Find the mean ( average):
105 + 104 + 110 + 112 + 114 + 106 + 108 +109 = 868
Mean = 868 / 8 = 108.5
Standard deviation:
108.5 - 105 = 3.5, 3.5^2 = 12.25
108.5 - 104 = 4, 4^2 = 16
110 - 108.5 = 1.5, 1.5^2 = 2.25
112 - 108.5 = 3.5, 3.5^2 = 12.25
114 - 108.5 = 5.5, 5.5^2 = 30.25
108.5 - 106 = 2.5, 2.5^2 = 6.25
108.5 - 108 = 0.5, 0.5^2 = 0.25
109 - 108.5 = 0.5, 0.5^2 = 0.25
12.25 + 16 +2.25 + 12.25 + 30.25 +6.25+0.25+0.25 = 79.75
79.75/8 = 9.96875, SQRT(9.96875) = 3.1573
Standard Deviation = 3.1573
108.8 +/- 1.96 *(3.1573/sqrt(8) = 110.687 and 106.312
110.687 - 108.5 = 2.19
108.5 - 106.312 = 2.19
Margin of error = +/- 2.19
Hi!
We can see here that this is a composition question.
And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).
To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.
Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.
2s cancel.
The natural log and e cancel.
s cancel.
7s cancel.
Hope this helps!
Not enough info. But assuming it’s a rectangular, area = length * width
3/4*11/12 = 33/48 = 11/16 square feet
2×9= 18
18÷9= 2
Answer: 2 cups of fruit punch.
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Explanation: so, you divide. why do I know this? because it doesn't say "times," (multiplication word) "more than," (addition word) "less than/ left over." (subtraction word) so what your looking for is "equally," and "each."
So, can you do 2÷9? no, you cant. so you have to multiply 2×9 to get the answer. and what's the answer? 18!
so, now, can you divide 18÷9? yes!! why? because you can only divide big numbers like 18. and you can't divide small numbers like 2 or 9. do you get what I'm saying?
so, what's 18÷9? 2!!
I hope this helps! :) if you still don't understand it just please let me know :)
