According to a recent study, more than 900 people move to Florida each day! In fact, data show that only 28% of current Florida residents were born in Florida. Let p be the proportion of people who were born in Florida out of a random sample of 256 Florida residents. Determine the following probabilities. Round solutions to four decimal places, if necessary. Find the probability that in a random sample of 256 Florida residents, greater than 18% were born in Florida. P(p > 0.18) = Find the probability that in a random sample of 256 Florida residents, between 26% and 35% were born in Florida. P(0.26 < p < 0.35) = =

4) Production costs Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces of equipment used, according to 5400 C =150x+ x> 0 where x is the number of pieces of equipment used. Using how many pieces of equipment will minimize the cost? (Show work; otherwise, no credit.) A) 9 B) 10 C) 7 D) 5 E) 6

2. 3 4 51 2. Point T is on line segment SU. Given ST = 2x + 6, TU = 4, and SU = 4x, determine the numerical length of ST. Enter work be low (double click). All steps must be shown to receive full credit. Rhiannon's work: Jack's Work: Jonathan's work: Milleena's work ST+TU=SU Victoria's Work ST= 2x+6 ST+TU=SU ST+SU=SU. 2x+6+4%3D4× ST+TU=SU. 2x+6+4=D4x 2x+10-4x 2x+6+43D4X TU= 4 2x+6+4=D4x 2x+10-4x 2x+6+43D4X 2x+10=D4x 2x+6+4=D4x 2x+10=4x 10/2=2x2 x-5 2x+10-D4x 10/2-2x/2 10 divided by 2 st-2(5)+6 st=16 10-2x 10/2=2x/2 ST=5 x-5 ST=2(5)+6 ST=10+6 x-5 x-5 ST=2(5)+6 ST= 16 if you plug in 5. ST=2(5)+6 ST=16 16 ST=16 Final Answer ST=16

Number 3; answer given as 5, 5, 6