Determine which of () form a solution to the given system for any choice of the free parameter. 3x_1 + 8x_2 - 14x_3 = 9 x_1 + 3x_2 - 4x_3 = 1 (6 - 2s_1, 5 + 3s_1, s_1) (-11 - 5s_1, s_1 - (6 +s_1)/2) (19 + 10s_1, -6 - 2s_1, s_1) ((5 -4s_1)/3, - s_1)/4)

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

the area of ​​the surface of the rectangular prism here is 250 cm2, which is the surface of the shading

step-by-step explanation: