In 2017, sarah (who files as single) had silverware worth $10,000 (basis $6,000) stolen from her home. her insurance company told her that her policy did not cover the theft. in 2017, sarah's other itemized deductions were $2,000, and she had agi of $30,000. in february 2019, sarah's insurance company decided that sarah's policy did cover the theft of the silverware and they paid sarah $5,000. determine the tax treatment of the $5,000 received by sarah during 2019. a.$5,000 should be included in gross income. b. last year's return should be amended to include the $5,000. c. none of the $5,000 should be included in gross income. d.$2,900 should be included in gross income. e. none of these choices are correct.

Find the perimeter of the figure shown above. a. 50 cm c. 30 cm b. 64 cm d. 60 cm select the best answer from the choices provided a b c d

In tossing one coin 10 times, what are your chances for tossing a head? a tail? 2. in tossing one coin 100 times, what are your chances for tossing a head? a tail? 3. in tossing one coin 200 times, what are your chances for tossing a head? a tail? deviation = ((absolute value of the difference between expected heads and observed heads) + (absolute value of the difference between expected tails and observed tails)) divided by total number of tosses. this value should always be positive. 4. what is the deviation for 10 tosses? 5. what is the deviation for the 100 tosses? 6. what is the deviation for 200 tosses? 7. how does increasing the total number of coin tosses from 10 to 100 affect the deviation? 8. how does increasing the total number of tosses from 100 to 200 affect the deviation? 9. what two important probability principles were established in this exercise? 10. the percent of occurrence is the obtained results divided by the total tosses and multiplied by 100%. toss the coins 100 times and record your results. calculate the percent occurrence for each combination. percent head-head occurrence: percent tail-tail occurrence: percent head-tail occurrence:

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)