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antiseptic1488 [7]
3 years ago
11

Find the sum and express it in simplest form. (3t2 + 6t + 1) + (-9t2 - 5t)

Mathematics
1 answer:
Sonbull [250]3 years ago
7 0
 (3t^2 + 6t + 1) + (-9t^<span>2 - 5t)
= </span> 3t^2 + 6t + 1 -9t^<span>2 - 5t
= -6t^2 + t + 1</span>
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Step-by-step explanation:

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Please consider the following values for the variables X and Y. Treat each row as a pair of scores for the variables X and Y (wi
Studentka2010 [4]

Answer:

The Pearson's coefficient of correlation between the is 0.700.

Step-by-step explanation:

The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

The formula to compute correlation between two variables <em>X</em> and <em>Y</em> is:

r(X, Y)=\frac{Cov(X, Y)}{\sqrt{V(X)\cdot V(Y)}}

The formula to compute covariance is:

Cov(X, Y)=n\cdot \sum XY-\sum X \cdot\sum Y

The formula to compute the variances are:

V(X)=n\cdot\sum X^{2}-(\sum X)^{2}\\V(Y)=n\cdot\sum Y^{2}-(\sum Y)^{2}

Consider the table attached below.

Compute the covariance as follows:

Cov(X, Y)=n\cdot \sum XY-\sum X \cdot\sum Y

                 =(5\times 165)-(30\times 25)\\=75

Thus, the covariance is 75.

Compute the variance of X and Y as follows:

V(X)=n\cdot\sum X^{2}-(\sum X)^{2}\\=(5\times 226)-(30)^{2}\\=230\\\\V(Y)=n\cdot\sum Y^{2}-(\sum Y)^{2}\\=(5\times 135)-(25)^{2}\\=50

Compute the correlation coefficient as follows:

r(X, Y)=\frac{Cov(X, Y)}{\sqrt{V(X)\cdot V(Y)}}

            =\frac{75}{\sqrt{230\times 50}}

            =0.69937\\\approx0.70

Thus, the Pearson's coefficient of correlation between the is 0.700.

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3 years ago
suppose marcus delivers papers at a rate of 9 papers in 18 minutes.How much longer would it take him to deliver 100 papers than
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We need to write the following expression and solve for x:

9/18 = 100/x

So: 9x = 1800

x = 200

So it would take him 200 minutes to deliver 100 papers.

We do the same for 72 papers

9/18 = 72/x

so 9x = 1296

and x = 144

It would take him 144 minutes to deliver 72 papers.

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2 years ago
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Answer:

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Step-by-step explanation:

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