x³ + y³ + z³ - 3xyz is a multiple of x+y+z.
<h3>What is a multiple?</h3>
It should be noted that a multiple simply means a number that van be divided by another a certain number if times without a remainder.
Put x + y + z = 0
= x³ + y³ + z³ - 3xyx
= 0(x² + y² + z² - xt - yz - zx)
= x³ + y³ + z³ - 3xyz = 0.
x³ + y³ + z³ = 3xyz
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Answer: The complete question is found in the attachment
Step-by-step explanation:
Law of large numbers: The probability of occurrence of an event becomes closer to the theoretical probability as the number of trials increases
P(an ace) = 1/6
= 0.1667
= 16.67%
a) In 600 rolls, the value will be close to 16.67. compared to 60 rolls
Greater than 20% interval doesn't include 16.67%. So, for more than 20% ace, 60 rolls is better.
b) More than 15% interval includes 16.67. So, it is better to roll 600 times
c) The interval between 15% and 20% include 16.67% and hence, 600 rolls is better
d) Larger number of trials is better to get exactly 16
So, 600 rolls is better
Answer:
20
Step-by-step explanation:
-4 x (-5) = 20
See in the explanation
<h2>
Explanation:</h2>
In this exercise, <em>we have the following points:</em>
![(0.8) \\ \\ (6.4)](https://tex.z-dn.net/?f=%280.8%29%20%5C%5C%20%5C%5C%20%286.4%29)
And <em>the following linear equations:</em>
![(1) \ y=-x+8 \\ \\ (2) \ y=\frac{3}{2}x+6 \\ \\ (3) \ y=-\frac{4}{5}x+4 \\ \\ (4) \ y=\frac{1}{2}x+8](https://tex.z-dn.net/?f=%281%29%20%5C%20y%3D-x%2B8%20%5C%5C%20%5C%5C%20%282%29%20%5C%20y%3D%5Cfrac%7B3%7D%7B2%7Dx%2B6%20%5C%5C%20%5C%5C%20%283%29%20%5C%20y%3D-%5Cfrac%7B4%7D%7B5%7Dx%2B4%20%5C%5C%20%5C%5C%20%284%29%20%5C%20y%3D%5Cfrac%7B1%7D%7B2%7Dx%2B8)
When plotting these graphs, we find the following facts:
<h3>For (1):</h3>
We see the graph in the first figure below. The graph only passes through the point (0, 8)
<h3>For (2):</h3>
This is the second graph below. The graph passes neither through point (0, 8) nor (6, 4)
<h3>For (3):</h3>
This is the third graph below. The graph passes neither through point (0, 8) nor (6, 4)
<h3>For (4):</h3>
This is the fourth graph below. The graph only passes through the point (0, 8)
So, <em>there is no any equation of the line that passes through the points (0.8) and (6.4) at the same time.</em>
<em />
<h2>Learn more:</h2>
About lines: brainly.com/question/12169569
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Answer:
when you simplify √55
you get
7.41619848.....
the integer closest to 7.41619848... is 7
So the answer is 7