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:
I think the first 4 are right
5-8
sorry I cant read it it it is too small so I will explain
5.1 x 10^-2 would be 0.051 just move the decimal left x spaces where x is the exponent
9
4.4 x 10^3
10
7.5 x 10^4
11
6.99 x 10^7
12
5.75 x 10^9
13
8.4 x 10^-2
14
9.9 x 10^-3
15
5.15 x 10^-7
16
3.07 x 10^-5
17
you got it right
18
you got it right
19
Singapore
Luxembourg
Australia
Egypt
Brazil
20
3,670,000,000
21
6.2 x 10^-6
22
125,000,000,000
1.25 x 10^11
Step-by-step explanation:
i hope I helped
You have the right idea that things need to get multiplied.
What should be done is that the entire fraction needs to get multipled by the lowest common denominator of both denominators.
Let's look at the complex numerator. Its denominators are 5 and x + 6. Nothing is common with these, so both pieces are needed.
The complex denominator has x - 3 as its denominator. With nothing in common between it and the complex numerator, that piece is needed.
So we multiply the entire complex fraction by (5)(x + 6)(x -3).
Numerator: 
= (x+6)(x-3) - (5)(5)(x-3)
= (x+6)(x-3) - 25(x-3)
= (x-3)(x + 6 - 25) <--- by group factoring the common x - 3
= (x -3)(x - 19)
Denominator:

Now we put the pieces together.
Our fraction simplies to (x - 3) (x - 19) / 125 (x + 6)