Answer:
$25
Step-by-step explanation
Multiply $20 by 0.25 (which is 25% as a decimal)
$20 x 0.25 = $5
Add $5 to $20 which makes the answer $25
Consider an espresso stand with a single barista. Customers arrive at the rate of 25 per hour according to a Poisson distribution. Service times are exponentially distributed with a mean service time of 1.5 minutes per customer. Answer: a. What is the service rate per hour for the expresso stand? b. What is the probability that the server is busy? c. What is the probability that the server is idle? d. What is the average number of customers waiting in line? e. What is the average time in minutes a customer spends waiting in line for service?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Arrival rate λ = 25 per hour
Service time = 1.5 minutes per customer
A.) The service rate per hour :
60 / service time = 60 / 1.5 = 40 customers per hour
B.) probability that server is busy
Utilization factor = arrival rate / service rate
= 25 / 40
= 0.625
C.) probability that server is idle :
1 - 0.625 = 0.375
D.) average Number of customers waiting on line ;
λ² / μ(μ - λ)
25² / 40(40 - 25)
625 / 40(15)
= 1.04
Average time spent waiting in line for service :
λ / μ(μ - λ) * 60
25 / 40 ( 40 - 25)
25 / 40(15)
0.0416666 * 60
= 2.5 minutes
PLEASE HELP AS SOON AS POSSIBLE
Answer:
ill help just give me a second ill post it in the commits. ok
Step-by-step explanation:
John and Nadim do the math homework together. When they find 9 - (-8), they get different answers. John claims the difference is 17. Nadim claims the difference is -1. Who is correct?
Answer:
John is correct
Step-by-step explanation:
The rule in mathematics states that
- × + = -
+ × + = +
- × - = +
Hence, for the homework,
9 - (- 8) = x
9 + 8 = 17
Therefore, John is correct and Nadim is incorrect.
scoob oh no you need help
Answer:
yes raggy
Step-by-step explanation:
i need help raggy
Answer:
how are you raggy?
Step-by-step explanation:
What answer gives the solution(s) to the quadratic equation 2x2 + 4x + 5 = 0
Help Idk what I did wrong show your work please
Answer: x = 10
Step-by-step explanation:
first Add 20 to both sides.
4x = x + 10 + 20
Then Simplify x + 10 + 20 to x + 30
4x = x + 30
Then u subtract x from both sides
4x - x = 30
Simplify 4x - x to 3x
3x = 30
Then u divide both sides by three
x = 30/3
Then u last simplify 30/3 to 10
x = 10
Answer:
x = 10
Step-by-step explanation:
first Add 20 to both sides.
4x = x + 10 + 20
Then Simplify x + 10 + 20 to x + 30
4x = x + 30
Then you subtract x from both sides
4x - x = 30
Simplify 4x - x to 3x
3x = 30
Then you divide both sides by three
x = 30/3
Then you last simplify 30/3 to 10
x = 10
Hannah has invested £400 in a bank account.
She creates a formula to show her the money she has in her account (M) and a given
amount of years (n). -
M = 400 x (1.021)^n
Looking at her formula, what is the interest rate of the bank account?
Answer:
4000
Step-by-step explanation:
what is thirty four multiplied by negative forty percent
Answer:
-13.6
Step-by-step explanation:
Answer:
-1,360
Step-by-step explanation:
34 x -40
Key:
Positive x Negative = Negative
Negative x Negative = Positive
what is 145,000,000 written in scientific notation?
Answer:1.45 ×10 to the 8th power
Step-by-step explanation:
3(-4+x)=-42 two step problem
Answer: x=-10
Step-by-step explanation:
3(-4+x)=-42
Distribute
-12+3x=-42
Bring -12 to the other side (switches signs)
3x=-30
Divide 3 from both sides
x=-10
Graph the inequality.
Answer:
I don't have a way to graph it but just fill everything under and including the line of y =<5.
Step-by-step explanation:
what does a number in parentheses cause the graph to do?
Please Help!!
Evaluate the following using the order of operations.
17 – 4 • 3 + 18 3(4) + 4(5)
(60 – 20) ÷ 4 + (3 • 5) 15 – 2 • 4 – (6 – 3)
(3 • 2 + 6) ÷ 4 + 2(18 – 3) 25 + 10 – 5 ÷ 5
Answer:
1388
Step-by-step explanation:
Answer:
17 – 4 • 3 + 18 3(4) + 4(5)
Step-by-step explanation:k12
You purchased concentrated cleaner that must be diluted (watered down) before use. Container A is the cleaner, which is a 30% solution. Container B is pure water. You are mixing together the contents of Container A and Container B to produce 60 gallons of 8% solution. How many gallons from each container are needed to create the 60 gallons of 8% cleaning solution? Write your answers as integers only.
Container A: 30% Cleaning Solution =
gallons
Container B: Pure Water =
gallons
Answer:
Container A: 30% Cleaning Solution = 4.8 gallons
Container B: Pure Water = 55.2 gallons
Step-by-step explanation:
since 8% of 60 gallons is 4.8 that means their is 55.2 gallons of pure water
We need to mix two components (a cleaner that is 30% solution and pure water) such that we end with 60 gallons of 8% solution, and we want to know the volume of each of these two components that we need to use.
The solution is:
Container A: 30% Cleaning Solution = 16 gallons
Container B: Pure Water = 44 gallons
------------------------------------------
Now let's see how to solve this:
Let's start by defining variables:
x = volume of water used.y = volume of cleaner used.We know that we want to get 60 gallons, so we have that:
x + y = 60 gal.
And we want this to be an 8%, then we must have that the amount of solution on the left side is equal to the amount of solution on the right side.
on the left side the amount of solution is just 0.3*yon the right side the amount of solution must be (60 gal)*0.08(note that the percentages are used in decimal form).
Then we have:
0.3*y = (60 gal)*0.08
With this equation we can find the value of y:
y = (60 gal)*0.08/0.3 = 16 gal.
Now that we know the value of y, we can replace it in the equation:
x + y = 60 gal
to get the value of x:
x + 16gal = 60 gal
x = 60 gal - 16 gal = 44 gal.
So finally, we can conclude that you need to use 44 gallons of water and 16 gallons of cleaner.
If you want to learn more, you can read:
https://brainly.com/question/24395090
the value of y varies directly with x. If x=4 then y=6. What is the value of y when x=12?
Answer:
When x is 12, y would be 18.
Step-by-step explanation:
12/4=3, 3*6=18.
Darren borrowed $25 dollars from his sister to buy a new video game he made $15 mowing the lawn he gave the money to his sister what is the current balance
Answer:
10 dollars
Step-by-step explanation:
15 - 25 = -10 but debt is recorded as positive in accounting, so $10 (might be overthinking xd)
which step is wrong pls help
Answer:
the second step and third step
Step-by-step explanation:
in the second step, you are supposed to move 5x to the left side
in the process of this, 5x should turn negative, and you should be subtracting it from 7x, not adding it.
so the +5x should be -5x
in the third step you should divide, but when you divide 6 by 12, you should get 0.5, not 2.
The factor rainbow for the number 48 is shown.
Which two factor pairs of 48 contain a factor that is a prime number?
Answer:
The factor rainbow of 48 are 10 digits in total:1,2,3,4,6,8,12,16,24
Prime numbers are numbers which have only two factors:one and itself.
The answer is:2 and 3[pair]
Answer:
The answer is:2 and 3[pair]
Step-by-step explanation:
At a sale, dresses were sold for $144 each. If the dresses originally cost $200 each, what percentage of its original price was a dress sold for?
Answer:
72%
Step-by-step explanation:
Percentage of original price = (Selling Price/Cost Price) x 100%
= ($144/200) x 100%
= ($0.72) x 100%
= 72%
4.3x10
Simplify
8.6 x 10
Tax rates are: no tax on the first £11000 of earnings earnings in excess of £11000 and up to £43000 taxed at a rate of 20% earnings in excess of £43000 and up to £150000 taxed at a rate of 40% Carys earned £45600 before tax how much tax did she pay in total?
Answer:
She paid tax of £18240
Step-by-step explanation:
We are told that Carys earned £45600 before tax.
Now, from the question, the tax rate that applies is 40%. This is because she earned £45600 and we are told that earnings in excess of £43000 and up to £150000 taxed at a rate of 40%.
Thus;
Tax payable = 40% × 45600
Tax payable = £18240
Jason walks 1 1/4miles to school in 3/4 of an hour. What was Jason's speed?
