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Let K be the Tychonoff-C? ech compactification of R. Show that addition from R × R onto R cannot be extended to a continuous function S from K × K into K . Hint: Let xα be a net in R converging in K to a point x ∈ K \R. Then -xα converges to some point y ∈ K \R. If S exists, then S(x, y) = 0 ∈ R. Then by Problem 4 there must be neighborhoods U of x and V of y in K such that S(u, v) ∈ R and |S(u, v)| <>1 for all u ∈ U and v ∈ V . Show, however, that each of U and V contains real numbers of arbitrarily large absolute value, to get a contradiction.
on a recent prostate cancer screening test bobo received positive results. it is known that this type screening test
When creating a 99% confidence interval for the true average difference in cholesterol levels by the drug, what is the margin of error?
Lipitor is a drug used to control cholesterol. In clinical trials of Lipitor, 94 subjects were treated with Lipitor and 270 subjects were given a placebo.
A "one-shot" device can be used only once; after use, the device (e.g. a nuclear weapon, space shuttle, automobile air bag) either is destroyed or must be rebuilt.
Using these data, construct a 95% confidence interval to estimate the average number of days a car is rented out. Assume that the number of days a car is rented is normally distributed in the population. What can you conclude from your calculations?
an observation that does not fit the pattern of the rest of the data is called anoutliercritical valuepredictordummy
a new car that is a gas- and electric-powered hybrid has recently hit the market. the distance travelled on 1 gallon of
an industrial hygienist want to be able to estimate the level of carbon monoxide in a plant at the a 0.01 level.
random sample of 120 households, what is the probability that greater than 20 households but less than 35 households receive retirement income?
a local unemployment office keeps track of the number of new claims filed each day. based on data collected it
question ameesha drove car at 80 kmph and missed the flight by 5 min. if she drove at 100 kmph she would have reached
the financial industry earnings per share last year were 3. this year earnings per share in 10 financial companies were
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