Whats the purpose of finding X in any given equation?!

The time between failures of a machine has an exponential distribution with parameter l. Suppose that the prior distribution for λ is exponential with mean 100 hrs. Two machines are observed, and the average time between failures is 1125 hrs.

What is the probability of rolling a 3 and then an even number on two consecutive rolls of a number cube.

The square below has an area of 16+8x+x^2 square meters

Is (0,3) a solution to the equation y=x+3? yes no Is (1,-4) a solution to the equation y=-2x? yes no

a old movie theater has seats on a main floor and in a balcony the main floor has 26 rows of 29 seats in each row. the balcony has eight rows of 23 seats in each row. how many more seats are on the main floor than in the balcony?

2 (15-3x) = - 6 what is x

Raahil traveled 11,469 km from home to visit his mother's family in Qatar. He than traveled 12,332 km from Qatar to visit his fathers family in Brisbane, Australia. Draw a bar diagram that shows the distance Raahil traveled to Brisbane.

Sherman has 2 cats and 3 dogs. he wants to buy a toy for each of his pets. shermsn has $22 to spend on pet toys. how much can he spend on each pet? write your answer as a fraction and as an amount in dollars and cents.

How to find the vertex of 2x^2-4+5

7n-1 >-169 Is it greater than - 24 or less than - 24