Answers
Answer:
Integers
Step-by-step explanation:
Integers are the set of whole numbers and their opposites.
Related Questions
1 5/8 ÷ (−1 3/5) Please help
Answers
The manager of a grocery store in Decatur currently provides special service to people who still use checks to pay for food. They have a separate pay/bag line for people who insist on waiting for a dollar total to pull out their checkbook and start writing. On average, 30 customers per hour arrive at the checking pay/bag line and they can be modeled with a Poisson distribution. The clerk at this line can handle an average rate of 35 customers per hour and their service can be modeled with exponential distribution.
a. 67%.
b. 75%.
c. 33%.
d. 25%.
Utilization Average time a customer spends in the system
rho = λ/μ w = 1/μ - λ = L/λ
Average # of customers in the system Average time a customer spends in the queue
Ls = λ/μ - λ Wq = λ/μ(μ - λ) = Ls/λ
Average # of customers in queue Probability of n units in the syst
Answers
The correct option is: c. 33%. (The probability of having 36 customers in the system is approximately 0.00183%, which is approximately 0.033%, or 33%).
To find the utilization (ρ) of the clerk at the check/pay line, we can use the formula:
ρ = λ / μ
where:
ρ = Utilization
λ = Arrival rate (rate at which customers arrive at the line)
μ = Service rate (rate at which the clerk can handle customers)
Given in the problem:
Arrival rate (λ) = 30 customers per hour
Service rate (μ) = 35 customers per hour
Now, let's calculate the utilization (ρ):
ρ = 30 / 35 ≈ 0.8571
To convert this to a percentage, we multiply by 100:
ρ ≈ 0.8571 * 100 ≈ 85.71%
Since the utilization represents the percentage of time the clerk is busy, we need to find the percentage of time the clerk is idle (not busy). This can be calculated by subtracting the utilization from 100%:
Idle time = 100% - Utilization
Idle time ≈ 100% - 85.71% ≈ 14.29%
Now, let's find the average time a customer spends in the system (W) using Little's Law:
W = L / λ
where:
W = Average time a customer spends in the system
L = Average number of customers in the system (both in the queue and being served)
λ = Arrival rate (rate at which customers arrive at the line)
Given in the problem:
Arrival rate (λ) = 30 customers per hour
Now, we need to find the average number of customers in the system (L) to calculate the average time.
L = Ls + λ
where:
Ls = Average number of customers in the queue
Ls = λ / (μ - λ)
Given in the problem:
Service rate (μ) = 35 customers per hour
Ls = 30 / (35 - 30) = 30 / 5 = 6 customers
Now, calculate the average number of customers in the system (L):
L = Ls + λ
L = 6 + 30 = 36 customers
Now, calculate the average time a customer spends in the system (W):
W = L / λ
W = 36 / 30 = 1.2 hours per customer
Finally, let's find the probability of having n units in the system (both in the queue and being served). In this case, n would be the number of customers in the system (L):
Probability of having n units in the system = (ρ^n) * (1 - ρ)
Probability of having 36 units in the system (L):
Probability of L customers in the system = (0.8571^36) * (1 - 0.8571) ≈ 0.0000183
The question asks for the percentage, so we multiply by 100 to convert to percentage:
Probability ≈ 0.0000183 * 100 ≈ 0.00183%
Thus, the correct option is: c. 33%. (The probability of having 36 customers in the system is approximately 0.00183%, which is approximately 0.00183% * 18 ≈ 0.033%, or 33%).
To know more about probability, refer here:
https://brainly.com/question/13069268
#SPJ2
HELP ME. NO LINKS!! PLEASE
Answers
Answer:
it's ether d or a
Step-by-step explanation:
i hope this helps you!
Big Sam, an engineer of the Oval Express says: "We blew off a cylinder head an hour after leaving the station and had to continue the trip at three-fifths of the former speed, which brought us in two hours late. If the accident had occurred fifty miles father on, the train would have arrived forty minutes sooner". Based on Sam's description, how long was the run between the two train stations?
A. 150 miles
B. 200 miles
C. 250 miles
D. 300 miles
Answers
{(y/50)+2} hour=y/30 hour gives y=150 miles. Since, the train already had covered 50 miles at full-speed before the cylinder blew, so the run between the stations was 50+150=200 miles.
Answer:
Ig 200 miles
Step-by-step explanation:
I am guessing
How do I do this? It's a modulus question.
Answers
||x|-4|= |x-1|
1st step = separate the equation into 2 possible equations
2nd step = solve the equations
|x|-4= x-1
x= -3/2
Or
|x|-4= - (x-1)
X= 5/2
2)
Do the same
X= -5/2
X= 7/2
NEED NOW PLEASE.....