Answer:
3/5
Step-by-step explanation:
because i said so ️
I need help pls anyone pls
Answer:
See image; y=1/2x + any negative number
Step-by-step explanation:
The slope is 1/2, meaning that it will go up one unit, and to the right two units (rise over run). The y-intercept needs to be negative, so it could be anywhere from 0<y< negative infinity. Slope intercept form is y=mx+b, where m is the slope and b is the y-intercept. M will be 1/2, and b can be any negative number. Included is an example, but it is not the only solution.
Find the solution(s) of the following equation.
b^2 = 49b
2
=49b, squared, equals, 49
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
b = 7b=7b, equals, 7
(Choice B)
B
b = -7b=−7b, equals, minus, 7
(Choice C)
C
b = \sqrt{49}b=
49
b, equals, square root of, 49, end square root
(Choice D)
D
b = -\sqrt{49}b=−
49
b, equals, minus, square root of, 49, end square root
(Choice E)
E
None of the above
Answer:
All of the above
Step-by-step explanation:
i just did it (also sorry it took a year for your question to be answered :(
B. Alex puts 1/4 1of his money in savings and uses 1/( 2) of the remaining money to pay back her sister. If she has GH¢15 left, how much did she have at first?
Answer:
GH¢60
Step-by-step explanation:
Alex puts 1/4 1of his money in savings and uses 1/( 2) of the remaining money to pay back her sister. If she has GH¢15 left, how much did she have at first?
Let the Total amount of Alex money = 1
We are told that she has GH¢15 left,
Hence, we find the fraction of the money she has left
1 - (1/4 + 1/2)
1 - 3/4
= 1/4
The fraction of the amount she left = 1/4
Let x represent the total amount of money that Alex had
1/4 × x = GH¢15
x / 4 = GH¢15
Cross Multiply
x = 4 × GH¢15
x = GH¢60
Therefore, Alex had GH¢60 at first
Write a subtraction expression for the number line model.
-10
-8
-6
-4
-2
0
2
4
6
8
10
x y graph
Which subtraction expression does the number line model show?
Answer:
+2 that's what I think it is
Solve and simplify 3/4 divided by 7/8
Answer:
6/7
Step-by-step explanation:
3/4÷7/8
you do the reciprocal of the second fraction
So it will be: 3/4 x 8/7
= 6/7
Answer:
it's 6/7
Step-by-step explanation:
As 3/4÷7/8
=3/4×8/7
=24/28
=6/7
heeeelllllllllllllllllllllllllppppppppppppppppppppp
just replace all the ms in the equation with -5
(-5^2) -8 x -5 - 6
25 + 40 - 6 = 59
At Finky Feed Store, Gerby purchased 7 pounds of cracked corn, 3 pounds of
sunflower seed, and 8 pounds of mixed bird seed for $31.00. Michael purchased
5 pounds of cracked corn, 4 pounds of sunflower seed, and 10 pounds of mixed
bird seed for $32.75. Jayleen purchased 4 pounds of sunflower seed and 12
pounds of mixed bird seed for $27.00.
If c represents cracked corn, s represents sunflower seeds, and b represents bird
seed, which of the systems of equations below can be used to determine the
price per pound of cracked corn, sunflower seed, and bird seed?
Answer:
[tex]7c + 3s + 8b = 31.00[/tex]
[tex]5c + 4s + 10b = 32.75[/tex]
[tex]4s + 12b = 27.00[/tex]
Step-by-step explanation:
Given
[tex]c = corn[/tex]
[tex]s = sunflower[/tex]
[tex]b= bird[/tex]
For Gerby:
Items: 7lb of c, 3lb of s and 8lb of b
Total: $31.00
This will be represented using sum of products as:
[tex]7c + 3s + 8b = 31.00[/tex]
For Michael:
Items: 5lb of c, 4lb of s and 10lb of b
Total: $32.75
This will be represented using sum of products as:
[tex]5c + 4s + 10b = 32.75[/tex]
For Jayleen:
Items: 4lb of s and 12lb of b
Total: $27.00
This will be represented using sum of products as:
[tex]4s + 12b = 27.00[/tex]
Hence: The systems of equation are:
[tex]7c + 3s + 8b = 31.00[/tex]
[tex]5c + 4s + 10b = 32.75[/tex]
[tex]4s + 12b = 27.00[/tex]
Will give brainiest to the person who answers
Answer
1) No 2) Yes
Step-by-step explanation:
the middle number has to be bigger than the side numbers
Answer:
Both questions Answers- 1-no 2-yes