B4%7D%5D%5D%5C%5C%3D1-%5B0.2500%2B0.1875%2B0.1406%2B0.1055%5D%5C%5C%3D1-0.6836%5C%5C%3D0.3164)
Thus, the probability that it takes more than 3 throws for the coins to show the same face is 0.3164.
Answer:
Hehe boi
Step-by-step explanation:
0=-2x+2x+1
0=+1
there is no solution for this question
Add the following polynomials:
All polynomials are already ordered according to their degree (exponent), and therefore you can just add straight down in columns.
For x3: 2 + 1 - 3 = 0
For x2: -4 + 6 + 2 = 4
For x: 6 - 8 -4 = -6
Constants: -3 + 12 - 7 = 2
The answer is:
4x^2 - 6x + 2
Answer:
62.333 inches
Step-by-step explanation:
To find the value of x, or the height of the object, we can set up an equation to solve for the missing variable. This is shown below:
x*3.5*3=561 cubic inches
To solve for X, we divide the 3.5 over to the other side, resulting in x*3 = 187
To get the x by itself, we divide both sides by 3 to remove the 3 from the left side of the equation.
We are left with x = 62.333 inches.
Therefore, the height of the box is 62.333 inches
