Linear and Quad
Probability
Trig Functions
100
Solve:
(x+1)/4−(2x−1)/6=x
5/13
100
Jack had 4 Snicker bars and 8 Mars bars. He randomly chose a piece of candy, ate it, then chose another.
A) Are these events Dependent or Independent?
B) What is the probability that both candy bars were snickers?
A) dependent
B) 4/12 * 3/11= 1/11
100
Write the equation of the graph below:
y = –cos (x)
200
Solve the simultaneous equations
2x−y=10 and x+2y=0
𝑥=4 and 𝑦=−2
200
On a spinner labeled with numbers 1-10, where each number is equally likely to be spun, determine the probability of spinning an odd number or a multiple of 3
3/5
P(odd) = 5/10
P(multiple of 3) = 3/10
P(odd and multiple of 3)= 2/10
5/10 + 3/10 - 2/10 = 6/10 = 3/5
200
Sketch the graph of y = 1 – cos (x).
300
What is (are) the value(s) of 𝑚 that will give the equation mx^2+6x−3=0 two solutions ?
𝑚>−3
300
If 𝐴 and 𝐵 are independent events such that P(𝐴)=0.35, and P(𝐵)=0.46, then P(𝐴∪𝐵) is equal to?
0.649
300
Expand sin (2x + 4y).
sin (2x) cos (4y) + cos (2x) sin (4y)
400
Describe the number and nature of the solutions of the equation
4x^2 + 0x – 1 = 0.
Find the dicriminant.
a = 4, b = 0 and c = –1, so
Δ = b^2 – 4ac = 16.
The discriminant is a perfect square, so two rational solutions.
400
Georgia is choosing her five subjects for Year 12. She has already chosen three subjects. For the remaining two she will choose one of the three mathematics subjects, and either one of five languages or one of three science subjects. How many different subject combinations are possible?
24
400
Sketch the graph of y = 2 + 4 cos ( x –π/6 ) for 0 ≤ x ≤ 4π .
500
What is the quadratic 5x^2−10x−2
in turning point form a(x−h)^2+k
(use completing the square)
5(x-1)^2-7
500
If for two events 𝐴 and 𝐵, P(𝐴)=3/8
P(A)=3/8, P(B)=4/7 and Pr(𝐴∩𝐵)=8/21, then P(𝐴|𝐵) is equal to?
2/3
500
On a c d = 7 − 4 cos ( (4π(t − 2)) / 23)meters, where t is the number of hours after midnight. A ship needs a depth of at least 9 m of water to safely cross the sandbar. The ship is ready to leave at 11 a.m. At what time will it be safe to cross the rocks?
1720 hours or 5:20 p.m.