Answer:
area of rectangle : 180 sq ft
area of triangle : 30 sq ft
area of entire composite figure : 210 sq. ft
Step-by-step explanation:
rectangle : 15*12= 180
triangle : 15*4=60 /2 = 30
entire : 180 + 30 = 210
Answer:
The first one: if 2/3 is 12 then 1/3 is 6. 3/3 is 18. SO Jane had 18 stuffed animals before the donation.
The second one: 25 students then 13 are men so 25-13 is 12. 12/25 as a percentage is 48%
Hope this helps!
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
This is an example of an exponential growth problem.
The formula for this is : y = x(1+r)^t
y = final amount
x = starting amount = 36
r = rate = 8% = 0.08
t = time = 11 days
y = 36(1+0.08)^11
y = 36 (1.08)^11
y = 36*2.3316389
y = 83.94 = 84 people