Derek has $54 to spend for Christmas presents. He wants to spend an equal amount of his money on his Mom, Dad, and 2 sisters. Ho
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Answer:
2,000 miles
Step-by-step explanation:
We are given:
This can be rewritten as:
This is representative of a unit rate, as we have a in the denominator. To calculate the number of miles in
inches, simply multiply the unit rate by
:
This can rewritten as:
Therefore, there are 2,000 miles in 4 inches.
-
We can check our solution by simplifying the fraction by dividing both
and
by
to see if we achieve the unit rate:
Since this is in fact the unit rate, our solution is correct!
When the outlier is removed The mean would increase.
<u>Step-by-step explanation:</u>
Outliers are the value that lies outside the set of data. i.e. the data doesn't fit in the group.
Removing outliers can affect mean more than median. Because outlier removal sometimes affect the median but in a small percentage or sometimes it will remain the same.
Let us prove, consider 16 values one with 78 and other 15 with values nearly 85, 84 that will give the mean value as 84.
78, 84, 82, 86, 84, 85, 83, 86, 82, 85, 84, 83, 86, 85, 86, 85.
Mean =.
Mean =.
Mean =.
Mean = 84.
Remove 78 from the data set then the data set is 84, 82, 86, 84, 85, 83, 86, 82, 85, 84, 83, 86, 85, 86, 85 and number of data is reduced to 15.
Mean =.
Mean =.
Mean = 84.4.
The mean is increased.
Given:
The expression is:
To find:
The exponential notation for the given expression.
Solution:
We know that
...(i)
We have,
Using (i), the given expression can be written as:
Therefore, the exponential notation of the given expression is .