A production facility contains two machines that are used to reworkitems that are initially defective.

LetXbe the number of hours that the firstmachine is in use, and letYbe the number of hours that the second machine isin use, on a randomly chosen day.

Assume that X and Y have joint probabilitydensity function given by, f(x, y) ={32(x2+y2)0< x <1 and 0< y <10 otherwise

What is the probability that both machines are in operation for more than half an hour?

in the math equation 8 x 7 = 56, the 8 and the 7 are both factors of 56, since in this lesson we will use square tiles to figure out the factors of a whole find as many different arrays as you can, but follow one important rule: all the rows must have the i can make two rows of nine, so 2 and 9 are both factors of 18.

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

8

step-by-step explanation: