Answer:
Minimum cycle time = time for longest task = 2.4 minutes
Maximum cycle time = sum of the times to complete all the tasks = 18 minutes
Step-by-step explanation:
For the minimum cycle time, the reasoning is that all the tasks can be done simultaneously, at some during the assembling task. Hence, minimum time to complete one cycle is the time it takes to complete task that takes the longest time to complete.
For the maximum cycle time, the reasoning here is that each task is done after the completion of the previous task. The total time taken to finish the task will then be the sum of the time taken to complete each task. This usually is at the beginning of operations.
 
        
             
        
        
        
Answer:
B
Step-by-step explanation:
this is the answer to this question 
 
        
             
        
        
        
Answer:
$4020.52
Step-by-step explanation:
The future value is the principal multiplied by the amount $1.00 is worth in the future.
$4,000 × 1.00513 = $4020.52
 
        
             
        
        
        
Answer:
x = 65 
Step-by-step explanation:
The angle labeled with the expression " ( 2x + 15 ) " and the angle with the measure of 145° are vertical angles
Vertical angles are congruent (In other words, they are equal to each other)
Hence, 2x + 15 = 145
                    ^ ( Note that we just created an equation  that we can use 
                        to solve for x ) 
Using that same equation we then solve for x
2x + 15 = 145
step 1 subtract 15 from each side 
15 - 15 cancels out 
145 - 15 = 130 
we now have 130 = 2x
step 2 divide each side by 2 
130 / 2 = 65 
2x / 2 = x 
we're left with x = 65 
  
        
             
        
        
        
Answer: 
Choice A
1/17; no, they are dependent events
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Explanation:
There are 13 spades and 52 cards total. So 13/52 = 1/4 is the probability of drawing one spade
If we do not replace the card we pull out, then the probability of another spade is 12/51 since there are 12 spades left out of 51 total. 
Multiply the fractions 1/4 and 12/51 to get
(1/4)*(12/51) = (1*12)/(4*51) = 12/204 = 1/17
The two events are not independent because the second event (pulling out a second spade) depends entirely on what happens in the first event (pulling out a first spade). The fact that the probability is altered indicates we have dependent events.