Question Help About 6% of the population of a large country is hopelessly romantic. If two people are randomly selected, what is the probability both are hopelessly romantic? What is the probability at least one is hopelessly romantic? Assume the events are independent. (a) The probability that both will be hopelessly romantic is (Round to four decimal places as needed.)​

0.0144

Step-by-step explanation:

Step-by-step explanation:

Both

P(both) = 6/100 * 6/100 = 36/10000 = 0.0036

At Least one

Just One

94/100 * 6/100 =  564/10000 = 0.0546    

Both                                            0.0036

Total                                             0.06

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92