Developmental Mathematics (9th Edition)
9th Edition
ISBN: 9780321997173
Author: Marvin L. Bittinger, Judith A. Beecher
Publisher: PEARSON
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Chapter C, Problem 34ES
To determine
To fill: The blank space in the provided table:
Object |
Liters (L) |
Milliliters (mL) |
Cubic Centimeters (cc) |
Cubic Centimeters |
Newman’s Own salad dressing |
473 |
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B1 The x distribution is a special case of Gamma distribution (not to be confused with gamma
function; see below). The density function of the Gamma distribution with parameters
and k is given by
where
-1
e
-x/0
(x) =
=
г(k) Øk
if x > 0, and
otherwise,
г(k) = √ ₁
k-1-x dx
x' e
is the gamma function.
(a) For every k ≥ 1, 0 > 0, find the mode of the density. Hint: The algebra can be
simplified by appropriate use of logarithms.
~
Now suppose that X1,..., Xn id Exp(\) and that we have a prior belief in A which is
consistent with a prior distribution X. Gamma(a, b), for some a, ß, i.e. the prior density
of is
Baxa-1-BA
T(a)
e
=
so 01/ẞ and k = a.
(b) Write down the likelihood, and show that the posterior distribution for \ is also a
Gamma distribution, but with parameters a +n and B + Σ Xi.
(c) Find the mode of the posterior distribution and examine the behaviour as n → ∞.
SCIE 211 Lab 3: Graphing and DataWorksheetPre-lab Questions:1. When should you use each of the following types of graphs? Fill answers in the table below.Type of Graph Used to showLine graphScatter plotBar graphHistogramPie Chart2. Several ways in which we can be fooled or misled by a graph were identified in the Lab 3Introduction. Find two examples of misleading graphs on the Internet and paste them below. Besure to identify why each graph is misleading.
Data Charts:Circumference vs. Diameter for circular objectsDiameter Can 1 (cm) Can 2 (cm) Can 3 (cm)Trial 1Trial 2Trial 3MeanCircumference Can 1 (cm) Can 2 (cm) Can 3 (cm)Trial 1Trial 2Trial 3MeanScatter Plot Graph – Circumference Vs. DiameterIdentify 2 points of the Trendline.Y1 = ________ Y2 = _________X1 = ________ X2 = _________Calculate the Slope of the Trendline =
Post-lab Questions:1. Answer the questions below. You will need to use the following equation to answer…
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Chapter C Solutions
Developmental Mathematics (9th Edition)
Ch. C - Complete. 5gal=ptCh. C - Prob. 2DECh. C - Prob. 3DECh. C - Prob. 4DECh. C - Prob. 5DECh. C - Prob. 6DECh. C - Prob. 7DECh. C - Prob. 8DECh. C - Prob. 9DECh. C - Medical Dosage. A prescription calls for 2 oz of...
Ch. C - Prob. 1ESCh. C - Prob. 2ESCh. C - Prob. 3ESCh. C - Prob. 4ESCh. C - Prob. 5ESCh. C - Prob. 6ESCh. C - Prob. 7ESCh. C - Prob. 8ESCh. C - Prob. 9ESCh. C - Prob. 10ESCh. C - Prob. 11ESCh. C - Prob. 12ESCh. C - Prob. 13ESCh. C - Prob. 14ESCh. C - Prob. 15ESCh. C - Prob. 16ESCh. C - Prob. 17ESCh. C - Prob. 18ESCh. C - Prob. 19ESCh. C - Prob. 20ESCh. C - Prob. 21ESCh. C - Prob. 22ESCh. C - Prob. 23ESCh. C - Prob. 24ESCh. C - Prob. 25ESCh. C - Prob. 26ESCh. C - Prob. 27ESCh. C - Prob. 28ESCh. C - Prob. 29ESCh. C - Prob. 30ESCh. C - Prob. 31ESCh. C - Prob. 32ESCh. C - Prob. 33ESCh. C - Prob. 34ESCh. C - Prob. 35ESCh. C - Prob. 36ESCh. C - Prob. 37ESCh. C - Prob. 38ESCh. C - b
Medical Dosage. Solve each of the...Ch. C - Prob. 40ESCh. C - Prob. 41ESCh. C - Prob. 42ESCh. C - Prob. 43ESCh. C - Prob. 44ESCh. C - Prob. 45ESCh. C - Prob. 46ESCh. C - Prob. 47ESCh. C - Prob. 48ESCh. C - Prob. 49ESCh. C - Prob. 50ESCh. C - Prob. 51ESCh. C - Prob. 52ESCh. C - Prob. 53ES
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- Home-Student Portalarrow_forwardWhat is the area of this figure? 3 mi 5 mi 6 mi 4 mi 2 mi 3 mi 6 mi Write your answer using decimals, if necessary. 5 miarrow_forwardμ=1 r = 30 mm 500 mm a 7000 mm b 7000 mm C 500 mmarrow_forwardPhil has systematically contributed $3000 to his RRSP at the beginning of every three months for the past 17 years.If the RRSP has earned 8.8% compounded quarterly, what is the value of Phil’s RRSP today? (Do not round intermediate calculations and round your final answer to 2 decimal places.)The value of the RRSP today $arrow_forwardAnswer all questions and show workarrow_forwardThe U.S. Bureau of Labor Statistics reports that 11.3% of U.S. workers belong to unions (BLS website, January 2014). Suppose a sample of 400 U.S. workers is collected in 2014 to determine whether union efforts to organize have increased union membership. a. Formulate the hypotheses that can be used to determine whether union membership increased in 2014.H 0: p H a: p b. If the sample results show that 52 of the workers belonged to unions, what is the p-value for your hypothesis test (to 4 decimals)?arrow_forwardFind a unit normal vector to the surface f(x, y, z) = 0 at the point P(-3,4, -32) for the function f(x, y, z) = In -4x -5y- Please write your answer as a vector (a, b, c) with a negative z component, and show your answer accurate to 4 decimal placesarrow_forwardAnswer this pleasearrow_forwardB1 The x distribution is a special case of Gamma distribution (not to be confused with gamma function; see below). The density function of the Gamma distribution with parameters and k is given by where -1 e -x/0 (x) = = г(k) Øk if x > 0, and otherwise, г(k) = √ ₁ k-1-x dx x' e is the gamma function. (a) For every k ≥ 1, 0 > 0, find the mode of the density. Hint: The algebra can be simplified by appropriate use of logarithms. ~ Now suppose that X1,..., Xn id Exp(\) and that we have a prior belief in A which is consistent with a prior distribution X. Gamma(a, b), for some a, ß, i.e. the prior density of is Baxa-1-BA T(a) e = so 01/ẞ and k = a. (b) Write down the likelihood, and show that the posterior distribution for \ is also a Gamma distribution, but with parameters a +n and B + Σ Xi. (c) Find the mode of the posterior distribution and examine the behaviour as n → ∞.arrow_forwardFind the differential of the function f(x, y) = 2x² - 2xy – 5y² at the point (-6, -5) using Ax = 0.3 and Ay = 0.05. dz = Now find Az and compare it to your answer above Ax= Hint: If entering a decimal, round to at least 5 placesarrow_forwardFind the differential of the function f(x, y) = −8x√y at the point (1,3) using Ax = 0.25 and Ay = -0.15. dz Now find Az and compare it to your answer above Az = Hint: If entering a decimal, round to at least 5 placesarrow_forwardplease dont use chat gpt i need to underarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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