Answers
Answer:
2+(-6)
Step-by-step explanation:
hope this helps
The speed of a train is 90 km per hour so how much will it be in m /s .
Answers
Answer:
90km/h in m/s will be
90×1000m/3600s ( convert 1km/1h to 1000m/3600sec )
=> 25m/s
we have: 90 km/h = 90 ÷ 3,6 = 25 m/s
Ok done. Thank to me :>
please answer for 30 points
Answers
Answer:
(2,-2)
Step-by-step explanation:
but it says fifteen and the answer is the first one
Answer:
I believe its A. im not 100 % im sorry if its wrong
A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is periodically selected and weighed to determine whether under-filling or over-filling is occurring. If the sample data lead to a conclusion of under-filling or over-filling, the production line will be shut down and adjusted to obtain the proper filling.
a. Formulate the null and alternative hypotheses that will help in deciding whether to shut down and adjust the production line.
b. Comment on the conclusion and the decision when the null hypothesis cannot be rejected.
c. Comment on the conclusion and the decision when the null hypothesis can be rejected.
Answers
Answer:
b
Step-by-step explanation:
mark brainliest pls....
Tara scored 6times as many soccer goals as Leah Leah scored 3 goals.How many more goals did Tara score
Answers
she will score 18 goals
Step-by-step explanation:
6×3=18
log, a Consider the graph of the function f 2- X O -2 2 4 6 8 10 -2 - What are the features of function gif g(t) = -|(r) - 1; oyintercept at (0,-1) X-intercept at (1,0) range of (-1,00) domain of (0, 0) vertical asymptote of g = 0
Answers
Answer:
X-intercept at (1/2 ,0)
domain of (0, infinity)
Vertical asymptote of x = 0
Step-by-step explanation:
Plato I got it right on the test
By definition pH = - log H+], where H*] is the hydrogen concentration in $ ltext(moles per liter]$. If the pH
of a solution is 3, what would the [H+] in the solution (written in scientific notation)?
Answers
A ........................ig
Which of the following trinomials can be factored using the square of the difference?
NO LINKS!!
Answers
Answer:
d) 16x² -56x +49
Step-by-step explanation:
The square of a binomial difference will have the form ...
(ax -b)² = a²x² -2abx +b²
__
The sign of the linear term will be negative, which eliminates choices A and C.
The linear term will be double the product of the roots of the other two terms.
In choice B, the linear term has a factor of 5 that appears nowhere else, so that cannot be a perfect square.
Choice D factors as ...
16x² -56x +49 = (4x -7)² . . . . the square of a difference
20. Write an expression: Alexis has $10 less than twice the amount that David has. If David has
x dollars, write an expression to represent the amount that Alexis has.
Answers
Answer:
2x - 10
Step-by-step explanation:
'x' = amount David has
Alexis = 2x - 10
Mike Jones bought a new split-level home for $150,000 with 20% down. He decided to use Victory Bank for his mortgage. They were offering for 25-year mortgages. Provide Mike with an amortization schedule for two periods. (Use Table 15.1(b)). (Do not round intermediate calculations. Round your answers to the nearest cent.) Payment number Portion to— Balance of loan Interest Principal outstanding 1 2
Answers
Value of Home = $150000
Down payment = 20% of $150000 = $30000
Loan Amount = $150000 - $30000 = $120000
Interest on Loan = 13.3/4% or 13.75%
Duration of Loan = 25Year
Calculation:-
Interest per month = 13.75%/12 =0.0114583333333333 % or 0.011458%
No. of months payment required = 25 years x 12 Months = 300 Months
To Calculated the monthly mortgage payment:-
The formula is M = P*i*(1 + i)^n/(1+i)^n – 1
Where M is monthly payment of Mortgage
P = principal amount of Loan = $120000
i = interest per month = 0.011458%
n=duration of loan in months = 300 months
When we apply the formula:
M = $120000*[0.011458*(1+0.011458)^300/(1+0.011458)^300-1]
= $120000*[0.011458*(1.011458)^300/(1.011458)^300-1]
=$120000*[0.011458*30.50697/30.5067-1]
=$120000*[0.011458*30.50697/29.50697]
=$120000*[0.349559/29.50697]
=$120000*0.011847 =$1421.60
So,Morgage payment Per month $1421.60
Period 1
Interest for 1st period = $120000 x0. 011458 = $1374.96
Pricipal Amount paid = $1421.60 -$1374.96 =$46.64
Balance in Principal amount = $120000-$46.64 =$119953.36
Period 2
Interest for 1st period = $119953.36 x0. 011458 =$1374.43
Pricipal Amount paid = $1421.60 -$1374.43 =$47.17
Balance in Principal amount = $119953.36 - $47.17 =$119906.19
Solve for x in the triangle. Round your answer to the nearest tenth.
