The solution is, c3 = 24 cases, and, c4 = 96 cases.
What is percentage?A percentage can be stated as a number or ratio that can be expressed as a fraction of 100. A percentage usually represented as a number or ratio expressed as a fraction of 100. It is usually denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number which has no unit of measurement.
here, we have,
given that,
Total time in a week = 40 hours = 2400 minutes
Total time Administrator is utilized = 50 * 20 = 1000 minutes
Total time Senior accountant is utilized= 20% * 50 * 40 = 400 minutes
Total time Junior accountant is utilized = 40%*50*15 = 600 minutes
For Total cases, Total capacity
= Total time / Bottlenck time (Administrator)
= 2400 / 20
= 120 cases
C-3) Capacity of new customers at 20:80 ratio = 20% * 120 = 24 cases
C-4) Capacity of repeat customers at 20:80 ratio = 20%*120 = 96 cases
c-1 = Flow rate
= min ( demand, capacity) for new customers
= 10 new cases / week (20%*50)
c-2 = Flow rate
= 40%*50
= 40 cases / week
c3 = 24 cases
c4 = 96 cases
Hence, The solution is, c3 = 24 cases, and, c4 = 96 cases.
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how much of a circle does a 100 degree angle turn through
Answer: 5/18
Step-by-step explanation: A circle is 360 degrees so if you are turning 100 degrees... you would get 100/360 of the way around the circle.
100/360 = 5/18
Solve 4r2 – 5 = 59
{± 3}
{± 4}
{± 5}
{±6}
9514 1404 393
Answer:
(b) ±4
Step-by-step explanation:
4r^2 -5 = 59 . . . . given
4r^2 = 64 . . . . . . . add 5
r^2 = 16 . . . . . . . . . divide by 4
r = ±4 . . . . . . . . . . . take the square root
1.6
Study the following temperature conversions and answer the questions that
follow
°C =( °F 32°C) = 1.8
OF = (1,8 x °C) + 32
The melting point of ice is 0°C, what is this temperature in degrees
2
1.7
Fahrenheit?
2
1.8
Determine the temperature in degrees Celsius if the temperature is 95°F
[12]
Answer:
a. 0°C = [tex]32^{o}[/tex]F
b. 95°F = [tex]35^{o}[/tex]
Step-by-step explanation:
a. The temperature of melting point of ice (0°C) in degrees Fahrenheit can be determined as;
OF = (1.8 x °C) + 32
= (1.8 x 0) + 32
OF = 32
Thus the temperature is [tex]32^{o}[/tex]F.
b. 95°F in degrees Celsius can be determined by;
°C = ( °F - 32) ÷ 1.8
= (95 - 32) ÷ 1.8
= 63 ÷ 1.8
°C = [tex]35^{o}[/tex]
Thus the temperature is [tex]35^{o}[/tex]C.
The equation of the line that passes through the point (0,5) and has a gradient of 4 is
I think its 2 Finding the gradient of a straight-line graph
The gradient of the line = (change in y-coordinate)/(change in x-coordinate) . We can, of course, use this to find the equation of the line. Since the line crosses the y-axis when y = 3, the equation of this graph is y = ½x + 3 .
A researcher calculated sample proportions from two independent random samples. Assuming all conditions for inference are met, which of the following is the best method for the researcher to use to estimate the true difference between the population proportions?
Answer:
A) Construct a two-sample z -interval for the difference between population proportions.
A Ferris wheel is 35 meters in diameter and boarded from a platform that is 3 meters above the ground. The six o'clock position of the Ferris wheel is level with the loading platform. The wheel completes one revolution in 8 minutes. The function, h(t), gives your height in meters above the ground t minutes after the wheel beings to turn. How high are you off the ground after 6 minutes
Answer:
height = 20.5068 m
Step-by-step explanation:
Given the data in the question;
First, lets calculate the amplitude, midline and period of 8minutes
Amplitude = 35 / 2 = 17.5
|A| = 17.5
A = - 17.5 { since the wheel starts at 6 o clock }
midline C = (35/2) + 3
C = 17.5 + 3
C = 20.5
And period is 8 minutes
⇒ 2π/B = 8
8B = 2π
B = 2π/8 = π/4
So our equation will be in the form of;
y = h(t) = Acos(B×t) + C
∴ h(t) = -17.5cos( π/4×t) + 20.5
Now, How high are you off the ground after 6 minutes
⇒ height = -17.5cos( π/4 × 6) + 20.5
height = -17.5cos( π/4 × 6) + 20.5
height = -17.5cos( 4.71238898) + 20.5
height = -17.5 × cos( 4.712) + 20.5
height = -17.5 × -0.00038898 + 20.5
height = 0.0068 + 20.5
height = 20.5068 m
The ratio of the length to breadth
of a room is 7:5. Find the length
of the room if the breadth is
10m
Answer:
14m
Explanation:
10 ÷ 5 = 2
2 × 7 = 14
Please help me thanks y’all
[tex]h^{2}=6*6\\h^{2}=36\\h=6\\and\\ y=45[/tex]
Classify the triangle as acute, obtuse, or right based on the given side
lengths. *
8, 17, 19
Acute
Obtuse
Right
Answer:
Obtuse
Step-by-step explanation:
Pythagorean thm:
a² + b² = c²
8² + 17² = 19²
64 + 289 = 361
353 = 361
Since c (the hypotenuse) is bigger than the legs combined, the triangle is obtuse.
Help me please I’m not smart -
A club has 800 members.
100 of the members were randomly picked and were asked if the dues should be
raised.
6 of the members said that dues should be raised.
Based on these results, about how many members in the club would be expected to say
that dues should be raised?
A. 14
B. 42
C. 48
D. 66
Answer:
C-48
Step-by-step explanation:
Around 48 individuals would be required to say that contribution be raised
Bit by bit clarification:
Here, we will utilize an instance of a delegate testing to decide the real.
Out of the 100 chose individuals, 6 said the levy ought to be raised;
This addresses a level of 6/100 = 6%
So out of the 800, the normal number of individuals that would request a levy raising will be;
6/100 * 800 = 48
HELPPPP MEEEEEEEEEEEEEEEEE
Answer: what you need
Step-by-step explanation:
Help please question in picture
Answer:
10 units squared
Step-by-step explanation:
[tex]4(5)=20[/tex]
[tex]\frac{20}{2}=10[/tex]
A hotel manager recorded the percentage of rooms that were occupied each day over a period of 25 days. The data she collected is shown on the graph.
The manager recognizes that the data approximates a transformation of the parent sine function, .
Which value is closest to the amplitude of the transformed function?
Answer:
D. 15
Step-by-step explanation:
I just took the test lol
The amplitude of the function is 15 if the data approximates a transformation of the parent sine function option (D) is correct.
What is sin function?It is defined as the function which is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a] where is a amplitude of the function.
We have hotel manager recorded the percentage of rooms that were occupied each day over a period of 25 days.
As we can see in the graph, it is sin graph and the maximum value it attends is 15(=70-55)
And the minimum value is attends is -15(=40-55)
The graph will be:
y = 15sinx
a = 15
Thus, the amplitude of the function is 15 if the data approximates a transformation of the parent sine function option (D) is correct.
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Identify the asymptotes of the rational function.
1
6x-6
-5
The rational function has a horizontal asymptote at y = 0.
To identify the asymptotes of the rational function, we need to analyze the behavior of the function as the input approaches certain values.
First, let's consider the vertical asymptotes. Vertical asymptotes occur when the denominator of the rational function equals zero, causing the function to become undefined.
Setting the denominator equal to zero:
6x - 6 = 0
Solving for x:
6x = 6
x = 1
Therefore, the rational function has a vertical asymptote at x = 1.
Next, let's examine the horizontal asymptote. To determine the horizontal asymptote, we compare the degrees of the numerator and denominator.
The degree of the numerator is 0 (a constant), and the degree of the denominator is 1 (linear). Since the degree of the denominator is greater than the numerator, the horizontal asymptote is at y = 0 or the x-axis.
Therefore, the rational function has a horizontal asymptote at y = 0.
In summary, the rational function has a vertical asymptote at x = 1 and a horizontal asymptote at y = 0 (the x-axis).
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The moon has a radius of 1738 km. Find the surface area to the nearest tenth. Use 3.14 for pie
Answer:
surface area = 4πr² = 4(3.14)(1738²) = ? (something like 37, 939,290 km²)
My calculator will not go that high
Step-by-step explanation:
surface area = 4πr² = 4(3.14)(1738²) =
What S the value of x?
Enter
your answer in the box.
X :
write down all prime numbers between 20 and 40
Answer:
23,29,31,37
Step-by-step explanation:
How many positive integer values of x are solutions to the inequality 10 < -x + 13?
