Pearson eText for Mathematics for Elementary Teachers with Activities -- Instant Access (Pearson+)
5th Edition
ISBN: 9780137442812
Author: Sybilla Beckmann
Publisher: PEARSON+
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Textbook Question
Chapter 13.3, Problem 8P
One liter of water is in a cylindrical container. The water is poured into a second cylindrical container whose radius is
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Students have asked these similar questions
For the following function, find the full power series centered at a
of convergence.
0 and then give the first 5 nonzero terms of the power series and the open interval
=
f(2) Σ
8
1(x)--(-1)*(3)*
n=0
₤(x) = + + + ++...
The open interval of convergence is:
1
1
3
f(x)=
=
28
3x6 +1
(Give your answer in help (intervals) .)
Q3 (8 points)
Q3. A survey classified a large number of adults according to whether they were diag-
nosed as needing eyeglasses to correct their reading vision and whether they use
eyeglasses when reading. The proportions falling into the four resulting categories
are given in the following table:
Use Eyeglasses for Reading
Needs glasses Yes
No
Yes
0.44
0.14
No
0.02
0.40
If a single adult is selected from the large group, find the probabilities of the events
defined below. The adult
(a) needs glasses.
(b) needs glasses but does not use them.
(c) uses glasses whether the glasses are needed or not.
4. (i) Let a discrete sample space be given by
N = {W1, W2, W3, W4},
and let a probability measure P on be given by
P(w1) = 0.2, P(w2) = 0.2, P(w3) = 0.5, P(wa) = 0.1.
Consider the random variables X1, X2 → R defined by
X₁(w1) = 1, X₁(w2) = 2,
X2(w1) = 2, X2 (w2) = 2,
Find the joint distribution of X1, X2.
(ii)
X1(W3) = 1, X₁(w4) = 1,
X2(W3) = 1, X2(w4) = 2.
[4 Marks]
Let Y, Z be random variables on a probability space (, F, P).
Let the random vector (Y, Z) take on values in the set [0, 1] x [0,2] and let the
joint distribution of Y, Z on [0, 1] x [0,2] be given by
1
dPy,z (y, z) ==(y²z+yz2) dy dz.
harks 12 Find the distribution Py of the random variable Y.
[8 Marks]
Chapter 13 Solutions
Pearson eText for Mathematics for Elementary Teachers with Activities -- Instant Access (Pearson+)
Ch. 13.1 - For each of the following solid shapes, find at...Ch. 13.1 - Answer the following questions without using a...Ch. 13.1 - Answer the following questions without using a...Ch. 13.1 - Recall that an n-gon is a polygon with n side For...Ch. 13.1 - This problem goes with Class Activity 13C on the...Ch. 13.1 - Referring to the descriptions of the Platonic...Ch. 13.1 - A cube is a polyhedron that has 3 square faces...Ch. 13.1 - The Platonic solids are convex polyhedra with...Ch. 13.1 - Two gorgeous polyhedra can be created by...Ch. 13.2 - Find all the different nets for a tetrahedron made...
Ch. 13.2 - Make three different nets that could be cut out,...Ch. 13.2 - Describe or show how to make a cylinder without...Ch. 13.2 - If a cardboard box (rectangular prism) with a top,...Ch. 13.2 - Use a ruler and compass to help you make a pattern...Ch. 13.2 - Use a ruler and compass to help you make a pattern...Ch. 13.2 - Use a ruler and compass to help you make a pattern...Ch. 13.2 - Prob. 8PCh. 13.2 - Make a pattern for the “bottom portion” (frustum)...Ch. 13.2 - A company will manufacture a tent that will have a...Ch. 13.2 - Prob. 11PCh. 13.2 - Prob. 12PCh. 13.2 - A popular brand of soup comes in cans that are 258...Ch. 13.2 - The lateral portion of a cone (the part other than...Ch. 13.2 - Make a pattern for a cone such that the lateral...Ch. 13.2 - Make a pattern for a cone such that the lateral...Ch. 13.2 - A cone with a circular base of radius 6 cm is to...Ch. 13.2 - Tim needs a sturdy cardboard box that is 3 ft tall...Ch. 13.2 - Prob. 19PCh. 13.2 - Prob. 20PCh. 13.2 - Prob. 21PCh. 13.2 - Prob. 22PCh. 13.2 - How many different nets an open top cubes an...Ch. 13.2 - Make three different nets that could be cut out,...Ch. 13.3 - Suppose that a student in your class wants to know...Ch. 13.3 - Students are sometimes confused about the...Ch. 13.3 - Young children sometimes think that tall...Ch. 13.3 - Students often confuse the surface area and the...Ch. 13.3 - In your own words, explain why the volume volume =...Ch. 13.3 - Discuss how to use blocks to explain why the...Ch. 13.3 - A cylindrical container has a base that is a...Ch. 13.3 - One liter of water is in a cylindrical container....Ch. 13.3 - Measure how fast water comes out of some faucet of...Ch. 13.3 - Find a gallon container, 3 half-gallon container,...Ch. 13.3 - One gallon is 3.79 L, and 1 cm3 holds 1 mL of...Ch. 13.3 - A cake recipe will make a round cake that is 6 in....Ch. 13.3 - A recipe for gingerbread makes a...Ch. 13.3 - The front (and back) of a greenhouse have the...Ch. 13.3 - Prob. 15PCh. 13.3 - Fifty pounds of wrapping paper are wound onto a...Ch. 13.3 - A conveyor belt dumps 2500 yd3 of gravel to form a...Ch. 13.3 - A construction company wants to know how much sand...Ch. 13.3 - One of the Hawaiian volcanoes is 30,000 ft high...Ch. 13.3 - Prob. 20PCh. 13.3 - Prob. 21PCh. 13.3 - A cone without a base is made from a...Ch. 13.3 - Prob. 23PCh. 13.3 - A cone without a base is made from 34 of a circle...Ch. 13.3 - A cone-shaped cup has a circular opening at the...Ch. 13.3 - Eight identical spherical raindrops join together...Ch. 13.4 - A tank in the shape of a rectangular prism has a...Ch. 13.4 - A container holds 5 liters. Initially, the...Ch. 13.4 - Aflsh tank in the shape of a rectangular prism is...Ch. 13.4 - Suppose that you have a recipe that calls for 200...Ch. 13.4 - Prob. 5P
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