20. Two employees of a company have to file expense reports for their travel. The first had taken 7 trips with a mean trip cost of $750. The second took a total of 5 trips with a mean cost of $1200. The accounting department wants to determine the mean cost of all the trips that these two employees took. What is the mean cost of all 12 trips? Proposed Solution: Since we have two costs (one for each employee) we can find the mean cost of both employees by the following computation: (750 + 1200) / 2 = 975 What was done wrong in the proposed solution?

Answers

Answer 1

Since there are 7 trips with a mean cost 750 and 5 trips with mean cost 1200, the calculation should be [tex](7\times 750+5\times 1200) \div 12[/tex]

The calculation is as follows:

We know that

Mean cost =  Total cost ÷  total number of trips

Here, Total number of trips(observation ) =  7+5 = 12

Total cost = total cost of two employees

total cost of first employee = [tex]7\times 750[/tex]

And, total cost of second employee = [tex]5\times 1200[/tex]

So,

Mean cost of 12 trips = [tex](7\times 750+5\times 1200) \div 12[/tex] = 937.50

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Related Questions

Write the ratio in simplest form for area of pool/ area of yard

Answers

Answer:

Option (C)

Step-by-step explanation:

From the map attached,

Area of the rectangular yard = length × width

Length of the yard = 10 units

Width of the yard = 8 units

Area = 10 × 8

        = 80 square yards

Since, pool is a composite figure of two rectangles,

Therefore, area of the pool = Area of large segment + Area of the small pool

= (5 × 6) + (3 × 3)

= 30 + 9

= 39 square units

Ratio of Area of the pool and area of yard = [tex]\frac{39}{80}[/tex]

Therefore, Option (C) will be the answer.  


What is 450,000,000 written in scientific
notation?

Answers

here is the scientific notation.

The sales tax on a used car priced at $4600 is $409.40. What is the sales tax rate?

Answers

Answer:

8.9%

Step-by-step explanation:

sales tax rate (in percentage) = 409.40÷4600*100=8.9%

What is the equation to the expression -2-3(-4)?​

Answers

Answer:

c) -1

Step-by-step explanation:

-2-3-(-4)

=-5+4

=-1

Who can get it right?
I had £3.00.
My Mom gave me £10.00.
My Dad Gave me £30.00.
My Aunt & Uncle gave me £100.00.
I had another £7.00.
How much did I have?
Right answer will get deleted.
I won against Laura leadbetter​

Answers

the answer is 150 dollars

Step-by-step explanation:

I know this because you add

We want to perform a sum of various values. We will find that the total amount of money that you have is £150.00

We know that:

You initially have £3.00.Your Mom gives you £10.00.Your Dad gives you £30.00.Your Aunt & Uncle given you £100.00.You had another £7.00.

So the total amount of money that you have is the sum of all these values, we will get:

£3.00 + £10.00 + £30.00 + £100.00 + £7.00 = £150.00

Then the total amount that  you have is: £150.00

If you want to learn more, you can read:

https://brainly.com/question/19245500

If the revenue function for a particular commodity is R(p) = −53p2 + 64p, what is the (linear) demand function q(p)?

Answers

The Demand Function would be as follows:

[tex]Q = 64 - 53p[/tex]

What is Demand Function?

This shows the relationship between Price & Quantity, represents Quantity as a function of price.

Revenue is the total receipts from sale, with the formula [tex]= Price[/tex] × [tex]Quantity[/tex]

So,

[tex]Quantity = Revenue / Price[/tex]

Hence, dividing the given revenue equation by P, we get

[tex]Q = (- 53p^2 + 64p )[/tex][tex]/ pQ = - 53p + 64[/tex] {Demand Function}

So, above-mentioned [tex]Q = 64 - 53p[/tex] is the Demand Function.

To learn more about Demand Function, refer https://brainly.com/question/23029589?referrer=searchResults

13. In a park there are 1596 trees in 42 rows. If each row has the same number of trees, estimate the number of trees in one row, rounded off to the nearest tens.​

Answers

Answer:

The ultimate answer according to the question is is 40 trees in one row.

Step-by-step explanation:

Let no. of trees in one row be X.

There are 42 rows,

or, 42X= 1596

or, X= 1596/42

So, X=38

Now, while rounding off to the nearest ten 38 goes to 40.

if f(x)=2x-1, what does f(10) equal

Answers

Answer:

f(10) = 19

Step-by-step explanation:

f(x) = 2x - 1

To find f(10) substitute the value of x that's 10 into f(x). That is for every x in f (x) replace it with 10

We have

f(10) = 2(10) - 1

= 20 - 1

We have the final answer as

f(10) = 19

Hope this helps you

sound travels 1129 feet per second air. how far can sound travel in 2 seconds when traveling through hair

Answers

Answer:

Sound travels 2258 feet in 2 seconds while travelling through air.

Step-by-step explanation:

Sound travels 2,258 feet per 2 second. or .428 miles
or 27.097 inches
or 752.6667 yards

3g-9+11g-21 simplyfy

Answers

Answer:

=14g−30

Step-by-step explanation:

I hope this helps you

Answer:

14g - 30

Step-by-step explanation:

combine like terms

The width of a rectangular swimming pool is 12 meters less than the length, and the perimeter is 72 meters. Find its dimensions in meters

Answers

Answer:

The dimensions are 24 and 12 meters.

Step-by-step explanation:

W + L + W + L = 72   perimeter

(L-12) + L + (L-12) + L = 72

4L - 24 = 72

4L = 72 + 24 = 96  ====>  L = 96%2F4 = 24.

The dimensions are 24 and 12 meters.

If c + d = 16 and d = 6, what is c- d?

Answers

Answer:

4

Step-by-step explanation:

c+d=16

d=6

so c will be 10 as c+6=16

c=10

d=6

so c-d=10-6=4

hope it helps

si el perímetro del círculo es 10π,determina el perímetro del rectángulo​

Answers

The answer to this was the pie of the graph

2x +y when x= 3, y=1.

Answers

Answer:

I needed help on that question too

i guessing 7 because 2(3)+1. 6+1=7

The model at the right best represents what percent?

Answers

Answer:

hehe ily tacos hehehhee

Step-by-step explanation:

Answer:

65% out of 100%

Step-by-step explanation:

hope this helps! :)

how many cookies can be made with 12 eggs ​

Answers

Answer:

It varies depending on the measurements of the other ingredients that are being used.

Step-by-step explanation:


can someone help quickly

Answers

Answer:

your answer would be 9

a=9

Step-by-step explanation:

You are working to earn enough money for a vacation which costs 1200.0 dollars. Your take-home pay is $16.50/hour, but you only work 4-hour shifts each day. How many days will it take for you to earn enough money to pay for your vacation if all the money you earn goes towards your vacation

Answers

Answer:

It will take [tex]18\frac{2}{11} days[/tex] to earn enough money to pay for your vacation.

Step-by-step explanation:

From the question,

The total cost of the vacation is 1200.0 dollars, that is $1200.0

Also, you earn $16.50/hour but you only work for 4 hours each day.

First, we will determine how much you earn in a day.

If you work for 4 hours each day and earn $16.50 / hour; then the amount you earn in a day is

$16.50/hour × 4 hour

= $66.00

Hence, you earn $66.00 dollars each day.

Now, to determine the number of days it will take for you to earn enough money to pay for your vacation, that will be

The cost of the vacation divided by the amount earned each day

Cost of the vacation = $1200.0

Amount earned each day = $ 66.00

Hence, the number of days it will take for you to earn enough money to pay for your vacation is

$1200.0 / $66.00

= [tex]18\frac{2}{11} days[/tex] or 18.18 days

Hence, it will take [tex]18\frac{2}{11} days[/tex] to earn enough money to pay for your vacation.

Pls help... asappp pls.

Answers

85%
Explanation: if she does 20 each glass is worth 5% (because 100/20=5) if she broke 3, that’s 15% off, so that means her success rate is 85%

20+52x81/5 is the algebra question

Answers

Answer:

The first person said it before I did :( Well, good luck with your studies! Hope you have a great day!

From: iOE

Identify the lateral area and surface area of a right cone with a radius of 7 cm and a slant height of 15 cm. PLEASE HELP!!! A)L = 329.9 cm2 ; S = 373.9 cm2 B)L = 329.9 cm2 ; S = 483.8 cm2 C)L = 659.7 cm2 ; S = 483.8 cm2 D)L = 659.7 cm2 ; S = 813.6 cm2

Answers

Answer:

Step-by-step explanation:

a.  

L

=

329.9

c

m

2

;

S

=

373.9

c

m

2

.

b.  

L

=

659.7

c

m

2

;

S

=

483.8

c

m

2

.

c.  

L

=

659.7

c

m

2

;

S

=

813.6

c

m

2

.

d.  

L

=

329.9

c

m

2

;

S

=

483.8

c

m

2

.

Surface Area of a Cone:

In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.

The height of the cone is the length of a line segment that joins the base to the vertex of the cone.

The radius of the cone is the same as the radius of the base.

