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Aleksandr-060686 [28]
3 years ago
5

Mei runs 93.24 miles in 3 weeks. If she runs 6 days each week, what is the average distance she runs each day?

Mathematics
1 answer:
olasank [31]3 years ago
4 0

Answer:

5.18 miles each day

Step-by-step explanation:

3 weeks × 6 days = 18 days

93.24 miles in 18 days gives an average of 93.24 ÷ 18 = 5.18 miles per day

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The number of motor vehicles registered in millions in the US has grown as follows:
zysi [14]

Answer:

a) Figure attached

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

For our case we have this:

n=10 \sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274  

r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.819)^2][10(192.8274) -(43.5231)^2]}}=0.989  

So then the correlation coefficient would be r =0.989

Step-by-step explanation:

Previous concepts

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

Solution to the problem

Part a

Year (x): 1940, 1945 1950, 1955, 1960, 1965, 1970, 1975, 1980, 1985

Vehicles (Y): 32.4, 31.0, 49.2, 62.7, 73.9, 90.4, 108.4, 132.9, 155.8, 171.7

After apply natural log for the two variables and create the scatterplot in excel we got the following result on the figure attached.

Part b

And in order to calculate the correlation coefficient we can use this formula:  

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

For our case we have this:

n=10 \sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274  

r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.81948)^2][10(192.8274) -(43.5231)^2]}}=0.989  

So then the correlation coefficient would be r =0.989

4 0
3 years ago
What is the answer for 6p=7=11
Alex777 [14]

Answer:

6p=3\\

Step-by-step explanation:

Move all terms that don't contain p to the right side and solve.

4 0
3 years ago
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lutik1710 [3]
                                    Play Football          Don't Play Football            Total
Play Baseball                    5                                  22                               27

Don't Play baseball          11                                20                                31
 
Total                                16                                 42                                58

The bolded numbers are the ones that were given in the question. I got the other figures by subtracting as necessary (wherever I could find 2 already filled in figures). 
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3 years ago
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Without using a calculator, choose the statement that the best describes the value of 24. Help me please...​
Viktor [21]

Answer:

B

Step-by-step explanation:

check the answer,4 square=16,

4.5 square=20.25,

5 square=25

20.25<24<25,

so 4.5<square root of 24<5

6 0
3 years ago
How do you solve this: Чx - 15 : 7х + 21
forsale [732]

Answer:

you can't solve this because it's not an equation

Step-by-step explanation:

3 0
3 years ago
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