From the following list of hypothetical situations, identify those that are independent events using the given probabilities of each event and the formal definition of independence. A. In a yearly highway study, 40% of the drivers were speeding, 10% of the drivers got into an accident, and 5% of the drivers were speeding and got into an accident.
B. In a yearly study of an animal shelter, 54% of the animals were adopted, 52% of the animals were dogs, and 33% of the animals were adopted and were dogs.
C. In a yearly weather survey of a city, 32% of the days had precipitation, 25% of the days were weekend days, and 8% of the days had precipitation and were weekend days.
D. In a college course survey, 20% of students received an A in chemistry, 25% of students received an A in biology, and 5% of students received an A in both chemistry and biology.

Which themes are portrayed in this excerpt from leo tolstoy’s the death of ivan ilyich? praskovya fedorovna came of a good family, was not bad looking, and had some little property. ivan ilyich might have aspired to a more brilliant match, but even this was good. he had his salary, and she, he hoped, would have an equal income. she was well connected, and was a sweet, pretty, and thoroughly correct young woman. to say that ivan ilyich married because he fell in love with praskovya fedorovna and found that she sympathized with his views of life would be as incorrect as to say that he married because his social circle approved of the match. he was swayed by both these considerations: the marriage gave him personal satisfaction, and at the same time it was considered the right thing by the most highly placed of his associates. so ivan ilyich got married. conforming to social conventions criticism of a middle class lifestyle the destructive impact of loneliness struggling to face reality the necessity of companionship

Which of the following parabolas opens up?

You eat $0.85 for every cup of hot chocolate you sell. how many cups do you need to sell to earn $55.25