Split up the interval [0, 2] into <em>n</em> equally spaced subintervals:
![\left[0,\dfrac2n\right],\left[\dfrac2n,\dfrac4n\right],\left[\dfrac4n,\dfrac6n\right],\ldots,\left[\dfrac{2(n-1)}n,2\right]](https://tex.z-dn.net/?f=%5Cleft%5B0%2C%5Cdfrac2n%5Cright%5D%2C%5Cleft%5B%5Cdfrac2n%2C%5Cdfrac4n%5Cright%5D%2C%5Cleft%5B%5Cdfrac4n%2C%5Cdfrac6n%5Cright%5D%2C%5Cldots%2C%5Cleft%5B%5Cdfrac%7B2%28n-1%29%7Dn%2C2%5Cright%5D)
Let's use the right endpoints as our sampling points; they are given by the arithmetic sequence,
where 
. Each interval has length 
.
At these sampling points, the function takes on values of
We approximate the integral with the Riemann sum:
Recall that
so that the sum reduces to
Take the limit as <em>n</em> approaches infinity, and the Riemann sum converges to the value of the integral:
Just to check:
8/9 is equal to in decimal form <span>0.88888889. You do long division. After all number finished add a decimal and add a 0 and bring that down and keep going until you can't divide anymore.</span>
<em>Answer:</em>
<em>d</em>
<em />
<em>0.9</em>
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<em>The value of a correlation coefficient ranges between -1 and 1.</em>
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<em>The greater the absolute value of the Pearson product-moment correlation coefficient, the stronger the linearrelationship.</em>
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<em>The strongest linear relationship is indicated by a correlation coefficient of -1 or 1.</em>
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<em>The weakest linear relationship is indicated by a correlation coefficient equal to 0.</em>
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<em>A positive correlation means that if one variable gets bigger, the other variable tends to get bigger.</em>
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<em>A negative correlation means that if one variable gets bigger, the other variable tends to get smaller.</em>
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<em>hope it helps.</em>
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Answer:
20.25 lbs
Step-by-step explanation:
Multiply 27 by 3/4 or .75 to equal 20.25.
I can't complete the equation or the sentence because they have not been provided. However, I can write you an equation to model this situation.
Answer:
18x6=108
Step-by-step explanation:
If each table seats 6 people, there are 18 tables, and we are trying to find the total number of seated persons, it can be modeled as such:
tables x capacity of each table=total number of seated persons
plug in:
18x6=108
