# A+ answers | Mathematics homework help

1. Assume the hurry of vehicles parallel a extend of I-10 has an abutly usual dispensation after a while a balance of 71 mph and a banner inconsequence of 8 mph.

a. The prevalent hurry designation is 65 mph. What is the correlation of vehicles less than or suitent to the hurry designation?

b. What correlation of the vehicles would be going less than 50 mph?

c. A new hurry designation conciliate be inaugurated such that abutly 10% of vehicles conciliate be aggravate the hurry designation. What is the new hurry designation fixed on this touchstone?

d. In what way do you apprehend the specific dispensation of hurrys differs from a usual dispensation?

2. A order of students at a ground takes a truth touchstone. The dispensation is usual after a while a balance of 25, and a banner inconsequence of 4.

(a) Everyone who beaks in the top 30% of the dispensation gets a certificate. What is the last beak someone can get and quiet merit a certificate?

(b) The top 5% of the beaks get to cope in a declarewide truth question. What is the last beak someone can get and quiet go onto cope after a while the cessation of the declare?

3. Use the usual dispensation to abut the binomial dispensation and furnish the presumption of getting 15 to 18 heads out of 25 flips. Compare this to what you get when you apportion the presumption using the binomial dispensation. Transcribe your answers out to immodest decimal places.

4. The resigned replacement occasion from a detail surgical process is usually picked after a while a balance of 5.3 days and a banner inconsequence of 2.1 days. What is the median replacement occasion? a. 2.7 b. 5.3 c. 7.4 d. 2.1

5. Top and ponderosity are two measurements used to trail a slip’s product. The World Health Organization measures slip product by comparing the ponderositys of slipren who are the similar top and the similar gender. In 2009, ponderositys for all 80 cm girls in the intimation population had a balance μ = 10.2 kg and banner inconsequence σ = 0.8 kg. Weights are usually picked. X ~ N(10.2, 0.8). Apportion the z-scores that suit to the aftercited ponderositys and decipher them.

a. 11 kg

b. 7.9 kg

c. 12.2 kg

6. In China, immodest-year-olds mean three hours a day unsupervised. Most of the unsupervised slipren feed in verdant areas, considered unendangered. Suppose that the banner inconsequence is 1.5 hours and the total of occasion spent unmatched is usually picked. We accidentally picked one Chinese immodest-year-old food in a verdant area. We are assiduous in the total of occasion the slip wastes unmatched per day.

a. In vote, elucidate the accidental capricious X.

c. Furnish the presumption that the slip wastes less than one hour per day unsupervised. Sketch the graph, and transcribe the presumption declarement.

d. What percent of the slipren waste aggravate ten hours per day unsupervised?

e. Seventy percent of the slipren waste at last how covet per day unsupervised?

On mean, 28 percent of 18 to 34 year olds control their Facebook profiles antecedently getting out of bed in the morning. Suppose

this percentage follows a usual dispensation after a while a banner inconsequence of five percent.

a. Furnish the presumption that the percent of 18 to 34-year-olds who control Facebook antecedently getting out of bed in the

morning is at last 30.

b. Furnish the 95th percentile, and specific it in a decision.