Which measure of central tendency best describes this situation:
The number of apples in 2-lb bags?
Solution: The best measure of central tendency to describe the numbers of apples in 2-lb bags is mean. Because the variable under consideration is numeric and probably we would not see outliers in 2-lb bags.
Mean is the defined as the sum of observations divided by the number of observation. The mean takes into account all the observation of the data. Mean is most preferable when the data is numeric and there are no outliers in the data.
Therefore, in the given situation, where we have number of apples in 2-lb bags, the mean will be best to use.
Step-by-step explanation:
We need to use the binomial theorem/Pascal's triangle here.
(a+b)^5 = (5 choose 0)a^5 + (5 choose 1)a^4*b + (5 choose 2)a^3*b^2 + (5 choose 3)a^2*b^3 + (5 choose 4)a*b^4 + (5 choose 5)b^5.
5 choose 0 = 1
5 choose 1 = 5
5 choose 2 = 10
5 choose 3 = 10
5 choose 4 = 5
5 choose 5 = 1
And 1, 5, 10, 10, 5, 1, is the (5+1) = 6th row of pascal's triangle.
Therefore we get
g^5 + 5g^4*2 + 10g^3*2^2 + 10g^2*2^3 + 5g*2^4 + 2^5
which is
g^4 + 10g^4 + 40g^3 + 80g^2 + 80g + 32
Or, you could do the slow way, by just doing (g+2)(g+2)(g+2)(g+2)(g+2)
Answer:
3:1
You can easily figure out that 60 is a factor of 180 bc 6 is a factor of 18.
So you can simplify it to 18:6
Then divide both sides by 6 and you will get 3:1
Hope this helps ;)
Let
x = first consecutive number
x + 1 = second consecutive number
x + 2 = third consecutive number
The sum of these numbers are 111.
x + x + 1 + x + 2 = 111
3x = 111 - 1 - 2
3x = 108
x = 36
Therefore, the smallest number is 36 because other numbers are 37 and 38.
