Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Math Expert


Home >> Math

problem)Atmospheric carbon dioxide is thought to be responsible for global warming.
The table below contains data about the amount of Atmospheric CO2 (in ppm) over the last fifty years.

Year    CO2
1959    315.98
1960    316.91
1965    320.04
1968    323.04
1971    326.32
1975    331.08
1980    338.7
1982    341.4
1984    344.4
1986    347.2
1988    351.5
1990    354.2
1992    356.4
1994    358.9
1996    362.6
1998    366.6
2000    369.4
2002    372.9
2007    383.71
2008    385.54
2009    387.35

(a) Construct a scatter plot for this data. (Either by hand or using Excel)
(b) Comment on the shape.
(c) Find a line of best fit.  If doing this by hand, you will need to find the line of best fit by eye and then find the equation.  If using excel, use a formula(s) to find the line of best fit.
(d) Using the equation, what was/is the atmospheric CO2 in 2005, 1920, 2020?  Comment on the accuracy of your answers.
(e) In your conclusion, comment on the accuracy of modeling this as a straight line given your graph.  Consider the accuracy to determine past and present values for CO2.
Data sourced from http://co2now.org/index.php?option=com_content&task=view&id=22&Itemid=1
problem)Forensic Science – Bone Lengths

Forensic Scientists can estimate the height of deceased people from the length of a few key bones.
Heights can be determined from the length of the humerus, (the bone that extends from the elbow to the shoulder) using the equations:
For males: H= 3.08h + 70.45, For females H=3.36h + 57.97

Where H is the height of the deceased and h is the length of the humerus in cm.
Heights can also be estimated from the length of the tibia, (the larger bone that extends from just below the kneecap to the ankle) using the equations:
For males: H=2.42t + 81.93, for females H=2.9t + 61.53

Where H is the height of the deceased and t is the length of the tibia in cm.
Heights can also be estimated from the length of the ulna, (the larger bone that extends from the elbow to the hand) using the equations:

For males: H=3.7u + 70.45, for females H=4.27u + 57.76

Where H is the height of the deceased and u is the length of the ulna in cm.
What is the height of the person and are they male or female?

Complete the following:
(a) A tibia of length 32 cm is found in a burial site, find the person’s height? (the sex is unknown)
(b)A collection of bones is found where the humerus = 34cm, tibia = 38.5cm and ulna = 28.3cm.  Was this person a male or female

Based on your height, what will the length of your humerus, tibia and ulna be?

problem) Tyre Life

Data about tyre wear was collected. The number of kilometres from Brand A tyres is given below:

The number of kilometres from Brand A tyres is:

35000     38000     38000     42000     45000
45000     49000     50000     50000     52000
53000     58000     62000     62000     63000
66000     67000     70000     71000     74000
76000     81000     81000     86000     94000

The number of kilometres from Brand B tyres is:

46000     49000     55000     56000     58000
64000     64000     64000     67000     68000
68000     69000     69000     72000     72000
74000     76000     78000     79000     79000
82000     86000     87000     94000     97000

Which tyre gives the longest life?
(a) Draw a side by side box and whisker plot to determine the answer. (Hint: arrange the data in a back to back stem and leaf plot first)
problem 3 Male and Female Athletes
The table below contains times for males and females times for 100m running races at Olympic Games.
Year    Years since 1928    Men’s 100m time (sec)    Women’s 100m time (sec)
1928    0                                   10.8                              12.2
1932    4                                   10.3                              11.9
1936    8                                   10.3                              11.5
1948    20                                  10.3                              11.9
1952    24                                  10.4                              11.5
1960    32                                  10.2                              11.0
1968    40                                  9.95                              11.08
1976    48                                  10.06                             1.08
1980    52                                  10.25                            11.06
1992    64                                  9.96                              10.82
1996    68                                  9.84                              10.94
2000    72                                  9.87                              10.75
2004    76                                  9.85                              10.93
2008    80                                  9.69                              10.78
Construct a graph for this data. (Either by hand or using Excel)
Determine the equation for the line of best fit by both calculation and using excel. Compare the two answers.
Will female athletes ever catch up to male athletes? When might this happen?
problem 4   Household Water Use
1. This is a roof plan (from above) of a house.

