A company makes blocks of butter in the shape of a rectangular prism with dimensions 4 inches by 2 inch by 1 inch. They want to make a new block, in the shape of a rectangular pyramid, that uses the same amount of butter. What are two sets of possible dimensions for the pyramid?

Acharity is conducting a raffle, and it sells one ticket each to 35 women and 21 men. if 5 winners are randomly selected, what is the probability that they are all men? round to five decimal places. 0.00533 0.06268 0.09537 0.07776

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

Adriana sold 50 shares of a company’s stock through a broker. the price per share on that day was $22.98. the broker charged her a 0.75% commission. what was adriana’s real return after deducting the broker’s commission? a. $8.62 b. $229.80 c. $1,140.38 d. $1,149.00