1) finley has 8 game pieces that differ only in colour. each game piesce is either all red or all black. when finley lines up the 8 game pieces in a single row, there are 28 distinguishable arrangements.

based on the information above, finley could have i red game pieces and ii black game pieces. the statement above can be completed by the information in row i ,ii

a)4,4

b)5,3

c)6,2

d)7,1

2)the height of a rider on a ferris wheel can be modified by the sinusoidal regression function

h=6 sin(1.05t-1.57)+8

where h is the height of the rider above the ground, in meteres, and (t) is the time, in minutes, after the ride starts. When the rider is at least 11.5m above the ground, she can see the rodeo grounds. during each rotation of the ferris wheel, the length of time that the rider can see the the rodeo grounds, to the nearest tenth of a minute is?

3)the 4 digit security code for maureens old bank card allowed the digits 0 through 9 inclusive, without repition. maureens new bank card requires a 4 digit security code that consists of the digits 0 through 9 inclusive, with repition allowed.

Note: both security codes can start with 0. compared to the 4 digit security code for maureens old bank card, there are _________ more 4 digit security codes available for her new bank card.

4)the height of the pendelum, (h), in inches, above a table top (t) secondes after the pendelum is released can be modelled by the sinsoidal regression function h=2sin(3.14t-1)+5. the height of the pendelum at the moment of release is _____. give your answer to the nearest tenth of an inch.