Answer:
Retail Division $74,115
Commercial Division $200,385
Step-by-step explanation:
Calculation to determine How much should each division be charged for computer technology department services
RETAIL DIVISION
Using this formula
Retail Division=(Expense/Total Number of hours)*Retail Division Number of hours used
Let plug in the formula
Retail Division=($274,500 / 18,300 hrs)*4,941 hours
Retail Division=15*4,941 hours
Retail Division=$74,115
COMMERCIAL DIVISION
Using this formula
Commercial Division=(Expense/Total Number of hours)* Commercial Division Number of hours used
Let plug in the formula
Commercial Division=($274,500 / 18,300 hrs)* 13,359 hours
Commercial Division=15* 13,359 hours
Commercial Division=$200,385
Therefore The amount that each division should be charged for computer technology department services is:
Retail Division $74,115
Commercial Division $200,385
what is the gradient of a line perpendicular to a line with a gradient of ½
Answer:
-2.
Step-by-step explanation:
m1 = -1/m if the 2 gradients are perpendicular,
So that would be -1 / (1/2)
= -2.
A class of 20 students is visiting the fair today. Each student is 16 years old or younger and will participate in either the pie eating contest or the chili
cookoff. If all 20 students joined the same event, how would the shape of the histogram change compared to the original?
A. The Chili Cook-off would be more skewed.
B. The Pie Eating Contest would be more skewed
C. The Chili Cook-off would be more symmetrical.
D. The Pie Eating Contest would be less symmetrical.
Answer:
I am doing this question right now once I submit I will come back and tell you
Step-by-step explanation:
If all 20 students joined the same event, the shape of the histogram will change as compared to the original. A.) The Chili Cook-off would be more skewed and D.) The Pie Eating Contest would be less symmetrical.
What is a skewed histogram?If most of the data are on the left side of the histogram but a few larger values are on the right, the data are said to be skewed to the right.If most of the data are on the right, with a few smaller values showing up on the left side of the histogram, the data are skewed to the left.If 20 students get added to the 0-19 age group in Chili Cookoff contest, the frequencies of the number of students would be 50, 50, 40, 10. Since, the frequencies are decreasing with increasing age group, the histogram is skewed.
What is symmetric histogram?
If the data are symmetric, histogram have about the same shape on either side of the middle. In other words, if you fold the histogram in half, it looks about the same on both sides.
If we add 20 to the 0-19 age group in Pie eating contest, the frequencies of the number of students would be 40, 40, 60, 50. Since the frequencies are monotonically increasing and then decreasing, the histogram is symmetrical but it doesn't look exactly same on either side.
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A large tank is filled to capacity with 700 gallons of pure water. Brine containing 4 pounds of salt per gallon is pumped into the tank at a rate of 7 gal/min. The well-mixed solution is pumped out at a rate of 14 gallons/min. Find the number A(t) of pounds of salt in the tank at time t.
Answer:
[tex]A(t) = 1400(1 - e^{\frac{-t}{50}})[/tex]
Step-by-step explanation:
The net mass flow rate dA/dt = mass flow rate in - mass flow rate out
mass flow rate in = concentration of brine in × brine flow rate in = 4 lb/gal × 7 gal/min = 28 lb/min
Let A(t) be the amount of salt at time t. The concentration of salt in the tank at time, thus C = amount of salt/volume of tank = A(t)/700 lb/gal.
Since the well mixed solution is pumped out at a rate of 14 gal/min, the mass flow rate out = concentration of salt in tank × volume flow rate out = A(t)/700 lb/gal × 14 gal/min = m(t)/50 lb/min
So, dA/dt = mass flow rate in - mass flow rate out
dA/dt = 28 lb/min - A(t)/50 lb/min
dA/dt = 28 - A(t)/50
dA/dt = [1400 - A(t)]/50
separating the variables, we have
dA/[1400 - A(t)] = dt/50
integrating both sides, we have
∫dA/[1400 - A(t)] = ∫dt/50
-1/-1 × ∫dA/[1400 - A(t)] = ∫dt/50
1/-1 × ∫-dA/[1400 - A(t)] = ∫dt/50
-1 × ㏑[1400 - A(t)] = t/50 + C
-㏑[1400 - A(t)] = t/50 + C
㏑[1400 - A(t)] = -t/50 - C
taking exponents of both sides, we have
[tex]1400 - A(t) = e^{\frac{-t}{50} - C} \\1400 - A(t) = e^{\frac{-t}{50}}e^{-C}\\1400 - A(t) = Be^{\frac{-t}{50}} ( B = e^{-C}) \\A(t) = 1400 - Be^{\frac{-t}{50}}[/tex]
when t = 0, A(0) = 0. So,
[tex]A(t) = 1400 - Be^{\frac{-t}{50}}\\A(0) = 1400 - Be^{\frac{-0}{50}}\\0 = 1400 - Be^{0}\\0 = 1400 - B\\B = 1400[/tex]
So,
[tex]A(t) = 1400 - 1400e^{\frac{-t}{50}}\\A(t) = 1400(1 - e^{\frac{-t}{50}})[/tex]
A study of color in tiger beetles is conducted to gain evidence to support the contention that the proportion of yellow beetles may vary from locality to locality. A sample of 500 beetles caught in one season near East Setuket, NY, yielded 92 yellow ones. A catch of 251 from Queens, NY, contained 14 yellow individuals. What distribution can be used to derive the exact sampling distribution for proportion of yellow tiger beetles
Answer:
Binomial distribution
Step-by-step explanation:
Each tiger:
For each tiger, there are only two possible possible outcomes. Either it is yellow, or it is not. The probability of a tiger being yellow is independent of any other tiger. This means that the binomial probability distribution is used to solve this question.
it says i'm wrong, but i don't see why. could someone explain it? (or maybe the system's just incorrect)
Answer:
i think the answer should be 4y(m+3)/a^2
Step-by-step explanation:
What is the volume in cubic cm for a rectangular prism with length 10 cm, width 4 cm and height 10 cm?
F 400
G 40
H 24
J 100
Answer: 400
Step-by-step explanation: L x W x H
10 x 4
40 x 10
400
Can you mark brainliest if this is right?
Seventeen percent of U.S. residents are in their thirties. Consider a group of nine U.S. residents selected at random. Find the probability that three or four of the people in the group are in their thirties.
Answer:
0.1764
Step-by-step explanation:
This problem meets requirement that enables us to use the binomial probability relation :
Probability of success, p = 17% = 0.17
number of trials = 9
(1 - p) = 1 - 0.17 = 0.83
The binomial probability relation :
P(x = x) = nCx * p^x * (1 - p)^(n-x)
P(x = 3) = 9C3 * 0.17^3 * 0.83^6
P(x = 3) = 84 * 0.001606258054361897
P(x = 3) = 0.134925676566399348
P(x = 3) = 0.13492
P(x = 4) = 9C4 * 0.17^4 * 0.83^5
P(x = 4) = 126 * 0.000328992613544003
P(x = 4) = 0.041453069306544378
P(x = 4) = 0.04145
P(x = 3 or x = 4) = P(x = 3) + p(x = 4)
= 0.13492 + 0.04145
= 0.17637
= 0.1764
One plumber charges a flat fee of $50 to come to the house and then
$20 per hour. If h represents the number of hours that the plumber spent
fixing the problem and C represents the total charge, which of the following
equations shows how to determine the total fee charged?
C=50+20h
C=(50+20)h
C=h+50+20
C=20+50h
Answer:
C=50+20h
Step-by-step explanation:
Since 20 is going to be added every hour, that is the h value. Since 50 is the the initial payment, that is the other value
The equation for total fees charged, if One plumber charges a flat fee of $50, The per hour fees = $20, is C = 50 + 20h, so option A is correct.
What is equation?A formula known as an equation uses the equals sign to denote the equality of two expressions. Equation: A declaration that two expressions with variables or integers are equal.
Given:
One plumber charges a flat fee of $50,
The per hour fees = $20,
Write the equation for the total charged fees as shown below,
Total charge = One-time fees + per-hour fees × number of hours
Assume C represents the total charge, h represents the number of hours, then,
C = 50 + 20 × h
C = 50 + 20h
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maeve painted 25% of the wall. jonathan painted 1.5 times as much as the wall maeve painted. what fraction of the entire wall did maeve and jonathan paint
Answer:
37.5x
Step-by-step explanation:
Choose the median of the following data.
