Concept explainers
A die is a six-sided cube with sides labeled with 1, 2, 3, 4, 5, or 6 dots. The die is a “fair” die if when rolled, each outcome is equally likely. Therefore, the probability that it lands on “1” is 1/6, If a fair die is rolled 360 times, we would expect it to land as a “1” roughly 60 times. Let x represent the number of times a “1” is rolled. The inequality
a. Solve the inequality and interpret the answer in the context of this problem
b. If the die is rolled 360 times, and a “1” comes up 30 times, does it appear that the die is a fair die?
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College Algebra
- D2L Course Sched X | zm MATH 140 ✗ Math 140 AC2 × Untitled docun X APznzaZOmoE X adidas Samba × |_ Math 140 AC2 × Home - Google × b Home | bartleb × | + С doc-08-9s-prod-00-apps-viewer.googleusercontent.com/viewer2/prod-00/pdf/4b40ij3n5ssib10rfbdvgd4hc0nkjh9f/0972m4636 vecpvn6ctclvph34kfeur7... Q Update: III APznzaZOmoEKtnM4eg2YA5rwDV97bDw0GG39cSO6IEGFlaYSoS4iHO... MT Check In Pat 1 2 20 for x=0 G(x)=15+ 300arrow_forwardThank you.arrow_forwardThank you.arrow_forwardLet V, W, and Y be vector spaces. Suppose dim(V) dim(W) = dim(Y) = 2. = Let ("beta") be an ordered basis for V. Let ("gamma") be an ordered basis for W. Let ("zeta") be an ordered basis for Y. Suppose S is a linear transformation from V to W and that T is a linear trans- formation from W to Y. Remember that ToS is the function from V to Y defined by (TOS)(v) = T(S(v)). (a) Prove that To S is a linear transformation. (b) Prove that ° [T • S] = [T]{[S]}.arrow_forwardLet W={(0, a, 0) | a Є R}. (a) List four elements from W. (b) Determine whether W is a subspace of R³, and prove that your answer is correct.arrow_forwardFor this problem, refer to the network as shown in Figure 1, answer the following questions. B A C FIGURE 1. For Problem (7). Let x₁ be the number of users at website A. Let x2 be the number of users at website B. Let x3 be the number of users at website C. Assume that there are a total of 900 users at these three websites. This gives us the following system of linear equations: x1 = x2 + 1x3 x2 = x1 + x3 x3 = x2 = 900 x1 + x2 + x3 = (a) Put this system into a standard form (with all variables on the left side and with the constants on the right), and convert that system into an augmented matrix, and then... (b) Use elementary row operations to put the augmented matrix into reduced row echelon form, and then... (c) Write down the solution space for this system of equations, and then... (d) Identify which website(s) would be ranked most highly by PageRank.arrow_forward4 2 Let C = -6 -3 (a) Find det(C). (b) Use your answer for (a) to determine whether C is invertible.arrow_forwardLet P2 be the set of all polynomials with degree ≤ 2. Does the set {6 − x², 1+x+4x², 8+2x+7x²} form a basis for P2? Prove that your answer is correct.arrow_forwardLet O be the 2 × 2 zero matrix. Let a be a real number. Prove that aO = 0.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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