12) A particular species of North American frog is most comfortable within a temperature range of 20 oC- 40 oC. A mating pair is sitting ~2 feet apart. The female is in a puddle containing ~100 milliliters of water. The male is sitting on a fancy copper garden ornament that weighs ~400 grams. It is a very warm day, the temperature of both the ornament and water are 33oC. The sun’s rays provide an additional 10,000 Joules of energy to both the water and the ornamental perch. Which frog will be the first to move and join its mate? Use the following formula and values to justify your answer. q= msT 1 milliliter of water = 1 gram, s for water is 4.184 Joules/g/oC, s for copper is .387 Joules/g/oC

In the fall, jay thompson decided to live in a university dormitory. he signed a dorm contract under which he was obligated to pay the room rent for the full college year. one clause stated that if he moved out during the year, he could sell his dorm contract to another student who would move into the dormitory as his replacement. the dorm cost was $5000 for the two semesters, which jay had already paid a month after he moved into the dorm, he decided he would prefer to live in an apartment. that week, after some searching for a replacement to fulfill his dorm contract, jay had two offers. one student offered to move in immediately and to pay jay $300 per month for the eight remaining months of the school year. a second student offered to move in the second semester and pay $2500 to jay. jay estimates his food cost per month is $500 if he lives in the dorm and $450 if he lives in an apartment with three other students. his share of the apartment rent and utilities will be $404 per month. assume each semester is 4.5 months long. disregard the small differences in the timing of the disbursements or receipts. what is the cost of the cheapest alternative?

Ben collins plans to buy a house for $166,000. if the real estate in his area is expected to increase in value by 2 percent each year, what will its approximate value be five years from now?

One question from a survey was "how many credit cards do you currently have? " the results of the survey are provided. complete parts (a) through (g) below. click the icon to view the survey results. (a) determine the mean number of credit cards based on the raw data. the mean is 3.113.11 credit cards. (type an integer or a decimal. do not round.) (b) determine the standard deviation number of credit cards based on the raw data. the standard deviation is 1.9111.911 credit cards. (round to three decimal places as needed.) (c) determine a probability distribution for the random variable, x, the number of credit cards issued to an individual. x (# of cards) p(x) x (# of cards) p(x) 1 0.280.28 6 nothing 2 nothing 7 nothing 3 nothing 8 nothing 4 nothing 9 nothing 5 nothing 10 nothing (type integers or decimals. do not round.)