The probability that Rachel will win the game is: 1/12
Step-by-step explanation:
The number cubes has six sides numbered between 1 to 6. the chances of each number are equally likely
Let S be the sample space
The sample space has 6*6 = 36 outcomes.
Now, Let A be the event that the sum of numbers on both number cubes is 10
A = {(4,6),(5,5), (6,4)
n(A) = 3
The probability that Rachel will win the game is: 1/12
Keywords: Probability, Sample
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Hoi!
The correct answer would be "Daryl received two 3's as scores on his paper from the readers, but Sheila received two 6's."
When placing a number in a sentence before an S, it is to always have an apostrophe. Along with this, this is the only sentence that uses the correct form of "readers", since in this sentence, "readers" is being used as a plural noun, not a possessive noun.
Possessive nouns contain an apostrophe to show that something belongs to someone else.
Ex: That cat is her's.
The possessive noun is "her's" because it's showing that she is the owner of the cat.
As for plural tense, it speaks for more than one person or object.
Ex: The cats scrambled up the tree.
The plural noun is "cats" because it's referring to more than one cat.
:)
If the polynomial is of the form x^2+bx+c (ie., no factor in front of the x^2!!) then you can look for numbers that add up to b and multiply to c.
So in this case: what two numbers, when added, give -2 and when multiplied, give 1? A little trial and error gives you -1 and -1.
So the factorization is (x-1)(x-1). This is zero for x=1. There is only one zero.
Answer:
The consecutive odd integers are (15, 17, 19) or (-17, -15, -13).
Step-by-step explanation:
Let the three consecutive odd integers be: 
The condition given is:
![4[x-2+x+x+2]=3x(x+2)-765](https://tex.z-dn.net/?f=4%5Bx-2%2Bx%2Bx%2B2%5D%3D3x%28x%2B2%29-765)
Solve this for <em>x</em> as follows:
![4[x-2+x+x+2]=3x(x+2)-765\\4\times 3x=3x^{2}+6x-765\\3x^{2}-6x-765=0\\x^{2}-2x-255=0\\x^{2}-17x+15x-255=0\\x(x-17)+15(x-17)=0\\(x-17)(x+15)=0](https://tex.z-dn.net/?f=4%5Bx-2%2Bx%2Bx%2B2%5D%3D3x%28x%2B2%29-765%5C%5C4%5Ctimes%203x%3D3x%5E%7B2%7D%2B6x-765%5C%5C3x%5E%7B2%7D-6x-765%3D0%5C%5Cx%5E%7B2%7D-2x-255%3D0%5C%5Cx%5E%7B2%7D-17x%2B15x-255%3D0%5C%5Cx%28x-17%29%2B15%28x-17%29%3D0%5C%5C%28x-17%29%28x%2B15%29%3D0)
- If
then the value of <em>x</em> is 17.
The odd numbers are:
- If
then the value of <em>x</em> is -15.
The odd numbers are:
Thus, the consecutive odd integers are (15, 17, 19) or (-17, -15, -13).
