
Concept explainers
Determine whether each statement is true or false.
1 A ratio can be written in fraction notation or in colon notation. [5.1a]

Whether the statement “A ratio can be written in fraction notation or colon notation” is true or false.
Answer to Problem 1MC
The given statement is true.
Explanation of Solution
Definition used:
A ratio is the quotient of two quantities. The ratio of a to b is expressed by the fraction notation
Description:
Ratio is the proportion of one quantity to another also, ratio of two quantities can be expressed in either fraction notation or in colon notation.
From the above statement, it is clear that “A ratio can be written in fraction notation or colon notation”.
Therefore, the statement “A ratio can be written in fraction notation or colon notation” is true.
Want to see more full solutions like this?
Chapter 5 Solutions
Basic College Mathematics
- Use the annulus method to find the solution of the DE: y''' + 8y = e^(3x) sen(3x) cos(3x)arrow_forwardTheorem 2.4 (The Hölder inequality) Let p+q=1. If E|X|P < ∞ and E|Y| < ∞, then . EXY SEXY ≤ Xp Yq.arrow_forward1 for all k, and set o (ii) Let X1, X2, that P(Xkb) = x > 0. Xn be independent random variables with mean 0, suppose = and Var Xk. Then, for 0x) ≤2 exp-tx+121 Στ k=1arrow_forward
- Lemma 1.1 Suppose that g is a non-negative, non-decreasing function such that E g(X) 0. Then, E g(|X|) P(|X|> x) ≤ g(x)arrow_forwardProof of this Theorem Theorem 1.2 (i) Suppose that P(|X| ≤ b) = 1 for some b > 0, that E X = 0, and set Var X = o². Then, for 0 0, P(X > x) ≤ e−1x+1²², P(|X|> x) ≤ 2e−x+1² 0²arrow_forwardState and prove the Morton's inequality Theorem 1.1 (Markov's inequality) Suppose that E|X|" 0, and let x > 0. Then, E|X|" P(|X|> x) ≤ x"arrow_forward
- (iii) If, in addition, X1, X2, ... Xn are identically distributed, then P(S|>x) ≤2 exp{-tx+nt²o}}.arrow_forwardCalculate the following limit lim N→X [en] + [en] + n + [en]arrow_forwardSolve the given symbolic initial value problem and sketch a graph of the solution. y"+y=38 (1-2); y(0) = 0, y'(0) = 2arrow_forward
- Solve the following system of equations: 50x+20y=1800 10x+3y=300arrow_forward5. State space models Consider the model T₁ = Tt−1 + €t S₁ = 0.8S-4+ Nt Y₁ = T₁ + S₁ + V₂ where (+) Y₁,..., Y. ~ WN(0,σ²), nt ~ WN(0,σ2), and (V) ~ WN(0,0). We observe data a. Write the model in the standard (matrix) form of a linear Gaussian state space model. b. Does lim+++∞ Var (St - St|n) exist? If so, what is its value? c. Does lim∞ Var(T₁ — Ît\n) exist? If so, what is its value?arrow_forward2 P(x,y). kx²y X: 1,2 5.11273 Find k Find P(x/y) ③ Mxy Ng q oxy วarrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University




