Answer:
The expression simplifies to 
.
Step-by-step explanation:
The expression
can be rearranged and written as
In this form the 
terms in the numerator and in the denominator cancel to give
The 
are present both in the numerator and in the denominator, so they also cancel, and the fraction 
simplifies to 
, so finally our expression becomes:
Which is our answer:)
Step-by-step explanation:
answer......
...........
<h3>
Answer: 5/9</h3>
As an approximate decimal, this is 0.5556 which converts to 55.56%
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Explanation:
Let's say there are 100 households (just for the sake of simplicity). We are told that 90% of them have answering machines. So that means 90 households have answering machines. In addition, 50 households have answering machines and call waiting. Those 50 households are part of the 90 mentioned previously.
We then select a house at random. Someone tells us (or we have some kind of prior knowledge) that whichever house is selected, they have an answering machine. We can ignore the 10 households that don't have an answering machine. Out of those 90 households, 50 have both features. So 50/90 = 5/9 is the probability of getting a household with both features.
The answer would be 1/2 or 50% if we didn't have the prior knowledge of the household having an answering machine. But with this prior knowledge, the conditions change and so does the probability.
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You could also compute 0.50/0.90 to get the same answer.
Answer:
X= 6!
Step-by-step explanation:
7 is half of 14
6 is half of 12
Have a great day!
Answer:
Share of A is $116 and Share of B is $84.
Step-by-step explanation:
Let the share of A be 
Let the share of B be 
Given:
$200 is shared between A and B
So, 
Also given;
twice of A's share is less than 3 times than B's share by $20
Solution:
Now multiplying equation 1 by 3 we get,
Now Adding equation 2 and equation 3 we get
Now Substituting the value of x in equation 1 we get,
Hence, Share of A is $116 and Share of B is $84.
