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The average dividend yield of a random sample of 20 JSE-listed companies this year was found to be 14.5%, with a sample standard deviation of 3.4%. Assuming that dividend yields are normally distributed: a. calculate, with 90% confidence, the actual mean dividend yield of all JSE-listed companies this year. Interpret the findings. (8) b. calculate, with 98% confidence, the actual mean dividend yield of all JSE-listed companies this year. (8) c. compare and comment on the intervals calculated above. (4)

A project that starts slowly and builds progressively over time often at a steady pace is called what? S-type product T-type product J-type product D-type product

What do onsite and commercial foodservices have in common?

What is the advantage of using experiments over correlational studies?

If we had to close down a major thorough fair during the incident. What block in the incident status summary ICS form 209 would we used to notice this action?

Two dice are thrown. Let E be the event that the sum of the dice is odd, let F be the event that at least one of the dice lands on 1, and let G be the event that the sum is 5. List the elements in the events E∩F, E∪F, F ∩G, E∩Fc, and E ∩F ∩G

How does inflation typically affect bond yeilds

Define the term "weldability" with reference to carbon steel.

4. The “Fourth Problem” is a problem that arises whenever the first derivative and second derivative of a vector function are orthogonal to one another. For ????(????) = 〈3,5 cos ????, 2 tan ????〉, find a value of ????, rounded to the nearest degree, that causes the “Fourth Problem” to occur? [8 points] 5. “They took my pet goose!” the old man pleads with you. “They got on the train that follows the track defined by ????(????) = (12 sin ????)???? − (12 cos ????)???? + 5???????? and travelled a length of 13???? from the point (0, −12,0) in the direction corresponding to increasing ???? values.” Help the man get his goose by finding the point at which they stopped. [6 points]6. The Duke of Roller Coasters has hired you to ensure that his new coaster, The Crabby Parabby, doesn’t get too flat. The coaster is defined by ????(????) = 〈???? 2 , −????,???? 2 〉 and he wants to keep the curvature greater than 2, so people “get all spun up”. Find the interval of ???? where the curvature will be greater than 2. (Round your answers to 3 decimal places.) [8 points] 7. There’s only time for one more problem, so I guess let’s do something with area. If two vertices of a triangle are (1,0,0) and (0,2,0), use vector calculus to find a third vertex so that the area of the triangle would be 10. [8 points]

The displacement of an object is measured as 0.004560 m in 2.34 s.(a) What is the number of significant figures for displacement and time interval.(b) Rewrite the displacement in scientific notation.