1. Find a • b. a = <7, 4>, b = <3, 5>

A. 41
B. <10, 9>
C. -1
D. <21, 20>

2. Find a • b.
a = 10i + 9j, b = 4i + 3j

A. <40, 27>
B. <14, 12>
C. 67
D. -13

3. Find the angle between the given vectors to the nearest tenth of a degree.
u = <8, 7>, v = <9, 7>

A. -8.3 degrees
B. 1.7 degrees
C. 3.3 degrees
D. 13.3 degrees

4. Determine whether the vectors u and v are parallel, orthogonal, or neither.
u = <10, 6>, v = <9, 5>

A. Orthogonal
B. Parallel
C. Neither

5. Evaluate the expression:
v•w
Given the vectors:
r = <5, -5, 2>; v = <2, -8, -8>; w = <-2, 6, -5>

Kevin is an insurance salesman. when he sells a policy, he makes 20 percent of the policy premium (p) up front; then each year the policy is active, he receives 15 percent of the original premium. which equation could be used to figure his total commission on a policy that has been active for five years? c=0.80p c=0.20p + 0.15p c=0.35p + 4(0.15) c=0.95p

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:

One integer is 5 more than another. their product is 104. find the integers