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:
x = 14
Step-by-step explanation:
-2(x-5)-4=-22
Distribute
-2x +10 -4 = -22
Combine like terms
-2x+6 =-22
Subtract 6 from each side
-2x+6-6 = -22-6
-2x = -28
Divide each side by -2
-2x/-2 = -28/-2
x = 14
Answer:
help me first,help me first
Step-by-step explanation:
The given equation of the line is in slope-intercept form which is generally expressed as y = mx + b. m and b are the slope and y -intercept, respectively. The slope of the given line is 2. The line perpendicular to this has a slope of -1/2. The line has the equation,
y - 1 = (-1/2)(x - -8)
Simplifying the equation gives,
y = (-1/2)x - 3
Thus, the answer is letter A.
You can use tangent trigonometric ratio since that deals with perpendicular and base and since the case is related physically to right triangle, thus it would be useful here.
The height of the considered pole is given by Option B:
<h2>Given that:</h2>
- The person is standing 36 feet away from base of a pole.
- The angle of elevation from base of person to top of pole is 30 degrees.
<h3>To find:</h3>
Height of pole.
<h2>Using tangent ratio to find height of pole:</h2>
Let the height of the pole be x.
In the given figure attached below, we can see that there is a right angled triangle ABC forming.
By using the tangent ratio from angle C, we have:
Thus, the height of the considered pole is given by Option B:
Learn more about trigonometry and tangent ratio here:
brainly.com/question/10375496