Answer: Probability that Box A was chosen given that black marble is chosen is 0.5.
Step-by-step explanation:
Since we have given that
Number of boxes = 2
In Box A,
Number of black marbles = 1
Number of white marbles = 3
In Box B,
Number of black marbles = 2
Number of white marbles = 4
Since black marble is selected.
So, using Bayes theorem , we get that

Hence, probability that Box A was chosen given that black marble is chosen is 0.5.
<h3>
Answers: 48 and 72</h3>
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Explanation:
The number 12 is a multiple of 3 because 3*4 = 12.
So when looking for common multiples of 3 and 12, we simply need to look at multiples of 12.
The multiples of 12 are:
- 12, 24, 36, 48, 60, 72, 84, 96, 120, ...
We see that 48 and 72 are on the list. The values 21, 27, 63, 81 are not on the list, so cross them out.
Now we could keep that list of multiples going to see if 844 is on there or not. A better method is to divide 844 over 12. If we get a whole number, then it's a multiple of 12.
844/12 = 70.333 approximately.
This shows that 844 is <u>not</u> a multiple of 12. So we cross 844 from the list.
Only 48 and 72 are multiples of 12 (and also multiples of 3).
Answer:
It's the last choice: 2x^2 - 5x - 8 - 37/(x - 5).
Step-by-step explanation:
Long division:
2x^2 - 5x -8 <---------------Quotient
---------------------------------
x - 5 ) 2x^3 - 15x^2 + 17x + 3
2x^3 - 10x^2
- 5x^2 + 17x
- 5x^2 + 25x
- 8x + 3
- 8x + 40
-37 <------ Remainder.
Answer:
4/40
Step-by-step explanation:
you can reduce this to 1/10
multiplying 4 by both 1 and 10 will give you the fraction 4/40 both can be divided by 4 and that's how it can reduce to the 1st fraction (1/10)
It is a good thing to remember. Of course, not all, but some basic numbers that appear all the time such as the numbers from 2 to 13 should be remembered as they appear in numerous assignments and tests.