It would be 78 degrees because the angle opposite of it is the vertical angle, and vertical angles are congruent to each other.
Answer:
1y 2n 3n
Step-by-step explanation:
Answer:
Lamda= 4 students/min, µ= 5 students/min
P= Lamda/µ= 4/5= 0.8
a.) Probability that system is empty= P0= 1-P= 1-0.8= 0.2
b.) Probability of more than 2 students in the system= ∑(n=3 to inf) P^n*P0= (1-P)*(1/(1-P) – (1-P) –(1-P)*P –(1-P)*P^2)= (.2)*(5- - .2 - (.8)*.2 – (.2)*.8^2))= 0.848
Probability of more than 3 students in the system= ∑(n=4 to inf) P^n*P0= (1-P)*(1/(1-P) – (1-P) –(1-P)*P –(1-P)*P^2 – (1-P)*P^3)= 0.768
c.) W(q)= Waiting time in Queue= lamda/µ(µ- lamda)= 4/5(1)= 0.8 minutes
d.) L(q)= lamda*W(q)= 4*.8= 3.2 students
e.) L(System)= lamda/(µ-lamda)= 4 students.
f.) If another server with same efficiency as the 1st one is added, then µ= 6 sec/student= 10 students/min.
P= 4/10= 0.4
Probability that system is empty= P0= 1-.4= 0.6
W(q)= 4/10(10-4)= 0.0667 minutes
L(q)= Lamda*W(q)= 4*.0667=0.2668
L(system)= Lamda/(µ-lamda)= 4/6= .667
Step-by-step explanation:
Complete question :
How many cubic blocks of side length of 17 inch would it take to fill a rectangular prism with a length width and height of 3/7 inch 1/7 inch and 3/7 inch
Answer:
9 cubic blocks
Step-by-step explanation:
The volume of a rectangular prism is given as :
V = Length * width * height
V = 3/7 * 1/7 * 3/7 = 9 / 343 in³
The volume of block clube:
Take the cube of the side length :
(1/7)^3 = 1 / 343 in³
Number of cubic blocks required :
Volume of prism / volume of cube
9 / 343 ÷ 1 / 343
9 / 343 * 343 /1 = 9
Hence, 9 cubic cubes are needed to fill the rectangular prism
