
Concept explainers
Carefully read through the list of terminology we’ve used in this Unit. Consider circling the terms you aren’t familiar with and looking them up. Then test your understanding by using the list to fill in the appropriate blank in each sentence. Hint: One word is used twice.
axis
bar graph
categorical frequency distribution
classes
commutative
complement
compound interest
coordinates
data
degrees
element
empirical probability
exponential growth
grouped frequency distribution
histogram
interest
intersection
like quantities
linear growth
lower limit
origin
perimeter
pie chart
plotting points
population
probability
raw data
rectangular
representative sample
roster method
sample
scale
scientific notation
set
simple interest
stem and leaf plot
theoretical probability
time-series data
time-series graph
union
universal set
upper limit
Venn diagram
well-defined
x axis
y axis
A _______________ is any collection of objects.

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Chapter 1 Solutions
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- a) let SSK : A->R be function and let c be acluster Point of A if lim S, (x) exists for each i=1, 2, .-,k then K i) lim Si (x)= lim fi (x) X->C 1=1 11), im π fi (x) = lim fi (x) YC il i=1 1) let f(x) = ) x² Sin (1/x), xe Q/{o} f(x) = { x² cos(\/x), x&Q Show that lim f(x)= 0 X = 0 c) Give an example of aset ASR, a cluster Point C of Aand two fun. & 9: AR st lim f(x)9(x) exsis bat limfex) does not exist X-Carrow_forwardQ/Solve the heat equation initial-boundary-value problem:- ut = ux X u (x90) = X ux (ost) = ux (39) = 0arrow_forward16. Let X be normally distributed with mean μ = 120 and standard deviation σ = 20. a. Find P(X86). b. Find P(80 ≤x≤ 100). ة ن فـ d. Find x such that P(X ≤x) = 0.40. Find x such that P(X>x) = 0.90.arrow_forward
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- i) Consider the set S = {−6, −3, 0, 3, 6}. Draw a graph G whose set of verti- ces be S and such that for i, j ∈ S, ij ∈ E(G) if ij are related to a rule that t'u you choose to apply to i and j. (ii) A graph G of order 12 has as a set of vertices c1, c2, . . . , c12 for the do- ce configurations of figure 1. A movement on said board corresponds to moving a coin to an unoccupied square using the following two rules: 1. the gold coin can move only horizontally or diagonally, 2. the silver coin can move only vertically or diagonally. Two vertices ci, cj, i̸ = j are adjacent if it is possible to move ci to cj in a single movement. a) What vertices are adjacent to c1 in G? b) Draw the subgraph induced by {c2, c6, c9, c11}arrow_forward2. Find the exact value of 12 + 12+12+√√12+ √12+ 12arrow_forwardhe following contingency table details the sex and age distribution of the patients currently registered at a family physician's medical practice. If the doctor sees 17 patients per day, use the binomial formula and the information contained in the table to answer the question: SEX AGE Under 20 20-39 40-59 60-79 80 or over TOTAL Male 5.6% 12.8% 18.4% 14.4% 3.6% 54.8% Female 2.8% 9.6% 13.2% 10.4% 9.2% 45.2% TOTAL 8.4% 22.4% 31.6% 24.8% 12.8% 100.0% if the doctor sees 6 male patients in a day, what is the probability that at most half of them are aged under 39?arrow_forward
- Technetium-99m is used as a radioactive tracer for certain medical tests. It has a half-life of 1 day. Consider the function TT where T(d)T(d) =100(2)−d=100(2)−d is the percent of Technetium-99m remaining dd days after the test. Which expression represents the number of days until only 5% remains?arrow_forward1. Find the inverse of f(x) = = 2x 1+2x Then find the domain of the inverse.arrow_forwardProve for any graph G, δ(G) ≤ d(G) ≤ ∆(G) using the definition of average degree, make a formal proofarrow_forward
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