Jeremy likes to paint. He estimates the number of paintings he completes using the function, P(w) = 1/3w + 4, where w is the number of weeks he spends painting. The function J(y) represents how many weeks per year he spends painting. Which composite function would represent how many paintings Jeremy completes in a year?

a.) P[J(y)] = J(1/3w + 4)
b.) J[P(w)] = 1/3 ⋅ J + 4
c.) P[J(y)] = 1/3 ⋅ J(y) + 4
d.) J[P(w)] = J(1/3w + 4)

At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. the cyclic nature of wind and moving sand determines the shape and location of large dunes. at a test site, the prevailing direction of the wind did not change noticeably. however, the velocity did change. fifty-nine wind speed readings gave an average velocity of x = 1075 cm/sec. based on long-term experience, σ can be assumed to be 245 cm/sec. (a) find a 95% confidence interval for the population mean wind speed at this site. (round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec