Answer:
The correct option is A) The statement is true.
Step-by-step explanation:
Consider the provided statement.
The Mean is calculated as: sum of values / number of values
Outlier is the value that "lies outside" most of the other values in a set of data. Or the values that are much smaller or larger.
The mean is the measure of central tendency.
Now consider the provided statement.
The statement says mean is measure of central tendency which is true.
It also say that it is affected by an outlier.
This is true because mean is the sum of values divided by the number of values. Also it is most affected by the extreme values .
Thus, the correct option is A) The statement is true.
Answer:
A) 2 + i
Step-by-step explanation:
F(x) = x^3 - 3x^2 + x + 5
0 = x^3 - 3x^2 + x + 5
0 = (x+1)(x^2 - 4x + 5)
Great, now we can separate these two parenthesis expressions because of the Zero Product Property. Start with the simple one:
0 = x + 1
<u>x = -1</u>
We have our first real root! But it doesn't look like that's one of the answer choices, so move on to the other expression:
0 = (x^2 - 4x +5)
This expression can't be factored, so we will use the quadratic formula (which is x = 
).
First solve for the positive part:
= (4 + sqrt(16-20)) / 2
= 4 + sqrt(-4) / 2
= 4 + 2i / 2
<u>= 2 + i</u>
Then for the negative part:
= (4 - sqrt(16-20)) / 2
= 4 - sqrt(-4) / 2
= 4 - 2i / 2
<u>= 2 - i</u>
<u></u>
<u>2 + i</u> is answer choice A! Our other roots, <u>2 - i</u> and <u>-1</u>, aren't answer choices.
Y = 5(x+4)-6
x = 5(y+4)-6
x = 5y +20 - 6
x= 5y +14
5y = x-14
y = (x-14)/5
<span>
when x = 19, y = (19-14)/5 </span>
y = 5/5
<span>y=1
In short, Your Answer would be Option 2
Hope this helps!</span>
A = 360 cm^2
Step-by-step explanation:
Using Pythagorean theorem, the length AB is given by
AB^2 = 17^2 - 8^2 = 225 cm^2
or
AB = 15 cm
Since the ratio BC: CD = 1:2 and BC = 8 cm, this means that CD = 2×(8 cm) = 16 cm
so the length BD is
BD = BC + CD = 8cm + 16 cm = 24 cm
There the area of the rectangle is
A = AB×BD
= 15cm×24cm
= 360 cm^2
