Answer:triangle BCD is similar to triangle ACE (side, angle C, side)
AC = 2 BC
therefore AE = 2 BD
therefore
4x+20 = 2 (3x+5) solve that
Step-by-step explanation:
For this, you just need to add up the team points together. Also remember that the problem says "60 pts or less", not "less than 60 pts". This means teams with 60 pts will count for the question.
Team 1: 
Team 2: 
Team 3: 
Team 4: 
From the math above, we can conclude that 2 teams had won 60 or less.
Answer: The value of y is 3 units.
Step-by-step explanation:
Since we have given that
ABCD is a rectangle
So, their both diagonals are equal .
so, AC= BD
here,
So, According to question,
Hence, the value of y is 3 units.
Answer:
Mean is 6, median 5.5, mode 2
Step-by-step
Answer:
A.) 0.2
B.) 3.2
C.) 0.4
D.) 0.5
Step-by-step explanation:
Arrival rate, λ = 8 per hour
Service rate, μ = 10 boats per hour
1.)
Probability that boat dock will be idle, P0:
P0 = 1 - λ/μ
P0 = 1 - 8/10
P0 = 1 - 0.8
P0 = 0.2
Average number of boats waiting for service :
Lq = λ² ÷ μ(μ - λ)
Lq = 8² ÷ 10(10- 8)
Lq = 64 ÷ 10(2)
Lq = 64 ÷ 20
Lq = 3.2
Average time spent waiting for service, Wq :
Wq = λ ÷ μ(μ - λ)
Wq = 8 ÷ 10(10- 8)
Wq = 8 ÷ 10(2)
Wq = 8 / 20
Wq = 0.4 hour
Wq = 0.4 * 60 = 24 minutes
Average time spent at the dock :
1 ÷ (μ - λ)
1 ÷ (10 - 8)
1 ÷ 2
= 0.5 hour
= 0.5 * 60 = 30 minutes
