Divide Total time into two Time Periods. A regular Demand and a High Demand Time Period. Since 75% of the 1,200 calls occur between 9:30 am and 3:30 pm. We multiply .75 x 1,200 to get 900. We get an average of 900 calls every day between the hours of 9:30 am and 3:30 pm – Our net time for this time period is 6 hours.
Therefore, 6 Hours/900 becomes our quotient
Again, since the denominator is larger we invert it to 900 calls/6 Hours
To get a demand of 150 calls per hour.
We need to be able to handle 150 calls per hour.
So how Many Call Representatives are needed?
Again, our historical data tells us that each person can handle 10 calls an hour.
Therefore 150 calls per hour /10 Minutes = 15 Customer Service Representatives are needed during Peak Time!
Now, Subtract the Peak Hours from the 21 Hours Net Time Per day, gives us 15 Non-Peak hours we have to staff.
The diameter of a circle is 2 feet. What is the circle's area?
Of all of the individuals who develop a certain rash, suppose the mean recovery time for individuals who do not use any form of treatment is 30 days with standard deviation equal to 8. A pharmaceutical company manufacturing a certain cream wishes to determine whether the cream shortens, extends, or has no effect on the recovery time. The company chooses a random sample of 100 individuals who have used the cream, and determines that the mean recovery time for these individuals was 28.5 days. Does the cream have any effect
Answer:
z(s) is in the rejection region. We reject H₀. We dont have enought evidence to support that the cream has effect over the recovery time
Step-by-step explanation:
Sample information:
Size n = 100
mean x = 28,5
Population information
μ₀ = 30
Standard deviation σ = 8
Test Hypothesis
Null Hypothesis H₀ x = μ₀
Alternative Hypothesis Hₐ x < μ₀
We assume CI = 95 % then α = 5 % α = 0,05
As the alternative hypothesis suggest we should develop a one tail-test on the left ( we need to find out if the cream have any effect on the rash), effects on the rash could be measured as days of recovery
A z(c) for 0,05 from z-table is: z(c) = - 1,64
z(s) = ( x - μ₀ ) / σ/√n
z(s) = ( 28,5 - 30 ) / 8/√100
z(s) = - 1,5 * 10 / 8
z(s) = - 1,875
Comparing z(s) and z(c)
|z(s)| < |z(c)| 1,875 > 1,64
z(s) is in the rejection region. We reject H₀. We dont have enought evidence to support that the cream has effect over the recovery time
A single-server waiting line system has an arrival pattern characterized by a Poisson distribution with 3 customers per hour. The average service time is 12 minutes. The service times are distributed according to the negative exponential distribution. The average time a customer can expect to wait in line is:
Answer:
18 minutes
Step-by-step explanation:
Given that:
The arrival time = 3 customers / hour
The avg. service rate (s) = 12 minutes per customer
To hour, we have:
[tex]s = \dfrac{60}{12}[/tex]
s = 5 customers/ hour
Thus, the required average time for a customer needs to wait in line is:
[tex]= \dfrac{3}{5}\times (5-3) hours \\ \\ = \dfrac{3}{5}\times 2 \\ \\ = \dfrac{3}{10} \ hours[/tex]
To minutes;
[tex]= 3 \times \dfrac{60}{10} \ minutes[/tex]
= 18 minutes
I WILL GIVE BRAINIEST IF ANSWERED WITH CLEAR EXPLANATION AND ANSWERS.
Find the area of each figure. Round your answer to 2 decimal places if required. (Use = 3.14 if needed)
Answer:
285 ft²
Step-by-step explanation:
Hello There!
The figure shown is a composite figure so in order to find the total area we are going to need to split the irregular figure into two regular figures:
A parallelogram with the following dimensions
base = 15
height = 7
and a trapezoid with the following dimensions
base 1 = 11
base 2 = 13 (found by subtracting the height of the parallelogram ( 7 ) from the total height of the composite figure ( 20 ) 20 - 7 = 13 so the length of base 2 is 13 ft)
height = 15
Now that we have identified each dimensions of the two regular figures we need to find the area of each individual figure
For the parallelogram
The area of a parallelogram can simply be found by multiplying the height and the base
So A = 15 * 7
15 * 7 = 105 so the area of the parallelogram is 105 square feet
For the Trapezoid
The area of a trapezoid can be found by using this formula
[tex]A=\frac{a+b}{2} h[/tex] where a and b = bases and h = height
So using the information that we had found about the trapezoids dimensions we plug in the values
[tex]A=\frac{11+13}{2} 15\\11+13=24\\\frac{24}{2} =12\\12*15=180[/tex]
So the area of the trapezoid is 180 square feet
Finally we add the areas of the two regular figures
180 + 105 = 285
so we can conclude that the area of the composite figure is 285 ft²
What is the discriminant of 3 x squared minus 10 x = negative 2?
76
94
106
124
Answer:
76
Step-by-step explanation:
The discriminant is [tex]b^{2} - 4ac[/tex] part of the quadratic formula.
a term is 3
b term is -10
c term is 2 (add it to the side of the 3 x squared minus 10 x)
Plug the values in!
(-10)^squared - 4(3)(2)
100-24 = 76
Answer:
76
Step-by-step explanation:
on edge
What is the location of point A? (5,-8) (-8,5),(8,-5) (-5,8)
Answer: Dude the answer is (-5,8).
Step-by-step explanation:
Mark me brainliest please since I have the real answer.
Find the value of x.
help please !
Answer:
33
Step-by-step explanation:
The sum of the three interior angles in a triangle is ALWAYS equivalent to 180 degrees.
69 + 78 = 147
180 - 147 = 33
Hope this is helpful & accurate! Best wishes.
Am I correct? I put
Answer:
yes
Step-by-step explanation:
Name:
L153
Mean Absolute Deviation
Find the mean absolute deviation of each set of data. Round your answer to two decimal
places.
1) 61, 87, 46, 79,53, 46
2) 9, 2, 1, 3
Absolute
Absolute
Data Mean Difference
Data Mean
Value
Difference
Value
Answer:
amen
Step-by-step explanation:
amen you shall pass
What is the missing length?
The data reflects the number of days since a plant has
been transplanted (x), paired with the plant height (y).
How can the y-intercept of the line be interpreted?
y
O Every 0.07 days the plant grows 0.81 inches.
O Every 0.81 days the plant grows 0.07 inches.
O Initially, the plant had a height of 0.07 inches.
O Initially, the plant had a height of 0.81 inches.
14
y = 0.81.x + 0.07
12 +
10
8
Growth (inches)
2
4
G
8
10
12 14
16
18
20
Number of Days
Answer:
I think its b. Every 0.81 days the plant grows 0.07 inches.
Step-by-step explanation:
i took the same test on egd.
Answer:
c. Initially, the plant had a height of 0.07 inches.
Step-by-step explanation:
EDGE 2023
What is the value of d and w?
Answer:
d = 65
w = 55
Step-by-step explanation:
w + 90 + 35 = 180
w + 125 = 180
w = 55
35 + x = 60 (Vertical angle thm)
x = 25
d + x = 90
d + 25 = 90
d = 65
Joe has a goal to practice his clarinet for 4 1/2 hours per week the list below shows the number of hours does practice this week so for Monday one and a half Wednesday 1 1/4 Thursday one how many more hours does Joel need to practice this week to meet his goal.
Answer:
0.75 hours more
_____ ÷ r × r = p
be fast :) easy point for who ever get it
Answer:
p
Step-by-step explanation:
lol question unclear
Answer:
p
Step-by-step explanation:
if you divide a number by a number and then multiply that same number by that number it is 1. so it is just __=p
Hope that helps :)
Solve the following quadratic equation 3×^2-5=0
PLEASE ANSWER EXTRA POINTS AND NAMED BRAINLIEST

Answer:
5,8 8,3
Step-by-step explanation:
hoped this helped <33
Solve x + 19 = 47.
Select one:
x = 893
x = 66
x = 28
x = 18
the answer is 28 hoped that helped
Answer:
x=28 (B)
Step-by-step explanation:
x = 28 (B)
You need to subtract 19 from both sides to get 28.
a reflection across y=2
HELP DUE VERY SOON
Answer:
n' = (-5,2) k' = (-1,1) t' = (-5,0)
Step-by-step explanation:
Write the following numeral in words.
616 845
Answer:
six hundred sixteen thousand eight hundred forty five
Step-by-step explanation:
Answer: Six hundred sixteen thousand eight hundred fourty five
!!TIP: To write numbers in letters, its spelled the same as the letters would have been said for example 66 - sixty six.
guys thank you for everyone who has helped me im almost done
Answer:
y = 4
y = 7
x = 6
Hope that helps! :)
Step-by-step explanation:
Biased or Random?
Michael wants to determine the amount of time that 7th graders spend studying for tests. He surveys 80 7th grade students as they get to school.
3. Solve the system for x and y. 7x+8y= 26 -12X-7y=-58
9514 1404 393
Answer:
(x, y) = (6, -2)
Step-by-step explanation:
My favorite fast and easy way to solve pairs of linear equations is to use a graphing calculator. The one below shows the solution to be ...
