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3 years ago

Please help! 8th grade math 50 points

Mathematics

1 answer:

UkoKoshka [18]3 years ago

4 0

Answer:

wheres the data given?

Step-by-step explanation:

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Martha ran a 5-kilometer race in 22.5 minutes what is Martha's unit rate

IgorLugansk [536]

22.5/5 = 4.5
For every 4.5 minute, she runs 5 km

4 0

3 years ago

Drove 50 km on 6 L of gasoline. Which proportion would help determine how far she can travel on a full 40 L tank of gasoline?

RoseWind [281]

Answer:

50 : 6 = x : 40 is the proportion

Step-by-step explanation:

50 : 6 = x : 40

x = 50 * 40 : 6

x = 333.33

--------------------------

check

50 : 6 = 333.33 : 40

8.33 = 8.33

The answer is good

3 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

What is the value when 18 times of the difference of 15 and 12 divided by 6?

aliya0001 [1]

Answer:

Step-by-step explanation:

forget all this grammar,

let the number be x,

x = {18(15-12)} / 6

x = {18(3)} / 6

x= 54/6

x= 9

value is therefore 9

3 0

3 years ago

A. Independent B. Inconsistent C. Equivalent D. Consistent

tangare [24]

Answer:

B. Inconsistent (No solutions exist)

Step-by-step explanation:

The linear system that consists of parallel lines are inconsistent, which means that no solutions exist.

8 0

3 years ago

Read 2 more answers