Answer:
In the long run there are 0.02647 machines in the system queue.
Step-by-step explanation:
From the equation of the Finite Population Model of form M/M/1 with a finite source ,the average number of fax machines in the system to be maintained is given as :
[tex]L=\dfrac{\lambda^2}{\mu(\mu-\lambda)}[/tex]
Here
λ is the arrival rate which is the given as[tex]\lambda=\dfrac{Number\ of\ machines}{Time\ between\ Service}\\\lambda=\dfrac{3}{5\ hr}\\\lambda=0.6\ hr^{-1}[/tex]
μ is the service time which is 15 minutes or 4 per hourSo the equation becomes:
[tex]L=\dfrac{\lambda^2}{\mu(\mu-\lambda)}\\L=\dfrac{0.6^2}{4(4-0.6)}\\L=0.02647[/tex]
So in the long run there are 0.02647 machines in the system queue.
In middle school 2/5 of boy makeup 250 percent of kids
Answer:
1
Step-by-step explanation:
250 percent of 2/5 is 1!
ramesh can complete a piece of work in 10 days he worked for 4 days and left. if dinesh complete the remaining part of the work ,how much work was done by dinesh
Answer:
100% of the work was done by him
Why is simple interest simple and when is it used?
Answer:
Simple interest is the cost of using or borrowing money without compound interest or interest on interest. Simple interest works in your favor when you're a borrower because it keeps the overall amount that you pay lower than it would be with compound interest
Step-by-step explanation:
Answer:
Simple Interest is considered "Simple" due to it's straight-forward method; where you add your annual interest rate (%) to your initial principal value, instead of compound which you add your annual interest rate (%) onto your new principal value.
Simple interest is usually used to calculate their first year interest ($).
yesterday there were 36 problems assigned for math homework. karrie did 75 percent of them correctly. how many problems did karrie get right
Answer:
27.
Step-by-step explanation:
75% = 75/100 = 3/4.
Number correct = 3 *36/4
= 3 * 9
= 27.
Hello! Please help me! There is a third option and the third option is "There is no mistake." PLZ! I Mark Brainliest.
Answer:
Step 2
Step-by-step explanation:
from Step 1 4/3 - 1/3 = 3/3 = 1 = q = q + 1/3 - 1/3
Drag each tile to the correct box.
Tickets for all of the described charity raffles cost $2 per ticket. Arrange the raffles in ascending order of their expected values to the player.
Answer:look at attachments
Step-by-step explanation:
Got 100% on Plato
plz help :{
no bad answers plz!!!
It is not periodic. A periodic dataset is a dataset that repeats the same pattern over time.
can someone help me with math I don’t really understand it
1.) Crown pls ;)
A.) The domain is (-∞,∞) or (-infinity, infinity)
B.) The range is (0,∞) or (0, infinity)
C.) The y-intercept is (0,6)
D.) x-axis
E.) Base
2.)
Match each of the English phrases with the correct math translation.
Group of answer choices
The level of the water is 5 percent more than it was last year.
[ Choose ]
The level of the water is 5 percent of last year's water level.
[ Choose ]
The level of the water is 5 percent less than it was last year.
[ Choose ]
Answer:
um.......but where is Math translation ?
Can anyone answer this
Answer:
700
Step-by-step explanation:
guess be like
Is the histogram uniform, symmetric, or skewed?
A. uniform
B. symmetric
C. skewed
Answer:
symmetric
Step-by-step explanation:
i just did this unit
13. Simplify the following:
Answer:
x^8
Step-by-step explanation:
x^3 x x^5
=x3*x5
=(x*x*x) * (x*x*x*x*x)
=x*x*x*x*x*x*x*x
=x8
we believe that 42% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to estimate the proportiton of freshmen who do not visit their counselors regularly. You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required
Answer:
A sample of 1077 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
42% of freshmen do not visit their counselors regularly.
This means that [tex]\pi = 0.42[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
How large of a sample size is required?
A sample size of n is required, and n is found when M = 0.035. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.035 = 2.327\sqrt{\frac{0.42*0.58}{n}}[/tex]
[tex]0.035\sqrt{n} = 2.327\sqrt{0.42*0.58}[/tex]
[tex]\sqrt{n} = \frac{2.327\sqrt{0.42*0.58}}{0.035}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.327\sqrt{0.42*0.58}}{0.035})^2[/tex]
[tex]n = 1076.8[/tex]
Rounding up:
A sample of 1077 is required.
Estimate the rate of change of the graph function over the interval -4
which graph is the correct one ?
Answer:
For the First image the second one and for the Second image the first one
Step-by-step explanation:
What is the greatest common factor of 5 and 13?
Answer:
1
Step-by-step explanation:
List out factors of 13
13: 1,13
List out factors of 5
5: 1,5
GCF = 1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
The GCF is 1.
Step-by-step explanation:
Which of the following indicates the subtraction property of equality when solving the equation 86 – 2 (9x + 4) = 12x + 18?
A. –2(9x + 4) = 12x + 18 – 86
B. 86 – 18x – 8 = 12x + 18
C. 2(9x + 4) = 86 – 12x – 18
D. x = 2
Answer:
D) x = 2
hope it helps
please mark brainliest
help me pleaseee geometry help
Answer:
x = 8
Step-by-step explanation:
The perpendicular bisector tells us that XY is congruent to YZ. Therfore, we can set their equations as equal to eachother and solve for x.
