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krek1111 [17]
3 years ago
5

The dot plots below show the distances traveled by two groups of bikers: Two dot plots are labeled Group A and Group B. The hori

zontal axis is labeled Distance Traveled and marked from 15 to 40 at increments of 5 for both dot plots. Group A shows 9 dots on 15, 8 dots on 20, 3 dots on 25, 6 dots on 30, 4 dots on 35. Group B shows 10 dots on 20, 6 dots on 25, 4 dots on 30, 9 dots on 35 and 6 dots on 40.
Which of the following inferences can be made using the dot plots?
There is no overlap between the data.
The range of the two groups is different.
Group A has a higher mean than group B.
Group B has a higher mean than group A.
Mathematics
2 answers:
RoseWind [281]3 years ago
8 0
The correct answer is that Group B has a higher mean.

The range of Group A is 35-15 = 20.  The range of Group B is 40-20 = 20.  There is no difference.

The mean of Group A is found by adding all of the data points and dividing by the number of data points:
15(9)+20(8)+25(3)+30(6)+35(4)=690; 690/30 = 23.

The mean of Group B is:
20(10)+25(6)+30(4)+35(9)+40(6)=1025; 1025/35 = 29.29

The mean of Group B is higher.
lozanna [386]3 years ago
5 0

Answer:

The answer is group B

Step-by-step explanation:

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Convert (CAB) 16 to decimal<br><br>need help asap
Mrrafil [7]

Remark

So CAB is a base 16 number? I hope that's correct. I'll treat it that way. If I am incorrect, please leave a note and I'll modify my answer accordingly.

Expand

A = 10 in decimal

B = 11  in decimal

C = 12 in decimal

B is the "units" value in decimal it is 11

A is the "tens" value or 12 place and in decimal you would get 12 * 10 = 120

C is the "hundreds" value or 12^2 place and in decimal you would get 144*12 =1728

Now you need to all all three results together. 11 + 120 + 1728 = 1850

Answer

(CAB)_16 = 1850 in decimal

6 0
3 years ago
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John wants to make a 100 ml of 6% alcohol solution mixing a quantity of a 3% alcohol solution with an 8% alcohol solution. What
mart [117]

Answer:

-50 ml of 3% alcohol solution and 150 ml of 8% alcohol solution

Step-by-step explanation:

For us to solve this type of mixture problem, we must represent the problem in equations. This will be possible by interpreting the question.

Let the original volume of the first alcohol solution be represented with x.

The quantity of the first alcohol solution needed for the mixture is 3% of x

                   ⇒ \frac{3}{100} * x

                       = 0.03x

Let the original volume of the second alcohol solution be represented with y.

The quantity of the second alcohol solution needed for the mixture is 5% of y

                   ⇒ \frac{5}{100} * y

                       = 0.05y

The final mixture of alcohol solution is 6% of 100 ml

                 ⇒ \frac{6}{100} * 100 ml

                       = 6 ml

Sum of values of two alcohol solutions = Value of the final mixture

                     0.03x + 0.05y = 6 ml               ..........(1)

Sum of original quantity of each alcohol solution = Original volume of the of mixture

                     x + y = 100 ml                          ..........(2)      

For easy interpretation, I will be setting up a table to capture all information given in the question.

Component                       Unit Value      Quantity(ml)       Value

3% of Alcohol solution        0.03                 x                     0.03x

8% of Alcohol solution        0.08                 y                     0.08y

Mixture of 100ml of 6%        0.06               100                       6    

                                                                x + y = 100       0.03x + 0.08y =6

Looking at the equations we derived, we have two unknowns in two equations which is a simultaneous equation.

                                0.03x + 0.05y = 6 ml               ..........(1)

                                x + y = 100 ml                           ..........(2)    

Using substitution method to solve the simultaneous equation.

Making x the subject of formula from equation (2), we have,

                                x  = 100 - y                                 ..........(3)

Substituting  x  = 100 - y from equation (3) into equation (1)

                               0.03(100 - y) + 0.05y = 6  

                               3 - 0.03y + 0.05y = 6  

Rearranging the equation,            

                               0.05y - 0.03y = 6 - 3

                               0.02y = 3

                               y = \frac{3}{0.02}

                               y = 150 ml

Substituting y = 150 ml into equation (3) to get x

                              x  = 100 - 150 ml

                              x = - 50 ml

The quantity of the first alcohol solution needed for the mixture for 3% is - 50 ml

The quantity of the second alcohol solution needed for the mixture for 5% is 150 ml

This solution means 50 ml of the first alcohol solution must be removed from the mixture with 150 ml of the second alcohol solution to get a final mixture of 100 ml of 6% alcohol solution.

3 0
2 years ago
HJ
Olin [163]

Answer:

19 degrees

Step-by-step explanation:

From the question given

The interior angles are x+12 and x - 3

Exterior angle is <IJK = 5x-6

Using the rule that states that the sum of interior angle of a triangle is equal to the exterior

<JHI + <HIJ = <IJK

x+12 + x-3 = 5x - 6

2x+9 = 5x -6

2x - 5x = -6-9

-3x = -15

x = -15/-3

x = 5

Get <IJK

Recall that <IJK = 5x - 6

<IJK = 5(5) - 6

<IJK = 25-6

<IJK = 19 degrees

Hence the measure of <IJK is 19 degrees

8 0
3 years ago
If the function f(x)=-1/2x-7 were graphed, which of the following would be true? A. The y-values would be negative. B. As the x-
vagabundo [1.1K]

f(x)= -1/2x-7 (better expressed as   f(x) = (-1/2)x - 7  )   has a negative slope, so as x increases, y decreases.  Answer D is correct.


3 0
3 years ago
Read 2 more answers
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