The distance s that an object falls varies directly with the square of the time t of the fall. If an object falls 16 ft in one second, determine the constant of variation k in the equation of
variation 2s kt= , and complete the following table of values for the distance s that an object
falls for different times t of the fall.
Table:
Time t distance s
1 seconds
2 seconds
3 seconds
4 seconds

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)

Atriangle has side lengths of x, x+11, and 3x+5. what is the perimeter? a. 3x^2 + 38x + 55 b. 4x + 16 c. 5x + 16 d. 3x^3 + 38x^2 + 55x

How do you find p(a and b) if a and b are independent events for two or more actions, such as tossing a coin twice and finding p(heads and heads)? 2. how do you find p(a or b) if a and b are independent events for one action, such as spinning a four-color spinner once and finding p(red or blue)?