Which expression represents the ratio of the difference of the two means to Sidney's mean absolute deviation
1 answer:
Answer:
The ratio of the difference of the two means to Sidney's mean absolute deviation = = 1.2195
Step-by-step explanation:
P.S - The exact question is -
Given - The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below.
Sidney’s Grades Phil’s Grades
Mean 82 78
Mean Absolute Deviation 3.28 3.96
To find - Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?
Proof -
Given that Mean of Sidney Grades = 82
Mean of Phil's Grades = 78
So,
The difference of two means = 82 - 78 = 4
Also,
Given, Mean Absolute Deviation of Sydney = 3.28
Now,
The ratio of the difference of the two means to Sidney's mean absolute deviation = = 1.2195
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Edit:
Part C -- Part 1) Probability of rolling double sixes
There are five copies of "6" in the table (see figure 2 of the attached image) out of 36 total possibilities. How did I get 36? It's the result of multiplying 6*6. This is because there are 6 faces per die. As the table shows, there are 6 rows and 6 columns giving 36 cells total.
So we divide the number of times "6" shows up (5 times) out of the number of total possibilities (36 total) to get: 5/36 = 0.1389 = 13.89%
Answer as a fraction: 5/36
Answer as a decimal: 0.1389
Answer as a percent: 13.89%
The decimal and percent forms are approximate
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Part C -- Part 2) Probability of rolling doubles
To roll doubles, all we need to do is roll the same number twice on each die. In other words, we have "twin values" so to speak. Back in part 1 above, we dealt with just '6's showing up twice. There are other doubles as well
The doubles possibilities are:
1 and 1
2 and 2
3 and 3
4 and 4
5 and 5
6 and 6
Each combo listed above only shows up once. So we have 6 instances where we have doubles (one instance per side of the die). This is out of 36 total
Divide the values mentioned: 6/36 = 1/6 = 0.1667 = 16.67%
Answer as a fraction: 1/6
Answer as a decimal: 0.1667
<span>Answer as a percent: 16.67%</span>
The decimal and percent forms are approximate
