The letters in MATH can be arranged 16 ways. D.
Answer:
Domain- the set of possible values of the independent variable or variables of a function.
Range- the set of values that a given function can take as its argument varies.
Answer:
Below.
Step-by-step explanation:
We have 6/6 the radius and 10/30 that means the height of b is 3 times greater then a therefore the answer is D.
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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: The answer is 
Step-by-step explanation: Given that a school wants to put on a dance recital. The programs of Middle school dancer will be short of 4 minutes each and programmes of High school performers will be long of 7 minutes each.
Number of middle school dances is "M" and number od high school dances is "H".
Since there cannot be more than 10 dances all together, so fisrt inequality can be written as
Also, the entire recital must take maximum 90 minutes, so the second inequality can be written as
Thus, the pair of inequalities is
