Probability of First = 2/9
Probability of Second = 4/11
Probability of both winning = 2/9 + 4/11
= 22/99 + 36/99
= 58/99
Answer is 58/99 probability of them both winning
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Answer:
y = 1/3x + 1
Step-by-step explanation:
Answer:
x = 47
Step-by-step explanation:
3x - 2 + 41 = 180 {Supplementary}
3x + 39 = 180
3x = 180 - 39
3x = 141
x = 141/3
x = 47
Answer:
The statement is true for every n between 0 and 77 and it is false for 
Step-by-step explanation:
First, observe that, for n=0 and n=1 the statement is true:
For n=0: 
For n=1: 
From this point we will assume that 
As we can see,
and
. Then,

Now, we will use the formula for the sum of the first 4th powers:

Therefore:

and, because
,

Observe that, because
and is an integer,

In concusion, the statement is true if and only if n is a non negative integer such that 
So, 78 is the smallest value of n that does not satisfy the inequality.
Note: If you compute
for 77 and 78 you will obtain:
<h3>Answer: Choice D</h3>
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Explanation:
The long way to do this is to multiply all the fractions out by hand, or use a calculator to make shorter work of this.
The shortest way is to simply count how many negative signs each expression has.
The rule is: if there are an even number of negative signs, then the product will be positive. Otherwise, the product is negative.
For choice A, we have 3 negative signs. The result (whatever number it is) is negative. Choice B is a similar story. Choice C is also negative because we have 1 negative sign. Choices A through C have an odd number of negative signs.
Only choice D has an even number of negative signs. The two negatives multiply to cancel to a positive. The negative is like undoing the positive. So two negatives just undo each other. This is why the multiplied version of choice D will be some positive number.
Or you can think of it as opposites. If you are looking up (positive direction) and say "do the opposite" then you must look down (negative direction). Then if you say "do the opposite", then you must look back up in the positive direction.