$40,000 is invested at a rate of 5.7% that is compounded semiannually.
How much money is in the account after 17 years?
Answer:
$[tex]$78760.00[/tex]
Step-by-step explanation:
You want to calculate the interest on $40000 at 5.7% interest per year after 17 years.
The formula we'll use for this is the simple interest formula, or:
[tex]I=P*r*t[/tex]
Where:
P is principal amount, $40,000r is the interest rate, 5.7% per year, or in decimal form, [tex]\frac{5.7}{100} =0.057[/tex]t is the time involved, 17 yearsTo find the simple interest we multiply [tex]40000*0.057*17[/tex] to get
The interest rate is $38,760
Usually now, the interest is added onto the principal to figure some new amount after 17 years.
or 40000.00 + 38760.00 = 78760.00
=$78,760
Hey add me ages 11-13 please
What is the perimeter of the rectangle?
-5 inches
-6 inches
-10 inches
-12 inches
(40 points im ps)
Answer:
10 in.
Step-by-step explanation:
GIVEN :-
Length = 3 in.Width = 2 in.TO FIND :-
Perimeter of rectangleSOLUTION :-
Using the formula [tex]\boxed{Perimeter = 2(Length + Width)}[/tex] ,
Perimeter of the rectangle given in question = 2(3 + 2) = 10 in.
Answer: C or 10
Step-by-step explanation: Edge2023
(4x + 1)°
43°
PLEASE SOMEONE ONE HELPPPP!!
Answer:
x= 34
Step-by-step explanation:
(4x + 1 )° + 43° = 180° (due to linear pair)
4x+1+43 = 180
4x + 44 = 180
4x = 180 - 44
4x = 136
x = 136 ÷ 4
therefore, x = 34
The table shows a cricket clubs income in 2016 from a fete , a quiz and membership fees
Express as a ratio the income from the fete to the income from the quiz to the income from membership fees .
Give your ratio in it’s simplest form
Answer: 5:2:10
Income from fete = £250
13 x 5 + 35 = 100
25 x 20 = 500
250:100:500
Then simplify ratio -
25:10:50
5:2:10
The graph shows the function f(x).
Which equation represents f(x)?
C D
O f(x) = -3/7
5
4
Of(x) = -3/X-1
3
2
f(x)
Of(x) = 3/-8-1
1
Of(x) = 3-Y
-10-8-6-4
-2.
2
4
B
8 10
w
Mark this and return
Save and Exit
Next
Submit
Answer:
mathmiticians: impossible
Step-by-step explanation:
some random kid: the answer is approxamatly 47.7
The equation of f(x) is f(x)= −43x−3, the correct option is C.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
f(x) = -3/X-1
Now,
To find the equation of f(x), we need to identify the slope and the y-intercept of the line. The slope is the ratio of the vertical change to the horizontal change between any two points on the line. The y-intercept is the value of f(x) when x = 0.
Looking at the graph, we can see that f(x) passes through the points (-8, 3) and (0, -3). The slope can be calculated as:
slope=run rise= 0−(−8) f(0)−f(−8)=0+8−3−3=8−6=−43
The y-intercept can be found by plugging in x = 0 into the equation f(x) = slope x + y-intercept and solving for y-intercept:
f(0)=−43x0 + y-intercept
−3=y-intercept
Therefore, by the given function the answer will be f(x)=−43x−3.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ7
I need to add words but plz help me im stuck
Answer:
A
Step-by-step explanation:
I think it is A because that measures the height of the triangle
Answer:
Option A shows the height of the triangle
Hope this helps!
Use the number line below to find a fraction that is equivalent to 1/2
Answer:
4/8
Step-by-step explanation:
There are an infinite number of fractions equal to 1/2, but the number line in the question has 8 spaces, and shows 1 divided into 8 pieces. Therefore, the answer to this question is likely 4/8.
(may I ask why exactly this is put as a college level problem?)
Answer:
It should still be the same point.
Step-by-step explanation:
It should still be the same point, since the line did not increase in length, but the numbers of units has, and that does not affect the position of the half of the line.
An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 3.5 ft long with a diameter of 1.8 ft. Suppose oil is drained at a rate of
1.7 n' per minute. If the tank starts completely full, how many minutes will it take to empty the tank?
Use the value 3.14 for at, and round your answer to the nearest minute. Do not round any intermediate computations.
Answer:
5 minutes
Step-by-step explanation:
Volume of cylinder = πr²h
Radius, r = diameter / 2 = 1.8 /2 = 0.9
Volume of cylinder = 3.14 * 0.9² * 3.5
Volume = 8.9019 feet³
Drain rate = 1.7 ft per minute
Volume / drain rate
8.9019 / 1.7
= 5.2364117
= 5 minutes (nearest minute)
please help me please
Answer:
the answer is B, aka 10
Step-by-step explanation:
my calculator
Answer: tbh i think its 10
Step-by-step explanation:
I NEED HELP
PLEASE!!!
Answer:
1:False
2:True
3:True
4:True
What is the location of X' when X is translated 3 units left and 9 units down?
Answer:
-3,-9
Hope this helps
Answer:
(-3,-9)
Step-by-step explanation:
X goes first then Y, since they are both negative they go backwards on the graph