4,9, 9, 8, 10
A) 4
B) 9
C)8
D) 10
Answer:
Option B
Step-by-step explanation:
The median is the middle in a list of sorted nunbers, so it would be 9 in this case.
Find the area of a circle with a radius of 21 inches.
Answer:
A≈1385.44in²
Step-by-step explanation:
A=πr2=π·212≈1385.44236in²
Answer:
1384.74 inches.
Step-by-step explanation:
The formula for area of a circle is:
[tex]a=\pi *r^2(3.14*radius*radius)[/tex]
[tex]\pi =3.14, r=radius.[/tex]
According to the word problem, the radius of the circle is 21 inches.
Now, we can just plug the numbers into the formula.
[tex]\pi *21^2(3.14*21*21)=1384.74[/tex]
Therefore, the area of the circle is 1384.74 inches.
WILL MARK BRAINLIEST PLS HELP
Answer:
64
Step-by-step explanation:
A square has 4 equal sides so all you have to do is divide 4 by 256. 256/4 is equal to 64. Therefore, the answer is 64 paving stones.
If this has helped please mark as brainliest
Which two triangles are congruent? Complete the congruence statement.
Answer:
ΔSTU ≅ ΔBDC
Step-by-step explanation:
In ΔSTU and ΔBDC,
∠S ≅ ∠B [Given]
∠T ≅ ∠D [Given]
SU ≅ BC [Given]
Since, two corresponding angles and non included side of the angles are equal in measure.
Therefore, ΔSTU ≅ ΔBDC [By AAS property of congruence]
Find the measure of the angles
Step-by-step explanation:
Make sure the bottom line of the angle points to 0. Then slowly go up until the other line hits a number. In this case, it's 40 degrees
Can y’all help me with this question
Answer:
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Step-by-step explanation:
Need some help with these questions ASAP please
Use Green's Theorem to evaluate the line integral along the given positively oriented curve. C yex dx 2ex dy, C is the rectangle with vertices (0, 0), (3, 0), (3, 2), and (0, 2)
Answer:
2 ( e^3 + 1 )
Step-by-step explanation:
The path of the attached Rectangle is anti-clockwise
and the Integrand: P( x, y ) dx + q ( x , y ) dy
P( x, y ) = ye^x
q ( x , y ) = 2ex
hence : dq/dx - dp/dy = 2e^x - e^x = e^x
attached below is the remaining solution
using Green's theorem
What is the name for the total area of the surface of a solid?prism area net area surface area facial area
Answer:
Surface Area
Step-by-step explanation:
You are calculating the measurements for the surface of the prism. The interior is volume.
Answer:
Surface Area
Step-by-step explanation:
ANSWER ASAP DONT SEND A FILE. IS THIS SHAPE A ROTATION, REFLECTION,TRANSLATION, DILATION OR NONE????
Answer:
rotation
Step-by-step explanation:
There are 20 bears in a zoo. What will be their population after 3 years, if the population doubles each year?
Answer:
160
Step-by-step explanation:
20 x 2 = 40
40 x 2 = 80
80 x 2 = 160
It stops at 3 years.
Answer:
120
Step-by-step explanation:
20+40+60 = 120
If we double it, we have to keep adding 20 each year and stop at 3 so the answer is 120
Three friends went to a fundraiser at a local restaurant. Each plate cost $7.95, which included a drink. A tip of 20% was left for the waitress. How much was the total cost of the meals including tip?
A.$23.85
B. $24.05
C. $28.62
D. $29.65
Answer:
C. $28.62
Step-by-step explanation:
3 · $7.95 = $23.85
[tex]\frac{y}{23.85} :\frac{20}{100}[/tex]
y · 100 = 20 · 23.85
100y = 477
100y ÷ 100 = 477 ÷ 100
y = $4.77
$23.85 + $4.77
$28.62
Which is larger?Helppp
HELP HELP HELP HELP PLZZZZZZZ
Answer:
Step-by-step explanation:
So, lets just go by segment to segment, using the process of elimination to see which graph is correct.
