MSA Algebra 2 Final Assessment

A researcher chooses a sample of size 100 from a population in such a way that every set of n units from that population has an equal chance of being the sample actually selected. This is a

• Stratified Random Sample

• Systematic Random Sample

• Simple Random Sample

• Cluster Sample

All human blood can be “ABO” typed as belonging to one of A, B, O, or AB types. The actual distribution varies slightly among different groups of people, but for a randomly
chosen person from North America, the following are the approximate probabilities:

         Blood Type           Probability   
               O                              0.45
               A                               0.40
               B                               0.11
              AB                             0.04



Consider an accident victim with type B blood. She can only receive a transfusion from a person with type B or type O blood. What is the probability that a randomly chosen
person will be a suitable donor?

• about 0.11

• about 0.56

• about 0.45

• about 0.04

• about 0.15

Mahmud is a high school basketball player. He is a 70% free throw shooter. That means his probability of making a free throw is 0.70. What is the probability that Mahmud makes his first free throw on his fifth shot?

• 0.0024

• 0.0057

• 0.0081

• 0.072

• 0.1681

Find a using the triangle below. Round your answer to the nearest tenth.

A test has 12 True/False questions and 8 multiple-choice questions (with 4 choices each). If you randomly guess, what is the probability of getting them all right?

A kite string makes a 62° angle with the horizontal, and 300 ft of string is let out. The string is held 6 ft off the ground. How high is the kite?

Simplify the trigonometric expression.

 $\cot^2\theta-\csc^2\theta$  

Simplify the trigonometric expression.

 $\frac{\cot\theta\sec\theta-\cot\theta}{\sin\theta\tan\theta+\cos\theta}$  

Solve the equation from  $0\le\theta<2\pi$  .

 $2\cos^2\theta-\cos\theta-1=0$  

• 44 meters

• 48 meters

• 63 meters

• 77 meters