Steps
result
(2x - 3)( 5x2 – 2x+7)
use the distributive property to multiply
2x times each term in the trinomial.
10x3 - 4x2 + 14x
(result for this step only)
2 use the distributive property to multiply
-3 times each term in the trinomial.
10x - 4x? + 14x – 15x² - 6x-
(result for step 1 and 2)
| 10² – 19x² + 144 – 6x-21
3 use the addition property to combine
the x? terms.
4 use the addition property to combine
the x terms
10x3 - 19x2 +8x-21
in which step did fiona make an error?

Afamily has five members. a mom, a dad, two sisters, & a brother. the family lines up single file. what is the probabillity that the mom is at the front of the line

Michelle is planting flowers in her garden. she wants the ratio of daises to carnations to be 3 to 2. michelle wants to plant a total of 35 flowers. how many daises should she plant?

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?