Answers
Answer:
The slope is 4/5 i dont know unit rate though, hope this helps:)
Related Questions
Three times the sum of a number and 7 is equivalent to 57.
Answers
Answer:
3(x+7)=57
Step-by-step explanation:
3 is being multiplied by "the sum of a number(or x) and 7". So, we write it as 3(x+7). That is equal to 57, so that makes the expression 3(x+7)=57.
-hope it helps
Equivalent expressions are expressions that have the same values.
The expression is [tex]3(x + 7) = 57[/tex] and the number is 12
Represent the number with x.
So, the sum of a number (x) and 7 would be represented as: x + 7
Three times the sum would be represented as: 3(x + 7)
This expression is equivalent to 57.
So, we have:
[tex]3(x + 7) = 57[/tex]
Divide both sides of the equation by 57
[tex]x + 7 = 19[/tex]
Subtract 7 from both sides of the equation
[tex]x + 7 - 7 = 19 - 7[/tex]
[tex]x = 12[/tex]
Hence, the number is 12
Read more about equivalent expressions at:
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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
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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%).
To know more about probability, refer here:
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A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is periodically selected and weighed to determine whether under-filling or over-filling is occurring. If the sample data lead to a conclusion of under-filling or over-filling, the production line will be shut down and adjusted to obtain the proper filling.
a. Formulate the null and alternative hypotheses that will help in deciding whether to shut down and adjust the production line.
b. Comment on the conclusion and the decision when the null hypothesis cannot be rejected.
c. Comment on the conclusion and the decision when the null hypothesis can be rejected.
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Answer:
b
Step-by-step explanation:
mark brainliest pls....
Tara scored 6times as many soccer goals as Leah Leah scored 3 goals.How many more goals did Tara score
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she will score 18 goals
Step-by-step explanation:
6×3=18
State the postulate or theorem you would use to prove each pair of triangles congruent.
a) SSS
b) SAS
c) ASA
d) AAS
e) HL
f) Not possible
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Answer:
c) ASA
Step-by-step explanation:
Angles at either end of the shared line segment are marked congruent, so the triangles can be shown to be congruent using the ASA postulate. (The shared segment is congruent to itself.)
isha's art club has $250. They sell 6 paintings for $16 each. They buy 9 sketchbooks that cost $13 each. Aisha says they now have about $280. Is Aisha’s estimate reasonable? Aisha’s estimate is not reasonable. They earned about $120 and spent about $120 so they should have the same amount of money as they started with. Aisha’s estimate is not reasonable. They earned about $100 and spent about $120 so they should have about $20 less than they started with. Aisha’s estimate is reasonable. They earned about $100 and spent about $130 so they should have about $30 more than they started with. Aisha’s answer is reasonable. They earned about $60 and spent about $90 so they should have about $30 less than they started with.
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Answer:
Step-by-step explanation:
Aisha’s estimate is not reasonable.
They earned about $100 and spent about $120 so they should have about $20 less than they started with.
Solve for x in the triangle. Round your answer to the nearest tenth.
Answers
Answer:
x = 13.9
Step-by-step explanation:
15cos(22) = 13.9
Answer:
x = 13.9
Step-by-step explanation:
For the 22° angle, x is the adjacent leg. The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.
cos 22° = adj/hyp
cos 22° = x/15
x = 15 × cos 22°
x = 13.9
Answer: x = 13.9
Stacy started a banking account with $150 and is spending $7 per day on lunch. This situation models which type of function?
ОООО
linear function
quadratic function
exponential function
None of these choices are correct.
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Answer:
Linear
Step-by-step explanation:
She is spending the same amount per day, so it is linear
20. Write an expression: Alexis has $10 less than twice the amount that David has. If David has
x dollars, write an expression to represent the amount that Alexis has.
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Answer:
2x - 10
Step-by-step explanation:
'x' = amount David has
Alexis = 2x - 10
(x-3)^2=5 ? confused
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[tex](x-3)^2=5\implies \sqrt{(x-3)^2}=\sqrt{5}\implies (x-3)=\sqrt{5}\implies x = \sqrt{5}+3[/tex]
please answer for 30 points
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Answer:
(2,-2)
Step-by-step explanation:
but it says fifteen and the answer is the first one
Answer:
I believe its A. im not 100 % im sorry if its wrong
Guys help me on this one please…
Answers
Answer: 6. 35 hours
7. 741 Miles
8. 1.5 or 1.54
Step-by-step explanation:
6. 142.20/6=23.7
829.50/23.7=35
7. 117/3=39
39x19=741
8.19/12.35=1.538
Two pieces of equipment were purchased for a total of $5000. If one piece cost $410 more than the other, find the price of the less expensive piece of equipment
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Answer: i have never did a math problem like this before because i'm only in the 2nd semester of 7th grade but i will try, i think it is 2090
Step-by-step explanation: 5000 divided by 2 = 2500. then you do 2500-410. 2500-410= 2090. (i hope this will help you and sorry if i did it wrong) :)
Identify the slope formula.
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Answer:
The second one is the answer.
Step-by-step explanation:
slope= y2-y1
------------
x2-x1
If y = 6, what is the value of x given 8x + 5y = 62?
Answer:
Answers
The answer: y = 6 ⇔ x = 4
ok done. Thank to me :>
Victor buys5/8 kg of prawns each week. How many kilograms of prawns does he buy in 4 weeks?
Answers
Answer:
37/8
Step-by-step explanation:
5/8+32/8
5+32/8
37/8
An auditorium has 72 rows of seats. The first row contains 70 seats. As you move to the rear of the auditorium, each row has 2 more seats than the previous row. How many seats are in the 24 th row
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The number of seats on the 24th row is 3220.
