Answer:
The installations at the Maumee branch would you expect to take more than 30 minutes is 10.
Step-by-step explanation:
Consider the provided information.
Let x is the installations at the Maumee branch take more than 30 minutes.
The work standards department at corporate headquarters recently conducted a study and found that 20% of the mufflers were not installed in 30 minutes or less.
Therefore, π=0.20
The Maumee branch installed 50 mufflers last month.
Thus, n=50
Mean of the distribution: μ=nπ
Substitute the respective values in the above formula.
μ=(50)(0.20)
μ=10
Hence, the installations at the Maumee branch would you expect to take more than 30 minutes is 10.
There are 2001 items in that set.
So n(A) = 2001
We can individually count them all out, which is very slow and tedious, or we can use the formula
n-m+1
where,
m = starting value
n = ending value
In this case,
m = 0
n = 2000
So,
n-m+1 = 2000-0+1 = 2001
This formula only works if we increase the number by 1 each time (eg: 6, 7, 8, etc)
Tough call.
You may have to use Newton's Method or something like that.
Graph y=2^x and then graph n/x on the same set of axes. You may have to assign some arbitrary value to n to make this work. From the graph you can read off the approximate coordinates of the point of intersection.
Answer:
f(g(x)) = 15x + 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
- Functions
- Function Notation
- Composite Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 5x + 7
g(x) = 3x - 1
<u>Step 2: Find</u>
- Substitute in functions: f(g(x)) = 5(3x - 1) + 7
- [Distributive Property] Distribute 5: f(g(x)) = 15x - 5 + 7
- [Addition] Combine like terms: f(g(x)) = 15x + 2
Answer:
112
Step-by-step explanation:
180 - 40 - 28 = 112
