Another clerk has been hired for the camera department who also takes an average of six minutes to serve each arrival. How long would a customer expect to spend in the department now (total time, in minutes)?
Answers
The addition of the new clerk, a customer can expect to spend approximately 36 minutes in the department if there are 12 customers present.
To determine the total time a customer can expect to spend in the camera department, we need to consider the average time it takes for each clerk to serve a customer and the number of customers in the department.
Let's assume that there is only one clerk initially, taking an average of six minutes to serve each arrival. This means that a customer would spend approximately six minutes in the department.
Now, with the addition of another clerk who also takes an average of six minutes to serve each arrival, the overall service time will decrease. Since there are two clerks, the total time spent in the department can be reduced.
To calculate the new total time, we need to consider the concept of parallel processing. With two clerks working simultaneously, they can serve customers concurrently, effectively reducing the waiting time.
Assuming the arrival rate of customers is constant, the time a customer spends in the department can be estimated using the following formula:
Total time = (Number of customers / Number of clerks) * Average service time
Since we don't have the specific number of customers, we can't provide an exact value for the total time. However, we can provide an example calculation.
Let's say there are 12 customers in the department. With two clerks, the total time spent can be calculated as:
Total time = (12 customers / 2 clerks) * 6 minutes = 36 minutes
Therefore, with the addition of the new clerk, a customer can expect to spend approximately 36 minutes in the department if there are 12 customers present.
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Related Questions
there are three cards in a box. both sides of one card are black, both sides of one card are red, and the third card has one black side and one red side. we pick a card at random and observe only one side. a) if the side is black, what is the probability that the other side is also black?
Answers
There are three cards in a box. Both sides of one card are black, both sides of one card are red, and the third card has one black side and one red side.
we pick a card at random and observe only one side. a) if the side is black, the probability that the other side is also black is 2/3.
This is an opportunity hassle. To find the opportunity of an event occurring because another event has already befallen, you want to apply the idea of conditional chance.
Conditional probability is described as the chance of an occasion or final results going on, primarily based on the prevalence of a preceding event or outcome. Conditional probability is calculated by multiplying the probability of the previous occasion by the updated probability of the succeeding, or conditional, event.
In this hassle, you're given that there are three cards in a field: one with both facets black, one with each facet red, and one with one black aspect and one pink aspect. You select a card at random and examine the simplest facet.
A) If the side is black, what's the opportunity that the alternative facet is also black?
To answer this question, you want to discover the conditional opportunity of the other aspect being black given that the discovered aspect is black. This can be Black).
Using the method for conditional chance, we've got:
P(Blackwhere P (Black and Black) is the joint chance of both sides being black, and P (Black) is the marginal opportunity of one facet being black.
To locate P (Black and Black), we want to consider what number of playing cards have both facets blackout of the full variety of cards. There is handiest one card with each side blackout of three playing cards, so P (Black and Black)/P(Black)= 1/3.
To discover P (Black), we want to recall what number of sides are black out of the whole quantity of sides. There are three facets that might be a blackout of six facets, so P (Black) = 3/6 = half of.
Plugging those values into the method, we get:
P(Black/Black)=P(Black and Black)/P(Black)
= 1/3÷1/2
=2/3.
Therefore, if the facet is black, the chance that the opposite aspect is likewise black is 2/3.
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can u guys help me
Answers
Answer:
Step-by-step explanation:
Find the length of each diagnol and the area
Answers
Answer:
The length of diagonal BD is 11·(1 + √3)
The length of diagonal AC = 22
Step-by-step explanation:
The given data are;
Quadrilateral ABCD = A kite
The length of segment AD = 22
The measure of ∠DAE = 60°
The measure of ∠BCEE = 45°
Whereby, triangle ΔADE = A right triangle, and DE is the perpendicular bisector of AC, by trigonometric ratio, we have;
AE = EC
DE = 22 × sin(60°) = 11·√3
AE = 22 × cos(60°) = 11
∴ AE = EC = 11
BE = EC × tan(∠BCE) = 11 × tan(45°) = 11
The length of the diagonal BD = BE + DE (By segment addition property)
∴ BD = 11 + 11·√3 = 11·(1 + √3)
The length of diagonal BD = 11·(1 + √3)
The length of diagonal AC = AE + EC
∴ AC + 11 + 11 = 22
The length of diagonal AC = 22.
PLSSS HELP What is the formula for the following arithmetic sequence? -2, 3, 8, 13, ... an = -2n + 3 an = -2n + 7 an = 5n + 3 an = 5n - 7
Answers
Answer:
an = 5n -7
Step-by-step explanation:
Try the offered formulas with n= 1 and see which gives you the first term of the sequence.
an = -2n +3
-2(1) +3 = 1 . . . . not -2
an = -2n +7
-2(1) +7 = 5 . . . . not -2
an = 5n +3
5(1) +3 = 8 . . . . not -2
an = 5n -7
5(1) -7 = -2 . . . . this is the formula you want
_____
If you recognize the common difference of the sequence to be 5, then you can automatically eliminate any formulas that don't contain 5n.
true or false: the independent variable in a linear regression model must be interval or ratio type?
Answers
Answer:
False
What type of variables does linear regression use?
What is linear regression? Linear regression analysis is used to predict the value of a variable based on the value of another variable. The variable you want to predict is called the dependent variable. The variable you are using to predict the other variable's value is called the independent variable.
Can independent variable be categorical in linear regression?
The linear model used in regression analysis always involves a numeric dependent variable. However, in such analyses it is possible to use categorical independent variables.
Hope this helps :)
Pls brainliest...
Answer:true
Step-by-step explanation: In a linear regression model, the independent variable (also known as the predictor or input variable) is typically assumed to be of interval or ratio type. Interval and ratio data are both continuous data types that have equal intervals between values and can be subjected to mathematical operations, such as addition and subtraction.
Calculate the volume of the triangular prism shown below. Give your answer in cm³. 5 cm 7 cm 9 cm 4 cm
Answers
The volume of the given triangular prism is 315 cm³.
The volume of a triangular prism, we need to multiply the base area of the triangular base by the height of the prism.
The triangular base has a base length of 5 cm and a height of 7 cm, and the height of the prism is 9 cm.
Calculate the area of the triangular base.
The area of a triangle can be calculated using the formula:
Area = (base length × height) / 2
Plugging in the values, we have:
Area = (5 cm × 7 cm) / 2
Area = 35 cm²
Calculate the volume of the prism.
The volume of a prism can be calculated by multiplying the base area by the height of the prism.
Volume = Base area × Height
Volume = 35 cm² × 9 cm
Volume = 315 cm³
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This is a really hard question- Help
Answers
Answer:
680
Step-by-step explanation:
x = total number
.6x = bus riders = 408 (.6 is decimal for 60%)
.6x = 408
x = 408/.6 = 680
25
Consider the function, f (x) = 2x – 1
Use the above function to complete the following table.
Х
f(x)
1
0
-1
2
Answers
Answer:
well it is 1 beacuse on a numberline you would nedd the opposite of that number
Step-by-step explanation:
Calculate the average times it took the car to travel 0.25 and 0.50 meters. Record the averages, to two decimal places, in Table C of your Student Guide.
What is the average time it took the car to travel 0.25 meters?
seconds
What is the average time it took the car to travel 0.50 meters?
seconds
Answers
Answer:
What is the average time it took the car to travel 0.25 meters?
2.23 secondsWhat is the average time it took the car to travel 0.50 meters?
3.13 secondsI hope is work you!!
(1) The first velocity of the car with two washers at the 0.25 meter mark is 0.125 m/s.
(2) The second velocity of the car with two washers at the 0.5 meter mark is 0.25 m/s.
What is velocity?Velocity is the rate of change of displacement with time. The velocity of the cars depends on displacement and time of motion.
First velocity of the car at the 0.25 meter markThe first velocity is calculated as follows;
v1 = 0.25 m / t1
let t₁ = 2 s
v₁ = 0.25/2
v₁ = 0.125 m/s
Second velocity of the car at the 0.5 meter markv2 = 0.25 m / (t2 – t1)
let t₂ = 3 s
v₂ = 0.25(3 - 2)
v₂ = 0.25 m/s
The complete question is below:
Calculate the first and second velocities of the car with two washers attached to the pulley, using the formulas
v1 = 0.25 m / t1, and
v2 = 0.25 m / (t2 – t1)
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Which is the solution to the inequality?
y + 15 less-than 3
Answers
Hey there!
"less than" is "<"
y+15<3
Solve it:
y<3-15
y<-12
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!
Answer:
y < -12
Step-by-step explanation:
Edge
In Exercise 4.3.4, you learned one technique for balancing chemical equations using a systems approach. Fill in the coefficients below such that the chemical equation you saw in Problem 1 is balanced. Note: Your answers should be integers. (A)H2 +(B) 0 =(C) H2O A= B C= Each of the four shapes in the provided figure stands for a distinct positive whole number. The sum of the shapes in each row or column is shown at the end of each row or column respectively. Find the numerical value that each shape represents. 18 20 10 A 10 14 20 10 18 14
Answers
The Coefficients such that the given chemical equation is balanced is A = 2 , B = 1 , C = 2 .