The number of chairs in the 24th row is a function of the rate at which the chairs increase and the number of rows. The formula that can be used to determine the number of seats on the 24th row is:
P x [r x (n - 1)]
Where:
P = number of seats on the first row = 72r = rate of growth of the seats = 2n = number of the row = 2470 x [2x (24 - 1)]
70 x (2 x 23)
= 70 x 46
= 3220
A similar question was answered here: : https://brainly.com/question/18760477
HELP ME. NO LINKS!! PLEASE
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Answer:
it's ether d or a
Step-by-step explanation:
i hope this helps you!
Which of the following trinomials can be factored using the square of the difference?
NO LINKS!!
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Answer:
d) 16x² -56x +49
Step-by-step explanation:
The square of a binomial difference will have the form ...
(ax -b)² = a²x² -2abx +b²
__
The sign of the linear term will be negative, which eliminates choices A and C.
The linear term will be double the product of the roots of the other two terms.
In choice B, the linear term has a factor of 5 that appears nowhere else, so that cannot be a perfect square.
Choice D factors as ...
16x² -56x +49 = (4x -7)² . . . . the square of a difference
How do I do this? It's a modulus question.
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||x|-4|= |x-1|
1st step = separate the equation into 2 possible equations
2nd step = solve the equations
|x|-4= x-1
x= -3/2
Or
|x|-4= - (x-1)
X= 5/2
2)
Do the same
X= -5/2
X= 7/2
solve the inequality 2x+2-6x<32
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x>−15/2
15/2 is a fraction
Is (–3, –2) a solution to the equation y = x + –1?
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Answer:
No.
Step-by-step explanation:
We plug in the coordinates and that gives us -2=-3+-1, that is not true, therefore your answer is no.
Brainliest would be appreciated! :-)
Pls help thank you so much
Answers
Big Sam, an engineer of the Oval Express says: "We blew off a cylinder head an hour after leaving the station and had to continue the trip at three-fifths of the former speed, which brought us in two hours late. If the accident had occurred fifty miles father on, the train would have arrived forty minutes sooner". Based on Sam's description, how long was the run between the two train stations?
A. 150 miles
B. 200 miles
C. 250 miles
D. 300 miles
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{(y/50)+2} hour=y/30 hour gives y=150 miles. Since, the train already had covered 50 miles at full-speed before the cylinder blew, so the run between the stations was 50+150=200 miles.
Answer:
Ig 200 miles
Step-by-step explanation:
I am guessing
NEED NOW PLEASE.....
Answers
Answer:
2+(-6)
Step-by-step explanation:
hope this helps
Find the probability of rolling a die twice, first getting a 3 and then an odd number.
(This sounds simple but every answer I get isn’t the correct one)
PLEASE I DON’T UNDERSTAND
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Answer: 1/3 or 0.333333333
Step-by-step explanation:
Probability of getting a 3 is 1/6.
1/6
Probability of getting an odd number is 3/6.
3/6
Multiply them.
1/6*3/6 = 4/12
Simplify.
4/12 = 1/3
Correct me if I am incorrect.
Can anyone help me with the first question? It’s for my study guide I would really appreciate it
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What is the measure of _XYZ?
X
172
y
O A. 17°
V.
O B. 72°
55°
O C. 55°
w
D. 360
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Answer: 35°
Step-by-step explanation: We have to find the measure of angle XYZ. We know, the angle subtended at the center is the average of the measure of arc intercepted by its angle and its vertical angles. Therefore, the value of ∠XYZ = 35°.
I hope this helps!
-Notsonerdy
I need Someone to help me with this problems equation and answer must be correct (100 Points)
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Answer:
1) 3x+18=45 x=9
2)8-5x=-7 x=3
3)3+2x=15 x=6
4) 12million - 2 million = 10 million
Step-by-step explanation:
Mike Jones bought a new split-level home for $150,000 with 20% down. He decided to use Victory Bank for his mortgage. They were offering for 25-year mortgages. Provide Mike with an amortization schedule for two periods. (Use Table 15.1(b)). (Do not round intermediate calculations. Round your answers to the nearest cent.) Payment number Portion to— Balance of loan Interest Principal outstanding 1 2
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Value of Home = $150000
Down payment = 20% of $150000 = $30000
Loan Amount = $150000 - $30000 = $120000
Interest on Loan = 13.3/4% or 13.75%
Duration of Loan = 25Year
Calculation:-
Interest per month = 13.75%/12 =0.0114583333333333 % or 0.011458%
No. of months payment required = 25 years x 12 Months = 300 Months
To Calculated the monthly mortgage payment:-
The formula is M = P*i*(1 + i)^n/(1+i)^n – 1
Where M is monthly payment of Mortgage
P = principal amount of Loan = $120000
i = interest per month = 0.011458%
n=duration of loan in months = 300 months
When we apply the formula:
M = $120000*[0.011458*(1+0.011458)^300/(1+0.011458)^300-1]
= $120000*[0.011458*(1.011458)^300/(1.011458)^300-1]
=$120000*[0.011458*30.50697/30.5067-1]
=$120000*[0.011458*30.50697/29.50697]
=$120000*[0.349559/29.50697]
=$120000*0.011847 =$1421.60
So,Morgage payment Per month $1421.60
Period 1
Interest for 1st period = $120000 x0. 011458 = $1374.96
Pricipal Amount paid = $1421.60 -$1374.96 =$46.64
Balance in Principal amount = $120000-$46.64 =$119953.36
Period 2
Interest for 1st period = $119953.36 x0. 011458 =$1374.43
Pricipal Amount paid = $1421.60 -$1374.43 =$47.17
Balance in Principal amount = $119953.36 - $47.17 =$119906.19