Answer:
a. 0.45 customers
b. 0.0145 hours
c. 1.05 customers
Step-by-step explanation:
Missing word "A vending machine dispenses hot chocolate or coffee. service time is 30 seconds per cup and is constant. customers arrive at a mean rate of 72 per hour, and this rate is Poisson-distributed."
λ = 72 customers per hours
μ = 120 customers per hours
a. Lq = λ²/ 2μ(μ-λ)
Lq = 72² / 2(120)(120-72)
Lq = 9/20
Lq = 0.45 customers
b. Ws = Wq + 1/μ = Lq/λ + 1/μ
Ws = 9/20 customers/72 customers + 1/120 customers
Ws = 0.0145 hours
c. Ls = Lq + r
Ls = 9/20 + 72/120
Ls = 1.05 customers
The Jones family is building a circular swimming pool. If the radius of the pool is 14 feet, what is its circumference? Use π = 3.14 to solve.
Answer:
87.96 ft
Step-by-step explanation:
In order to find the circumference given the radius we use 2 pi r so it would be 2xpix14 which comes out to be 87.96
A triangle has two sides of length 5 and 11. What is the smallest possible whole-number
length for the third side?
The smallest possible whole number length for the third side is 7
Data obtained from the question1st length = 52nd length = 113rd length =?How to determine the smallest possible length of the 3rd sideCase 1
1st + 2nd > 3rd
5 + 11 > 3rd
16 > 3rd
3rd length < 16
Case 2
1st + 3rd > 2nd
5 + 3rd > 11
3rd > 11 - 5
3rd > 6
Thus, we have
6 < 3rd length < 16
Since the 3rd length is greater than 6, then the smallest possible length for the 3rd side is 7
Learn more about sides of triangles:
https://brainly.com/question/17113064
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Helppp needed ( answer quickly)
Answer:
C. 57
Step-by-step explanation:
all triangles add up to 180. the tick marks show that ∠D and ∠ E are congruent so you do this and solve for x:
(4x + 1) + (4x + 1) + (5x - 4) = 180
13x - 2 = 180
13x = 182
x = 182/13
x = 14
4(14) + 1 = 57
Wholesale price: $12.75
Percent markup: 40%
Answer:
17.85
Step-by-step explanation:
12.75 multiplied by .40 = 5.10
5.10 + 12.75 = 17.85
Divide Rational Expressions
In the following exercises, divide.
Answer:
[tex]\displaystyle \mathbf{\frac{5}{(c+4)}}[/tex]
Step-by-step explanation:
Division of Rational Expressions
When dividing two rational expressions like f(c) / g(c), it's usually easier to multiply the numerator by the reciprocal of the denominator: f(c) * (1/g(c)). The reciprocal is just flipping the numerator and the denominator.
Let's find the following division:
[tex]\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}[/tex]
First, we factor the polynomials where possible.
[tex]c^2-64 = (c-8)(c+8)[/tex]
[tex]3c^2+26c+16=(3c+2)(c+8)[/tex]
[tex]c^2-4c-32=(c-8)(c+4)[/tex]
[tex]15c+10=5(3c+2)[/tex]
Substituting:
[tex]\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{\frac{(c-8)(c+8)}{(3c+2)(c+8)}} {\frac{(c-8)(c+4)}{5(3c+2)}}[/tex]
Multiplying by the reciprocal of the denominator:
[tex]\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{(c-8)(c+8)}{(3c+2)(c+8)}\cdot \frac{5(3c+2)}{(c-8)(c+4)}[/tex]
Simplifying by (c+8)(3c+2)(c-8):
[tex]\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{5}{(c+4)}[/tex]
Answer:
[tex]\displaystyle \mathbf{\mathbf{\frac{5}{(c+4)}}}[/tex]
At Thanksgiving Mrs. Jones over cook the turkey so all but 4/5 of it had to be thrown away. the 8 people at dinner. That and I each received an equal share of the remaining turkey to determine the amount of turkey die each person will receive Mrs. Jones Road an
Answer:
look up on google
Step-by-step explanation:
4/5 divided by 8 = ?
it should so the answer :) ily have a good day beb <3
Rachel finished
3
_
4
of the race in 6 hours. How long was the entire race?
Answer:
8 hours
Step-by-step explanation:
Answer:
bjhmiukjgjhkuijkl
Step-by-step explanation:
In the most recent NBA Finals series, Lebron James took 175 shots and made 80.
In his last NBA Finals series, Michael Jordan took 190 shots and made 85. Who had a better percentage?
Answer:
Michael Jordan
Step-by-step explanation:
190-85 =105
175-80=95
Answer:
Michael Jordan
Step-by-step explanation:
LA= LD
True or false
Answer:
true
Step-by-step explanation:
They are similar triangles which means that the angles will stay the same but the length will change.
Answer:
True
Step-by-step explanation:
It's given by the problem that the two triangles are similar. Similar polygons have congruent angles and proportional sides. Thus, corresponding angles between these two triangles are congruent. Since angle A and angle D correspond, they are congruent.
A mini bus can carry 8 students. How many mini buses will be needed to transport 38 students?
Answer:
5 buses
Step-by-step explanation:
you need to divide the number of students (38) by the number of students a mini bus can carry.
38 : 8 = 4.75
since they want to know how many buses will be needed to transport all students, you round 4.75 to 5
hope this helps!
is 98,376,751 an even or odd number
Answer:
it is an odd number
it could be even if it ended in 0, 2, 4, 6, and 8
Step-by-step explanation:
please give me brainliest
HURRY PLEASE!!! I HAVE TO TURN THIS IN SOON!!!
I WILL GIVE YOU BRAINLIEST!!
the directions are on the picture!
i need an explanation on how you solved it too.
Answer: Didn't flip the greater than sign to lesser than.
Step-by-step explanation: When dividing an inequality by a negative the greater than or less than sign switches.
What is the answer to this question?
Answer:
32 degrees
Explalnation:
Both of the angles are acute angles, so the answer should be 32 degrees.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
The prime factorization is
3² · 5 · 11 ; what number does this describe?
MARKING BRAINLIEST
Answer:
495
Step-by-step explanation:
multiply them together
A 100-inch pipe is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.
Help please dhskksbsjsjsbsis
Answer: Here is the pic and so its 8.9 so it would be 9 because your rounding and I hope this helps :D
Miguel is multiplying 5/8 by 1/2. Use the drop-down menu to complete the statement.
Answer:
5/8 x 1/2 = 0.3125 in decimal form
Step-by-step explanation:
Answer:
less than
Step-by-step explanation:
Which function is the inverse of f(x) = 2x + 3?
Answer:
f(x inv)=-1/2x-3
Step-by-step explanation:
You pretty much just have to flip all the numbers to fractions and all the positives to negatives.
HELP PLEASE I'M WRITING A TEST!!!
x+3/4 = x+5/6
Answer:
no solution
Step-by-step explanation:
if u plug a random number like 1 for example 1+3/4=1 3/4 and 1+5/6=1 5/6
1 3/4 =1 5/6-this is NOT equal
so no solution
hopefully that helps! please let me know if i did anything wrong thanks!
What is the remainder when 72 – 7.0 + 9, is divided by a +1
Answer:
74
Step-by-step explanation:
72-7.0+9/1
In which of these cases is each stamp worth the most? 7 of the same stamp worth a total of $3.15 8 of the same stamp worth a total of $3.20 10 of the same stamp worth a total of $4.10 16 of the same stamp worth a total of $4.80
Answer:
0.45
Step-by-step explanation:
1. 3.15÷7=0.45
2. 3.20÷8=0.40
3. 4.10÷10=0.41
4. 4.18÷16=0.26
Answer:
c i think sorry if its not good
Step-by-step explanation:
Exercise 6
Choose one of the rows from the conversion table in Exercise 5, and use models to prove your answers. (Models could include a 10×10 grid, a tape diagram, a double number line, etc.)
pick 10 x 10 it is the easy one
Step-by-step explanation:
Which sentence is represented by this algebraic equation?
9514 1404 393
Answer:
A
Step-by-step explanation:
x/2 is half of x, eliminating choices C and D.
Three is subtracted from half of x, eliminating choice B
The correct choice is A.
Answer:
a
Step-by-step explanation:
How many of each color ballon will be in each bouquest
plz answer this
Answer:
15
Step-by-step explanation:
Select the three ratios that represent the number of red cars to blue cars
hepp I am being timeddd
Question 9 of 25
Does this graph show a function? Explain how you know.
Answer:
wheres the graph tho...???????
Answer:
bruh
Step-by-step explanation:
no
Question 3 (Fill-In-The-Blank Worth 5 points)
(01.03 LC)
What number should be placed in the box to help complete the division calculation?
Long division setup showing an incomplete calculation. 16 is in the divisor, 3426 is in the dividend, and 2 hundreds and 1 tens is written in the quotient. 3200 is subtracted from 3426 to give 226. An unknown value represented by a box is being subtracted from 226.
Numerical Answers Expected!
Answer for Blank 1:
2229Step-by-step explanation:
Answer:
The answer should be 16
A piece of fabric costs $5.29 a yard. Which is an estimated cost of 16.3 yards of fabric? $21 $80 $165 $800 Mark this and return
PLEs
Answer: 80
Step-by-step explanation: 16.3×5.29=86.227
Answer:
The answer is B
Step-by-step explanation:
Also 1 ❤️= 1 GOOD LUCK TO EVRY WONE