3 /12 are not colored and 4/12 is covered green
X² - 8x = -10
to have a complete square, we must have this format:
a² + 2ab + b²
a² = x²
2ab = -8x ⇒ 2(x)(-4)
b² = -4² = 16
x² - 8x + 16 = -10 + 16
x² - 8x + 16 = +6
(x-4)² - 6 = 0
Both sides must have an additional value of 16.
Answer: 55
Step-by-step explanation:
126+129= 255
255-200=55
Given that the probability that you will win a prize in the provincial lottery is 0.11.
<span>If you buy one ticket each month for five months, the probability that you will win at least one prize is given by
![P(x\geq1)=1-P(x\ \textless \ 1) \\ \\ =1-P(0)=1-{ ^5C_0(0.11)^0(1-0.11)^5} \\ \\ =1-1\times1\times(0.89)^5=1-0.5584=0.4416](https://tex.z-dn.net/?f=P%28x%5Cgeq1%29%3D1-P%28x%5C%20%5Ctextless%20%5C%201%29%20%5C%5C%20%20%5C%5C%20%3D1-P%280%29%3D1-%7B%20%5E5C_0%280.11%29%5E0%281-0.11%29%5E5%7D%20%5C%5C%20%20%5C%5C%20%3D1-1%5Ctimes1%5Ctimes%280.89%29%5E5%3D1-0.5584%3D0.4416)
Therefore, the </span><span>probability that you will win at least one prize is 0.4416 or 44.16%.</span>