College Algebra Week 4 - Assignment4-Class2

Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of the first 11 terms of the geometric sequence: -7, -14, -28, -56, -112, . . . . 6. -112 * 2 = -224 7. -224 * 2 = -448 8. -448 * 2 = -896 9. -896 * 2 = -1792 10. -1792 * 2 = -3584 11. -3584 * 2 = -7168 -7168 + -3584 + -1792 + -896 + -448 + -224 + -112 + -56 + -28 + -14 + -7 = -14, 329

-14,329

Find the probability. A 6-sided die is rolled. What is the probability of rolling a number less than 3?

1/3

Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r. Find a9 when a1 = 4, r = 2. formula: an = a1*r^n-1 n=9 a9 = 4(2)^9-1 = 4(2)^8 = 4(256) = 1024

1024

Solve the problem. A church has 9 bells in its bell tower. Before each church service 5 bells are rung in sequence. No bell is rung more than once. How many sequences are there? nPr = n! / (n-r)! 9P5 = 9! / (9-5)! =9! / 4! = 9*8*7*6*5*4*3*2*1 \ 4*3*2*1 = 9*8*7*6*5 = 15,120

15,120

If the given sequence is a geometric sequence, find the common ratio. 4/3, 8/3, 16/3, 32/3, 64/3

2

Find the probability. What is the probability that a card drawn from a deck of 52 cards is not red?

25/52

Solve the problem. Round to the nearest hundredth of a percent if needed. Measurements of the height of a group of men entering a particular college produced the following table. What is the probability that a man entering the college is 68-69 inches tall? 60-61: 3 62-63: 15 64-65: 82 66-67: 219 68-69: 275 70-71: 198 72-73: 105 74-75: 39 76+: 5 3 + 15 + 82 + 219 + 275 + 198 + 105 + 39 + 5 = 941 275 / 941 = .2922 => 29.22%

29.22%

Solve the problem. Round to the nearest hundredth of a percent if needed. A traffic engineer is counting the number of vehicles by type that turn into a residential area. The table below shows the results of the counts during a four-hour period. What is the probability that the next vehicle passing is an SUV? Vehicles | Numbers Car: 280 SUV: 419 Van: 65 Small Truck: 278 Large Truck: 227 Dump Truck: 22 other: 63 Total: 1354 vehicles 419/1354 = .30945 => 30.95%

30.95%

Solve the problem. How many 3-letter codes can be formed using the letters A, B, C, D, and E? No letter can be used more than once. 5*4*3*2 = 120 120/3 = 40

40 incorrect

Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r. Find a12 when a1 = 4000, r = 1/3 1 (1/3)^12-1 => (1/3)^11 = 4000 / 177147

4000 / 177147

Write the first five terms of the geometric sequence. an = -8an-1; a1 = 5

5, -40, 320, -2560, 20,480

Find the probability. A bag contains 5 red marbles, 6 blue marbles, and 2 green marbles. What is the probability of choosing a blue marble when one marble is drawn?

6/13

Solve the problem. In how many ways can 6 players be assigned to 6 positions on a baseball team, assuming that any player can play any position? 6*5*4*3*2*1 = 720

720 ways

Find the probability. A bag contains 17 balls numbered 1 through 17. What is the probability of selecting a ball that has an even number when one ball is drawn from the bag? 1

8/17

Write a formula for the general term (the nth term) of the geometric sequence. 2, -4, 8, -16, 32, . . .

an = a1 - 2n incorrect