Answer:
f(-x) = x² - 9x - 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
f(x) = x² + 9x - 6
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em> [Function f(x)]: f(-x) = (-x)² + 9(-x) - 6
- [Order of Operations] Simplify: f(-x) = x² - 9x - 6
Answer:
a. 0.1917
b. 0.0914
d. 0.1580
Step-by-step explanation:
(a)
Mean, 
= 0.375 -0.1833 = 0.1917
(b) sample prop ? Show your work and label each value.
Mean, = = 0.1917
Standard deviation = 
Standard deviation = 
Standard deviation = 0.0914
(c)
Normality condition:
np ≥ 10 and n(1-p) ≥ 10
Both the samples satisfy the normality condition.
(d)
The probability is obtained by calculating the z score,
= 1.0029
P(z > 1.0029) = 1 - P(z ≤ 1.0029)
The probability is obtained from the z distribution table,
P(Z > 1.0029) = 1 - 0.8420 = 0.1580
From the picture, we have the graph of the linear parent function f(x) = x.
We have the following statements as descriptions of the function:
A. The function is negative when x < 0.
From the graph, we see that the function takes negative values for x < 0. This statement is true.
B. The function is negative when x < 0 and also when x > 0.
The first part of this statement is true, but the second is not because that we see that the function takes positives values for x > 0. So this statement is false.
C. The function is never negative.
If we see the graph, the function is negative when x < 0. So this statement is false.
D. The function is negative when x > 0.
Again, seeing the graph we note that the function takes positive values for x > 0. So this statement is false.
So the only statement that it is true, is option A.
C. There is one outlier, indicating an abnormally large number of books were rented out on that day.
The data shows numbers ranging from 10 to 19 which is normal. However there is a significantly larger number, 99, which is the outlier.
