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:
-0.7
Step-by-step explanation:
First do 3.2-1.8= 1.4. So now we know that -2n=1.4. Next you solve for n to get the answer of -0.7 with your answer of the third option.
Answer:
Step-by-step explanation:
unimodal skewed
Answer:
x ≥-3
Step-by-step explanation:
7 − 9x − (x + 12) less than or equal to 25
7 − 9x − (x + 12) ≤ 25
Distribute the minus sign
7 − 9x − x - 12 ≤ 25
Combine like terms
− 10x −5 ≤ 25
Add 5 to each side
− 10x −5+5 ≤ 25+5
− 10x ≤ 30
Divide by -10. Remember that this flips the inequality
− 10x/-10 ≥30/-10
x ≥-3
1. 5 faces
2. 4 triangles
3. 6(4)1/2=12 in
4. 36in squared=91.44cm squared
5. 12(4)=48 in squared=121.92 cm sqaured
6. 82 in squared=208.28 cm squared