
Concept explainers
i.
To find: The city has a greater range of temperature.
i.

Answer to Problem 11IP
Antelope has greater range of temperature,
Explanation of Solution
Given Information: In this table shows average monthly temperature for two different cities.
Antelope MT
Data set:
Range: To find the range subtract the lowest value from the highest value.
Range= highest-lowest
= 84-21 = 63
Quartiles: To find the quartiles divide the data set into two values. Don’t include the median if there is an odd number of items.
The first quartile is the median of the lower half. The first quartile is 33.5
The quartile is the median of the upper half. The third quartile is 75.5.
The interquartile range is the difference between the quartiles.
Interquartile range = 77.5-33.5 = 42.
Outliers: To find any outliers, first multiply the interquartile range by 1.5
Subtract 63 from the first quartile and add 63 to the third quartiles
Any value that is less than -29.5 as greater than 138.5 is an outlier.
There are no outliers.
Augusta,ME
Data set:
Range = 80-28 =52
Quartiles
First quartile = 37.5
Third quartile = 72.5
Interquartile range =72.5-37.5 = 35
Outliers =
Any value that is less than -15 or greater than 125 is an outlier
There are no outliers.
We see that Antelope, MT has greater range (63) than augusta ME (52).
ii.
To find: The measure of variability for each city.
ii.

Answer to Problem 11IP
The measures of variability are the quartiles and the inter-quartiles range
Explanation of Solution
Given Information: In this table shows average monthly temperature for two different cities.
The measure of variability are the quartiles and the interquartile range. They are listed above.
iii.
To find: The median and the interquartile ranges of the average temperature.
iii.

Answer to Problem 11IP
Antelope has a median of 58 degree while augusta has a median of 55.5.Antelope has an interquartile range of 42 while augusta is 35.
Explanation of Solution
Given Information: In this table shows average monthly temperature for two different cities.
Antelope has a median of 58 degree while augusta has a median of 55.5.Antelope has an interquartile range of 42 while augusta is 35.
iv.
To find: The appropriate measure of center to describe the average high temperature for augusta, justify your response.
iv.

Answer to Problem 11IP
Augusta average temperature have no outlines, large gaps R and not too money repeated values. The mean is more appropriate.
Explanation of Solution
Given Information: In this table shows average monthly temperature for two different cities.
Augusta average temperature have no outlines, large gaps R and not too money repeated values. The mean is more appropriate.
v.
To find: The average temperature of antelope and augusta, using both the measure of center and variability.
v.

Answer to Problem 11IP
antelope’s temperature are between 33.5 and 75.5 degree and augusta’s temperatures are between 37.5 and 72.5 degrees.
Explanation of Solution
Given Information: In this table shows average monthly temperature for two different cities.
Antelope one fourth of antelope’s temperature are lower than 33.5 degree. One fourth of antelope is temperature are higher than 75.5 degree. Half of antelope’s temperature are between 33.5 and 75.5 degree.
Augusta: One fourth of augusta temperature are higher than 72.5 degrees. Half of augusta’s temperatures are between 37.5 and 72.5 degrees.
Chapter 10 Solutions
Glencoe Math Accelerated, Student Edition
Additional Math Textbook Solutions
Basic Business Statistics, Student Value Edition
University Calculus: Early Transcendentals (4th Edition)
Elementary Statistics: Picturing the World (7th Edition)
College Algebra with Modeling & Visualization (5th Edition)
Elementary Statistics (13th Edition)
- Find the equation of the tangent line at the given value of x on the curve. 2y3+xy-y= 250x4; x=1 y=arrow_forwardFind the equation of the tangent line at the given point on the curve. 3y² -√x=44, (16,4) y=] ...arrow_forwardFor a certain product, cost C and revenue R are given as follows, where x is the number of units sold in hundreds. Cost: C² = x² +92√x+56 Revenue: 898(x-6)² + 24R² = 16,224 dC a. Find the marginal cost at x = 6. dx The marginal cost is estimated to be $ ☐ . (Do not round until the final answer. Then round to the nearest hundredth as needed.)arrow_forward
- The graph of 3 (x² + y²)² = 100 (x² - y²), shown in the figure, is a lemniscate of Bernoulli. Find the equation of the tangent line at the point (4,2). АУ -10 10 Write the expression for the slope in terms of x and y. slope =arrow_forwardUse a geometric series to represent each of the given functions as a power series about x=0, and find their intervals of convergence. a. f(x)=5/(3-x) b. g(x)= 3/(x-2)arrow_forwardAn object of mass 4 kg is given an initial downward velocity of 60 m/sec and then allowed to fall under the influence of gravity. Assume that the force in newtons due to air resistance is - 8v, where v is the velocity of the object in m/sec. Determine the equation of motion of the object. If the object is initially 500 m above the ground, determine when the object will strike the ground. Assume that the acceleration due to gravity is 9.81 m/sec² and let x(t) represent the distance the object has fallen in t seconds. Determine the equation of motion of the object. x(t) = (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.)arrow_forward
- Early Monday morning, the temperature in the lecture hall has fallen to 40°F, the same as the temperature outside. At 7:00 A.M., the janitor turns on the furnace with the thermostat set at 72°F. The time constant for the building is = 3 hr and that for the building along with its heating system is 1 K A.M.? When will the temperature inside the hall reach 71°F? 1 = 1 hr. Assuming that the outside temperature remains constant, what will be the temperature inside the lecture hall at 8:30 2 At 8:30 A.M., the temperature inside the lecture hall will be about (Round to the nearest tenth as needed.) 1°F.arrow_forwardFind the maximum volume of a rectangular box whose surface area is 1500 cm² and whose total edge length is 200 cm. cm³arrow_forwardFind the minimum cost of a rectangular box of volume 120 cm³ whose top and bottom cost 6 cents per cm² and whose sides cost 5 cents per cm². Round your answer to nearest whole number cents. Cost = cents.arrow_forward
- Find the absolute extrema of the function f(x, y) = x² + y² - 3x-3y+3 on the domain defined by x² + y² <9. Round answers to 3 decimals or more. Absolute Maximum: Absolute Minimum:arrow_forwardFind the maximum and minimum values of the function f(x, y) = e² subject to ï³ + y³ = 128 Please show your answers to at least 4 decimal places. Enter DNE if the value does not exist. Maximum value:arrow_forwardA chemical manufacturing plant can produce x units of chemical Z given p units of chemical P and 7 units of chemical R, where: z = 140p0.6,0.4 Chemical P costs $300 a unit and chemical R costs $1,500 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $187,500. A) How many units each chemical (P and R) should be "purchased" to maximize production of chemical Z subject to the budgetary constraint? Units of chemical P, p = Units of chemical R, r = B) What is the maximum number of units of chemical Z under the given budgetary conditions? (Round your answer to the nearest whole unit.) Max production, z= unitsarrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning





