The length of a rectangle is 6 inches longer than its width. the perimeter of the rectangle is 28 inches. if x represents the width
of the rectangle in inches, which equation can be used to find its value?
x + 6 + 2x = 28
6x + 6x + x + x = 28
2(x + 6) = 28
2(x + 6) + 2x = 28

Three baby penguins and their father were sitting on an iceberg 0.50.50, point, 5 meters above the surface of the water. the father dove down 4.74.74, point, 7 meters from the iceberg into the water to catch dinner for his kids. what is the father penguin's position relative to the surface of the water?

Select the correct answer what is the most direct use of a compass in geometric constructions? a. to draw congruent angles b. to draw arcs of a given size c. to draw perpendicular lines d. to draw straight lines reset next next

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?