According to the New York Times/CBS poll of March, 2005, 87% agreed that it should be the government's responsibility to provide a decent standard of living for the elderly, and 54% agreed that it would be a good idea to invest part of their Social Security taxes on their own.

What is the smallest percentage of people who could have agreed with both statements?

What is the largest percentage of people who could have agreed with both statements?

perhaps I am missing something but

wouldn't the smallest percentage possible of people agreeing with both statements be 0% ?
and the largest percentage possible agreeing with both parts be 54% ?

The 54% is correct but it says the smallest percent is incorrect

try this:

n(A or B) = n(A) + n(B) - n(A and B)
= .87 + .54 - n(A and B)
= 1.41 - n(A and B)

since we can't go over 100%
the n(A and B) must be .41 or 41% ????

yes that is correct. thank you!

I need help in graphing this function in Ms Excel by plot in points in the chart in part b and label the axes?

with the time on the x-axis and population on the y-axisb) Fill in the following chart. Round to the nearest whole person when necessary.

Year (t) Population (P)

t = 0
(2010) 6,000 7,000 8,000 9,000

t = 1
(2011) 3,000 3,500 4,000 4,500
t = 2
(2012) 2,000 2,334 2,667 3,000
t = 3
(2013) 1,500 1,750 2,000 2,250
t = 6
(2016) 857 1,000 1,143 1,286

c) Use your equation from part a) to approximate how many years it would take for the population to reach 400. Round to two decimal places if necessary.

Answer: t = 14 years t = 16.5 years t = 19 years t = 21.5 years

To determine the smallest and largest percentages of people who could have agreed with both statements, we need to analyze the data given.

According to the New York Times/CBS poll of March 2005, 87% agreed that it should be the government's responsibility to provide a decent standard of living for the elderly, and 54% agreed to investing part of their Social Security taxes on their own.

To find the smallest and largest percentages, we need to consider the overlapping proportion of the two groups who agreed with both statements.

To calculate the smallest percentage, we assume that all the people who agreed with investing part of their Social Security taxes on their own also agreed with the government's responsibility to provide a decent standard of living for the elderly. Therefore, the smallest percentage of people who could have agreed with both statements is 54%.

To calculate the largest percentage, we assume that none of the people who agreed with investing part of their Social Security taxes on their own also agreed with the government's responsibility to provide a decent standard of living for the elderly. Therefore, the largest percentage of people who could have agreed with both statements is 54% + (87% - 54%) = 54% + 33% = 87%.

In conclusion, the smallest percentage of people who could have agreed with both statements is 54%, and the largest percentage is 87%.