Tommy is making banana bread for a bake sale to raise money for his Crew Team. A loaf of banana bread takes 2 cups of flour and 2cups of sugar. A loaf of zucchini bread takes 3cups of flours and 1.5 cup of sugar. Tommy has 12 cups of flour and 9cups of sugar on hand. He can make $2 profit per loaf for the banana bread and $3 per loaf of the zucchini bread. How many loaves of each type should Tommy make in order to maximize his profit?

If h(x) = f[tex]h(x) = f[/tex] ° [tex]g) (x)[/tex] and [tex]h(x) = \sqrt[3]{x+3}[/tex], find [tex]g(x)[/tex] if [tex]f(x) = \sqrt[3]{x +2}[/tex] ·

State whether weight is a function of height for the six students and explain. a. yes, height is a function of weight because two students weigh 165 pounds but have different heights. b. no, height is not a function of weight because two students weigh 165 pounds but have different heights. c. yes, weight is a function of height because for each value of height there is one corresponding value of weight. d. no, weight is not a function of height because there is not enough data to determine a function.

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.1. (round your answers to four decimal places.) (a) if the distribution is normal, what is the probability that the sample mean hardness for a random sample of 8 pins is at least 51?