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ANTONII [103]
3 years ago
5

Lisa had a set of 12 toy cars. Then she gave her sister 3 cars. What fraction of Lisa's set did Lisa give to her sister.

Mathematics
1 answer:
Trava [24]3 years ago
5 0
Lisa gave her sister 1/4, or one-fourth of her toy cars. Brainliest would really help!
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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
3 years ago
Firewood is often sold by the cord. A cord of wood is a bundle measuring 4 feet by 4 feet by 8 feet. What's the volume of a cord
NARA [144]
To find the volume of the following Firewood, we would do this:

4 * 4 * 8 = 128 cubic feet

Therefore, the volume of the firewood is 128 cubic feet.
Make sure to mark as brainiest. 
3 0
3 years ago
What are the common factors of 8 and 16
julia-pushkina [17]
The common factor of 8 and 16 are 1, 2, 4, and 8.
5 0
3 years ago
Read 2 more answers
Is 0.6 60 and 6 equal?
quester [9]

Answer:

Yesss

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Pam’s eye-level height is 324 ft above sea level, and Adam’s eye-level height is 400 ft above sea level. How much farther can Ad
Tanzania [10]

Answer: The answer is √6 mi.

The formula is: d = √(3h/2)

Pam:

h = 324 ft

d = √(3 * 324/2) = √486 = √(81 * 6) = √81 * √6 = 9√6 mi

Adam:

h = 400 ft

d = √(3 * 400/2) = √600 = √(100 * 6) = √100 * √6 = 10√6 mi

How much farther can Adam see to the horizon?

Adam - Pam = 10√6 - 9√6 = √6 mi

6 0
3 years ago
Read 2 more answers
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