We have to calculate the mean and median of the vowels in English alphabet.
The vowels are a,e,i,o,u.
According to the english alphabets,
a=1 , e=5, i=9, o=15 and u=21
So the data is:
1,5,9,15,21.
Mean = sum of all observations divided by the total number of observations
Mean =
Mean =
So, mean = 10.2
Now we will calculate median for the data
1, 5, 9, 15 , 21
Since total number of terms = 5(Odd)
Median = observation
Median = observation
Median = 3rd observation.
So, median is 9.
Answer:
The number of bottles recycle by Alice is 21.
Step-by-step explanation:
Given:
Mike and Alice recycled 147 bottles altogether. Mike recycled 6 times as many bottles as Alice.
Now, to find the quantity of bottles Alice recycle.
Let the number of bottles recycle by Alice = .
And the number of bottles recycled by Mike = .
So, according to question:
⇒
<em>Dividing both sides by 7 we get:</em>
⇒.
Therefore, the number of bottles recycle by Alice is 21.
Answer:
Problem 2):
which agrees with answer C listed.
Problem 3) : D = (-3, 6] and R = [-5, 7]
which agrees with answer D listed
Step-by-step explanation:
Problem 2)
The Domain is the set of real numbers in which the function (given by a graph in this case) is defined. We see from the graph that the line is defined for all x values between 0 and 240. Such set, expressed in "set builder notation" is:
Problem 3)
notice that the function contains information on the end points to specify which end-point should be included and which one should not. The one on the left (for x = -3 is an open dot, indicating that it should not be included in the function's definition, therefor the Domain starts at values of x strictly larger than -3. So we use the "parenthesis" delimiter in the interval notation for this end-point. On the other hand, the end point on the right is a solid dot, indicating that it should be included in the function's definition, then we use the "square bracket notation for that end-point when writing the Domain set in interval notation:
Domain = (-3, 6]
For the Range (the set of all those y-values connected to points in the Domain) we use the interval notation form:
Range = [-5, 7]
since there minimum y-value observed for the function is at -5 , and the maximum is at 7, with a continuum in between.