To find how the mean is affected by an outlier, we can find the means for both of the data sets. We can find a mean by adding all of the quantities together and then dividing by how many there are. But, instead since we see that the outlier is much larger, we know that it would make the data set's mean much larger, since by adding a number that is much greater than the rest, the dividing will create an even larger number.
Answer:
a.
b. $37.50
Step-by-step explanation:
To find out how much the 5 were paying in total, we can add the bill and the tip. This gives us x + 10. Since there are 5 people and they are splitting the bill equally, the total amount would be divided by 5 to get the amount each person pays: 
. We already know the amount they each paid, as it is given as $9.50. Both expressions represent the same thing, do we can set them equal to each other:
Now, we can solve.
First, we can multiply by 5 on both sides to get:
47.5 = x + 10
And then subtract 10:
x = 37.5
This means the bill before the tip was $37.50
Answer:
£11,904
Step-by-step explanation:
Simple interest = PRT/100 where P = initial investment, R = rate and T = time.
So interest on £9600 = 9600*8*3/ 100
= £2304
So the value after 3 years = 9600 + 2304
= £11,904 (answer)
By the term dilated we mean to say that the dimensions of the new polyhedron is increase to a certain size by that times. For the volume, this dilation scale should be cubed in order to determine the number of times the volume of new figure is larger than the original.
r = (1.5)³
= 3.375
Thus, the volume of the new prism is 3.375 times larger than the volume of the original prism.
Answer:
x≤2
Step-by-step explanation:
