Answers
Answer:
Integers
Step-by-step explanation:
Integers are the set of whole numbers and their opposites.
Related Questions
I need help with this please hurry it's timed
Answers
Answer:
c 5.34
Step-by-step explanation:
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%).
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Apply the distributive property to create an equivalent expression.
(6m -7)x4 =
Answers
Answer:
6mx^4-7x^4
Step-by-step explanation:
find the number of outcomes when n = 6 and r = 3. n!
(n−r)!r!
Answers
Answer:
20
Step-by-step explanation:
This is the formula for a combination. Substitute the values and evaluate the expression.
[tex]\frac{n!}{r!(n-r)!}\\\\\frac{(6)!}{(3)!(6-3)!}\\\\\frac{(6)!}{(3!)(3!)}\\\\\frac{(6\cdot5\cdot4\cdot3\cdot2\cdot1)}{(3\cdot2\cdot1)(3\cdot2\cdot1)}\\\\\frac{720}{(6)(6)}\\\\\frac{720}{36}\\\\ 20[/tex]
solve for Y 3y =2(4-2y)+6
Answers
Answer:
HOLA MATE HERE IS UR ANSWER:-
Step-by-step explanation:
3y=2(4-2y)+63y=8-4y+63y=14-4y3y+4y=147y=14y=14/7y=212*10-50 i am in a hurry
Answers
Answer: 70
Step-by-step explanation:
12*10 = 120-50 = 70
Sheila is making accessories for the soccer team. She uses 559.24 inches of fabric on headbands for 28 players and 3 coaches. She also uses 271.04 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answers
Answer:
27.72 inches of fabric
Step-by-step explanation:
28+3=31
Fabric used on each player:559.24÷31=18.04
271.04÷28=9.68
18.04+9.68=27.72
3a+5=20 steps on paper
Answers
Answer:
5
Step-by-step explanation:
3a+5=20 -5
3a=15 /3
a=5
is ( -5, 6) ( -2, 0) ( 0, 6) ( 0, 2) ( 1, -3) a function
Answers
Answer:
No
Step-by-step explanation:
No, ( -5, 6) ( -2, 0) ( 0, 6) ( 0, 2) ( 1, -3) do not make up a function. It does not pass the vertical line test when graphed, as there are 2 points, (-5, 6), and (0, 6), that lines up on the same y-value.
You have been asked to analyze the popcorn recipes of three different local theatres in order to figure out which theatre has the best popcorn. In this case, the "best" popcorn is the most buttery! In your quest to find the best, you meet with each theatre manager individually and ask for the ratio of oil to popcorn kernels that they use in their recipes. Here are their responses.
The manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.
The manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
The manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.
You also ask about the amount of salt each theatre uses in their recipe. Their responses are below.
Theatre A uses 2 cups of salt for every 10 cups of oil.
Theatre B uses cup salt for every cup of oil.
Theatre C uses 1 cup of salt for every 6 cups of oil.
For each of the following ratio problems, use a double number line or an equation to solve. Type your answers as numbers.
If Theatre A uses 27 cups of popcorn kernels, how many cups of oil will they use?
_____cups
Answers
Answer: The ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.
Step-by-step explanation: Given that the manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.
Then, the ratio value of oil to popcorn kernels for theatre A is 5 / 15 = 1 / 5.
Given that the manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
Then, the ratio value of oil to popcorn kernels for theatre B is 18 / 72 = 1 / 4.
Given that the manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.
Then, the ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.
Factor 1/5 out of 1/5x - 3/5
Answers
[tex]\dfrac 15 x - \dfrac 35\\\\\\=\dfrac 15 x- \dfrac 15 \cdot 3\\\\\\=\dfrac 15(x-3)[/tex]
A line with a slope of 1 passes through the point (5, -3). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
y=1x-8
Step-by-step explanation:
Lets do the same thing we did last time
-3=1(5)+?
-3=5+?
The y intercept is -8
CHECK:
-3=1(5)+-8
-3=5+-8
-3=-3
Answer:
y=x-8
Step-by-step explanation:
y-y1=m(x-x1)
y-(-3)=1(x-5)
y+3=x-5
y=x-5-3
y=x-8
Which of the following statements are true? Select all that apply.
A. ∠3 ≅ ∠2 because they are alternate interior angles.
B. m∠1 + m∠3 = 180° because they form a straight angle.
C. ∠3 ≅ ∠6 because they are alternate interior angles.
D. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.
Answers
The true statement are
2. <1 + <3 = 180 because form a straight angle.
3. ∠3 ≅ ∠6 because they are alternate interior angles.
4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.
What are parallel lines?
Two lines in a plane are said to be parallel if they do not intersect when extended infinitely in both directions.
Two lines cut by a transversal line are parallel if the corresponding angles so formed are equal. In general, the corresponding angles are in relative positions and lie along the same side of the transversal.Two lines cut by a transversal line are parallel if the alternate interior angles so formed are equal. In general, the pairs of the alternate interior are found in the inner side but lie on the opposite sides of the transversal.Two lines cut by a transversal line are parallel if the alternate exterior angles so formed are equal. In general, the pairs of alternate exterior angles are found on the outer side but lie opposite each other.As, from the figure
1. <3 = <2 because of vertically opposite angle.
Hence, it is false
2. <1 + <3 = 180 because form a straight angle.
Hence, it is true.
3. ∠3 ≅ ∠6 because they are alternate interior angles.
Hence, it is true.
4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.
Hence, it is true.
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HELP ME. NO LINKS!! PLEASE
Answers
Answer:
it's ether d or a
Step-by-step explanation:
i hope this helps you!
Help me solve this please, im really bad at stuff like this
Answers
Answer:
given
Step-by-step explanation:
Answer:
statement - reason
BC||AD, <BAD is congruent to <DCB - given
<CBD is congruent to <ADB - alternate interior angles
BD is congruent to BD - reflexive (?)
triangle ADB is congruent to triangle CBD - AAS
AB is congruent to CD - CPCTC (corresponding parts of congruent triangles are congruent)
In a chess club there are 10 males and 15 females. What percentage of the club is females?
Answers
Answer:
60%
Step-by-step explanation:
15 out of 25 is 60%
25 is the total people in the club
Hope this helps
Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles by SSS or SAS, write "not enough information". Explain your answer.
Write a congruence statement and give a reason why the triangles are congruent. Select the correct choice below and, if necessary, write the vertices of the second triangle in the correct order.
Answers
Answer:
option B is correct answer. ∆SVZ~=∆YVX, SSS
Step-by-step explanation:
reasons,
VY=VS, S
YX=SZ, S
VX=VZ, S
therefore, ∆SVZ~=∆YVX.
hope this helps you.
The two triangles are congruent by side angle side property. The correct option is A.
What is congruency?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.
Given that there are three triangles and these three triangles are connected to each other at the centres' A, B, and C.
The diameter of the three circles is HF, DF, and DH. The three diameters are similar in shape and are also equal to each other.
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Solve x + 5x – 14 = 0
Answers
Hey there!
Solve the equation:
Answer :x = 7/3 ✅
Explanations:x + 5x - 14 = 0
>> Add 14 to both sides :
x + 5x - 14 + 14 = 0 + 14
x + 5x = 14
6x = 14
>> Divide each side by 6 :
6x / 6 = 14 / 6
x = 14/6
Simplify the result :
14 / 6 = 2*7 / 2*3 = 7/3
Therefore, your answer is 7/3 .
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10 minus one third of a number is 4
Answers
Answer:
x = 18
Step-by-step explanation:
10 - x/3 = 4
=> - x/3 = -6
=> -x = -18
=> x = 18
Hoped this helped.
Answer: 18
Step-by-step explanation:
10 -1/3y = 4
1/3y = 10 - 4
1/3y = 6
y = 6 x 3 = 18
A group of 8 people are sharing gummy bears each person wants 5 gummy bears each bag has 9 gummy bears
Answers
At least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.
The given parameters;
total number of people sharing the gummy bears, n = 8 peoplenumber of gummy bears in each bag, = 9 gummy bearsnumber of gummy bears needed by each person = 5 gummy bearsThe number of gummy bear bags needed to share 5 gummy bears to each person is calculated as follows;
let the number of gummy bears bag = x
[tex]\frac{9x}{8} = 5\\\\9x = 40\\\\x = \frac{40}{9} \\\\x = 4.4[/tex]
Thus, at least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.
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Wärmelehre - German
20 Words
Answers
Answer:
Step-by-step explanation:
a steel batch of t = 830 c is quenched in an oil bath (mol = 450kg / tol = 20c). What is the maximum mass of steel in kg allowed in the batch. Have the oil not heated up to more than 30 c?
useful data: ol c = 1.8kj / (kg.K)
steel: c = 0.49kj / (kg.K m steel = kg
2) Oil with ρ= 876 kg/m3 and μ= 0.24 kg/m · s is flowing through a 1.5 cm diameter pipe that discharges into the atmosphere at 88 kPa. The absolute pressure 15 m before the exit is measured to be 135 kPa. Determine the flow rate of oil through the pipe if the pipe is (a) horizontal, (b) inclined 8° upward from the horizontal, and (c) inclined 8° downward from the horizontal.
Answers
The pressure in a fluid flowing with laminar flow through a pipe is given by
Hagen-Poiseuille equation.
The correct responses are;
(a) If the pipe is horizontal, the flow rate is approximately 1.622 × 10⁻⁵ m³/s(b) If the pipe is inclined 8° upwards, the flow rate is approximately 1.003 × 10⁻³ m³/s(c) If the pipe is inclined 8° downwards, the flow rate is approximately 2.24 × 10⁻⁵ m³/sReasons:
When the flow is a steady incompressible flow through pipe, the flow rate
can be derived from the Hagen-Poiseuille equation as follows;
[tex]\displaystyle \dot V = \mathbf{\frac{\left[\Delta P - \rho \cdot g \cdot L \cdot sin\left(\theta \right) \right] \cdot \pi \cdot D^4 }{128 \cdot \mu \cdot L}}[/tex]
ΔP = 135 kPa - 88 kPa = 47 kPa
The density of the oil, ρ = 876 kg/m³
μ = 0.24 kg/(m·s)
L = 15 m
The diameter of the pipe, D = 1.5 cm = 0.015 m
(a) When the pipe is horizontal, we have;
θ = 0°
Which gives;
[tex]\displaystyle \dot V = \mathbf{\frac{\left[47 \times 10^3 - 876 \, kg/m^3 \times 9.81 \, m/s^2 \times 15 \, m \cdot sin\left(0^{\circ} \right) \right] \times \pi \times (0.015 \, m)^4 }{128 \times 0.24 \, kg/(m \cdot s) \times 15 \, m}}[/tex]
[tex]\displaystyle \dot V = \frac{\left[47 \times 10^3\, Pa - 128903.4\, Pa \cdot sin\left(0^{\circ} \right) \right] \times \pi \times (0.015 \, m)^4 }{128 \times 0.24 \, kg/(m \cdot s) \times 15 \, m}[/tex]
[tex]\displaystyle \dot V = \frac{\left[47 \times 10^3\, Pa - 128903.4 \, Pa \cdot sin\left(0^{\circ} \right) \right] \times \pi \times (0.015 \, m)^4 }{128 \times 0.24 \, kg/(m \cdot s) \times 15 \, m} =\frac{0.002379357\cdot \pi}{460.8}[/tex]
[tex]\displaystyle \dot V=\frac{0.002379357\cdot \pi}{460.8} = \mathbf{1.622 \times 10^{-5}}[/tex]
The flow rate when the pipe is horizontal, [tex]\displaystyle \dot V[/tex] = 1.622 × 10⁻⁵ m³/s(b) When the pipe is inclined 8°, we have;
[tex]\displaystyle \dot V = \mathbf{\frac{\left[47 \times 10^3\, Pa - 128903.4\, Pa \cdot sin\left(8^{\circ} \right) \right] \times \pi \times (0.015 \, m)^4 }{128 \times 0.24 \, kg/(m \cdot s) \times 15 \, m}} = 1.003 \times 10^{-5} \, m^3/s[/tex]
The flow rate of oil through the pipe if the pipe is inclined 8° upwards from the horizontal, [tex]\displaystyle \dot V[/tex] = 1.003 × 10⁻⁵ m³/s(c) If the pipe is inclined 8° downward from the horizontal, we have;
[tex]\displaystyle \dot V = \frac{\left[47 \times 10^3\, Pa - 128903.4\, Pa \cdot sin\left(-8^{\circ} \right) \right] \times \pi \times (0.015 \, m)^4 }{128 \times 0.24 \, kg/(m \cdot s) \times 15 \, m} = 2.24\times 10^{-5} \, m^3/s[/tex]
If the pipe is inclined 8° upwards from the horizontal, the flow rate of oil through the pipe is, [tex]\displaystyle \dot V[/tex] = 2.24 × 10⁻⁵ m³/sLearn more about flow through pipes here:
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Anna categorized her spending for this month into four categories: Rent, Food, Fun, and Other.
If Anna spent a total of $2900 this month, how much did she spend on Rent?
Answers
Answer:
.26 * 2900= 754 dollars
Step-by-step explanation:
I'm not sure if it's right.
Find x, y
Please try to explain how you did it
Answers
a computer performs a calculation in 3.5 x 10^-5 seconds to solve a math problem. How long does the computer need to calculate the solutions to 5 x 10^4 math problems. Enter your answer in standard form
Answers
Step-by-step explanation:
let's do this in 2 steps :
1. go for 1×10⁴ math problems
2. multiply that result by 5 to fully cover 5×10⁴
1.
3.5×10^-5 × 1×10⁴ = 3.5×10^-1
2.
5 × 3.5×10^-1 = 16.5×10^-1 = 1.65×10⁰
so, the computer needs 1.65×10⁰ or simply 1.65 seconds.
In a class of 36 students, 27 download rap music onto their mobile phones.
What percentage of the students listen to rap music?
Answers
Approximately 75% of the students in the class listen to rap music.
Percentage is a way of expressing a proportion or a fraction of a whole quantity in terms of 100. It is denoted by the symbol "%". The term "percent" comes from the Latin word "per centum," which means "per hundred."
To calculate the percentage of students who listen to rap music, you can use the following formula:
Percentage = (Number of students who listen to rap music / Total number of students) * 100
In this case:
Number of students who listen to rap music = 27
Total number of students = 36
Percentage = (27 / 36) * 100 ≈ 75%
So, approximately 75% of the students in the class listen to rap music.
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(GIVING BRAINLIEST AND EXTRA POINTS) A multiplication expression with a product of 108,064 is shown below. What is the missing digit?
2
3
4
5
Answers
Answer: The missing digit is 2.
Step-by-step explanation:
4,912*22= 108,064
Connor gets one hour of lunch and recess every day at school. He eats lunch first, and then gets to go outside for recess. He begins lunch at 11:15am. Based on this information, select All of the statements that are correct. a. If it takes Connor 25 minutes to eat lunch, he can go outside for recess at 11:40am. b. If it takes Connor 35 minutes to eat lunch, he will have 20 minutes left for recess. c. If it takes Connor 20 minutes for lunch, he can go outside for recess before 11:45am. d. If it takes Connor 25 minutes for lunch, he will still have at least 40 minutes left for recess. Vle. If it takes Connor 45 minutes for lunch, he can go out to recess at 12:00pm.
Answers
Answer: B ( sorry if im wrong )
Step-by-step explanation:
if Conner begins lunch at 11:15am then we need to find out what it'll be in +60 minutes, which is . . . 12:15pm
so it's not A, C, E - which now leaves us B and D
( I used a time calculator btw )
the answer is D because B is 25 minutes for recess
squared root of -100 = ____ + ____^i
Answers
Step-by-step explanation:
thats way of multiplication not 56
Answer:
√−100 = 0 + 10 i
Step-by-step explanation:
How many solutions does the nonlinear system of equations graphed below have?
Answers
Answer:
Four
Step-by-step explanation:
I recoloured the hyperbola to enfasize the two different equations (the other is a circle. The solution of the equations are the point where the two graphs touch, which are circled in black.