In the question ,
it is given that ,
the chemical equation is (A)H₂ +(B)O₂ = (C) H₂O ,
we have to find the coefficients of the equation such that the equation is balanced ,
To balance a equation means , to make the number of atoms the same on both the reactants and products side .
to do this coefficients need to be added to the chemical equation ,
We have , (A)H₂ +(B)O₂ = (C) H₂O ,
(2)H₂ +(1)O₂ = (2)H₂O ,
Now the equation is balanced .
Therefore , the coefficients are A = 2 , B = 1 and C = 2 .
The given question is incomplete , the complete question is
Fill in the coefficients below such that the chemical equation is balanced ,
Note: Your answers should be integers.
the equation is (A)H₂ +(B)O₂ = (C) H₂O
A = ? , B = ? , C = ? .
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There are 15 squares and 6 triangles. What is the simplest ratio of triangles to total shapes?
Answers
Answer: 2:7
Step-by-step explanation:
\(\displaystyle\\\frac{6}{15+6} =\\\\\frac{6}{21} =\\\\\frac{2(3)}{7(3)} =\\\\\frac{2}{7} =\\\\2:7\)
The ratio of triangles to total shapes in simplest form is 2 : 7.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, There are 15 squares and 6 triangles.
Therefore, The total number of shapes is (15 + 6) = 21.
So, The ratio of triangles to total shapes is,
triangle/total shapes = 5/15 + 6.
triangles/total shapes = 6/21.
triangles : total shapes = 6 : 21 = 2 : 7
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A rock concert producer has scheduled an outdoor concert. The producer estimates the attendance will depend on the weather according to the following data.
Answers
to find the expected attendance, multiply the attendance by probability then add the products
6000 * 0.1 = 600
25000 * 0.2 = 5000
15000 * 0.2 = 3000
55000 * 0.5 = 27500
27500 + 3000 + 5000 + 600 = 36100
36100 * 15 = 541500 - 300000 = 241500 - 55000 = 186500
question content area the function f (x, y) = x 2 y 2 has a single global minimum and is relatively easy to minimize. (True or False)
Answers
The given function is f(x, y) = x²y². We are to determine if this function has a single global minimum and is relatively easy to minimize or not. To check if a function has a global minimum, we need to take the partial derivative of the function with respect to x and y.
Let's evaluate it.∂f/∂x = 2xy² ∂f/∂y = 2x²y Equating both the partial derivatives to zero, we get;2xy² = 0 => xy² = 0 => x = 0 or y = 0 2x²y = 0 => x²y = 0 => x = 0 or y = 0
Hence, the stationary points are (0,0), (0, y), and (x,0). Let's use the second derivative test to determine if the stationary point (0,0) is a global minimum, maximum, or saddle point.∂²f/∂x² = 2y² ∂²f/∂y² = 2x² ∂²f/∂x∂y = 4xy
The determinant is;∆ = ∂²f/∂x² * ∂²f/∂y² - (∂²f/∂x∂y)² = 4x²y²Since (0,0) is a stationary point, we have ∂f/∂x = 0 and ∂f/∂y = 0 which implies that x = 0 and y = 0, respectively. Thus, ∆ = 0 which means that the second derivative test is inconclusive and we cannot determine if (0,0) is a global minimum, maximum, or saddle point. The given function does not have a single global minimum and is not relatively easy to minimize.
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Gary count these items on his desk
4 pencils
12 markers
24 crayons
Answers
The ratio of pencils to all the item on the desk is 1 : 10
According to Gary,
Number of pencils on the desk = 4
Number of markers on the desk = 12
Number of crayons on the desk = 24
Total number of item son the desk = 4 + 12+ 24
= 40
The ratio of pencils to all the item is given as = (number of pencils)/(total number of items)
= 4/40
= 1/10
Which in ratio can be written as 1 : 10
Thus the ratio of pencils to all the item is 1 : 10
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A chef opens a bag of potatoes, only to discover that 25% of the potatoes have gone bad. If the bag contains 48 potatoes, how many potatoes have gone bad?
Answers
Answer:
12 potatoes
Step-by-step explanation:
Answer:
12 potatoes have gone bad
Step-by-step explanation:
There are 48 potatoes and 25% is equal to 1/4.
If you multiply 1/4 and 48, you will get 12.
Please help asap!!!
