The associative property of real numbers is shown in the number expression 3 + ((-5) + 6) = (3 + (-5)) + 6
<h3>What is an arithmetic operation?</h3>
It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have a number expression:
= 3 + ((-5) + 6) = (3 + (-5)) + 6
As we know in the associative property:
a + (b + c) = (a + b) + c
= (3 + (-5)) + 6
Thus, the associative property of real numbers is shown in the number expression 3 + ((-5) + 6) = (3 + (-5)) + 6
Learn more about the arithmetic operation here:
brainly.com/question/20595275
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Let,
the numbers be "x" and "y"
According to the question,
x = 4y ......................................................equation (1)
![\frac{1}{x} + \frac{1}{y}= \frac{45}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bx%7D%20%2B%20%5Cfrac%7B1%7D%7By%7D%3D%20%5Cfrac%7B45%7D%7B4%7D%20%20)
...................................equation (2)
Taking equation (2)
![\frac{1}{x} + \frac{1}{y}= \frac{45}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%20%2B%20%5Cfrac%7B1%7D%7By%7D%3D%20%5Cfrac%7B45%7D%7B4%7D)
Substituting the value of "x" from equation (1), we get,
![\frac{1}{(4y)} + \frac{1}{y}= \frac{45}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%284y%29%7D%20%2B%20%5Cfrac%7B1%7D%7By%7D%3D%20%5Cfrac%7B45%7D%7B4%7D)
![\frac{1}{4y} + \frac{1}{y}* \frac{4}{4} = \frac{45}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4y%7D%20%2B%20%5Cfrac%7B1%7D%7By%7D%2A%20%5Cfrac%7B4%7D%7B4%7D%20%3D%20%5Cfrac%7B45%7D%7B4%7D)
![\frac{1}{4y} + \frac{4}{4y}= \frac{45}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4y%7D%20%2B%20%5Cfrac%7B4%7D%7B4y%7D%3D%20%5Cfrac%7B45%7D%7B4%7D)
![\frac{1+4}{4y} = \frac{45}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%2B4%7D%7B4y%7D%20%3D%20%5Cfrac%7B45%7D%7B4%7D)
![\frac{5}{4y} = \frac{45}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4y%7D%20%3D%20%5Cfrac%7B45%7D%7B4%7D)
Cross multiplying, we get,
![5*4 = 45*4y](https://tex.z-dn.net/?f=5%2A4%20%3D%2045%2A4y)
![20 = 180y](https://tex.z-dn.net/?f=20%20%3D%20180y)
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![\frac{20}{180} = y](https://tex.z-dn.net/?f=%20%5Cfrac%7B20%7D%7B180%7D%20%20%3D%20y)
![\frac{1}{9} = y](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B9%7D%20%20%3D%20y)
![y = \frac{1}{9}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B9%7D)
Now,
Taking equation (1)
x = 4y
Substituting the value of "y", we get
![x = 4( \frac{1}{9} )](https://tex.z-dn.net/?f=x%20%3D%204%28%20%5Cfrac%7B1%7D%7B9%7D%20%29)
So, the numbers are
and
Answer:19683x
Step-by-step explanation:
Evaluate the exponent
27.93x
27.729x
i am pretty sure sorry if I am wrong
The length would be 230, and the width would be 170, and since there are 4 sides there would be 2 of each. So 230x2=460 and 170x2=340. 460+340= 800
Answer:
.b. It is one‐half as large as when n = 100.
Step-by-step explanation:
Given that a simple random sample of 100 batteries is selected from a process that produces batteries with a mean lifetime of 32 hours and a standard deviation of 3 hours.
i.e. s = 0.3
we obtain se of sample by dividing std devitation by the square root of sample size
i.e. s= ![\frac{3}{\sqrt{n} }](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B%5Csqrt%7Bn%7D%20%7D)
when n =100 this = 0.3 and
when n =400 this equals 0.15
We find that when sample size is four times as large as original, std deviation becomes 1/2 of the original
Correction option is
.b. It is one‐half as large as when n = 100.