A random sample of 15 of the 78 competitors at a middle school gymnastics competition are asked
their height
The data set lists the heights in inches 55, 57, 57, 58, 59, 59, 59, 59, 59, 61, 62, 62, 63, 64, 66
a. What is the mean height of the sample?
Please include your dimensions with the numerical answer.

Afunction is given: f(x)=3x+12 a. determine the inverse of this function and name it g(x) b. use composite functions to show that these functions are inverses. c. f(g(– explain: what is the domain?

Find the arc length parameter along the given curve from the point where tequals=0 by evaluating the integral s(t)equals=integral from 0 to t startabsolutevalue bold v left parenthesis tau right parenthesis endabsolutevalue d tau∫0tv(τ) dτ. then find the length of the indicated portion of the curve r(t)equals=1010cosine tcost iplus+1010sine tsint jplus+88t k, where 0less than or equals≤tless than or equals≤startfraction pi over 3 endfraction π 3.

Negative 5 1/12 + negative 4 1/4 + 6 3/4