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2 years ago

Perform the indicated operation. 13/16 – 3/8 7/16 5/8 1 3/16

Mathematics

2 answers:

Vika [28.1K]2 years ago

7 0

13/16 - 3/8

convert 3/8 to 16ths

3/8 = 6/16

13/16 - 6/16 =

13/6 =7

7/16 is the answer

marin [14]2 years ago

3 0

Answer:

The correct option is 1.

Step-by-step explanation:

The given expression is

$\frac{13}{16}-\frac{3}{8}$

We need to perform the indicated operation.

Make denominator common.

$\frac{13}{16}-\frac{3\times 2}{8\times 2}$

$\frac{13}{16}-\frac{6}{16}$

It can be written as

$\frac{13-6}{16}$

$\frac{7}{16}$

The value of given expression is $\frac{7}{16}$ .

Therefore the correct option is 1.

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An automobile dealer wants to see if there is a relationship between monthly sales and the interest rate. A random sample of 4 m

SVETLANKA909090 [29]

Answer:

a) $y=-6.254 x +75.064$

b) r =-0.932

The % of variation is given by the determination coefficient given by $r^2$ and on this case $-0.932^2 =0.8687$ , so then the % of variation explained by the linear model is 86.87%.

Step-by-step explanation:

Assuming the following dataset:

Monthly Sales (Y) Interest Rate (X)

22 9.2

20 7.6

10 10.4

45 5.3

Part a

And we want a linear model on this way y=mx+b, where m represent the slope and b the intercept. In order to find the slope we have this formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=278.65-\frac{32.5^2}{4}=14.5875$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=696.9-\frac{32.5*97}{4}=-91.225$

And the slope would be:

$m=\frac{-91.225}{14.5875}=-6.254$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{32.5}{4}=8.125$

$\bar y= \frac{\sum y_i}{n}=\frac{97}{4}=24.25$

And we can find the intercept using this:

$b=\bar y -m \bar x=24.25-(-6.254*8.125)=75.064$

So the line would be given by:

$y=-6.254 x +75.064$

Part b

For this case we need to calculate the correlation coefficient given by:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

$r=\frac{4(696.9)-(32.5)(97)}{\sqrt{[4(278.65) -(32.5)^2][4(3009) -(97)^2]}}=-0.937$

So then the correlation coefficient would be r =-0.932

The % of variation is given by the determination coefficient given by $r^2$ and on this case $-0.932^2 =0.8687$ , so then the % of variation explained by the linear model is 86.87%.

6 0

2 years ago

When is it better to use a table in math

Galina-37 [17]

Answer:

in certain questions

Step-by-step explanation:

only use a table in Math when it is necessary. for example, when you are trying to find the coefficient.

3 0

2 years ago

Please help me with the correct answer

Irina18 [472]