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A set of five distinct positive integers has a mean of 1000 and a median of 100 What is the largest possible integer that could be included in the set?
median = 100, mean = 1000 set of numbers = {a,b,100,c,d} a+b+100+c+d = 5000 As the set contains distinct numbers, and there is no range that is given in the problem, we can consider the set of numbers as {1,2,100,101,4796} So the largest possible integer can be 4796.
What does an integer plus another integer equal?
an integer plus and integer will always be an integer. We say integers are closed under addition.
When you subtract a positive integer by a positive integer do you get a positive integer?
If the integer subtracted is smaller than or equal to the first integer, then the answer is positive. Otherwise, if the integer subtracted is larger, then the answer is negative.
What is 0.1 as an integer?
It is not an integer, nor can it ever be an integer. It can, however, be rounded to the nearest integer, in which case 0.1 will round to 0 to the nearest integer.
What is the quotient of a negative integer and a negative integer?
a negative integer
How many integer sided triangles can be formed having a perimeter of 12?
Three: 2, 5, 5 3, 4, 5 and 4, 4, 4
What is a distinct integer?
Distinct integer is a number with non fraction or decimal.
What is the largest integer that is not a sum of distinct power?
the largest integer of distinct power is 28
How many triangles with integer sides are there where its perimeter is 9cm's?
Only 3: [1,4,4], [2,3,4] and [3,3,3] Remeber that the sum of the lengths of any two sides MUST be greater than the third side. So triangles like [1,2,6] cannot exist.
Is the perimeter of a square an integer?
Not always
Which measure is closest to the area of an equilateral triangle with a perimeter of 12 centimeters?
It is: 0.5*4*4*sin(60 degrees) = 7 square cm rounded to nearest integer
What is the perimeter of an equilateral triangle whose area is 97.428 square cm showing work and answer to the nearest integer?
Let the sides be s:- If: 0.5*s squared*sin(60 degrees) = 97.428 Then: s = square root of 97.428*2/sin(60 degrees) => 15.00001094 Perimeter: 3*15 = 45 cm
The largest integer that is not a sum of distinct powers?
30 distinct powers are 13,14, and 1523
What types of right triangle have all integer values for their sides?
isosceles right triangles
How many distinct positive integer factor does the number 80 have?
10 of them.
What is the greatest perimeter of a rectangle with integer side lengths and an area of 2014 cm2?
It is 182 cm.
What is a distinct positive integer?
Positive means greater than zero; Integer means a whole number. A positive integer is also known as a counting number: one of 1, 2, 3, 4, etc. Finally, distinct means a number that is different - from some numbers that have been specified earlier.