Surface area of a cone

(a) Lateral Surface Area

If  

l

and  

r

are the slant height and radius of a cone then its lateral surface area is given by the formula-

L

=

π

r

l

where  

L

is the lateral surface area of the cone

(b) Total surface area

It is the sum of the area of the circular base and the lateral surface area of the cone.

S

=

L

+

π

r

2

S

=

π

r

l

+

π

r

2

Where  

S

is the total surface area of the cone

Answer and Explanation:

Given that the radius and slant height of a right cone is  

7

c

m

and  

15

c

m

respectively

r

=

7

c

m

l

=

15

c

m

So the lateral surface area of the cone-

L

=

π

r

l

L

=

π

(

7

)

(

15

)

L

=

105

π

L

=

105

(

3.14159

)

L

=

329.866

L

329.9

c

m

2

And the total surface area of the cone-

S

=

L

+

π

r

2

S

=

329.9

+

π

(

7

)

2

S

=

329.9

+

49

(

3.14159

)

S

=

329.9

+

153.937

S

=

483.83

c

m

2

So the lateral area and total area of a right cone are  

329.9

c

m

2

and  

483.8

c

m

2

respectively.

Point Q (-2, -2) is translated according to this rule (x - 3, y + 4). Which directions will Point Q be translated?

Answers

Answer:

it would be translated up.

Step-by-step explanation:

(-2,-2)    (x-3, y+4)

-2-3= -5    -2+4= 2

      (-5,2)

100 POINTS!! ASAP - Please SHOW WORK!!

Answers

Answer:

h = 435.779 m

Step-by-step explanation:

Step 1: Define variables

∅ = 5°

Hypotenuse (the road) = 5000 meters

We need to find height (or the vertical leg on the triangle) = h

Step 2: Use trig

sin∅ = opposite over hypotenuse

sin5° = h/5000

Step 3: Evaluate

5000sin5° = h

h = 435.779 m

Answer:

the increase of altitude is 435.8 m

Step-by-step explanation:

see attached

inclined road at 5°

after driving 5000 along the end road.

find:

increase of altitude (h)

let Ф = 5°

road = hypothenuse

using the formula Sin Ф = h ÷ hypothenuse

Sin(5) =      h      

              5000

h = Sin (5) x 5000

h = 435.8 m

therefore,

the increase of altitude is 435.8 m

3
Simplify the following expression.
99 + 5 [15 – (17 - 6)]
O A.
229
ОВ.
119
OC.
163
Reset
Submit
2 of 10 Answere

Answers

Answer:

416 is your answer

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Answer:

119

Step-by-step explanation:

Following the order of operations as stated in PEMDAS

Given

99 + 5 [ 15 - (17 - 6) ] ← evaluate parenthesis

= 99 + 5 (15 - 11)

= 99 + 5( 4) ← evaluate multiplication

= 99 + 20 ← evaluate addition

= 119

HELP PRECALC WILL GIVE BRAINLIEST

Answers

Answer:

  [500, 600, 500]

Step-by-step explanation:

Your friendly local matrix reducer will tell you the last column should be ...

  500

  600

  500

__

Question
Daniel is planning a 6-night road trip. It will cost $310 for transportation, $275 for food, and $70 per night for a hotel room.
He has $745 in savings and can earn $20 per hour tutoring. How many hours must he tutor to have enough money to pay
for the trip?

Answers

Answer:

13 hours

Step-by-step explanation:

Given that Daniel will incur the following costs:

Transportation : $310

Food : $275

Hotel : $70 per night for 6 nights = $70 x 6 = $420

his total cost  = $ (310 + 275 + 420) = $1005

it is given that he has $745 in savings: If he uses all his savings, it will reduce his total cost balance to $1005 - $745 = $260

hence he needs to make up the remaining $260 by tutoring for $20 per hour

number of hours to make up the $260

= $260 ÷ $20/hr

= 13 hours

what is -9/12 + 4/12=

Answers

Answer:

I think it would be -0.416 but I'm not real sure so make sure before using my answer! :3 Have a great day!

Evaluate v(x) = 14 – 3x when x = -3,0, and 4.

Answers

Answer: 23 , 14 , 2

Step-by-step explanation:

V(-3)=14-3(-3)

=14+9

=23

V(0)=14-3(0)

=14-0

=14

V(4)=14-3(4)

=14-12

=2

I hope this helps

To enhance Jamie’s explanation, describe both sections of the piecewise function using linear equations. Include any limits to the domain. HELP ASAP

Answers

Answer:

Sugar

Step-by-step explanation:

What is the answer PLEASEE

Answers

Answer:

[tex]3^{-4}[/tex]

Step-by-step explanation:

[tex]3^5\cdot \:3^{-9}=3^{5-9}=3^{-4}[/tex]

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