7(x + 2) = 6(x + 5)
7x + 14 = 6x + 30 |subtract 14 from both sides
7x = 6x + 16 |subtract 6x from both sides
x = 16
Answer:
abcdefghijklmnopqrstuvwxyz
Step-by-step explanation:
know i know my abcs why wont you sing with me
Answer:
16 ounces
Step-by-step explanation:
First we are told that a container has a capacity of 16 ounces of liquid and therefore 16 ounces of liquid can fill that one container
The 16 ounces liquid from the 16 ounce container is fully emptied in a larger container and fills 87.5% of the larger container therefore the larger container is:
100/87.5×16 ounces= 18.285 ounces in liquid capacity
Therefore to fill the smaller 16 ounce container, the larger container would have to pour 16 ounces of liquid into the smaller container, and would would still have 18.285-16=2.285 ounces if it(the larger container) were filled to the brim(100%)
Let's add up the given scores to get: 97+38+88+75+83 = 381. Then we divide by 5 since there are five scores here. The mean we get is 381/5 = 76.2
So that explains the "76.2" mentioned.
Now we'll replace the "38" with "58" and repeat the same steps as above.
Add: 97+58+88+75+83 = 401
Divide by five: 401/5 = 80.2
The mean is now 80.2; it has increased compared to the previous mean. We can see that if we move any outliers closer to the main cluster, then the mean will be centered more around the main cluster. In the other direction, if we move the outlier further away from the cluster, then the outlier pulls on the mean. Think of a magnetic or gravitational pull.
The smaller outlier 38 made the mean of 76.2 to be smaller than it should be if we focused on the other values only. In short, if your data set has outliers, then the mean may likely not reflect the true center average value of the group. At that point, the median may be the next best thing or you could use a trimmed mean.
