There is so much controversy about this question on the internet (well not this question exactly but the idea of taking a reciprocal of a discontinuous function).
Some say you can if you make it clear that the point causing the trouble is excluded in some way. Others say that you cannot contemplate the idea. You are creating a meaningless situation with no definition. It really depends on what you have been told about division by 0. There are ways of getting around this, but you are not taking a calculus course and therefore you likely don't have the tools to deal with it. In any event, it does not look to me like you know about limits yet.
Your marker or teacher or tutor can go either way on this problem and be justified in marking you wrong no matter what you do. As instructed I will put what I think should be done in the comment section. And remember, I'm counting noses and going with the majority when I answer this. It's not anything I'm 100% certain of, but neither is anyone else.
Answer:
a) Decrease
b) New mean = 78.43
c) Decrease
Step-by-step explanation:
We are given the following in the question:
Total number of students in class = 28
Average of 27 students = 79
Standard Deviation of 27 students = 6.5
New student's score = 63
a) The new student's score will decrease the average.
b) New mean


New mean =

Thus, the new mean is 78.43
c) Since the new mean decreases, standard deviation for new scores will decrease.
This is because the new value is within the usual values i.e. within two standard deviations of the mean. So, this wont cause a lot of variation as this value will be closer to already available data values. Also number of observations (n) in the denominator is increasing. Based on both these points we can conclude that standard deviation will decrease
Formula for Standard Deviation:
where
are data points,
is the mean and n is the number of observations.
Answer:
4 students were missing
Step-by-step explanation:
A teacher reserved 6 sheets of colored paper for each of her 28
students do a job. As some students were missing, the teacher gave 7
sheets for each student present. How many students were missing?
6*28=168
The options are;
1) AB is bisected by CD
2) CD is bisected by AB
3) AE = 1/2 AB
4) EF = 1/2 ED
5) FD= EB
6) CE + EF = FD
Answer:
Options 1, 3 & 6 are correct
Step-by-step explanation:
We are told that Point E is the midpoint of AB. Thus, any line that passes through point E will bisect AB into two equal parts.
The only line passing through point E is line CD.
Thus, we can say that line AB is bisected by pine CD. - - - (1)
Also, since E is midpoint of Line AB, it means that;
AE = EB
Thus, AE = EB = ½AB - - - (2)
Also, we are told that F is the mid-point of CD.
Thus;
CF = FD
Point E lies between C and F.
Thus;
CE + EF = CF
Since CF =FD
Thus;
CE + EF = FD - - - (3)
Answer:
18
Step-by-step explanation:
Mark is 18 years old.