First, you must find the total area of the rectsngle which is 32ft by 16ft or 32 x16=512ft. You then find the area of the triangles which is BxH/2 or 6 x 4 x 1/2 to get 12. You then multiply 12 by 2 aince there are two triangles. You then subtract 24 from 512 to get an area of 488ft^2
G(2) = 2 + 4/3 = 10/3
f(g(x)) = f(g(2)) = (10/3)^2 + 20/3 + 3 = 187/9 = 20 7/9 answer
Answer:
a) 0.19
b) 0.9689
c) ≈ 6 cars
Step-by-step explanation:
Rate at which cars arrive = 12 cars/hour = 1/5 cars/minute
time needed by each car to complete ATM transaction = 6 minutes = 1/6 car/minute
capacity of lane = 10 car
n = 10
<u>a) Calculate the probability of an arriving not using the ATM because the line is full</u>
p ( not using the ATM ) = 0.19
<u>b) probability that a car will not be able to use the ATM machine immediately on arrival</u>
P ( n > 0 ) = 1 - Po
= 1 - 0.0311 = 0.9689
<u>c) Average number of cars in the lane </u>
Lq = 5.74 ≈ 6 cars
attached below is the detailed solution
Function is a process that associates to each element of a set X a one element of a set Y.
Your answer is B.
A-not (double 3);
C-not (double 1);
D - not (double 4)
Answer:
20
Step-by-step explanation:
We're king of shown that it's a parallelogram, so we should assume LM = KN (we can't solve it if we don't know if it's a parallelogram).
LM = KN
3x - 4 = x + 12
2x = 16
x = 8
LM = x + 12 = 8 + 12 = 20
KN = 3x - 4 = 3*8 - 4 = 24 - 4 = 20
checks out