A quality control inspector accepts shipments of 500 precision ½" steel rods if the mean diameter of a sample of n = 100 falls between 0.4995" and 0.5005". Previous evaluations have established that the standard deviation for individual rod diameters is 0.003".

a. Determine the probability that the inspector will accept an almost out-of-tolerance shipment that actually has H 0.5003 cm.

b. Determine the probability that the inspector will (mistakenly) reject a near-perfect shipment that actually has u = 0.4999 cm.

Shane can shovel the driveway in 4 hours, but if his sister it would take 2 hours. how long would it take taylor to shovel the driveway alone

Students at a high school were asked about their favorite outdoor activity. the results are shown in the two-way frequency table below. fishing camping canoeing skiing total boys 36 44 13 25 118 girls 34 37 22 20 113 total 70 81 35 45 231 select all the statements that are true based on the given table. more girls chose camping as their favorite outdoor activity than boys. more girls chose canoeing as their favorite outdoor activity than those who chose skiing. more boys chose skiing as their favorite outdoor activity than girls. there were more boys surveyed than girls. twice as many students chose canoeing as their favorite outdoor activity than those who chose fishing. more students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.

What are two numbers that add up to -9 and multiply to -10 best answer gets branliest and 100 extra points