4) Show that each x EX is contained in an open subset Ur of X such that U is a Baire space for the topology induced on the subset U CX.

If New Hampshire's population was 1.4 million in 2018 and there were 1.3 million motor vehicle registrations what is the ratio of people to vehicle in New Hampshire?

After running a mile a day over a period of two weeks, the average amount of weight loss is 2.5 pounds. A dietitian, who publishes health articles in a newspaper, states their new diet program helps with additional weight loss when combining their special diet with running a mile a day over a period of two weeks. Interested in studying the dietitian's article further, you ask friends who have tried the dietitian's new program and you determine their weight loss to be 3.0 pounds in a two-week period, on average. As you set up a hypothesis test to determine if the dietitian's article is correct, what is the dietitian's claim?

Hectic Repair Org. HRO) helps repair homes that are structurally weakened by minor earthquakes.  After an earthquake, SmartProtect, an insurance company of some affected customers in the area estimates that the standard time to perform a preliminary damage assessment on an average-sized house would be about two hours. On behalf of the affected customers, SmartProtect is willing to pay a HRO employee doing such damage assessments $65 per hour. Suppose that Michael (an employee at HCRO who does flood damage assessment)  takes three hours to complete the assessment on an average-sized house. What is Michael efficiency based on the standard time estimated by SmartProtect? a. Approximately one hundred and fifty percent. b. About one-third of an assessment job per hour c. Approximately one hundred and thirty dollars per assessment d. Approximately one hundred and ninety five dollars per assessment (before taxes) e. Approximately sixty seven percent.

Day traders typically buy and sell stocks (or other investment instruments) during the trading day and sell all investments by the end of the day. The following table shows the closing prices on September 22, 2015, of 12 stocks selected by your broker, Prudence Swift, as well as the change that day. Tech Stocks Close Change AAPL (Apple) $113.40 -1.81 ADBE (Adobe Systems) $84.66 1.34 EBAY (eBay) $25.61 -0.31 MSFT (Microsoft) $3.90 -0.21 S (Sprint) $4.40 0.02 WIFI (Boingo Wireless) $8.51 0.56 Non-Tech Stocks ANF (Abercrombie & Fitch) $21.81 -0.02 в (Воeing) $133.99 -2.03 F (Ford Motor Co.) $13.91 -0.40 GE (General Electric) $25.10 0.01 GIS (General Mills) $57.12 0.33 JNJ (Johnson & Johnson) $93.26 0.13 On the morning of September 22, 2015, Swift advised you to purchase a collection of three tech stocks and two non-tech stocks, all chosen at random from those listed in the table. You were to sell all the stocks at the end of the trading day. (a) How many possible collections are possible?…

Explain the principle of “avoid accidental activation”