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3 years ago

7

On the 1st Jan 2012 Beth invested some money into a bank account.

1 answer:

mixer [17]3 years ago

7 0

Account on 2014 is £17,466 when multipliled by 0.025 (interest per year) it will result to £436.65. So the money she had excluding the interest of the said year is £17,029.35 (17,466 - 436.65).
Going back to 2013, she withdraws £1000. If she has £17,029.35 in 2014, we can add £1000 to get £18, 029.35.If we take 2.5% from £18, 029.35. (18,029.35. x 0.025) the result is £450.73. Excluding the interest of year 2013, the money amounts to £17,578.62 (18,029.35 - 450.73), which is the original invested amount on her bank account from year 2012.

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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.

5 0

3 years ago

Area of a circle of radius is 6.5?

worty [1.4K]

Answer:

see below

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

A = pi (6.5)^2

A =42.25 pi

If we approximate pi by 3.14

A = 42.25 * 3.14 =132.665

If we use the pi button

A = 132.7322896

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marysya [2.9K]

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mixer [17]

Answer:

<AFB

Step-by-step explanation:

The angle that is a vertical angle with <EFD would be the angle that is vertically opposite and equal to <EFD.

Taking a look at the diagram, yiu would observe that <AFB is vertically opposite to <EFD. Therefore, <AFB is a vertical angle with <EFD.

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g100num [7]

4x-5=31

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