Step-by-step explanation:
Clearly, there is a common difference between the monthly employment rates:
8.7% - 8.9% = -0.2%
8.5% - 8.7% = -0.2%
8.3% - 8.5% = -0.2%
a) So, for every month x, the percentage will go down 0.2%, starting at 8.9%. So, we can make this equation:
y = -0.2x + 9.1, where x = 1 would be October 2011.
January 2013 is 16 months after October 2011, so:
y = -0.2(16) + 9.1
y = 5.9%
b) To find when the unemployment rate will be zero, we set the equation equal to zero:
0 = -0.2x + 9.1
-0.2x = -9.1
x = 45.5 months
So, rounding up, the U.S. would reach a zero unemployment rate in 46 months or around September 2014? Not completely sure.
The probability of choosing a king or red would be 28/52. The simplified version would be 7/13 because there are 52 cards in a standard deck. There are also four suits, so if you divide 52 by 4, you get 13. Because the problem says red OR a king, you would add 3 to 13 because there are 4 kings total and 13 is the total amount of cards per suit. Because the problem also says red cards, you would add another 13. So you are left with the equation 13(2) + 3 which equals 28. There are 52 cards in total, so then you are left with the fraction probability of 28/52. Simplified would be 7/13.
Answer:
Step-by-step explanation:

Answer:
The second is the answer
Step-by-step explanation: