The phases of the moon are periodic and repetitive. a new moon occurs when no moon is visible to an observer on earth. during the first quarter, half of the side of the moon facing the earth is visible. during a full moon the entire side of the moon is visible. during the last quarter the other half of the side of the moon facing earth is visible. the u. s. naval observatory lists the following dates for phases of the moon in the year 2008. date moon phase x: days since jan. 8 y: the amount of moon visible jan 8 new 0 0 jan 15 1st quarter 7 0.5 jan 22 full 13 1 jan 30 last quarter 22 0.5 feb 7 new 30 0 feb 14 1st quarter 37 0.5 feb 21 full 44 1 feb 29 last quarter 52 0.5 mar 7 new 59 0 mar 14 1st quarter 66 0.5 a table with the months listed down the side and date, moon phase, x: days since jan 8, and y: the amount of moon visible across the using the information above, plot the data points and produce a sine regression model for the data. round a, b, c, and d to the nearest 0.001 a. y= 0.508 sin (.212x + 1.529) b. y= 0.508 sin (.212x -1.529) c. y= 0.508 sin (.212x -1.529) d. y= 0.512 sin (1.529x - .212)

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:

If a || b and e || f , what if the value of y ?

What is the equation of the line that is parallel to the line with the equation y= -3/4x +1 and passes through the point (12,-12)