Bosco

   if the probablity i will pull out a red is two fiths and i have eight b***s what is the probablity i will not pull out a red     

   We already know that the probability you will pull out a red is 2/5,     

   so we don’t even need to take into consideration how many balls     

   you have. We'll use the probability’s complement. The probability     

   that you will pull out a red is 2/5, therefore the probability that you     

   will not pull out a red is 1 – 2/5 = 3/5.     

   _.     

   radius of sphere if volume is 5461 1/3 pi     

   Volume  =  (⁴/₃) π r³        solve for r     

                                                    5461¹/₃ π  =  (⁴/₃) π r³     

                                              (16,384 / 3) π  =  (⁴/₃) π r³     

   multiply both sides by 3             16,384 π  =  4 π r³     

   divide both sides by π                   16,384  =  4 r³     

   divide both sides by 4                      4,096  =  r³     

   take cube root both sides                         r  =  16     

   _.     

   8 to the what power equals 4     

   8 ^ ²/₃  =  4         

   I found this by brute force using the y^x function on my calculator.     

   _.     

   what is the lateral surface area of a trianglular pyramid in which the base is an     

   equilateral triangle with a side of 12 inched long and a slant height of 20 inches     

   When you say lateral surface area, that means just the sides, excluding the base.     

   Area_side  =  (1/2) • base • height     

   Area_total  =  (1/2) • base • height • 3     

     Total Area  =  (1/2) • 12 in • 20 in • 3     

                       =  (1/2) • 240 in² • 3     

                       =  120 in² • 3     

                       =  360 in²     

   _.     

   what is true about the probabilty of an event and its complement?     

   There are a lot of truths about probability and its complement.     

   I think maybe the one you mean is that they always sum to 1.     

   When there's a probability that an particular event will occur,     

   its complement is the probability that the event will not occur.     

   For example, the probability that you will roll a 4 on a die is 1 / 6.     

   Then, the complement that you will not roll a 4 on the die is 5 / 6.     

   _.      

   I am in need of how this answer was derived. I come up with something completely different     
   Original equation is given as 4xsquared=3-8x.     

   I get -1 plus or minus square root of 112.     

   the answer sheet shows the answer to be -2 plus or minus square root of 7 over 2.     

                                         4x²  =  3 – 8x     

                                         4x² + 8x – 3  =  0     

                                         – b  +  sqrt(b² – 4ac)     

                              x   =   –––––––––––––––––––     

                                                     2a     

                                         – 8  +  sqrt(64 + 48)

                              x   =   –––––––––––––––––––     

                                                      8     

                                          – 8  +  sqrt(112)     

                              x   =   –––––––––––––––––––     

                                                      8     

                                          – 8  +  sqrt(16 • 7)     

                              x   =   –––––––––––––––––––     

                                                      8     

                                          – 8  +  4 sqrt(7)     

                              x   =   –––––––––––––––––––     

                                                      8     

                              x   =   – 1  +  (¹/₂) sqrt(7)     

   _.     

   Mary bought a collector doll for 40 and sold it for 50.     

   She later decided to buy it back for 60 and then resold it for 70.     

   How much money did she lose or make on the sales?     

   0 – 40 + 50 – 60 + 70 = 20    Mary ends up 20 ahead     

   _.     

   y=4x^2-8x-45     factor than determine zeros after determine coordinates of vertex     

   (2x + 5)(2x – 9)  that's the factors        

                                                y  =  4x² – 8x – 45     

   take 1st derivative                y'  =  8x – 8     

   set 1st deriv = 0                            8x – 8  =  0     

                                                                x  =  1     this is the x-coord of vertex     

   plug 1 into orig eq                 y  =  4(1²) – 8(1) – 45     

                                                 y  =  4 – 8 – 45     

                                                 y  =  – 49               this is the y-coord of vertex     

   (1, – 49)  that's the vertex     

   _.     

   Fill in the blanks to make a true statement.     

   The line x + y = 1 is parallel to the line x + y = 2, and passes through the point (1,___).      

   x + y = 1 passes through (1, 0)     

   _.     

   Suppose that a is inversely proportional to b.     

   If  a = -3  when  b = 8, find a when b = 6.     

   Express your answer as a fraction.     

   When b = 8 and a = –3 then ab = –24     

   When the values of a and b change inversely, the product will remain –24.     

   In other words, when b becomes 6, the product of a and b still equals –24.     

   a • b  =  –24       

   a • 6  =  –24     

        a  =  –24 / 6     

        a  =  – 4 / 1     

   .