Square OABC is drawn on a centimetre grid. "Invariant
O is (0,0) A is (3,0) Bis (3, 3) C is (0, 3)
means
у
'unchanged
6
Write down how many invariant points there are
5-
on the perimeter of the square when
4-
OABC is translated by the vector
3
3
2
1
X
0
0
1
2
3
3
4
5
6

Lines a and b are parallel. what is the value of x? -5 -10 -35 -55

Asquare and an equilateral triangle have the same perimeter. each side the triangle is 4 inches longer than each side of the square. what is the perimeter of the square

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?