<span>In business terms, the word agreement is equivalent to the word contract. The correct option among all the options that are given in the question is the third option or option "C". A contract is basically a kind of legal binding. I hope that this answer has actually come to your great help.</span>
Answer:
A)
![f(x)=x^(2)-2x+3](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E%282%29-2x%2B3)
Step-by-step explanation:
Answer:
10⁰×10¹-1¹⁰ < 10⁰×10¹×1¹⁰ < 10⁰+10¹×1¹⁰ < 10⁰+10¹+1¹⁰
Step-by-step explanation:
10⁰×10¹-1¹⁰ = 9
10⁰×10¹×1¹⁰ = 10
10⁰+10¹×1¹⁰ = 11
10⁰+10¹+1¹⁰ = 12
The probability that you lose all five times will be 0.59.
<h3>How to calculate the probability?</h3>
From the information given, the chances of winning are 0.1. Therefore, the chance of losing will be:
= 1 - 0.1 = 0.9
Therefore, the probability that you lose all five times will be:
= 0.9 × 0.9 × 0.9 × 0.9 × 0.9
= 0.59
Learn more about probability on:
brainly.com/question/24756209
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Answer: The required probability of selecting 1 red apple and 2 yellow apples is 36.36%.
Step-by-step explanation: We are given that a bag contains 6 red apples and 5 yellow apples out of which 3 apples are selected at random.
We are to find the probability of selecting 1 red apple and 2 yellow apples.
Let S denote the sample space for selecting 3 apples from the bag and let A denote the event of selecting 1 red apple and 2 yellow apples.
Then, we have
![n(S)=^{6+5}C_3=^{11}C_3=\dfrac{11!}{3!(11-3)!}=\dfrac{11\times10\times9\times8!}{3\times2\times1\times8!}=165,\\\\\\n(A)\\\\\\=^6C_1\times^5C_2\\\\\\=\dfrac{6!}{1!(6-1)!}\times\dfrac{5!}{2!(5-2)!}\\\\\\=\dfrac{6\times5!}{1\times5!}\times\dfrac{5\times4\times3!}{2\times1\times3!}\\\\\\=6\times5\times2\\\\=60.](https://tex.z-dn.net/?f=n%28S%29%3D%5E%7B6%2B5%7DC_3%3D%5E%7B11%7DC_3%3D%5Cdfrac%7B11%21%7D%7B3%21%2811-3%29%21%7D%3D%5Cdfrac%7B11%5Ctimes10%5Ctimes9%5Ctimes8%21%7D%7B3%5Ctimes2%5Ctimes1%5Ctimes8%21%7D%3D165%2C%5C%5C%5C%5C%5C%5Cn%28A%29%5C%5C%5C%5C%5C%5C%3D%5E6C_1%5Ctimes%5E5C_2%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B6%21%7D%7B1%21%286-1%29%21%7D%5Ctimes%5Cdfrac%7B5%21%7D%7B2%21%285-2%29%21%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B6%5Ctimes5%21%7D%7B1%5Ctimes5%21%7D%5Ctimes%5Cdfrac%7B5%5Ctimes4%5Ctimes3%21%7D%7B2%5Ctimes1%5Ctimes3%21%7D%5C%5C%5C%5C%5C%5C%3D6%5Ctimes5%5Ctimes2%5C%5C%5C%5C%3D60.)
Therefore, the probability of event A is given by
![P(A)=\dfrac{n(A)}{n(S)}=\dfrac{60}{165}=\dfrac{4}{11}\times100\%=36.36\%.](https://tex.z-dn.net/?f=P%28A%29%3D%5Cdfrac%7Bn%28A%29%7D%7Bn%28S%29%7D%3D%5Cdfrac%7B60%7D%7B165%7D%3D%5Cdfrac%7B4%7D%7B11%7D%5Ctimes100%5C%25%3D36.36%5C%25.)
Thus, the required probability of selecting 1 red apple and 2 yellow apples is 36.36%.