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Julli [10]
4 years ago
5

19. You roll two standard number cubes. What is the probability that the sum is odd, given than one of the number cubes shows a

1? Show your work.
Mathematics
2 answers:
In-s [12.5K]4 years ago
5 0

6 numbers per cube

 if one is a 1, then the other one has to be a 2, 4 or 6 to be an odd sum

1+2=3, 1+4=5,1+6=7

 since there are 3 numbers you can get that would be a 3/6 ( reduce to 1/2) probability


so 1/2 probability

poizon [28]4 years ago
4 0

1/2 is wrong, I put it on my exam and got it wrong:/

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Four brothers have ages which are consecutive even integers. If the product of the ages of the two middle brothers is 528, how o
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Answer:

The oldest brother is of age 26 years.

Step-by-step explanation:

As the age of four brothers are consecutive even integers.

We assume that the ages are x,(x+2),(x+4),(x+6) as their respective ages.

And the age of the youngest brother x yrs.

Age of the oldest brother (x+6) yrs.

According to the question

Product of two middle brother that is (x+2)(x+4) =528

So we will arrange this in our equation and solve the quadratic.

(x+2)(x+4) =528

x^{2}+4(x)+2(x)+8 =528

x^{2}+4(x)+2(x)+8-528=0

x^{2}+6(x)-520=0

Solving the quadratic by using middle term splitting or directly with quadratic formula we can find the value of 'x' .

Here it is solved with quadratic formula:

Comparing with standard equation ax^{2}+b(x)+c=0,here a=1,b=6\ and\ c=-520.

x= \frac{-b \pm \sqrt{b^2-4ac} }{2a} = \frac{-6 \pm \sqrt{6^2-4\times \ (-520)} }{2\times 1}

x=20,-26

We will work with the positive value of (x) so the the age of the youngest brother =(x)=20 yrs.

And the age of the the oldest brother =(x+6)=(20+6)=26 years.

The age difference is of (26-20)=6 years.

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Answer:

2) 0.3

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Step-by-step explanation:

hope this helps ;)

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