A total of 632 adults and children are at a water park. There are 68 fewer adults than children at the water park. How many chil
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Answer:
Mean of the data would be 6c
Step-by-step explanation:
<u>Rule to Remember:</u> Whenever each term of the data is multiplied by the same number, the new mean is previous mean multiplied by that number.
In this case, original value of mean was c. Each value of the data is multiplied with 6 so a result the new mean would be 6 times the original mean i.e. 6c
Let us consider that original values in the data set are x, y and z. Their mean would be:
If each value of the data is multiplied with 6, the new values would be 6x, 6y and 6z. The mean in this case will be:
We can see from above that the new mean is 6 multiplied to the original mean.
Therefore, the answer to this question is 6c.
The given plane has normal vector
Scaling <em>n</em> by a real number <em>t</em> gives a set of vectors that span an entire line through the origin. Translating this line by adding the vector <2, 1, 1> makes it so that this line passes through the point (2, 1, 1). So this line has equation
This line passes through (2, 1, 1) when <em>t</em> = 0, and the line intersects with the plane when
which corresponds the point (3, -1, 1) (simply plug <em>t</em> = 1 into the coordinates of ).
So the distance between the plane and the point is the distance between the points (2, 1, 1) and (3, -1, 1):