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.
Based on the expression given, when it is solved, as a fraction in its simplest form it would be 558/1.
<h3>What is the fraction in its simplest form?</h3>
The expression, 62(9) can be rewritten as:
= 62 x 9
This is because the brackets denote that the number within the brackets should be multiplied by the number outside the bracket.
The solution is:
= 62 x 9
= 558
As this is an integer, it means that it has a denominator of 1. The fraction in its simplest form is therefore:
= 558 / 1
Find out more on fractions in their simplest forms at brainly.com/question/18069
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Most quadratic functions(which is what you have there, to a degree of 2) are solved using factoring and the zero product law. If you can not factor then you have to use the quadratic formula or graph it. However this one can be factored.
It's pretty simple to just factor it by inspection but I use the chart method, if you know decomposition that works as well.
Factoring gives us,
Then you set each factor to 0 and solve for x,
And the second one,
The solutions to this equation are
x = -1/2, 3
Hundredth
The number will be 3.250.09
Other examples:
12 = 10
1.09 = 1.10
899.765=899.77
Answer:
(0,-1)
Step-by-step explanation:
You look at where the line intercepts the y axis, which is at (0,-1)
