Answer:
See step by step explanations fir answers.
Step-by-step explanation:
Given that;
n=6 , m=2 , z1 is the average of the elements of x , and z2 is the average of the first three elements of x minus the average of fourth through sixth elements of x
So, Let d=n∧28, d′=n∧22.
We have nd=10, nd′=20n
so
n=10d=20d′nwhenced=2d′.
On the other hand, d is a divisor of 28, and above shows d′ is, too. As it is also a divisor of 22, the only possibilities are d′=1, d′=2, corresponding to d=2, d=4.
However, if d=2, n=20, and 20∧28=4, not 2. So the only solution is d=4, and n=40.
Answer:
Step-by-step explanation:
Arrival rate = ∧ = 2.2 customers per hour
Service rate = u = 5 customers per hour
1. Probability that one customer is receiving a haircut and one customer is waiting
P(2 customers)=(∧/u)^2 * (1-∧/u)=(2.2/5)^2 * (1-2.2/5)=0.1936*0.56= 0.108416
2. Probability that one customer is receiving a haircut and two customers are waiting
P(3 customers)= (∧/u)^3 * (1-∧/u)=(2.2/5)^3 * (1-2.2/5)= 0.085184
* 0.56= 0.04770304
3. Probability that more than two customers are waiting
P(more than 3 customers)=1- P(less than 3 customers) =
1- [P(0)+P(1)+P(2)+P(3)]=
= 1- [(1-2.2/5) +2.2/5*(1- 2.2/5) + 0.108416+0.04770304]=1-0.9625=0.0375
3. Probability that more than two customers are waiting =
Answer: I believe the answer is y= mx + b
Answer:
a) y=8
b) x= 9
Step-by-step explanation:
a)
y/16= 2/4
y= 16 * 1/2 (cross multiply)
y= 8
b) x/5 = 36/20
x= 5 * 36/20 (cross multiply)
x= 9
Some institutions use 360 days a year (because then they charge more interest than 365 days).
Assuming the 360 days a year rule, the the daily rate is
6.5% for a year, or 270/360*6.5% for 270 days.
The future amount is then
4000*(1+0.065*270/360)
=$4195 (simple interest).
