LEAF, a soda can manufacturer, produces cans using 5 machines. The probability distribution for the number of machines that will break down in a week is: Machine Break Down per week Probability
0 0.1
1 0.1
2 0.15
3 0.25
4 0.25
5 0.15

The repair time of a machine may take 1,2, or 3 hours depending on the severity of the failure and follows the following distribution:

Repair Time(hrs.) Probability
1 0.35
2 0.5
3 0.15

Use the following random numbers for the number of breakdowns: 54, 96, 92, 3
Use the following random numbers for the repair time: 87, 79, 45, 48, 33, 62, 18, 41, 95, 93, 25, 50, 73, 64, 39, 92, 60, 14

Required:
Simulate the machine breakdowns per week for the next 4 weeks.

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)

Which is the graph of this function 3 square root of x plus one if

12 3 4 5 6 7 8 9 10time remaining01: 24: 54which graph represents this system? y=1/2x + 3 y= 3/2x -1