(x, y) = (6, -2)
__
There is no simple way to use substitution or elimination on these equations, so we elect to use the "cross multiplication method." First, we write the equations in "general form", then write the coefficients in two rows, repeating the first coefficient.
7x +8y -26 = 0
12x +7y -58 = 0
__
[tex]\left[\begin{array}{cccc}7&8&-26&7\\12&7&-58&12\end{array}\right][/tex]
The method gets its name from this next step: compute the difference of cross products of pairs of adjacent columns.
d1 = (7)(7) -(12)(8) = -47
d2 = (8)(-58) -(7)(-26) = -282
d3 = (-26)(12) -(-58)(7) = 94
The solution to the equations is given by ...
1/d1 = x/d2 = y/d3 ⇒
x = d2/d1 = -282/-47 = 6
y = d3/d1 = 94/-47 = -2
The solution is (x, y) = (6, -2).
_____
Additional comment
If you watch videos on this solution method you will notice the 2×4 array of coefficients is formulated slightly differently, and the final equation has the 1/( ) term at the right end of the series of equalities. We judge this variation to be less confusing and easier to remember. YMMV
The work involved in using this method is 6 multiplies, 3 adds, and 2 divides. We believe that is less work than either substitution or elimination when there is no simplification possible.
3(4c + 5) = (3.4c) + (3.5) is an example of which property
a) Commutative property
b) Distributive property
c) Inverse Operation property
d) Multiplication property
Answer: B) Distributive property
Step-by-step explanation:
Definition:
- Commutative property: a+b=b+a
- Distributive property: a(b+c)=ab+ac
- Inverse operation property:
In Addition: a+(-a)=0In Multiplication: a×(1/a)=1- Multiplication property: If a=b, a×c=b×c
Solve:
GIven
3(4c+5)=(3·4c)+(3·5)
This is distributive property because it is distributing 3 to each of the numbers in the parenthesis.
Hope this helps!! :)
Please let me know if you have any quesitons
F’(x)= 1+3 square root x f(9)=68
Answer:
[tex]f(x) = x + 2x^\frac{3}{2} + 5[/tex]
Step-by-step explanation:
I'm assuming the question here is asking for f(x)
The first step would be to find the antiderivative of f'(x)
[tex]\int{1+3\sqrt{x}} \, dx = \int{1 + 3x^\frac{1}{2}} dx[/tex]
Apply the reverse power rule
[tex]x + 2x^\frac{3}{2} + C[/tex]
Now solve for C when x = 9
[tex]x + 2x^\frac{3}{2} + C = 68\\9 + 2(9)^\frac{3}{2} + C = 68\\9 + 2(27) + C = 68\\9 + 54 + C = 68\\63 + C = 68\\C = 5[/tex]
Now substitute into the antiderivative
[tex]f(x) = x + 2x^\frac{3}{2} + 5[/tex]
Unit 2 Exam
Rabbit populations can double every 30
days. If there are 26 rabbits on a farm,
how many rabbits will be on the farm
after 240 days?
First, complete the equation:
Future Amount = 26(1+1)
Answer:
6,656 rabbits
Step-by-step explanation:
Population of rabbits = 26
Population doubles every 30 days
how many rabbits will be on the farm after 240 days?
t = 240 days / 30 days
= 8
Future Amount = 26(2)^t
=26(2)^8
= 26(256)
= 6,656
Therefore, the population of rabbits on the farm after 240 days is 6,656
Please help!!!!! ASAP it’s a checkpoint
Answer:
Option A. x = –5 ± √133 / –6
Step-by-step explanation:
0 = –3x² + 5x + 9
From the above equation the following data were obtained:
Coefficient of x² (a) = –3
Coefficient of x (b) = 5
Constant (c) = 9
Using formula method, the solution to the equation can be obtained as follow:
x = –b ± √(b² – 4ac) / 2a
a = –3
b = 5
c = 9
x = –5 ± √(5² – 4 × –3 × 9) / 2 × –3
x = –5 ± √(25 + 108) / –6
x = –5 ± √133 / –6
Thus, option A gives the correct answer to the question.
Hurry only 5 minutes to answer!!!!!!!!!!!!!1111
Order the specified numbers from smallest to biggest.
Answer:
-12, -3/4, -0.4, 0.4, 3/4, 8
Step-by-step explanation:
if QS= 13 and RS= 12 what is the length of QR
is my answer correct?
Answer:
yes, it is correct i don't know what else to type i need to type atleast 20 characters to answer
Look at this square. Find the value of s.
Perimeter = 4 kilometers
S =
kilometers
Answer:
equivale 15. kilómetros. te lo aseguiro