1. 875
2. 1066
3. 129 - 136
4. 22°F
5. -148°F
6. 1 dollar
If these are terms of a geometric sequence, they have a common ratio. That is, ...
... (k -1)/(2(1 -k)) = (k +8)/(k -1)
... (k -1)² = 2(1 -k)(k +8) . . . . . multiply by the product of the denominators.
... k² -2k +1 = -2k² -14k +16 . . . eliminate parentheses
... 3k² +12k -15 = 0 . . . . . . . . put in standard form (subtract the right side)
... 3(k +5)(k -1) = 0 . . . . . . . . . factor
Possible values of k are ... -5, +1. The solution k=1 is extraneous, as it makes the first two terms 0 and the third term 8. (It doesn't work.)
The value of k is -5.
_____
The three terms are 12, -6, 3. The common ratio is -1/2.
Answer:
TRUE
Step-by-step explanation:
Control charts employ the use of graphical displays to observe and monitor a process which could be either a manufacturing, production or business process to ensure that it is in a sate of control using statistical analysis. This graphical display will enable the visualization of interference or variation dues to certain causes or factors which might creep in to effect an unwanted variation in the production or business process. Hence, with the control chart, these variations would be detected and corrected to ensure that the production proesss is free from unwanted interference as much as possible.
The second option, 7 rolls of quarters and 4 rolls of dimes.
7*10=70
4*5=20
70+20=90
