76% of U. S. adults think that political correctness is a problem in America today. You randomly select six U. S. adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the number of U. S. adults who think that political correctness is a problem in America today.
Answer the questions below.
Find the mean of the binomial distribution
(Round to the nearest tenth as needed.)
Find the variance of the binomial distribution.
(Round to the nearest tenth as needed.)
Find the standard deviation of the binomial distribution.
(Round to the nearest tenth as needed.)
Interpret the results in the context of the real-life situation.
Most samples of 6 adults would differ from the mean by no more than
(Type integers or decimals rounded to the nearest tenth as needed.)

5 + 8 +7 + 4 + 0 +1 = 25

step-by-step explanation:

y-3=-3/2(x+4)

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a) 40 more; b) old factory:   10%, new factory:   16%; c) week 4

explanation:

a) at week 0, we see in the graph that the new factory produces 190 specialty items.  

using the function, substituting 0 in for w,

this is a difference of 230-190 = 40.

b) the function for the old factory is written in the form f(x) = a(1+r)ˣ, where a is the original amount, x is the amount of time and r is the growth rate.   the equation for the old factory is ; 230 is in place of a and is the original amount; w is the amount of time; which means 1+r = 1.1.   this means that r must be 0.1 or 10%.

for the new factory, we find the percent of increase to find the growth rate; the formula for this is

between the first two points, the amount of change is 220-190 = 30; this gives us

30/190 = 0.158 ≈ 0.16 = 16%

c) at week 0, the old factory has 230 while the new factory has 190.

at week 1, the old factory has 230(1.1) = 253 while the new factory has 220.

at week 2, the old factory has 230(1.1²) = 278.3 while the new factory has 252.

at week 3, the old factory has 230(1.1³) = 306.13 while the new factory has 290.

at week 4, the old factory has 230(1.1⁴) = 336.743 while the new factory has 337.   this is the first week that the new factory surpasses the old.

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