Answer: <span>(x, y) → (x + 8, y – 3)
Justification:
</span>1) From the figure you can tell that the original trapezoid ABCD was translated 8 units to the right and 3 units down to yield the trapezoid A'B'C'D'.
2) Translating 8 units to the right means: x → x + 8
3) Translating 3 units down means y → y - 3
4) Therefore, the pair (x,y) is transformed into the pair (x + 8, y - 3); that is the rule (x,y) → (x + 8, y - 3)
So firstly, let's rearrange the data so that it's in ascending order:
{52,55,61,61,76,91,98,105,120}
Now let's first start with the mean. The mean formula is . Using our data, we can solve for the mean as such:
<u>The mean is (rounded to the whole number) 80.</u>
Next, let's find the median. The median is the number, when arranged in ascending order, that is in the middle of the set. If there are two numbers that are in the middle, you would just find the average of the two. In this case:
<u>The median is 76.</u>
Lastly, let's find the mode. The mode is just the number that appears the most in the data set. If all numbers appear only once in the data set, then there is no mode. In this case, since 61 appears more than once, <u>61 is the mode.</u>
Answer:13
Step-by-step explanation:
2(7)-3