The follovwing two-way table shows the distribution of a random sample of travelers and their preferences for
accommodations and method of travel.
Suppose a traveler is selected from this sample at
random. Let event A= home sharing and event B = fly.
Are events A and B independent?
Method of Travel
O No, P(A) = P(AJB).
O No, P(A) P(B|A).
O Yes, PA) = P(A|B).
O Yes, PA) P(BIA).
Drive
Fly
Total
Home
Sharing
16
20
Hotel
64
16
80
Total
80
20
100

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

If the measure of angle 1 is 110 degrees and the measure of angle 3 is (2 x+10 degree), what is the value of x?

The average human heart beats 1.15 \cdot 10^51.15⋅10 5 1, point, 15, dot, 10, start superscript, 5, end superscript times per day. there are 3.65 \cdot 10^23.65⋅10 2 3, point, 65, dot, 10, start superscript, 2, end superscript days in one year. how many times does the heart beat in one year? write your answer in scientific notation, and round to one decimal place.