Just took the test and got 100%!! Here ya go!
Answer: 20ways
Step-by-step explanation:
Number of candies = 7
Number of kids = 4
Since each kid must receive at least one candy ;
Therefore number of candies left to ration is
7 - 4 = 3 candies ; among 4 kids.
To share 'n' identical object among 'r' number of individuals can be expressed in the form :
[n+(r-1)Cr-1]
n = 3 ; r = 4
[3+(4-1)C4-1] = 6C3
Recall: nCr = n! / (n-r)!r!
6C3 = 6!/(6-3)!3!
6C3 = 6!/3!3!
= (6 * 5 * 4) / (3 * 2 * 1)
= 120 / 6
= 20ways
Answer:
Yes! The given quadrilateral represents Parallelogram.
Reason: The given quadrilateral has opposite sides congruent.
Step-by-step explanation:
Given the quadrilateral with the four vertices.
- Now in order to determine whether the given quadrilateral is a parallelogram or not, we need to check whether the opposite sides are congruent or not.
- It is clear that the given quadrilateral has opposite sides congruent.
Therefore, the given quadrilateral represents Parallelogram.
Hence,
Yes! The given quadrilateral represents Parallelogram.
Reason: The given quadrilateral has opposite sides congruent.
<span> First, reduce the fraction to lowest terms, e.g. 8/6 = 4/3.
Look at the denominator. Split it into its prime factors. If its prime
factors only consist of 2's and 5's, then it will be terminating.
Examples:
16 = 2 x 2 x 2 x 2, so terminating
25 = 5 x 5, so terminating
2000 = 2 x 1000 = 2 x (2 x 5) x (2 x 5) x (2 x 5), so terminating
12 = 2 x 3, so repeating (has prime factor 3, which is not 2 or 5)
13 = 13, so repeating (has prime factor 13, which is not 2 or 5) Hope this helps!!
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Answer:
We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

For this case we have that:

And we see that 
So then we can conclude that the two events given are not independent and have a relationship or dependence.
Step-by-step explanation:
For this case we can define the following events:
A= In a certain computer a memory failure
B= In a certain computer a hard disk failure
We have the probability for the two events given on this case:

We also know the probability that the memory and the hard drive fail simultaneously given by:

And we want to check if the two events are independent.
We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

For this case we have that:

And we see that 
So then we can conclude that the two events given are not independent and have a relationship or dependence.