Y8 Final Exam

3

100

Explain the distinction between integers and whole numbers.

integers: ...-2, -1, 0, 1, 2...

whole numbers: 0, 1, 2...

200

The shape a quadratic equation makes is called a...

parabola

400

Explain how the determinant determines the number of real solutions to a quadratic equation.

The determinant is b² - 4ac

If > 0, the equation has 2 real solutions

If = 0, the equation has 1 real solution

If < 0, the equation has 0 real solutions

More

100

A line has points at (-3, 5) and (1, 7). Write its slope-intercept form.

y = 0.5x + 6.5

200

Solve: x² - 6x - 27 = 0

x = -3, 9

300

Solve: x² - 8x + 5 = 0

x = 4 +/- sqrt(11)

400

Complete the square: x² - 3x + 5 = 0

(x - 3/2)² + 11/4

500

Solve: 6x² - 4x + 2 = 0

x = 1/3 +/- i*sqrt(2)/3

Weeks

100

P(A) = P(A|B) means that A and B are....

Independent

200

What's the formula for P(A∩B) if A and B are independent?

P(A) * P(B)

300

What's the formula for P(AUB) is A and B are independent?

P(A) + P(B) - P(A)*P(B)

400

What does Disjoint mean?

Two events are not independent

500

If Jerry makes 80% of his free throws, what is the probability he makes exactly 4 out of 5 attempted free throws? (round to the nearest percent)

About 41%

P(x=4) = 5c4 * 0.8⁴ * 0.2¹ = ~0.41