Answer:
Domain: all real numbers
Range: all real numbers
Step-by-step explanation:
I'm assuming you mean the function . That's usually written
f(x) = x^(1/5) with the ^ meaning "to the power of..." and the fraction exponent in parentheses so as not to be confused with x^1/5 which could mean x to the first power, divided by 5.
Fractional exponents are used to indicate roots. In this case, x is being raised to the 1/5 power, so this is the fifth root of x, written . The 5 is called the root index.
For odd roots, like this one, the domain is all real numbers--<em>x</em> can be any number at all. So the domain is all real numbers.
The range is also all real numbers. Attached is a graph of this function. It might not look like it, but the graph rises to the right to any height. The larger <em>x</em> gets, the larger the 5th root gets. A similar thing happens on the left--the smaller <em>x</em> gets, the smaller the 5th root gets.
EDIT: see the comment. For the function , the domain is all real numbers. The range is positive real numbers. I'll attach a graph!
Answer:
0.667 ;
0.667 customers ;
0.0166708 hour ;
1.334 customers
Step-by-step explanation:
Given that:
Service time (μ) = 30 seconds ; 2 customers per minute ; 2 * 60 = 120 customers per hour
Arrival time, λ = 80 customers per hour
a.) percentage of time machine is busy (p) ; Utilization factor :
P = λ/ μ = 80 / 120 = 0.667
b.) average number of customers waiting in line Li = p² / 2(1-p)
= 0.667² / 2(1-0.667) = 0.667 customers
c) Average time customer spend in the system = Li/λ + 1/μ
= (0.667 / 80) + (1 / 120)
0.0083375 + 0.0083333
= 0.0166708 hour
= 0.0166708 * 60 = 1.00025 minutes
D) average number in the system ;
Li + p
= 0.667 + 0.667 = 1.334 customers
Answer
$212
Step-by-step explanation:
to get this answer, you must find what 6% of 200 is, which can be calculated using this little equation here
percentage/100 x original price = sales tax
6/100 x 200= 0.06 x 200= 12
this gives you the sales tax, or the amount of money that was added onto the original price, all that's left to do is to add, so original price + sales tax
200+12= $212
Answer:
Your answer would be (36,72)
Step-by-step explanation:
Answer:
4.5 hours
Step-by-step explanation:
If you take both of their alone time
6 and 3
Add them together
Divide both of them By 2
Giving you your answer