Waiting Line Models:Movies tonight is a typical video and dvd movie rental outlet for home-viewing customers. During the weeknight evening, customers arrive at Movies Tonight with an arrival rate of 1.25 customers per minute. The checkout clerk has a service rate of 2 customers per minute/ Assume Poisson arrivals and exponential service times.a. What is the probability that no customers are in the system?b. What is the average number of customers waiting for service?c. What is the average time a customer waits for service to begin?d. What is the probability that an arriving customer will have to wait for service to begin?e. Do the operating charachteristics indicate that the one-clerk checkout system provides and acceptable level of service?
Answer:
Probability [No customers in system] = 0.375Customers waiting for service = 25/24Average time customer wait = 1.25/1.5May be waitPer customer average time = 1.33 (Approx)Step-by-step explanation:
Given:
Arrival rate λ = 1.25 min
Mean μ = 2
Computation:
(a) Probability [No customers in system]
Probability [No customers in system] = 1-[λ/μ]
Probability [No customers in system] = 1-[1.25/2]
Probability [No customers in system] = 0.375
(b) Customers waiting for service
Customers waiting for service = λ²/ [μ(μ-λ)]
Customers waiting for service = 1.25²/ [2(2-1.25)]
Customers waiting for service = 25/24
(c) Average time customer wait
Average time customer wait = λ / [μ(μ-λ)]
Average time customer wait = 1.25/ [2(2-1.25)]
Average time customer wait = 1.25/1.5
(d) May be wait because Customers waiting for service = 25/24
(e) Per customer average time
Per customer average time = 1/(μ-λ)
Per customer average time = 1/(2-1.25)
Per customer average time = 1.33 (Approx)
On a horizontal number line, -45 is located to the left of -35
Answer:
true
Step-by-step explanation:
on a numberline, -45 is smaller than -32, so therefore -45 is to the left.
An inequality that represents the statement "on a horizontal number line, -45 is located to the left of -35" is -45 < -35.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The inequality uses the less than symbol, <, to indicate that one number is to the left of the other on the number line.
The number on the left side of the inequality is -45, and the number on the right side is -35. This inequality is true because -45 is indeed located to the left of -35 on the number line.
Thus, the inequality that expresses the phrase "on a horizontal number line, -45 is to the left of -35" is -45 < -35.
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The question seems to be incomplete the correct question would be:
On a horizontal number line, -45 is located to the left of -35.
Find an inequality that represents this statement.
A polynomial is given below.
3x6 + 2x4 – x3 + 7
Which statement must be true about this polynomial?
Answer:
Step-by-step explanation:
Well since the polynomial is of not an even or odd sequence like the polynomial in the question is
[tex]3x^6+2x^4-x^3+7\\[/tex]
like the degree 6 is even the degree 4 is even but the degree 3 is odd so since the sequence breaks the polynomial above has no real x-intercepts meaning it has complex roots.
Suppose that an individual has a body fat percentage of 12.7% and weighs 132 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.
Answer:
just go with your heart
What is incorrect About this proof? What needs to be done to correct it?why ?
I need help with my math homework
Answer:
1/3
Step-by-step explanation:
Answer:
m=3
Step-by-step explanation:
m= 7-1= 6
5-3= 2
then you simplify
3
m= 1 which also equals 3
I am not very good at explaining on this but i hope this helps :)
What is the degree of the polynomial 2x6+5x3−x2+100?
Answer: 25x+10?
Step-by-step explanation:
Answer:
uikjhukcopllpp
Step-by-step explanation:
pp98ii9ijjhhhjigctuicico8
What does the arrow represent?
Bouncing a Ball Height ha 0 Time
a. the ball is hitting the ground for the first time
b. the ball has hit the ground for the third time and is rising
c. the ball has reaches the maximum height of the first bounce
d. the ball has been thrown and is traveling towards the ground
Answer:
b number is the correct answer of the question
Answer:its a
a
Step-by-step explanation:
The distribution of sample means for monthly employee income at a particular company for samples of 70 employees is normal, with a mean of $5971 and a standard deviation of $219 . You take a random sample of 70 employees from the company and find that their mean monthly income is $5 comma 751 . How many standard deviations is the sample mean from the mean of the distribution of sample means? Round to one decimal place.
