In a survey conducted with 600 participants across the united states, 450 were found to have studied science in college. if we were to predict the population proportion with a 99.7% confidence, what would the confidence interval be?

69.7% to 80.3%
73.23% to 76.76%
71.46% to 78.53%
73.5% to 76.5%

Find the equation of the trend line (line of best fit). show your work i'm using the points (34,76) (42,91)

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

If f(x)=-x^2+6x-1 and g(x)=3x^2-4x-1,find(f+g)(x)