Rachel is placing playing cards on a table by following these steps. Step 1: First she places one card in the middle of the table.

Step 2: Next she adds one more card directly to the left, to the right, above, and below the first card.

Step 3: Next she adds one more card directly to the left, to the right, above, and below the cards that were already on the table. The cards form the pattern shown.

An image shows a middle card, two cards on the left of the middle card, two above the middle card, two below the middle card, two to the right of the middle card.

If Rachel continues the same pattern, how many cards will be on the table after Rachel completes Step 4?
Write the first 6 terms of the sequence that represents the total number of cards on the table after each step.
Describe the pattern in the sequence.

Solve x+3y=6 and 4x-6y=6 by elimination . show work !

What is the name of a polygon that has four congruent sides and theses angle measures 60,120,60,120?

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?