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Statistics

Statistics deals with collecting, organizing, and interpreting numerical data. An important aspect of statistics is the analysis of population characteristics inferred from sampling.

36,756 Questions

How many feet in .508 kilometers?

1 inch = 2.54 cm

The question is the number of feet in 508 m or 50800 cm

Going from a smaller unit (cm) to the larger one (inches) we divide

50800 / 2.54 = 20000 inches

1 foot = 12 inches

20000 / 12 = 1666.666 feet.

1666 feet 8 inches■

How many feet are in 622 kilometers?

There are 0.0003048 feet in one kilometre. Therefore, rounded to two decimal places, 622 kilometres is equal to 622/0.0003048 = 2040682.41 feet.

How many different combinations of 2 courses can Kevin take out of 6 different classes?

The answer is 15.

(5*6)/2 = 15.

The following are all the possible combinations, where the order is insignificant:

1-2, 1-3, 1-4, 1-5, 1-6, 2-3, 2-4, 2-5, 2-6, 3-4, 3-5, 3-6, 4-5, 4-6, 5-6.

The sum of all those possibilites equals 15.

A third way of finding the answer is to notice that there are 5 ways to combine one class with each of the 5 other classes, 4 ways to combine the second class with the remaining classes, etc. 5 + 4 + 3 + 2 + 1 = 15.

How many 6 digit numbers from 2 3 4 5 7 9?

If they can only be used once each: 720

If they can repeat: 46,656

Does the x coordinate in the ordered pair correspond to the input or the output?

Neither, as a graph can be read from either axis to get a value on the other axis.

However, the x coordinate is usually considered the independent variable as an equation is usually written as y = f(x), so it could be considered the input.

However, from y = f(x), it can often be re-arranged to get x = f-1(y) which would make x the output! eg:

y = 2x + 4

→ 2x + 4 = y

→ 2x = y - 4

→ x = 1/2 y - 2

How many 5 number combinations can be made from 96667?

You would use combinations instead of permutations so just type in your calculator 96667C5 and you should get 70333953523652148234618

Or, you could use the formula...

r=number chosen

n=number to chose from

n!/((n-r)!(r!))

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If the question was meant to ask - How many 5 number combinations (actually,

permutations) can be made from (the digits) 9,6,6,6,7 ? - The answer would be:

2(5C2) = 2[5!/(3!2!)] = 20

i.e., 96676, 96766, 97666, ...

How many even four digit can made from 0.2.3.4.6.7.8 if no digit can be repeated?

We know that in order to be even the last digit must be one of the 4 possible: 0,2,4 or 8. This leaves 6 digits for the 1st number, 5 for the 2nd and 4 for the third.

so 4 x 6 x 5 x 4 = 480 possible 4 digit even numbers

What are the fundamental theorem of linear programming in quantitative methods?

This usually applies to word problems with several variables which are 'connected' in the story. There are also some additional statements about cost or profit.

The constraints are used to write equations. These are graphed and there is usually an enclosed space, Because all the equations form straight lines, hence the name linear programming. Intersections of these lines gives pionts where the max profit or min cost will occur.

Take these points and put them into the cost/profit equation to find the max/min.

The fundamental theorem is that the max/min will occur at these intersection points that is the whole point of graphing and finding the intersections.