Solve the inequality algebraically. Express the solution in interval notation.(x – 6)2(x + 9) < 0

Write as the sum and/or difference of logarithms. Express powers as factors. log20

The mean of set X = { x 1 , x 2 ,   .   .   .   , x 19 }   =   32 . The mean of set Y = { y 1 , y 2 ,   .   .   . , y 44 } = 27 .  If set X and set Y arecombined to create one set, what is the mean of this combined set? You must show work that justifies your answer.

Jesse sells birdhouses at a local monthly craft show. The table below shows his total sales for each of eight months. Find the mean, median, mode, and range for this set of data. Show all of your work. Month January February March April May June  July August Sales ($) 112.75 142.75 132.75 100.00 152.25 134.20 185.50 82.25 Mean = __________          Median = __________          Mode = __________          Range = __________

You must show ALL of your work to receive credit. 

A clockwise rotation of 52 degress is equivalent to a counter-clockwise rotation of ____________ degrees. Show work that justifies your answer.

 A doctor records the blood pressures for a larg group of patients. If the average blood pressure is 125 and the standard deviation is 2.3, what is the z-score for the patient with a blood pressure of 130? Round to the nearest hundredth. 1351c(1).png 

A set of data is normally distributed and follows the Empirical Rule. If the mean is 16 and the standard deviation is 5, approximately what percent of the data would lie between the data values 6 and 21? Show ALL of your work. 1351d.png 

a)   Determine the five-number summary for the set of data shown below.    (5 points)       You need to find the following values: s m a l l e s t ,   Q L ,   m e d i a n , Q u ,   l a r g e s t .               (Note: Q L   =   Q 1     a n d     Q U   =   Q 3 )                                                                                                                  1351f(1).png  b)     Draw a box plot (box and whisker plot) on a number line using your five-number summary.   (6 points) c)     What is the interquartile range for this set of data?   (2 points) d)     Identify any outliers in this data set.   (2 points)  

x2 – 5x – 14 ≤ 0