EJU EJU Mathematics Course 1 Practice 3

Question 1

The probability that event A occurs is 0.4 and the probability that event B occurs is 0.3. If A and B are independent, what is P(A ∪ B)?

Accepted Answer

0.58

Answer

0.70

Answer

0.12

Answer

0.50

Question 2

Find the number of terms in the arithmetic sequence: 5, 9, 13, ..., 101.

Accepted Answer

25

Answer

24

Answer

26

Answer

20

Question 3

If f(x) = 2x + 3 and g(x) = x² - 1, what is f(g(2))?

Accepted Answer

9

Answer

7

Answer

11

Answer

13

Question 4

A circle has center (2, -3) and passes through the point (5, 1). What is the radius?

Accepted Answer

5

Answer

√7

Answer

7

Answer

√5

Question 5

The vector a⃗ = (6, 8). What is the unit vector in the direction of a⃗?

Accepted Answer

(3/5, 4/5)

Answer

(6/10, 8/10)

Answer

(3/10, 4/10)

Answer

(1/√100, 1/√100)

Question 6

Solve for x: log₃(x + 6) + log₃(x) = 3.

Accepted Answer

3

Answer

-9

Answer

3 or -9

Answer

No solution

Question 7

A binomial experiment has n = 5 trials with probability of success p = 0.4 per trial. What is the probability of exactly 2 successes?

Accepted Answer

0.3456

Answer

0.2304

Answer

0.6480

Answer

0.1728