ElectricPavlov

the dimensions of the box   are   5     1/4  inch cubes     x   15     1/4 inch cubes     x  9     1/4 inch cubes

                                                     5 x 15 x 9 = 675 cubes

Find the inverse.....

x = 3y-8        y = (x+8) / 3    this is the inverse.....equate it to the original and solve fo x

(x+8) / 3   =  3x-8       Now solve for 'x' to find the value(s) where   f(x) = f^-1 (x)    

Side lengths    sqrt 32    and   sqrt 3

sqrt 32 / sqrt 3    rationalizes to    sqrt 96 / 3

                                                  = 4 sqrt 6  / 3     Take it from here ........

Mean is the average     ( 59 +59+62+74+81) / 5 =______________

mode is the most frequent score ......which one appears the most ?

Median is th middle score in the ascending order list = 62

range is the lowest - highest  =   59 - 81

See original post..........

1/2 a = 3/4 b

a-5 = (b+5) + 6         or   a = b+16  sub into the first equation

1/2 ( b+16)= 3/4 b

1/2b  + 8  = 3/4 b

1/4 b = 8

b = 32

and a =48

Hypotenuse cannot be the same length as one of the legs.....

  sooo

6 + a +c = 12

6^2 +a^2 = c^2     or c = sqrt (36 + a² )  sub this into the forst equation

6 + a + sqrt (36+a^2) = 12

sqrt(36+a^2)  = 6-a

36 + a^2 = 36 - 12a + a^2   uh oh....this is not a right triangle possibiity !

Guess I should have seen that ....if the hyptotenuse has to be longer than the leg of 6  the perimiter will be greater than 12 !

23/10     and 233/100   are the fraction equivalents

He scored 70 or above on 29 of the 31 quizzes, so I expect   29/31 to be the probability he does so on the next quiz  (or 93.54 %)

A and t must both be positive       A can be no more than 1000       t must be less than 125