1)
5 - h -18____ = 25
2)
- 15 + 18_ z = - 23
3)
27 + r 2_____ = - 3
4)
26 + n -10______ = 18
5)
19 - b 15_____ = - 17
6)
f - 15 -9_____ = - 13
7)
v + 13 -11_____ = - 20
8)
- 16 - 8d = 10
9)
x - 2 19____ = 21
Answers
Answer:
1 2 3 4 5 6 7 8 9 the answer is 5
For the given sequence of 6 numbers and target value inputted for task \( 1 a \), find an arrangement of the 6 numbers that generates the biggest difference \( { }^{2} \) between the calculated result
Answers
By performing the desired calculation using each arrangement and squaring the difference between the result and the target value, you can determine the arrangement that yields the largest squared difference.
To find the arrangement of the 6 numbers that generates the biggest difference squared, you need to consider all possible permutations of the numbers. For each arrangement, perform the desired calculation using the given, such as addition, subtraction, multiplication, or any other specified operation.
Once you have the calculated result for each arrangement, calculate the squared difference between the result and the target value. This is done by subtracting the target value from the calculated result and then squaring the difference.
By comparing the squared differences obtained for each arrangement, you can identify the arrangement that yields the largest squared difference. This arrangement will have the maximum difference squared between the calculated result and the target value.
It's important to note that the specific calculation or operation to be performed is not mentioned in the question. Therefore, you need to specify the operation or provide more information to determine the exact steps for performing the calculation.
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What’s the domain of this graph?
Answers
Answer: ( ∞ , -∞ )
Step-by-step explanation:
determine the worst-case complexity in terms of comparisons of the algorithm from exercise 9 in section 3.1 for determining whether a string of n characters is a palindrome
Answers
The worst-case complexity in terms of comparisons for this algorithm is O(n/2), which simplifies to O(n) when considering the big-O notation.
The algorithm from exercise 9 in section 3.1 for determining whether a string of n characters is a palindrome involves comparing the first character of the string with the last character, then the second character with the second-to-last character, and so on, until the middle of the string is reached. The worst-case complexity in terms of comparisons occurs when the string is a palindrome and all characters need to be compared. In this case, there will be n/2 comparisons required, which gives a worst-case complexity of O(n).
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Please help me I’ll mark brainliest for whoever answers
Answers
Step two is wrong, the answer would have been 9 instead of 8.
Answer:
Step 2 is incorrect
Step-by-step explanation:
8d = 72
Divide each side by 8
8d/8 = 72/8
d = 9
Step 2 is incorrect
Notice the two points in the coordinate plane. Which answer choice is closest to the distance between the two points?
(ignore my answer, I didn't mean to click on it)
Answers
Answer:
i think 7
Step-by-step explanation:
you cant go diagonal and count it as one unit. however doing stairs up to the second point gets you 7 units
at confidence, what is the margin of error and the interval estimate of the number of -year-old drivers in 2008? round your answers to four decimal places.
Answers
Thus, the interval estimate of the number of drivers under the age of 19 in 2008, together with its margin of error of 0.0245.
Explain about the confidence interval:An unknown population parameter's value is likely to be within the bounds of a confidence interval (CI), which is a range of values. Given the qualities of your sample data, these intervals reflect a likely domain for the parameter.
Confidence intervals are computed using a predetermined degree of confidence and are obtained from sample statistics.
Margin of error ME = z(α/2)√[p(1-p)/n]
confidence interval = 95%
z(α/2) value for the 95% confidence interval = 1.96 (taken from attached table)
P = 75% = 0.75
1-p = 1 - 0.75 = 0.25
n = 1200
Put the values in formula:
ME = (1.96)*√[0.75*0.25 / 1200]
ME = (1.96)*√0.00015625
ME = 0.0245
Thus, the interval estimate of the number of drivers under the age of 19 in 2008, together with its margin of error of 0.0245.
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Complete question:
Fewer young people are driving. In 1983, 87% of 19-year-olds had a driver’s license. Twenty-five years later (in 2008) that percentage had dropped to 75%. Suppose these results are based on a random sample of 1200 19-year-olds in 1983 and again in 2008. At a 95% confidence, what is the margin of error and the interval estimate of the number of 19-year-old drivers in 2008?
Help me please I am having trouble figuring out the answer. Help me find the ratio.
Answers
Answer:
not equivalent to meteorologists ratio
Step-by-step explanation:
meteorologists ratio is
rainy days : sunny days = 2 : 5
last months weather is
rainy days : sunny days
= 10 : 20 ( divide both parts by LCM of 10 )
= 1 : 2 ← not equivalent to 2 : 5
Andrea makes Mother's Day bouquets each year for extra income. This year her goal is to make $300. If she sells each bouquet for $12.50, how many bouquets must she sell to reach her goal?
