The conversation of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 square feet. Let Y represent the number of square yards and x the number of square feet. Then y varies directly with x. What is the constant of variation? What is the equation representing a direct variation?

In trapezoid efgh, m∠gfe=63∘. identify m∠ghe. !

Rewrite the following quadratic functions in intercept or factored form. show your work. y = 4x^2 - 19x- 5

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?