Suppose x and y have the following joint probability mass function. p ( 1 , 1 ) = . 10 , p ( 1 , 2 ) = . 12 , p ( 1 , 3 ) = . 16 p ( 2 , 1 ) = . 08 , p ( 2 , 2 ) = . 12 , p ( 2 , 3 ) = . 10 p ( 3 , 1 ) = . 06 , p ( 3 , 2 ) = . 06 , p ( 3 , 3 ) = . 20 find e [ x ] and e [ y ] . find v a r ( x ) and v a r ( y ) . find c o v ( x , y ) . find the correlation between x and y .

answer: i don't understand. what are the options

step-by-step explanation:

10000

step-by-step explanation: divide by 2,

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: