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Concept explainers
Mediocre Grade Deflation. The bar graph shows the percentage of U.S. college freshmen with an average grade of C in high school.
The data displayed by the bar graph can be described by the mathematical model
106.
a. According to the formula, in 2000, what percentage of U.S. college freshmen had an average grade of C in high school? Does this underestimate or overestimate the percent displayed by the bar graph? By how much?
b. According to the formula, how many years after 1980 will no more than 0.8% of college freshmen have an average grade of C in high school? Which years does this include?
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Chapter 2 Solutions
Introductory Algebra for College Students (7th Edition)
- Q/(a)Let X be a finite dimension vector space over a field F and S₁,S2CX such that S₁SS2. Show that whether (1) if S, is a base for X then base for X or not (2) if S2 is a base for X then S, is a base for X or not (b) Show that every subspace of vector space is convex and affine set but the conevrse need not to be true. allet M be a non-empty subset of a vector space X over a field F and x,EX. Show that M is a hyperspace iff xo+ M is a hyperplane and xo€ xo+M. bState Hahn-Banach theorem and write with prove an application about it. Show that every singleten subset and finite subset of a normed space is closed. Oxfallet f he a function from a normad roace YI Show tha ir continuour aty.GYiffarrow_forward7 3 2 x+11x+24 9 2 5 x+11x+24arrow_forward2 4 + 4x 2x 8 || 12arrow_forward
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- Upland Co.'s inventory records showed the following data accounted for in a perpetual inventory system. Unit Date June 1 Units Cost Inventory (beg.) 700 $8.00 June 3 Purchases 1,400 8.40 June 7 Sales (at $16 per unit) 980 952 9.00 June 20 Purchases June 22 Sales (at $16 per unit) 1,540 What is (a) ending inventory on June 30, and (b) cost of goods sold for June, using the FIFO inventory method? •Note: Do not use negative signs with any of your answers. •Note: List the inventory units in chronological order based on their purchase date with beginning inventory, if any, listed first.arrow_forwardExplain how solve 4x + 3 = 7 using the change of base formula logy: logy. Include the solution for x in your answer. Round your answer to the nearest thousandth. log barrow_forward5. Consider the following vectors 0.1 3.2 -0-0-0 = 5.4 6.0 = z= 3 0.1 For each of exercises a-e, either compute the desired quantity by hand with work shown or explain why the desired quantity is not defined. (a) 10x (b) 10-27 (c) J+Z (d) (x, y) (e) (x, z)arrow_forward
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