In each of (a)–(f), answer the following questions: Is A ⊆ B? Is B ⊆ A? Is either A or B a proper subset of the
other?
a. A = {2,{2}, (√2)2}, B = {2, {2}, {{2}}}
b. A = {3,
√52 − 42, 24 mod 7}, B = {8 mod 5}
c. A = {{1, 2}, {2, 3}}, B = {1, 2, 3}
d. A = {a, b, c}, B = {{a}, {b}, {c}}
e. A = {√16, {4}}, B = {4}
f. A = {x ∈ R | cos x ∈ Z}, B = {x ∈ R | sin x ∈ Z}

The krasnapolski is a top-of-the-line hotel in amsterdam, the netherlands. among their many services, they rent bicycles to guests. the bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. on average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. guests keep bicycles for four days on average, with a standard deviation of two days. how long does a guest on average have to wait for a bike? a. approximately 24 hours b. approximately 0.033 hours c. approximately 4 days d. approximately 47 minutes

Select all of the following expressions that are equal to 2.5.

Acell phone company offers two plans to its subscribers. at the time new subscribers sign up, they are asked to provide some demographic information. the mean yearly income for a sample of 40 subscribers to plan a is $45,000 with a standard deviation of $9,200. for a sample of 25 subscribers to plan b, the mean income is $64,300 with a standard deviation of $7,100. at the 0.025 significance level, is it reasonable to conclude the mean income of those selecting plan b is larger? assume unequal population standard deviations. hint: for the calculations, assume the plan a as the first sample. what is the decision rule? (negative amount should be indicated by a minus sign. round your answer to 3 decimal places.) compute the value of the test statistic. (negative amount should be indicated by a minus sign. round your answer to 2 decimal places.) what is your decision regarding h0 ? reject h0 fail to reject h0 compute the p-value. less than 0.01 between 0.01 and 0.025 between 0.025 and 0.05 between 0.05 and 0.10 greater than 0.10