1 2 5c 1 a 2 b 2 b 6. s 2 a 5 a 1 2 1 c 2 a 1 5 a 2 2a 2 b 1 c Enrichment Activity 13-4: Solving Trigonometric Inequalities p p 1. p # x , p or 54 # x , 32 4 2 p 2. p , x , 32 2 5c 2 a 1 b 2 2 7. 1 2 cos C 5 ab ? c 1 a 2 b ? c 2 a 1 b 2 2 2 5 ab ( s 2 b)( s 2 a) p 3. p # x # 32 2 p 4. p , x , p or 76 , x , 2p 6 p 5. a. p, 54 4 b. Graph y 5 sin x and y 5 cos x and identify intervals where the graph of sin x is below the graph of cos x. The solution is 0 # x , p or 4 5p 4 , x , 2p.
What value is stored in uninitialized variables? An uninitialized variable is by default a 0. Algorithm Workbench 3-10 3. Write assignment statements that perform the following operations with the variable a, b and c. a) Adds 2 to a and stores the result in b. { b = 2 + a } b) Multiplies b by 4 and stores the result in a.
(TCO 5) Given a Poisson distribution with mean = 2. Find P(X < 5). (Points : 3) 0.036 0.947 0.983 0.017 9. (TCO 5) Given the random variable X = {5, 6} with P(5) = 0.2 and P(6) = 0.8. Find E(X).
Which of the following statements is false? a.|“Theoretical probability” is also called “classical probability” or “a priori probability.”| b.|“Experimental probability” is another term for “relative-frequency probability.”| c.|A “sample space” is the set of all possible outcomes of a probability experiment.| d.|“Empirical probability” is another term for “subjective probability.”| ____ 4. Two identical spinners each have five equal sectors that are numbered 1 to 5. What is the probability of a total less than 9 when you spin both these spinners? a.||c.|| b.||d.|| ____ 5.
TOP: Find probabilities for binomial experiments. KEY: Probability | Binomial Experiments 31. ANS: D Identify the parameters of binomial distribution and calculate the probability of the given event using binomial expansion. |Feedback| A|This is the probability of clearing less than three hurdles.| B|The probability of clearing at least three hurdles, and not exactly three hurdles, is
Answer: False Difficulty: Medium 3. The sampling distribution of [pic] must be a normal distribution with a mean 0 and standard deviation 1. Answer: False Difficulty: Medium (REF) 4. For any sampled population, the population of all sample means is approximately normally distributed. Answer: False Difficulty: Medium 5.
On comparing this equation with standard equation of ellipse with centre (h,k) which is given by x-h2a2+y-k2b2=1 , we have , h = 3 and k = -5. Therefore, coordinates of centre of ellipse = (3, -5). b) Given equation of ellipse. On comparing this equation with standard equation of ellipse with major axis 2a and minor axis 2b which is given by x-h2a2+y-k2b2=1 , we have, a2=64=>a=8 And b2=100=>b=10 Therefore, length of major axis = 2a = 2*8 = 16. And length of minor axis = 2b = 2*10 = 20. c) From part a) and b), we have a = 8 and b = 10 and h=3,k=-5 So, c2=b2-a2=102-82=100-64=36 =>c=sqrt36= 6.
In most cases (except for the corners) the ball can be hit in two directions, so determine both answers. Record your answers in the table on the back. Also record where the letter is located (top, bottom, left, right, corner) and which pocket it exits (A, H, L or S). The first 2 (letters A and B) are already done for you. A B C D E F G H S T V U I J K R Q P O N M L Letter Location Jumps/ Exit Jumps/ Exit Letter Location Jumps/ Exit Jumps/ Exit A Corner 56 S XXX L Corner 56 H XXX B Top 16 H 40 L M Bottom 40 A 16 S C Top 32 A 24 S N Bottom 32 L 24 H D Top 48 H 8 L O Bottom 48 S 8 A E Top 8 S 48 A P Bottom 8 H 48 L F Top 24 L 32 H Q Bottom 32 S 24 A G Top 40 S 16 A R Bottom 40 H 16 L H Corner 56 L XXX S Corner 56 A XXX I Right 42 S 14 A T Left 14 L 42 H J Right 28 L 28 H U Left 28 S 28 A K Right 14 S 42 A V Left 42 L 14 H Part 2 (1 pt) What pattern do you see to predict the number of jumps a top or bottom letter takes to exit?
With the case of 90, 60, 30 and 90, 45, 45, the angles are relative to the sin of its value on the unit circle. For an example, the sin of 30 degree is ½ and the sin of 60 degree is radical 3 over 2. Same with the special right triangle of 90, 45, 45, the sin of 45 is radical 2 over 2. * Suppose that you did not have the unit circle on Circle A, but rather a circle of radius 5. Will the angle measures in degrees and/or radians change?
Then divide each term by GCF to determine what is left inside the parentheses.) Example 2: 18x2y3z5 - 24x5y2z + 30x3y4z2 Solution: 6x2y2z(3yz4 - 4x3 + 5xy2z) 2. Look to see if it is a difference between two perfect squares. (need 4