The average of six numbers is 22. The numbers are 20,17,18,24,29 and x. Find x
2 answers:
Answer:
Therefore, x = 24 .
Step-by-step explanation:
Given : The average of six numbers is 22. The numbers are 20,17,18,24,29 and x
To find : Find x.
Solution : We have given The average of six numbers is 22.
.
Mean = 22
.
On multiplying both sides by 6
22 *6 = 108 + x .
132 = 108 + x
On subtracting both sides by 108.
132 -108 = x
24 = x .
Therefore, x = 24 .
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Hi!
Square roots where the things under the root are multiplied (for example ) can be split up into
.
That's what I'm going to do in this case. I'm going to split into
Now, the cube root of 125 is 5, because 5 * 5 * 5 = 125, and that is the definition of a cube root. (What multiplied 3 times by itself is equal to what's under the root)
Now to look at what the cube root of is.
A cube root can be rewritten as , same as a square root can be rewritten to
.
So if you take the cube root of x^12, you can change it to:
If you have a case like this, then you can multiply the two powers (in this case 12 and 1/3) to simplify it. 12 * 1/3 = 4, so you get x^4.
Now putting the two together, you get:
5 as your answer.
Hope this helped!