Answer:
The value is [tex]z = -8.4[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 70
The mean is [tex]\mu = \$ 5971[/tex]
The standard deviation is [tex]\sigma = \$ 219[/tex]
The sample mean is [tex]\= x = \$ 5751[/tex]
Generally the number of standard deviations the sample mean is from the mean of the distribution is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{ 5751 -5971 }{ \frac{219 }{\sqrt{ 70 } } }[/tex]
=> [tex]z = \frac{ 5751 -5971 }{ \frac{219 }{\sqrt{ 70 } } }[/tex]
=> [tex]z = -8.4[/tex]
makayla is painting her house.each room needs 1/2 gallon of paint if she has three gallons of paint,how many rooms can she paint?
Answer:
6 rooms.
Step-by-step explanation:
3 x 2 = 6
it takes 2 halves to make a whole so 3 x 2 = 6
Fraction w/4= 12
What is the value of w
Answer:
48
Step-by-step explanation:
12*4=w=48
One way to determine the surface area of this cylinder is to -
Answer:
Option (A)
Step-by-step explanation:
Surface area of an object = Area of all the surfaces of the object
So, the surface area of the cylinder = Area of the two circular bases + Rectangular area around the surface of the cylinder
= πr²+ πr² + (2πr)h
= 2πr(r + h)
Therefore, Option (A) will be the correct option.
Answer:
A
Step-by-step explanation:
I did the quiz
helppp with the photo attached
Answer:
A
Step-by-step explanation:
PLEASE HELP DUE IN 5 minutes
James earns $12 per hour for working at an appliance store. He also earns a weekly bonus of $36 if he makes a total of 7 or more sales during a given week Last week , James made 7 sales and earned a total of $300 for x hours of working at the appliance store . How many hours did James work?
Answer:
22 hours
Step-by-step explanation:
12 per hour.
$36 = 7 sales.
(300-36)/12=22
So 22 hours.
Hope this helps plz hit that crown !!!
James worked for 20 hours.
what is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given here, James earns $12 per hour and weekly bonus of $36 if he makes a total of 7 or more sales during a given week and earned a total of $300 . Let the time that James worked for be x , then we can form an equation;
36 + 12x = 300
⇒ 12x = 240
⇒ x = 20 hours
Hence, James worked for 20 hours.
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PLEASE HELP!!! It’s about exponential functions. I will mark brainliest!!!!!!
what would the value (s) for n will make the expression true |n| = 3.5
Answer:
3.5
Step-by-step explanation:
3.5
because it is
okay
Line M contains points (4,3) and (1,2). Write a possible equation of line K that is
perpendicular to line M.
caterer uses this table to help customers estimate how much it costs to provide and serve food at their events for 5 to 25 people
Answer:
For every person added, the total cost increases by $6.50.
Step-by-step explanation:
Fred, Norman, and Dave own a total of 128 comic books. If Dave owns 44 of them, what is the average
(arithmetic mean) number of comic books owned by Fred and Norman?
Answer:
[tex]Mean = 42[/tex]
Step-by-step explanation:
Given
Represent Fred with F; Norman with N and Dave with D.
[tex]Total = 128[/tex]
[tex]D = 44[/tex]
Required
Determine the arithmetic mean of F and N
First, we have that:
[tex]F + N + D = 128[/tex]
Substitute 44 for D
[tex]F + N + 44 = 128[/tex]
Subtract 44 from both sides
[tex]F + N + 44 - 44 = 128 - 44[/tex]
[tex]F + N = 84[/tex]
Arithmetic mean of F and N is calculated as follows:
[tex]Mean = \frac{F + N}{2}[/tex]
[tex]Mean = \frac{84}{2}[/tex]
[tex]Mean = 42[/tex]
1
A. (f = g)(x) = 2 - 4
.
true or false
Answer:
=-2
Step-by-step explanation:
x=-(4-2)
Answer:
false
hope this helps
Find the distance between the two points in simplest radical form.
