Answer:
The two triangles are related by A - S - A test of similarity , so the triangles are congruent.
A new pop-up restaurant serving high-end street tacos just opened and is expected to have high demand based on the chef's prior restaurant experience. The pop-up restaurant has only one window where customers order and receive their food. It takes an average of 5 minutes to serve a customer. There is no seating available so the customer exits the system after receiving their order.
Due to the creative marketing strategy of "hiding" the restaurant location, only 10 customers arrive per hour. There is no specific pattern to the distribution of time between arrivals or service times, but from historical data from prior pop-ups, the coefficient of variation for time between arrivals is 2.58 and service time is 0.75.
1. What type of queuing model is this process?
a. single-channel, multi-phase.
b. multi-channel, multi-phase.
c. single-channel, single-phase.
d. multi-channel, single-phase.
2. How many customers would you expect to find waiting in line?
a. 3.
b. 18.
c. 10.
d. 0.
e. 7.
f. 15.
g. 12.
3. For new customers, how long do they have to wait in total before they leave with their food?
a. 45 minutes.
b. 20 minutes.
c. 50 minutes.
d. 95 minutes.
e. 15 minutes.
f. 100 minutes.
g. 40 minutes.
h. 10 minutes.
i. 0 minutes.
j. 90 minutes.
Answer:
1. c
2. f
3. d
Step-by-step explanation:
This type of queuing model is an example of "single-channel, single-phase" process.
However, from the information given:
The inter-arrival rate = 10 customers per hour
Arrival time = 6 minutes
Service time = 5 minutes
∴
utilization = service time/arrival time
= 5/6
Time on queue [tex]T_q = p \times \dfrac{utilization }{1 - utilization} \times \dfrac{Cv_a^2 -Cv_b^2}{2}[/tex]
[tex]T_q = 5 \times \dfrac{5/6 }{1 -5/6} \times \dfrac{(2.58^2 -0.75^2)}{2}[/tex]
[tex]T_q = 25 \times 3.60945[/tex]
[tex]T_q = 90.24 \\ \\ T_q \simeq 90 \ mins[/tex]
Thus, customer waiting in the queue line is;
[tex]= \dfrac{T_q}{q} \\ \\ = \dfrac{90}{6} \\ \\ \mathbf{=15}[/tex]
Thus, new customers will have to wait in a total time of;
= waiting time + service time
= 90 + 5
= 95 minutes.
The
of a plane is 2.
Answer:
The seat no of a plane is 2
What is the slope of y = 4 - 2x?
Answer:
The slope is -2
Step-by-step explanation:
Rewrite in slope-intercept form.
The slope-intercept form is y = mx + b, where m
is the slope and b is the y-intercept.
[tex]y = mx + b[/tex]
Reorder 4 and -2x.
[tex]y = - 2x + 4[/tex]
Using the slope-intercept form, the slope is −2.
[tex]m = - 2[/tex]
Hence, the slope is -2.
The equation y = 4- 2x has a slope of -2.
The pitch of a direct equation is the measure of the term containing the independent variable( in this case," x").
In the equation y = 4- 2x, the measure of "x" is-2. thus, the pitch of the equation is-2.
We know equation is in slope-intercept form (y = mx + b), where "m" represents the slope.
The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).
In this case, for every unit increase in x, the value of y diminishments by 2 units. This indicates a downcast pitch.
In summary, the equation y = 4- 2x has a slope of -2.
Learn more about Slope here:
https://brainly.com/question/3605446
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The length of a rectangle is twice its width.
If the perimeter of the rectangle is 60 m, find its length and width.
Answer:
120 m
Step-by-step explanation:
.
Answer:
length = 20m
width = 10m
Step-by-step explanation:
perimeter = 2 (length + width)
length = 2 * width = 2w
perimeter = 2 (2w +w)
perimeter = 2(3w)
60m = 6w
(divide both sides by 6)
60/6 = w
width = 10m
length = 2w
so length = 2 * 10 = 20m
Please help me !!!!!!!!!!!!!!!!!!!
Answer:
5) arccos A = 28°
6) arcsin A = 53°
Step-by-step explanation:
5) cos A = 30/34
6) sin A = 32/40
5)
For a right triangle, the cosine of an angle is the ratio between the length of the adjacent side and the length of the hypotenuse (the hypotenuse is the longest side of the triangle).
In this case,
cos(A) = adjacent / hypotenuse = 30 / 34 = 15/17
6)
For a right triangle, the cosine of an angle is the ratio between the length of the opposite side and the length of the hypotenuse.
In this case,
sin(A) = opposite / hypotenuse = 32 / 40 = 4/5
A way to remember sine, cosine, and tangent is SOHCAHTOA, where
SOH is Sine = Opposite / Hypotenuse
CAH is Cosine = Adjacent / Hypotenuse
TOA is Tangent = Opposite / Adjacent
4.B.83
How much must be deposited today into the following account in order to have get 35,000 in 5 Years
An account with monthly compounding and an APR of 4%
should be deposited today.
(Do not round until the final answer. Then round to the nearest cent as needed)
Answer:
$ 28,665.11 must be deposited today into the account.
Step-by-step explanation:
Given that there is an account with monthly compounding and an APR of 4%, to determine how much must be deposited today into the following account in order to have $ 35,000 in 5 years, the following calculation must be performed:
X x (1 + 4/12) ^ 5x12 = 35,000
X x (1 + 0.333) ^ 60 = 35,000
X x (1,333) ^ 60 = 35,000
X x 1.220999 = 35,000
X = 35,000 / 1.22099
X = 28,665.11
Thus, $ 28,665.11 must be deposited today into the account.
Johnny buys a desk on sale for $300.00. If the regular price
is $450.00, what is the percent of discount?
Answer: 33.33%
This MAY be wrong, but when I calculated it, the total discount came out to 149.985, which I think can be rounded up to 150
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/4 of the drink is apple juice and 2/5 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form.
Answer:
7/20
Step-by-step explanation:
You have to add 1/4 and 2/5 which gets you 13/20. And since the glass would be full, 20/20 is full, so then you have to subtract 20/20 from 13/20 which gives you 7/20.
find the surface area of this cylinder. geometry hw help
Answer:
301.59 units or 301.6 after rounding
Find the approximate length of the bolded arc.
Answer:
Step-by-step explanation:
how does 3.1416 come
Answer:
It is the value of pie(22/7)
Connie is packing for a trip. She has 17 pairs of jeans. If she has room to pack 6 pairs how many ways can she choose which jeans to take
Answer:12,376
Step-by-step explanation:
Given
Connie has 17 Pairs of jeans
She has to choose 6 pairs out of 17
We know, no of ways to pick r items out of n items is [tex]^nC_r[/tex]
[tex]\therefore \text{No of ways is =}^{17}C_6\\\\\Rightarrow \dfrac{17!}{(17-6)!6!}=12,376\ \text{ways}[/tex]
Is the solution greater than, less than, or equal to 29?
4(5 + 6) - 15
Answer:
Step-by-step explanation:
4(5 +6) - 15
4(11) - 15
= 44 - 15
= 25
The solution is equal to 29
Answer:
[tex]4(5 + 6) - 15 \\ = 4 \times 11 - 15 \\ = 44 - 15 \\ = 29 \\ 29 = 29[/tex]
It's Equal to 29
i need all of these
please help im stuck on this
Pls help me!!!!!! I’m failing and I need to pass ): pls
Answer:
y≥1 is the answer :)
what is the equation of the following direct variation y=2x, y=1/2x, y=-1/2x, y=-2x
Answer:
The answer would be y=-2x
Answer:
Equation y =2x represent the direct variation .
Step-by-step explanation:
Given : Equations y = 2x , y = x + 4 , y = 1/2x , y = 3/x .
To find : Which equation represents a direct variation.
Solution : We have given that equations
Direct variation : The statement "y varies directly as x," mean y and x always have the same ratio: k = .
Where k is constant of variation ,
We can write it as y = kx .
We can see that in equation y = 2x is the same as the above equation
On comparing k = 2.
Therefore, Equation y =2x represent the direct variation .
Hope it helps pls give me brainliest if it is. Thanks xx Happy Easter!
x^2+ 3 has a value of 28. What term in the sequence has a value of 28?
Answer:
5th term
Step-by-step explanation:
x^2 +3 = 28
Subtract 3 from each side
x^2+3-3 =28-3
x^2 = 25
Take the square root of each side
sqrt(x^2) = sqrt(25)
x = 5
(x could be -5, but there are not usually negative terms in a sequence)
Answer:
The value of X1 is -5, X2 is +5.
READ CAREFULLY! - 50 students were randomly sampled and asked if they preferred Coke or Pepsi. 12 preferred Pepsi. If there are 779 students in the school, you would expect ______ students in the entire school to prefer Coke. Enter an answer rounded to the nearest whole number.
Answer:12/50 * x/588
Step-by-step explanation:= 141.12
588 - 141.12 = 446.88
I would expect 447 students to prefer Coke.
Hope this helps
A professor of statistics wants to test that the average amount of money a typical college student spends per day during spring break is over $70. Based upon previous research, the population standard deviation is estimated to be $17.32. The professor surveys 35 students and finds that the mean spending is $72.43. How would you calculate the p-value for this test
Answer it is 456y5445t6y5432
Step-by-step explanation:
ww
2x +1=x+3 plzzz give the answer
Answer:
x=2
Step-by-step explanation:
Because you Subtract 1 from both sides of the equation
and simplify which will give you 2x=x+2 then subtract Subtract x from both sides of the equation then simplify and you will get your answer x=2
what is the answer to 1200 x 4500 = ?
Answer:
5400000
Step-by-step explanation:
To make it easier.
12 x 45, then add your four zeros on your answer!
Hope this helps!
Yours Truely, TheAnimeCatUwU
Which is NOT the formula for an area of a rectangle?
Group of answer choices
A = 1/2 X h X (Base 1 + Base 2)
A = L X W
A = bh
A = Base X Height
Help with these questions
it is the answer of matrix AB
hi please help me with this im learning how to play gutiar rn
Answer:
1. 1/3
2. 19/8
Step-by-step explanation:
find the general solution and find the specific solutions over the interval [0,4pi]
cos(alpha + pi/3) = (sqrt(3))/2
Answer:
Isolate the angle 2x, by following the reverse "order of operations".
Step-by-step explanation:
Explanation:
Step 1: Add 1 to both sides:
2
cos
2
(
2
x
)
=
1
Step 2: Divide both sides by 2:
cos
2
(
2
x
)
=
1
2
Step 3: Take the square root of both sides:
cos
(
2
x
)
=
√
2
2
or
cos
(
2
x
)
=
−
√
2
2
(don't forget the positive and negative solutions!)
Step 4: Use inverse of cosine to find the angles:
2
x
=
cos
−
1
(
√
2
2
)
or
2
x
=
cos
−
1
(
−
√
2
2
)
Step 5: Find angles that work:
2
x
=
π
4
or
2
x
=
7
π
4
or
2
x
=
3
π
4
or
2
x
=
5
π
4
Step 6: Solve for x:
x
=
π
8
,
7
π
8
,
3
π
8
,
5
π
8
or .785, 5.5, 2.36, 3.93
(decimal approximations are seen on the graph below)
y=(x+1)^2+2
plot five points
Answer:
(−3,6)
(−2,3)
(−1.2)
(0,3)
(1,6)
Step-by-step explanation:
PLS HELP 20 PONTS! which expression is equivalent to -2.5(1-2n) - 1.5n. select all that apply
Answer:
B
Step-by-step explanation:
Answer:
-2.5 + 3.5 n
What is the run in the red triangle below? Note the direction of the arrow.
Answer:
The rise over run in the red triangle is
-1/-4
Step-by-step explanation:
y = 1/4x + 4 (This is the equation)
So the opposite of 1/4 is
-1/-4
A dart board measures 6.5 inches from the very edge to the center of the bullseye
I need help
Answer:
a is the wrong answer
Step-by-step explanation:
the area of the circle is 40.8407 in^2