**Digit Sequences Algebra & Caculus – Mathematics**

This exam covers Digit Sequences Algebra & Calculus – Mathematics.

At East Zone University (EZU) there are 566 students taking College Algebra or Calculus. 329 are taking College Algebra, 248 are taking Calculus, and 11 are taking both College Algebra and Calculus. How many are taking Algebra but not Calculus?

555

**318 – correct**

237

307

A 10-question multiple choice test has 4 possible answers for each question. A student selects at least 6 correct answers.

**.020 – correct**

.118

.995

.989

The probability that a radish seed will germinate is .7. The gardener plants 20 seeds and she harvests 16 radishes.

**.130 – correct**

.571

.075

.068

Find the number of subsets of the set. {mom, dad, son, daughter}

**16 – correct**

8

14

12

College students were given three choices of pizza toppings and asked to choose one favorite. The following table shows the results.

Find the probability that a randomly selected student prefers a meat topping.

**.340 – correct**

.173

.059

.329

How many different 3-digit sequences can be formed using the digits if repetition of digits is allowed?

27

0.0047619

**1000 – correct**

729

Insert “⊆” or “⊈” in the blank to make the statement true. {2, 4, 6} {1, 2, 3, 4, 6}

⊈

**⊆ – correct**

One card is selected from a deck of cards. Find the probability of selecting a black card or a king.

1/26

27/52

**7/13 – correct**

15/26

Find the probability of the given event.

A card drawn from a well-shuffled deck of 52 cards is an ace or a 6.

7

7/26

**2/13 – correct**

13/2

If a single fair die is rolled, find the probability of a 4 given that the number rolled is odd.

**0 – correct**

1/6

1

1/2

#### Digit Sequences Algebra & Calculus

Determine whether the given ordered pair is a solution of the equation. x^{2} + y^{2} – 8x + 8y = -7; (4, -1)

Yes

**No – correct**

In how many ways can 3 letters be chosen from the set if order is important and no repeats are allowed?

**120 – correct**

216

20

18

Find an equation of the the line through the point (5, 2) and perpendicular to -5x + 7y = 31.

**7x + 5y = 45 – correct**

– 5y + 7x = 31

7x – 5y = 45

-5x – 7y = 45

If two fair dice are rolled, find the probability of a sum of 6 given that the roll is a double.

**1/6 – correct**

1/4

1/3

1/5

How many different 4-letter radio station call letters can be made if repeats are allowed and the first letter must be K.

1000

78

456,976

**17,576 – correct**

If two cards are drawn without replacement from an ordinary deck, find the probability that the second card is a spade, given that the first card was a spade.

**4/17 – correct**

11/12

3/13

11/51

Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represent the probability.

Three coins are tossed, and the number of tails is noted.

** D – correct**

One card is selected from a deck of cards. Find the probability of selecting a red card or a diamond.

3/4

0

**1/2 – correct**

1/4

A family has five children. The probability of having a girl is . What is the probability of having exactly 2 girls and 3 boys?

**.3125 – correct**

.0625

.6252

.0312

Find the slope of the line through (4, -7) and (6, 3)

**5 – correct**

Undefined

2

10

Find the x-intercepts and y-intercepts of the graph of the equation. 2x + y = 2

x-intercept: 2; y-intercept: 1

x-intercept: -3; y-intercept: 8

x-intercept: 8; y-intercept: -3

**x-intercept: 1; y-intercept: 2 – correct**

Find the probability of the given event.

A bag contains 8 red marbles, 3 blue marbles, and 1 green marble. A randomly drawn marble is not blue.

9

1/4

4/3

**3/4 – correct**

Find the expected value of the random variable in the experiment.

Three coins are tossed, and the number of tails is noted.

1.75

**1.5 – correct**

2

1

How many ways can 6 people be chosen and arranged in a straight line if there are 8 people to choose from?

**20,160 – correct**

40,320

48

720

Suppose you buy 1 ticket for $1 out of a lottery of 1000 tickets where the prize for the one winning ticket is to be $500. What are your expected winnings?

-$.40

$0

**-$.50 – correct**

-$1.00