(-2,-1) and (-8,7)
Answer:
The distance in radical form is √100 (which is equal to 10units
Step-by-step explanation:
Distance=√(-8--2)²+(7--1)²
D=√(-6)²+(8)²
D=√36+64
D=√100
D=10units
Leonel has $25.00 to spend. He decided to buy a hat for $18.75 and spend the rest on wristbands. If each wristband costs $4.75, how many wristbands can Leonel buy?
40x + 100≈/10
sorry if that equation is misunderstood...its a fraction
Answer:
now me good boy
x=4
Write the equation of the line (in slope-intercept form) where: slope = 1/4 and y-intercept = (0, -5)
Answer:
y=1/4x-5
Step-by-step explanation:
The formula is y=mx+b
m=slope, slope= 1/4
b= y-intercept, which equals -5.
Since there is a negative before the 5, instead of doing y=mx+b, you have to do y=mx-b.
The final formula would look like y=1/4x-5
Please help me answer this :)!
I will give braisnlt
Answer: I don't see anything
Step-by-step explanation:
Well happy New Year everyone. I've been thinking about the upcoming year "2021" and found something interesting. Reduced to its prime factors it becomes 43*47. Yes, it resolves into 2 CONSECUTIVE 2 digit prime numbers, which does NOT happen that often. The last time this occurred was in 1927 (41 * 47). However these are NOT consecutive prime numbers. (There's another prime number between 41 and 47). If we go back to 1763 (41 * 43), it resolves into two 2-digit CONSECUTIVE primes AND they are TWIN primes (prime numbers with a difference of 2).
And now, here's the question: Can anyone find some interesting factorizations of upcoming years? For example, the year 2033 = 19*107 and the year 2041 = 13*157. In each case the factors are less than 10. Obviously, this is not THE most vital question, so don't spend too much time on it. (Although I've been told that a solution will finally bring about World Peace!!! ) LOL
Answer:
As 2021 and 1927 does not have any product of primes
HCF and LCM of 2020 and 1926 is shown below
Step-by-step explanation:
2020 = 2^2 × 5 × 101
1926 = 2 x 3^2 x 107
2 is the HCF
2 x 2 x 3 x 3 x 5 x 101 x 107 = 1945260
1945260 is the LCM
2022 and 1928 both have product of primes and their HCF and LCM is
1949208 is the LCF and 2 is the HCF
1949208 - 1945260 = 3948
3948/2 = 1974
2022-1928 = 94
2020 - 1926 = 94
1974/94 = 21
and brings us back to our year again.
Happy New Year to you.
Which table shows exponential decay?
4. Write as a fraction in simplest form: 38 minutes to 12 minutes
Answer:
3 ⅙
Step-by-step explanation:
38 and 12’s common factor would be 2. Now the fraction is 19/6.
How many 6’s can fit into 19? 3. With a remainder of 1 we have:
3 ⅙
IM DOING THIS IN CLASS HELP! Yesterday, there was 4 inches of snow on the ground. It snowed overnight and now there is 6 inches of snow on the ground. What integer represents the amount of snow on the ground now
Answer:
6
Step-by-step explanation:
6 inches of snow is an amount above ground, so it is represented by a positive integer.
Answer: 6
Answer:
Firstly, it was 4 inches
After snowing it becomes (4+6)= 10 inches;
From ground it is 10 inches of snow
So, 10 inches is the right answer.
A scooter travels 30 feet in 2 seconds at a constant speed.
Answer:
The scooter is going faster.
Step-by-step explanation:
30/2 = 15ft/s
55/4 = 13.75ft/s
(the question was cut off so I used the information I had) Hope this helped!