A certain forum reported that in a survey of 2005 american adults, 27% said that they believe in astrology.

What is the slope. please hurry up

Wewaii [24]

Answer:

The slope is 1/2

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=2-1/4-2

m=1/2

6 0

3 years ago

A salesperson receives a base salary of $35,000 and a commission of 10% of the total sales for the year. a.) Write a linear mode

Viktor [21]

Answer:

Part a) The linear model that shows the salesperson’s total income is equal to

$0.10k+\$35,000$

Part b) The total income is $\$60,000$

Step-by-step explanation:

Part a)

Let

k-------> the total sales for the year

y-----> the total income for the year

we know that

The linear equation that represent the situation is

$y=0.10k+\$35,000$

Part b) we have

$k=\$250,000$

substitute the value of k in the linear model to find the total income

$y=0.10(\$250,000)+\$35,000$

$y=\$25,000+\$35,000$

$y=\$60,000$

5 0

3 years ago

Angles are always measured in degrees.

koban [17]

No angles are not always measured in degrees

4 0

4 years ago

Read 2 more answers

What is the measure of the indicated angle?

snow_lady [41]

Answer:

110

Step-by-step explanation:

The angles are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

? = 110

5 0

3 years ago

Read 2 more answers

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

3 years ago