2018_roof plan.jpg

(a)During a recent rainy day, 72 mm of rain was recorded.  find out how many litres of water will be collected from the roof and stored in the water tank. Remember  1cm3 = 1mL or 1m3 = 1kL(1000L)
The volume V of water in the tank, initially full, remaining after (d) days is given by the equation:
         V=10 000-235 d

(b)     How much is left from a full tank after 30 days of no rain?
(c)     From the equation, determine how many litres of water the tank holds when full.
(d)     From the equation, determine how many litres of water the householders use per day
(e)     When will the volume of the tank be reduced to 2500 litres?

problem 5 Break-even analysis
A tourist coach company offers a daily (week days) tour from Bryon Bay to Lismore and return. People taking the tour are supplied lunch
The company puts a weekly advertisement in the local paper costing $120.
Pc = $120.00

Each passenger is charged $45 (including lunch) for the return journey.
Ep=$45.00

The fuel cost and other running costs total $45 per trip.
F=$45.00

The driver’s wage is $120 per trip.
Dw=$120.00

Lunch cost is $14 per person
L=$14.00

Outlay = Pc=$120c a week, F=$45, Dw=$120= $299.00 Each trip costs= $285
Variable =, Lunch=$14
Income = Per passage Ep=$45 ($30)
P=$120+$120+$45=$285

If clients pay $45 and this cost is called $31 then this removes the variable in the equation of the $14 for lunch.
10 clients per trip to make a profit
The company would like to make a profit on a weekly basis even though some individual trips might operate at a loss.

(a) From the information given, plot the graphs of revenue and cost and find the number of passengers required per week to break even.
(b) Ideally the company would like to make $1000 profit per week, find out the number of passengers required to make this happen. 
(c) What is the maximum profit possible if the bus can hold a maximum of 20 passengers per trip?

Math, Academics

  • Category:- Math
  • Reference No.:- M9309

Have any Question? 


Related Questions in Math

Amanda and her husband are each starting a saving plan

Amanda and her husband are each starting a saving plan. Amanda will initially set aside $125 and then add $20.55 every week to the savings. The amount A (in dollars) saved this way is given by the function =A+12520.55N , ...

How does the primary function of upward-flowing

How does the primary function of upward-flowing communication differ from that of downward-flowing communication? Essay of 350-500 words. (introduction, body and conclusion)

The coordinate plane below represents a city points a

The coordinate plane below represents a city. Points A through F are schools in the city. graph of coordinate plane. Point A is at negative 3, negative 4. Point B is at negative 4, 3. Point C is at 2, 2. Point D is at 1, ...

A car was purchased for 3495 and will depreciate 20 each

A car was purchased for $3,495 and will depreciate 20% each year. Find a linear function for the value of the car at time t in years. Define variables clearly. Graph the function you found in part A. A claim is made that ...

1 why is it necessary to account for the order of a matrix

1. Why is it necessary to account for the order of a matrix when adding or subtracting matrices? 2. Explain the conditions necessary to multiply two matrices, each of a different order. What does the scalar multiplicatio ...

Calculate the return on investment for 1900 shares of a

Calculate the return on investment for 1,900 shares of a mutual fund purchased with an offer price of $15.26 if the shares were sold with a NAV of $18.35. The shares paid a dividend of $0.88per share during ownership. Pl ...

The annual rainfall in inches in a certain region is

The annual rainfall (in inches) in a certain region is normally distributed with mean? and variance 16. a) Over the years,it is found that the probability is 0.02 that the annual rainfall is less than 32 inches. Find the ...

From a point on the south rim of a canyon it is found that

From a point on the South Rim of a canyon, it is found that the angle of elevation to a point on the North Rim is 2.6°. If the horizontal distance between the points is 8.4 mi, how much higher is the point on the North R ...

You can win lolitas deep-6 lottery jackpot if you correctly

You can win Lolita's "Deep-6" lottery jackpot if you correctly choose 6 non-repeating integer numbers between 1 and 36 (in any order) and those numbers are drawn. You buy one ticket. What is the probability that it's the ...

1nbspan airplanenbsptravels at a constant

1. An airplane travels at a constant rate.  Flying with the wind, it takes 3.4 hours to travel 2040 miles.  Flyingagainst the wind, the return trip takes 5 hours. If there was no wind, how fast was the airplane flying? C ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro

Describe what you learned about the impact of economic

Describe what you learned about the impact of economic, social, and demographic trends affecting the US labor environmen