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Mrrafil [7]
4 years ago
15

Isaac has 21 green marbles and 7 blue marbles. He wants to place them in identical groups without any marbles left over. What is

the greatest number of groups Isaac can make? PLEASE ANSWER WITH WORK!!!
Mathematics
2 answers:
Mariulka [41]4 years ago
6 0

Answer:

7 groups.

Step-by-step explanation:

We have been given that Isaac has 21 green marbles and 7 blue marbles. He wants to place them in identical groups without any marbles left over.

To find the greatest number of groups Issac can make we will find the GCF of 7 and 21.

Factors of 7 are: 1, 7.

Factors of 21 are: 1, 7, 3, 21.

We can see that 7 is the greatest common factor of 7 and 21, therefore, Issac can make 7 groups from 21 green marbles and 7 blue marbles.

Let us find number of each type of marble is each group.

\text{Number of green marbles in each group}=\frac{21}{7}

\text{Number of green marbles in each group}=3

Therefore, there will be 3 green marbles in each group.

\text{Number of blue marbles in each group}=\frac{7}{7}

\text{Number of blue marbles in each group}=1

Therefore, there will be 1 blue marble in each group.

Nikitich [7]4 years ago
4 0
Itll be 3 groups because 21/7=3
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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

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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

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4 years ago
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Answer:

y-4=0.4(x+2)

Step-by-step explanation:

y-y1=m(x-x1)

4 0
3 years ago
Which set of points below represents a function
Fynjy0 [20]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
Three watermelons and two cantaloupes weigh 32 pounds. Four watermelons and three cantaloupes weigh 44 pounds. All watermelons w
NemiM [27]

Answer:

Step-by-step explanation:

watermelon=w

cantaloupe=c

3w+2c=32    x3    9w+6c=96

4w+3c=44     x2   8w+6c=88

(9w+6c) - (8w+6c) =

96-88=

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2(5 1/3)+8=

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3 0
3 years ago
In the evening, the temperature is 28 degrees. By midnight it has dropped 31 degrees lower. Between midnight and 4 am it goes do
dalvyx [7]

Answer: 21 degrees

Step-by-step explanation:

In the evening, the temperature is 28 degrees and by midnight it has dropped 31 degrees lower, the temperature by midnight will be:

= 28° - 31°

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Between midnight and 4 am it goes down 6 more degrees. The temperature by 4am will be:

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Then, by 9 am, the temperature goes up 30 degrees, the temperature at 9 am will then be:

= -9° + 30°

= 21°

4 0
3 years ago
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