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Ira Lisetskai [31]
3 years ago
15

Nicole did an aerobics class and yoga class for at total of 1 hour and 10 minutes. The yoga class was 30 minutes. The yoga class

was 30 minutes longer than the aerobics class. How long was each class.
Mathematics
1 answer:
lana [24]3 years ago
3 0
Yoga class was thirty minutes and the aerobics class was 0 minutes.
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Step-by-step explanation:

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What is the answer to this problem?
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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
Lauren in making 15 liters of mimosas for a brunch banquet. Orange juice costs her $1.50 per liter and champagne costs her $12 p
PSYCHO15rus [73]

Answer:

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Step-by-step explanation:

Let c represent the number of liters of champagne Lauren uses. Then (15-c) will be the number of liters of orange juice. The total cost of the mix will be ...

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  10.5c = 52.50 . . . . . subtract 22.50, simplify

  52.50/10.5 = c = 5 . . . . divide by the coefficient of c

Then the amount of orange juice is ...

  15 -c = 15 -5 = 10 . . . . liters

Lauren should use 5 liters of champagne and 10 liters of orange juice.

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B is the correct answer
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