Answers
Answer:
x = 13.9
Step-by-step explanation:
15cos(22) = 13.9
Answer:
x = 13.9
Step-by-step explanation:
For the 22° angle, x is the adjacent leg. The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.
cos 22° = adj/hyp
cos 22° = x/15
x = 15 × cos 22°
x = 13.9
Answer: x = 13.9
(x-3)^2=5 ? confused
Answers
[tex](x-3)^2=5\implies \sqrt{(x-3)^2}=\sqrt{5}\implies (x-3)=\sqrt{5}\implies x = \sqrt{5}+3[/tex]
two vectors a and b are inclined at a angle of 60° with each other. its resultant makes angle of 45° with a and value of resultant is 2 sqrt 2 . find the component
Answers
Answer:
[tex]\blue{\rule{100pt}{999999pt}}[/tex] [tex]\blue{\rule{100pt}{999999pt}}[/tex]
Pls help thank you so much
Answers
Two pieces of equipment were purchased for a total of $5000. If one piece cost $410 more than the other, find the price of the less expensive piece of equipment
Answers
Answer: i have never did a math problem like this before because i'm only in the 2nd semester of 7th grade but i will try, i think it is 2090
Step-by-step explanation: 5000 divided by 2 = 2500. then you do 2500-410. 2500-410= 2090. (i hope this will help you and sorry if i did it wrong) :)
In 7 hours, Deandre reads 42 chapters of a book.
What is his rate in chapters per hour?
Answers
Answer:
6 chapters per hour
Step-by-step explanation:
[tex]\frac{42 (chapters)}{7 (hours)} =6[/tex]
Hope this helps
What is the measure of _XYZ?
X
172
y
O A. 17°
V.
O B. 72°
55°
O C. 55°
w
D. 360
Answers
Answer: 35°
Step-by-step explanation: We have to find the measure of angle XYZ. We know, the angle subtended at the center is the average of the measure of arc intercepted by its angle and its vertical angles. Therefore, the value of ∠XYZ = 35°.
I hope this helps!
-Notsonerdy
Can anyone help me with the first question? It’s for my study guide I would really appreciate it
Answers
Is (–3, –2) a solution to the equation y = x + –1?
Answers
Answer:
No.
Step-by-step explanation:
We plug in the coordinates and that gives us -2=-3+-1, that is not true, therefore your answer is no.
Brainliest would be appreciated! :-)
An auditorium has 72 rows of seats. The first row contains 70 seats. As you move to the rear of the auditorium, each row has 2 more seats than the previous row. How many seats are in the 24 th row
Answers
The number of seats on the 24th row is 3220.
The number of chairs in the 24th row is a function of the rate at which the chairs increase and the number of rows. The formula that can be used to determine the number of seats on the 24th row is:
P x [r x (n - 1)]
Where:
P = number of seats on the first row = 72r = rate of growth of the seats = 2n = number of the row = 2470 x [2x (24 - 1)]
70 x (2 x 23)
= 70 x 46
= 3220
A similar question was answered here: : https://brainly.com/question/18760477
Solve the proportion. x/6 = 20/24
Answers
X/6 = 20/24
Cross multiply:
24x = 120
Divide both sides by 24
X = 5
Answer: x = 5
Identify the slope formula.
Answers
Answer:
The second one is the answer.
Step-by-step explanation:
slope= y2-y1
------------
x2-x1
Stacy started a banking account with $150 and is spending $7 per day on lunch. This situation models which type of function?
ОООО
linear function
quadratic function
exponential function
None of these choices are correct.
Answers
Answer:
Linear
Step-by-step explanation:
She is spending the same amount per day, so it is linear
Help me with these worksheets pls
Anything would help BUT PLS ANSWER IT CORRECTLY, If you don't know, just IGNORE THIS AND DON'T JUST COME FOR THE POINTS.
Answers
Answer:
1. yes
2.no
3.yes
4.no
5.yes
State the postulate or theorem you would use to prove each pair of triangles congruent.
a) SSS
b) SAS
c) ASA
d) AAS
e) HL
f) Not possible
Answers
Answer:
c) ASA
Step-by-step explanation:
Angles at either end of the shared line segment are marked congruent, so the triangles can be shown to be congruent using the ASA postulate. (The shared segment is congruent to itself.)