A random sample of the number of farms (in thousands) in various states follows. Estimate the mean number of farms per state with  99%  confidence. Assume  =σ31 . Round intermediate and final answers to one decimal place. Assume the population is normally distributed. 44 49 3 90 80 9 57 8 4 64 33 54 95 47 50 40 109 ​

Is δ pmr similar to δ smn ? if so, which postulate or theorem proves these two triangles are similar?

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

The polynomial 10x3 + 35x2 - 4x - 14 is factored by grouping. 10x3 + 35x2 - 4x - 14 5x )-20 what is the common factor that is missing from both sets of parentheses?