Athens State University

Statistics

Statistics Solutions

Use a x²-test for independence to test whether there is evidence that the variables Month and Direction, restricted to May and July, are associated.

Algebra

Quadratic equations Solutions

15. Given f(x) = 3x² + 7x - 20 and g(x) = x - 2. state the quotient and remainder of f(x)/g(x), in the form g(x) + {r(x)/g(x)} r(x) 16. Solve the system of equations shown below algebraically. (x - 3)² + (y + 2)² = 16 2x - 2y = 10

Math - Others

Simple & Compound Interest Solutions

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 50 degrees at midnight and the high and low temperature during the day are 69 and 31 degrees, respectively. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t. D(t)= _____________

Algebra

Permutations and Combinations Solutions

Solve the following rational inequalities using a factor table. a)7/(X-3) ≥2/(X+4) B)(2X-10)/X > (X-5)

Statistics

Probability Solutions

Given the following product with a one-year warranty (reliabilities represent the probability of each component surviving for one year): 0.97-----0.75----0.90--- | | 0.70 0.80 | 0.65 | 0.60 The company has sold 1300 products. If $35 is refunded per failure, what are the expected losses due to failures? Do not round the number of products, but you may round up the expected losses to one decimal place. __________________

Algebra

Quadratic equations Solutions

What is the product of the radical expressions? (7-√2)(8+ √2) 2)What are all the real cube roots of 125? .3)Describe and correct the error a student made in writing this exponential expression in radical form. x^(4/3)=(x⁴)^1/3 4)Determine whether ∛x² is equal to (∛x)². Explain your reasoning.

Algebra

Matrices & Determinants Solutions

Is the solution set to the equation x²sin(1/(x^1998+1)) + exp(cos(1-x^2018)) + sin(exp(2019/(x^2222+2020) + 2x²/(2019+x⁶+2031) = 0 a Lebesgue measurable subset of the real line? Justify your answer.

Algebra

Quadratic equations Solutions

What is the sum of the coordinates of the point obtained by first reflection (8, 8) over the line x = 3, and then reflecting that point over the line y = 4? (A)-2 (B) 8 (C)-8 (D) 3 (E) 4

Algebra

Quadratic equations Solutions

Evaluate the expression. Check all possible sets that the solution may belong in. * 19 divided by 30 * More than one answer may be correct. a. real b. natural c. whole d. irrational e. rational f. integers

Psychology

Psychology's history and Approaches Solutions

Answer the following question that relates to an ethical issue that can arise at a community level. a)Sometimes unethical situations can occur at a community level. For instance, a non- profit agency might decide to only provide housing assistance to non-minority applicants. b)Describe how you would advocate for change in this unethical situation if you were a community advocate striving to ensure equal rights for your clients.

Calculus

Vector Calculus Solutions

Show that the solution of the initial value problem y"(t) + y(t) = g(t), y(to) = 0, y'(to) = 0. y(t)= ∫ sin(t-8)g(8)ds.

Biology

Human Physiology - Circulatory System Solutions

From the options (a)-(e) below, choose the answer that best fits the following stateinent about cardiovascular function: Carries deoxygenated blood a) Atrioventricular node b) Vena cava c) Aorta d) Pulmonary vein e) Sino-atrial node