So the first segment of all the graphs is 18-19.9.
Lets look at the numbers given to us, and see how many times values between these two numbers occur. I see 19.9 and 18.6. This is two values.
This eliminates answer C, which has three values(a frequency of 3).
All the others have 2 values however, so lets keep going.
Next we have 20-21.9. I see 9 values that are in between 20-21.9:
20.7, 21.2, 20.5, 20.4, 21.6, 21.4, 21.5, 21.5, 21.9
Both B and D have graphs with 9 values that are between 2-21.9, however A only has 8 values.
Now lets look at 22-23.9. I see 8 values between 22-23.9:
22.2, 22.7, 22.1, 23.1, 23.8, 22.6, 23.9, 23.4
This eliminates D, which only has 7 values, but B does have 8 values.
So this means that B is the answer!
Hope this helps!
IF a man converted Rs.150000 into pound sterling.
After one week Nepalese rupees devalued by 5% then find
the he has profit or loss. ( 1 pound sterling = Rs.77.02)
Answer:
The man has made a profit, for with the same money he bought more British Pounds than he could have bought a week later.
Step-by-step explanation:
Given that a man converted Rs. 150000 into pound sterling, and after one week Nepalese rupees devalued by 5%, to find if you have obtained a profit or a loss, the following calculation must be performed:
150,000 / 77.02 = X
1,947.55 = X
150,000 / (77.02 x 1.05) = X
150,000 / 80.87 = X
1,854.82 = X
Therefore, the man has made a profit, for with the same money he bought more British Pounds than he could have bought a week later.
Which of the following operations could you perform on both sides of the
given equation to solve it? Check all that apply.
9x+ 5 = 5x + 21
O A. subtract 16
B. divide by 9
O C. divide by 4
D. subtract 5
O
E. divide by 3
F. subtract 5x
No
Answer:
C, D and F
Step-by-step explanation:
Procedure:
9x+5=5x+21
4x+5=21 (subtract 5x)
4x=16 (subtract 5)
x=4 (divided by 4)
Coach Dom took the football team out for pizza. He bought 6 pies at $6.35 each. He left a 18 % tip. How much did Coach Dom spend in all?
Answer: $44.96
Step-by-step explanation:
6 × 6.35 = 38.1
38.1 × .18 = 6.86
38.1 + 6.86 = 44.96
I really really need help guys!
Answer:
area of the figure=1/2×16×7
=56 m²
{3x+y=7{-2x+y=-3 please
Answer:
x=[tex]\frac{4}{5}[/tex]
y=[tex]\frac{23}{5}[/tex]
Step-by-step explanation:
Look at the pictures!
PLS HELP!! need the answer asap
Answer:
8
Step-by-step explanation:
[tex]\angle RPS = 3x + 12,\ \angle QPR = 7x + 88\ =>\ \angle QPS = 3x + 12 + 7x + 88 = 180[/tex]
[tex]3x + 12 + 7x + 88 = 180[/tex]
[tex]10x + 100 = 180[/tex]
[tex]10x = 80[/tex]
[tex]x = 8[/tex]
HELP WILL GIVE RIGHT ANSWER 100 POINTS
The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours:
A graph titled Motion of a Dragonfly shows Time in hours on the x axis and Distance in miles on the y axis. The scale on the x axis shows number from 0 to 10 at increments of 2, and on the y axis, the numbers are shown from 0 to 220 at increments of 44. A straight line joins the ordered pairs 0, 0 and 2, 44 and 4, 88, and 6, 132
Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly travel in 24 hours if it continues to fly at the same speed?
The dependent variable is time, the equation is y = 22x, and the dragonfly will travel 528 miles.
The dependent variable is time, the equation is x = 22y, and the dragonfly will travel 1,056 miles.
The dependent variable is distance, the equation is y = 22x, and the dragonfly will travel 528 miles.
The dependent variable is distance, the equation is x = 22y, and the dragonfly will travel 1,056 miles.
Answer: 6
6b+9y=0 then divide
Step-by-step explanation: