Steps to solve
<span>1) Set up the long division.
2) </span><span>Calculate 23 ÷ 6, which is 3 with a remainder of 5.
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3) <span>Therefore, 23 ÷ 6 = 3 with a remainder of 5.
</span><span>Express as a mixed fraction = </span>
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Let the number be n.
Then:
n^2 + (1/n)^2 = 82/9; find n. Find the LCD; it is 9n^2.
Mult all 3 terms by 9n^2:
82*9n^2
9n^4 + 9 = (82/9)(9n^2) => 9n^4 + 9 = ------------
9
Then 9n^4 - 82n^2 + 9 = 0
I used my graphing calculator to find that n = 3.
Let's check: is 3^2 + (1/3)^2 = 82/9?
Is 9 + 1/9 = 82/9?
Is 81 + 1 = 82? YES. So, n=3 is a solution.
Answer: (x-3)(x+1)(x+7)
Step-by-step explanation:
Step-by-step explanation:
-3(2x-3)=6x+9
-6x+9=6x+9
-6x-6x=9-9
-12x=0
x=0
Solution: We are given:
We have to find the amount of water that represents the top 97.5%.
We need to find the z value corresponding to probability to 0.975. Using the standard normal table, we have:
Now using the z score formula, we have:
Therefore, 129.4 ounces amount of water represents the top 97.5%
