Each of the following expressions has a single numerical value for all θ where the expression is defined. Determine the numerical value of each expression and make sure to enter a single number. √36⋅cos^2(θ)+36⋅sin^2(θ)=

7/sec^2(θ)−tan^2(θ)=

(cos^2(θ)+sin^2(θ))(sec^2(θ)−tan^ 2(θ))=

sin(θ)/csc(θ)+cos(θ)/sec(θ)=

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Use the quadratic formula to solve the equation. if necessary, round to the nearest hundredth. x^2 - 20 = x a. 5, 4 b. -5, -4 c. -5, 4 d. 5, -4

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?

Sun country bus lines has 80000 shares of stock outstanding what would the dividend per share of stock be from a dividends declaration of 109600