First, lets start with the greatest 4-digit number. That would be 9,999.99999999999, with 9 to ∞, because the next number is a 5-digit number. The smallest 6-digit number is 100,000, because the number preceding 100,000 is a 4 digit number. To find difference, you have to subtract. 100,000 minus 9,999.9999 continued gives you 90,000.000000 to ∞ with a one with 1 at the end. You would write 90,000.01 with bar notation over only the 0 to indicate that it goes on to infinity.
Answer:
Range: 36
Variance: 103.69
Standard Deviation: 10.18282868
Step-by-step explanation:
Because we were not told otherwise I think it would be fair to say that everything has an equal probability
Let's start by finding the range
the range is the largest value minus the smallest
40-4=36
Let's then find the variance
the variance is the second moment minus the first moment squared
first moment: .1(10+9+5+7+5+6+4+6+7+40)= 9.9
second moment: .1(10²+9²+5²+7²+5²+6²+4²+6²+7²+40²)= 201.7
201.7-9.9²= 103.69
The standard deviation is simply just the square root of the variance
√(103.69)= 10.18282868
not sure what they meant by the rounding part so I'll leave that to you
1.) 3x -4 <_ 2
Add 4 to both sides.
-4 + 4 = 0
2 + 4 = 6
3x <_ 6
Divide both sides by 3.
3x / 3 = x
6 / 3 = 2
x <_ 2 is your answer for the first inequality.
2.) 2x + 11 _> -1
Subtract 11 from both sides.
11 - 11 = 0
-1 -1 = -2
2x _> -12
Divide both sides by 2.
2x / 2 = x
-12 / 2 = -6
x _> -6 is your answer for the second inequality.
I hope this helps!
Answer:
-1/60
Step-by-step explanation:
= 
= 
(find LCM of demoninators)
= 
= 
= -1/60
well, the area of a parallelogram is simply A = bh.
we know that "b" and "h" are whole numbers or namely integers, and we know the area is 6, doing a quick prime factoring of 6 we simply get
6 = 2 * 3
2 and 3 are both prime, in how many ways can we arrange them? just 2 and 3 or 3 and 2, so those are the only possible values for "b" and "h".
