Explanation is in a file
Find the mean, the median and the mode of 12, 13, 9, 8, 8, 7, 6, 8, 10
2 answers:
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Answer:
59.98
Step-by-step explanation:
To find the average of a set of numbers, we sum them all together and divide them by the size of the set. Here, we start out with 11 IQ scores. We don't know what they are, but we can still set up an equation with the information we do have. Let's call the sum of those 11 score <em>s</em>. The average must be s/11, which we know is 101.5. With that, we can set up and solve and equation for <em>s</em>:
Let's call the score of the reality TV star <em>r</em>. If we add their score to the set, we now have <em>12</em> scores. The sum of those scores is gonna be the sum of the previous scores, 1116.5, plus the reality TV star's score, r. To find the average, we divide the sum by 12. Finally, we're told that this average is exactly 98.04. Putting all of this into an equation gives us
We can now solve for r algebraically, first by multiplying both sides by 12:
And then subtracting 1116.5 from both sides:
Answer:
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Working together, Sam and Charlie can change all light bulbs in the office building in 3 hours. It would have taken Charlie 8 hours to do the job alone. Which equation can be be used to solve for the rate 'r', for Sam to change all the light bulbs in the office building by himself.
Let Sam can change the bulbs in the office alone in 'r' hours
Per hour work done by Sam alone =
Let Sam takes he time to change the same bulbs in the office alone = 8 hours
Per hour work done by Sam =
Since, Sam and Charlie complete the work together in time = 3 hours
Therefore, per hour work done by both =
Equation for per work done by both will be,
Per hour work done by both = Per hour work done by Sam alone + Per hour work done by Charlie
Therefore, equation for the rate 'r' will be,