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Serga [27]
3 years ago
15

Scientists think that robots will play a crucial role in factories in the next several decades. Suppose that in an experiment to

determine whether the use of robots to weave computer cables is feasible, a robot was used to assemble 507 cables. The cables were examined and there were 9 defectives. If human assemblers have a defect rate of 0.035 (3.5%), does this data support the hypothesis that the proportion of defectives is lower for robots than humans
Mathematics
1 answer:
Lilit [14]3 years ago
4 0

Answer:

The data support the hypothesis that the proportion of defectives is lower for robots than humans.

Step-by-step explanation:

To know if the proportion of defectives is lower for robots than humans so as to prove if the hypothesis is true.

From the data given:

Total number of cables a robot assembled = 507

Defectives = 9

To get the defect rate =  the number of defects divided by the total number of cables, multiplied by 100.

Defect rate =  (9 / 507) x 100 = 0.01775 x 100

Defect rate for the robot = 1.775‬%

From the question, a robot was used and the defect rate after the calculation is 1.775‬%. While for humans, the defect rate is 3.5%. This implies, if humans were used to assembling the same 507 cables, there will be 17.745‬ defectives.

x / 507 = 3.5%

x (defectives) = 17.745‬

Therefore, the data support the hypothesis that the proportion of defectives is lower for robots than humans.

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madreJ [45]
0.03 \sqrt{8.4}

you would need to make 0.03 a whole number 1st, so you take the decimal point and move it 2 places, and you do that to 8.4.

3 \sqrt{840}


Now, divide the way you would usually do. If there is a remainder, keep adding 0's until you get the answer with no remainder. If the 0 keeps going on and on just stop after 2 0's.

5 0
3 years ago
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A ribbon measures <br> 4.5 meters. Express this length in millimeters.
Veseljchak [2.6K]

Answer:

4500 meters.

Step-by-step explanation:

1 meter = 1000 millimeters so just do the number of meters (in this case 4.5) times 1000.

8 0
3 years ago
A person's home to work commute on a wintery morning involves traveling on Highway A, Highway B, and then Highway C. The person
SVEN [57.7K]

Answer:

Probability = 0.35

Step-by-step explanation:

Given :-

  • Probability (Highway A Icy) = 0.1
  • Probability (Highway B Icy) = 0.15
  • Probability (Highway C icy) = 0.15

So :-

  • Probability (Highway A not icy) = 1 - 0.1 = 0.9
  • Probability (Highway B not icy) = 1 - 0.15 = 0.85
  • Probability (Highway C not icy) = 1 - 0.15 = 0.85

Probability of person not getting to work timely

=  Probability [Even one of the highway A, B or C is icy]

= 1 - Probability [None of Highway A, B, C is icy]

Since these are independent events, So :-

= Prob. [Highway A not icy & Highway B not icy & Highway C not icy]

= 1 - ( 0.9 x 0.85 x 0.85)

= 1 - 0.65

= 0.35

5 0
3 years ago
U matter.
olga2289 [7]

Answer:

thank you <3 I needed this.

Step-by-step explanation:

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6 0
3 years ago
I really need help!!!!
dezoksy [38]

Answer:

150 bikes, $10,500 minimum manufacturing cost

Step-by-step explanation:

5x^2 - 1500x + 123000 is represented by a parabolic graph that opens up.  You could easily estimate the x value at which C(x) is at a minimum, as well as the smallest C(x) value.

Or you could do this problem algebraically by finding the vertex of the parabola.  The results MUST be the same as before.

                                                                                                 -b

The equation of the axis of symmetry of this curve is x = ---------

                                                                                                  2a

... which here is    x = 1500

                                   --------- = 150 units (150 bikes)

                                     2(5)

Evaluating C(x) (see the problem statement) at x = 150 leads to finding the minimum cost.  I like to use synthetic division to evaluate polynomials.  Here, the divisor would be 150 and the coefficients of the quadratic would be

5   -1500   123000

Setting up synthetic division, we get:

150   /  5      -1500         123000

                       750        -112500

         --------------------------------------

           5        -750           10500

The remainder is $10,500.  This is the minimum cost of this manufacturing operation.

7 0
4 years ago
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