9514 1404 393
Answer:
2
Step-by-step explanation:
The solution to the inequality is ...
10 < -x +13
x < 3 . . . . . . . add x-10 to both sides
The additional restriction that x is positive makes this ...
0 < x < 3
The only integer solutions to this are x = 1 and x = 2.
There are two (2) positive integer values of x that are solutions.
Answer:
2
Step-by-step explanation:
We first solve the inequality:
10 < -x + 13
-3 < -x
3 > x.
The only positive integers less than 3 are 1 and 2, for a total of 2 solutions.
QUESTION: Find the value of "A'' in the set of the supplementary angles... if you dont know dont answer i will give brainlist for it
Answer:
the picture isnt loading. it says error.
Step-by-step explanation:
Brainlyest FOR BEST ANSWER thank u
Answer: B
Step-by-step explanation:
To calculate the mean (average) of a list of numbers, simply add up the numbers and divide by the number of numbers
simplify the following
(4x + 3) (5x + 2)
Answer:
20x^2+23x+6
Step-by-step explanation:
(4x+3)(5x+2)
(4x)(5x)+2(4x)+(5x)3+3(2)
20x^2+8x+15x+6
20x^2+23x+6
Hope that helps :)
Answer:
20x^2 + 23x + 6
Step-by-step explanation:
4x (5x + 2) + 3(5x + 2)
20x^2 + 8x + 15x + 6
20x^2 + 23x + 6
LOOK AT THE PHOTO PLS
Answer:
I'm think its parallel ||
Does (1, 10) make the inequality y > 2x + 7 true?
yes
no
Answer:
Yes.
10 > 9
Step-by-step explanation:
This inequality is true because 10 is greater than 9.
y > 2x + 7
10 > 2(1) + 7
10 > 2 +7
10 > 9
If you borrow $500 for 6 years at an interest rate of 9%, how much interest will you pay?
A clothing retailer is gathering data on the amount of time each customer spends shopping in its stores. Each location collected 20 pieces of data and will compile that data to determine a population mean. One location has a sample mean of 32.5.
Which statement must be true about this situation?
A.
The population mean is also 32.5.
B.
There is not enough information to make a conclusion about the population mean.
C.
The population mean must be greater than 32.5.
D.
The population mean must be less than 32.5.
Answer:
B
Step-by-step explanation:
write 9/6 as a mixed number
9/6 can be written as the mixed number 1 1/2.
This means there is 1 whole unit and 1/2 (or half) remaining.
To write 9/6 as a mixed number, we need to divide the numerator (9) by the denominator (6).
When we divide 9 by 6, we get a quotient of 1 and a remainder of 3.
So, 9 divided by 6 is 1 with a remainder of 3.
We can express this as a mixed number by combining the whole number and the fraction:
1 + 3/6
However, the fraction 3/6 can be simplified. Both the numerator and denominator share a common factor of 3.
Dividing both by 3 gives us:
1 + 1/2
Now, we have the whole number part (1) and the proper fraction part (1/2).
Putting it all together, the mixed number representing 9/6 is: 1 1/2
Therefore, 9/6 can be written as the mixed number 1 1/2.
This means there is 1 whole unit and 1/2 (or half) remaining.
So, 9/6 as a mixed number is 1 1/2.
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How bad is the heavy traffic? You can walk 15
miles in the same time that it takes to travel 30
miles by car. If the car's rate is 2 miles per
hour faster than your walking rate, find the
average rate of each.
Answer:
Average rate of car: x+3
Walking rate: x
The equation is
10/15 = x/x+3
So
x = 6
So
Average rate of car: 9 mph
Walking rate: 6 mph
Step-by-step explanation:
Answer:
Average rate of car: 9 mph
Walking rate: 6 mph
Step-by-step explanation:
Find the range for the data. 1480, 1375, 1285, 1740, 1195, 1785, 1710, 1725, 1355, 1890, 1455
Answer:
The range of the data value is 695.
Step-by-step explanation:
Please mark me brainlliest!
Answer:
695
Step-by-step explanation:
Range is the difference between the largest and smallest value.
1480, 1375, 1285, 1740, 1195, 1785, 1710, 1725, 1355, 1890, 1455
1890 - 1195
695
write an expression for the quotient of 9 and c
Answer:
[tex]\frac{9}{c}[/tex]
Step-by-step explanation: