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Marina86 [1]
3 years ago
14

Peter uses the equation y = StartFraction 13 over 4 EndFraction x to model the number of miles that he has walked in x hours. Wh

ich statement is true about the proportional relationship that is modeled by Peter’s equation?
Peter walks at a rate of StartFraction 4 over 13 EndFraction miles per hour.
Peter walks at a rate of 4 miles per hour.
Peter walks at a rate of StartFraction 13 over 4 EndFraction miles per hour.
Peter walks at a rate of 13 miles per hour.
Mathematics
2 answers:
Alina [70]3 years ago
7 0

Answer:

Peter walks at a rate of StartFraction 13 over 4 EndFraction miles per hour.

Step-by-step explanation:

kotykmax [81]3 years ago
3 0

Answer:

Peter walks at a rate of StartFraction 13 over 4 EndFraction miles per hour.

Step-by-step explanation:

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A study of the effect of smoking on sleep patterns is conducted. The measure observed is the time, in minutes, that it takes to
nordsb [41]

Answer:

The group that has greater value of relative dispersion is the smokers group, as the coefficient of variationof their data is bigger than the coefficient of variation of the non-smokers group data.

CV smokers: 0.387

CV non-smokers: 0.234

Step-by-step explanation:

We will calculate the relative dispersion of each data set with its coefficient of variation (ratio of the standard deviation to the arithmetic mean).

Then, first we calculate the mean and standard deviation for the smokers data:

Mean: 43.7

Standard deviation: 286.5

M_s=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M_s=\dfrac{1}{12}(69.3+56+22.1+47.6+53.2+. . .+13.8)\\\\\\M_s=\dfrac{524.4}{12}\\\\\\M_s=43.7\\\\\\s_s=\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M_s)^2\\\\\\s_s=\dfrac{1}{11}((69.3-43.7)^2+. . . +(13.8-43.7)^2)\\\\\\s_s=\dfrac{3152}{11}\\\\\\s_s=286.5\\\\\\

The mean and standard deviation for the non-smokers is:

Mean: 30.3

Standard deviation: 50.9

M_n=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M_n=\dfrac{1}{15}(28.6+25.1+26.4+34.9+28.8+. . .+13.9)\\\\\\M_n=\dfrac{453.8}{15}\\\\\\M_n=30.3\\\\\\s_n=\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M_n)^2\\\\\\s_n=\dfrac{1}{14}((28.6-30.3)^2+. . . +(13.9-30.3)^2)\\\\\\s_n=\dfrac{713.3}{14}\\\\\\s_n=50.9\\\\\\

Now, we can calculate the coefficient of variation:

CV smokers:

CV_s=\dfrac{s_s}{M_s}=\dfrac{16.9}{43.7}=0.387

CV non-smokers:

CV_n=\dfrac{s_n}{M_n}=\dfrac{7.1}{30.3}=0.234

3 0
4 years ago
Five groups at summer camp have a total of 27 boxes of popsicles to share. How many boxes will each group receive?​
krek1111 [17]

Answer:

5.5

Step-by-step explanation:

You divide 27 by 5.

5 0
2 years ago
Read 2 more answers
Evaluate y5 + x(-7)<br> When x = 2, y = -5
Ymorist [56]

Answer:

45

Step-by-step explanation:

OK, first we turn the variables into into the actual values:

The equation will look like this:

(2)5 + (-5)(-7)

Now its easier to solve!  Lets solve (2)5!

2 * 5 = 10

The equation looks like:

10 + (-5)(-7)  

We will also solve (-5)(-7). Remember that a negative number times a negative number is positive!

-5 * -7 = 35

Lets finish the rest:

10 + 35 = 45.          

Hope this is correct and have a nice day!      

3 0
4 years ago
A veterinarian knows that a 50-pound dog gets 0.5 milligram of a certain medicine, and that the number of milligrams, m, varies
xenn [34]

In the third step, 10 is the mass of the dog. As such, it should have been substituted to w and not to m.

6 0
3 years ago
What are the constants<br> in the equation 3x+2y+4
Natalija [7]

Answer:

4

Step-by-step explanation:

The constant is the number without a variable, usually being added or subtracted from the variable but not multiplied or divided by it.

8 0
3 years ago
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