In a study designed to predict blood cholesterol levels from amount of daily saturated fat in grams (X1) and the number of hours of daily exercise (X2), the slope of X1 is 5, the slope of X2 is –4, and the y intercept is 130.
a) If an individual reports that he or she typically eats 15 grams of saturated fat daily and exercises 1 hour every day, what would be the predicted cholesterol level for this individual?
i) -180
ii) -201
iii) -75
iv) -145

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e. g. 98.76543).

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > 2x + 3y is less than negative 3 over 2 times x minus 4part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points)part b: is the point (â’4, 6) included in the solution area for the system? justify your answer mathematically. (4 points)

Afair die is cast four times. calculate the probability of obtaining exactly two 6's round to the nearest tenth of a percent