In Ontario, chemical accidents account for 1 in 5 workplace accidents. In Que- bec, out of a sample of 2,348 workplace accidents, 438 were of chemical type. Can we conclude that the proportion of chemical accidents in Quebec is lower than in Ontario? Use a significance level of 3%.

Two water taps together can fill a tank in (75/8) hours . The tap of larger diameter takes 10 hours less than the smaller one to fill the tank seperately . Find the time in which each tap can seperately fill the tank

Jessica is in a kayak 4 km offshore from a straight road. She wishes to reach a hiking trail which is located 10 km down the road from the nearest point on the road to her. She can paddle at 1 km/h and can walk along the road at 3 km/h. How many kilometers should she walk in order to minimize her travel time?

Megan is taking the bus fromNew York City to Montreal. Thedistance is 380 miles and the bustravels at a steady rate of 76 milesper hour. How long will the bus ride be?

If 3/ 4 is added to three times a number, the result is 1/2 subtracted from twice the number. Find the number.

quesiton 11

Four hoses are filling a huge vat with the perfect limeade. It takes 30 minutes for the 4hoses to fill the vat. How many vats can we fill in 1 hour with 8 hoses assuming that all vatsare the same size and all hoses pump out the perfect limeade at the same rate

Reese is installing an in-ground rectangularpool in her backyard. Her pool will be 30 feetlong, 14 feet wide, and have an average depthof 8 feet. She is installing two pipes to bringwater to fill the pool; these pipes will also beused to drain the pool at the end of eachseason. One pipe can fill and drain the pool ata rate that is 1 more than 2 times faster thanthe other pipe. If both pipes are open andworking properly, it will take 3.5 hours to fillthe pool.  When Reese opens the pipes to fill the pool, she finds that only the slower pipe is working. Write a rational equation that you can use to find out how long it will take to fill the pool under these circumstances. Explain how you came up with your equation.

Each machine at a certain factory can produce 90 units per hour. The setup cost is 45 dollars for each machine and the operating cost is 19 dollars per hour (total, not 19 dollars per machine per hour). You would like to know how many machines should be used to produce 10000 units, with the goal of minimizing production costs. First, find a formula for the total cost in terms of the number of machines, n: TC = 45n+19(10000/(90n)) The minimum total cost is achieved when using machines for a total cost of dollars.

Solve for x:5/8 x + 1/16 x = 11/16 + x.