Answers
Answer:
24 bouquet
Step-by-step explanation:
300 divide by 12.50
It took a plane 2 hours to fly from Dallas to New York with the head wind and 1.5 hours to return with the tailwind. If the speed of the wind was 30 mph, how far apart are the 2 cities? Giving brainliest to correct answer
Answers
Answer:
The distance between the two cities is 360 miles.
Step-by-step explanation:
Let value "a" equal the airspeed of the plane in still air, and let value "d" be the distance between the two cities. Then:
d/a+30=1.5
d=1.5a+45
and
d/a-30=2
d=2a-60
So
2a-60=1.5a+45
.5a=105
a=210
d/210-30=2
d=360
The distance between the two cities is 360 miles.
How many hours will Regina and Joseph have to work in order to make the same amount of money in one week?
Answers
Answer:
inorder For Regina and joseph to each earn the same amount of money regina will have to work 6.50x10.7+16 and joseph
7.50x10.+10
Step-by-step explanation:
Simplify |−19+9/3| - |14−22/9|.
Answers
Just follow regular BEDMAS/PEDMAS:
|-19+(9/3)| - |14-(22/9)|
|-19+3| - |14-2.444|
|-16| - |11.556|
Then at the end make sure the numbers are all positive:
|16| - |11.556| OR just 16 - 11.556
= 4.444
Answer:
22/9 is correct
Step-by-step explanation:
10) The line FG is a diameter of the circle with centre C (6, 1). Given F is (2.-3), find the coordinates of G.
Answers
Answer:
Coordinates of the endpoint g is (10,5)
Step-by-step explanation:
The coordinates of a midpoint can be found using the formula;
(x,y) = (x1 + x2)/2 , (y1 + y2)/2
In this case, we have the mid point but we want to get the end point
Thus;
(6,1) = (x1 + 2)/2 , (y1-3)/2
x1 + 2 = 2(6)
x1 + 2 = 12
x1 = 12-2
x1 = 10
y1 - 3 = 2(1)
y1 -3 = 2
y1 = 2 + 3
y1 = 5
The coordinates of G are (10,5)
Let f(x,y)= x 2
−y
1
. (1.1.1) Find and sketch the domain of f. [4] (1.1.2) Find the range of f. (1.2) Sketch the level curves of the function f(x,y)=4x 2
+9y 2
on the xy-plane at f= 2
1
,1 and 2 . [3] (1.3) Let f be a function defined by f(x,y)= 3x 2
+y 4
2xy 2
for (x,y)
=(0,0). Show that f has no limit at (x,y)→(0,0). [4] (1.4) Apply squeeze theorem to find the following limit, if it exists or show that the limit does not exist: lim (x,y)→(0,0]
2x 2
+y 2
x 4
+x 2
y 4
[4] (1.5) Show that the function f(x,y)={ x 2
−y 2
x 3
−y 3
0
if if
(x,y)
=(0,0)
(x,y)=(0,0)
is continuous at (0,0). [5]
Answers
Domain of the function \(f(x, y) = x2 - y\)
:Domain of the function \(f(x, y) = x2 - y\) is defined as the set of all possible values of x and y for which the given function is defined. Since x2 - y is defined for all values of x and y, the domain of f(x, y) is the entire set of real numbers. the function f is continuous at (0, 0).
Therefore, the domain of \(f(x, y) = x2 - y\) is given by the set
\(D = { (x, y) | x, y ε R }\)where R is the set of all real numbers. The domain can be represented graphically as a plane with x-axis and y-axis as shown below:1.1.2. Range of the function\(f(x, y) = x2 - y\)
:The range of the function \(f(x, y) = x2 - y\) is defined as the set of all possible values of f(x, y) for which the given function is defined.
Show that the function\(f(x, y) = { x2 - y2 / x3 - y3 if (x, y) ≠ (0, 0)0 if (x, y) = (0, 0)\) is continuous at (0, 0):To show that f is continuous at (0, 0), we need to show that\(lim(x, y) → (0, 0) f(x, y) = f(0, 0) = 0\)
. Note that |f\((x, y) - f(0, 0)| = |x2 - y2 / x3 - y3| ≤ |x2 / x3 - y3| + |y2 / x3 - y3|\).
Now, \(0 ≤ |x2 / x3 - y3| ≤ |x| and 0 ≤ |y2 / x3 - y3| ≤ |y| for all (x, y) ≠ (0, 0)\). Therefore, by the squeeze theorem, we have\(lim(x, y) → (0, 0) |x2 / x3 - y3| = 0\)
and\(lim(x, y) → (0, 0) |y2 / x3 - y3| = 0\)
. Hence, \(lim(x, y) → (0, 0) f(x, y) = f(0, 0) = 0.\)
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