Kelly sells magazine subscriptions after work. The half year subscriptions cost $12, and the full-year subscriptions cost $20. Today, Kelly has 20 subscription cards with her, only one subscription can be ordered on each card, and she wants to sell subscriptions totaling at least
$300
if the solution region represents the amount of half year and full-year magazine subscriptions Kelly needs to sell to reach her goal, which
graph's shaded area represents the solution region?
20
20
16
161
12
Full-Year Subscriptions
1
81
Full-Year Subs
8 12 16 20 24
Half-Year Subscriptions
W
Half-Year Subscriptions
criptions
10
10

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

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.1. (round your answers to four decimal places.) (a) if the distribution is normal, what is the probability that the sample mean hardness for a random sample of 8 pins is at least 51?

On a string instrument, the length of a string varies inversely as the frequency of its vibrations. an 11-inch string has a frequency of 400 cylces per second. find the frequency of a 10-icnch string.