1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
blagie [28]
3 years ago
7

Arlene is comparing the prices of two truck rental companies. Company A charges $7 per hour and an additional $30 as service cha

rges. Company B charges $8 per hour and an additional $40 as service charges.
Part A: Write an equation to represent each company's total charges for renting a truck for a certain number of hours. For both equations (one for Company A and one for Company B), define the variable used. (4 points)

Part B: Which company would charge less for renting a truck for 8 hours? Justify your answer. (3 points)

Part C: How much money is saved by using the services of Company A instead of Company B to rent a truck for 2 hours? (3 points)
Mathematics
1 answer:
max2010maxim [7]3 years ago
7 0
Part A:
Company A:  $7 per hour +$30 service charge =money spent
Company B:  $8 per hour +$40 service charge =money spent

Part B:
Company A:  $7(8)+$30 = $86
Company B:  $8(8)+$40 = $104

Part C:
Company A:  $7(2)+$30 = $44
Company B:  $8(2)+$40 = $56
      You would save $12 if you use Company A instead of Company B's truck rental.

You might be interested in
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp
motikmotik

Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305

The degrees of freedom for this sample size are:

df=n-1=50-1=49

The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=2.01 \cdot 0.305=0.61

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 6.34-0.61=5.73\\\\UL=M+t \cdot s_M = 6.34+0.61=6.95

The 95% confidence interval for the mean is (5.73, 6.95).

4 0
3 years ago
Which relationship between x and y in the equation shows a proportional relationship?
seraphim [82]
It is A. Let me know if the answer is correct! :)

7 0
3 years ago
What is the word form of 34/100
valkas [14]
34/100
= 0.34

3 tenths, 4 hundreths
3 0
3 years ago
Read 2 more answers
Please help meeeee. I literally learned this last year but my dum mb self forgot hot to do it
Aleks [24]

It would be 30 because 10^4 is 10000 and 10000 times 12 is 120000 and 10^3 is 1000 and 1000 times 4 is 4000 so 120000 divided by 4000 is 30

8 0
3 years ago
BRAINLIEST<br> find the value of a^n b^n if n=3,a=100,and b=1/4
Bumek [7]

Answer:

= (100)^3(1/4)^3

= 15,625  i think im not that good at math but i passed

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • A sample of 4 is selected from a lot of 20 piston rings. How many different sample combinations are possible?
    11·1 answer
  • How to make a business tycoon?
    9·1 answer
  • Can somebody please help with this (Will mark Brainliest) 30 Points!<br><br> Algebra 1
    11·1 answer
  • How do you do this problem (10 - 5)cube + (10÷5)
    5·2 answers
  • Find the amount of each ordinary annuity. interest is compounded annually.
    15·1 answer
  • A drug store stocked 672 bottles of some kind of medicine.
    8·1 answer
  • What is the measure of abd
    10·2 answers
  • The Hu family goes out for lunch, and the price of the meal is $52. The sales tax on the meal is 6%, and the family also leaves
    8·2 answers
  • 4a (8a- 4a + 1)<br> Helpehelpeekendnhdhdjdjdjjdfjjfjfjf
    8·1 answer
  • I can’t figure this out. Help!
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!