17. Match each example with the appropriate property.
1 answer:
Answer:
- x+(-x)=0 matches D. Additive inverse (When you add at any number its inverse value, the result is allways 0 - zero- example : 3 + (-3) =3 -3 =0.
- x+ 0 =x matches C. Additive identity (Zero is a neutral element in any sum, then, if you add zero to any number, the number remains the same, example: 3 + 0 =3)
- (sorry, I understand that this expression may be not well copied) x. (1/x) = 1 matches B. multiplicative inverse (multiplicative inverse is that number that when multiply with our originalnumber,in this case x will give us the number 1 - example: the multiplicative inverse of 3 is
, because
.
- x . 1 = x matches A. Multiplicative identity (One is the neutral element of multiplication, thenif you multiply any number by 1, it remains the same, example: 3 . 1= 3)
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Note that Range = Max – Min.
In this case, Max = 452452, Min = 221221.
Hence, Range = 452452 – 221221 = 228230.
Sample Variance:
where n = 4,
Hence
![s^2= \frac{1}{4-1}[( 419419 - 374374)^2 + (452452-374374)^2+\\ (404404-374374)^2+ (221221-374374)^2)]\\ = 1.0828 \times 10^{10} ](https://tex.z-dn.net/?f=%20s%5E2%3D%20%5Cfrac%7B1%7D%7B4-1%7D%5B%28%20419419%20-%20374374%29%5E2%20%2B%20%28452452-374374%29%5E2%2B%5C%5C%0A%28404404-374374%29%5E2%2B%20%28221221-374374%29%5E2%29%5D%5C%5C%0A%3D%201.0828%20%5Ctimes%2010%5E%7B10%7D%0A)
Then standard deviation =
In this case, Max = 452452, Min = 221221.
Hence, Range = 452452 – 221221 = 228230.
Sample Variance:
where n = 4,
Hence
Then standard deviation =