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Vera_Pavlovna [14]
2 years ago
12

What cycle time would match capacity and demand if demand is 173 units a day, there are 2 shift(s) of 458 minutes each, and work

ers are given three 35 minute breaks during each shift, one of which is for lunch or dinner? (Round your answer to 2 decimal places.) Cycle time 0 minutes per cycle
Mathematics
1 answer:
inysia [295]2 years ago
5 0

Answer:

so cycle time is 4.39 min

Step-by-step explanation:

given data

demand d = 173 units

shift s  = 2

time t1 = 485 min

break b = 3

break time t2 = 35 min

to find out

cycle time

solution

first we find total time available that is

time available = t1 × s - s × b × t2   ...................1

put here all these value which is given

time available = 485 × 2 - 2 × 3 × 35

time available = 760

so here cycle time is express as

cycle time = time available / demand   .......................2

put here value

cycle time = 760 / 173

so cycle time is 4.39 min

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The rectangular boat shown below has base dimensions 10.0 cm × 8.0 cm. Each cube has a mass of 40 g, and the liquid in the tank
zysi [14]

Answer:

C

Step-by-step explanation:

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7 0
2 years ago
3.52 A coin is tossed twice. Let Z denote the number of heads on the first toss and W the total number of heads on the 2 tosses.
Rufina [12.5K]

Answer:

a)  The joint probability distribution

P(0,0) = 0.36, P(1,0) = 0.24,   P(2,0) = 0,   P(0,1) = 0,  P(1,1) = 0.24,  P(2,1)= 0.16

b)  P( W = 0 ) = 0.36,    P(W = 1 ) = 0.48,  P(W = 2 ) = 0.16

c) P ( z = 0 ) = 0.6

  P ( z = 1 ) = 0.4

Step-by-step explanation:

Number of head on first toss = Z

Total Number of heads on 2 tosses = W

% of head occurring = 40%

% of tail occurring = 60%

P ( head ) = 2/5 ,    P( tail ) = 3/5

<u>a) Determine the joint probability distribution of W and Z </u>

P( W =0 |Z = 0 ) = 0.6         P( W = 0 | Z = 1 ) = 0

P( W = 1 | Z = 0 ) = 0.4        P( W = 1 | Z = 1 ) = 0.6

P( W = 1 | Z = 0 ) = 0           P( W = 2 | Z = 1 ) = 0.4

The joint probability distribution

P(0,0) = 0.36, P(1,0) = 0.24,   P(2,0) = 0,   P(0,1) = 0,  P(1,1) = 0.24,  P(2,1)= 0.16

<u>B) Marginal distribution of W</u>

P( W = 0 ) = 0.36,    P(W = 1 ) = 0.48,  P(W = 2 ) = 0.16

<u>C) Marginal distribution of Z ( pmf of Z )</u>

P ( z = 0 ) = 0.6

P ( z = 1 ) = 0.4

8 0
2 years ago
Ben and Landon took turns driving on their recent 820 mile road trip. Ben averaged 60 miles per hour while landon averaged 56 mi
Furkat [3]

Landon drove for 5 hours.

<u>Step-by-step explanation</u>:

Given that,

Total distance of the road trip = 820 miles

Speed of Ben = 60 miles per hour

Speed of Landon = 56 miles per hour

<u><em>Step 1 </em></u><em>:</em>

Let 'x' be the number of miles Ben drove

Let 'y' be the number of miles Landon drove

<u><em>Step 2</em></u><em> :</em>

The trip took them 14 hours to complete 820 miles together.

x + y = 14

60x + 56y = 820

<u><em>Step 3 </em></u><em>:</em>

Solve the linear system x+ y= 14 and 60x+ 56y= 820

x + y = 14

x = 14 - y

<u><em>Step 4 </em></u><em>:</em>

Substitute x= 14-y in the second equation,

60(14-y) + 56y = 820

840 - 60y + 56y = 820

<u><em>Step 5</em></u><em> :</em>

Keeping y terms on one side and constants on other side,

60y - 56y = 840 - 820

4y = 20

y = 20/4

y = 5

Since 'y' is the number of miles Landon drove, the time Landon drove is 5 hours.

3 0
2 years ago
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ASHA 777 [7]

Answer:

The equivalent expression is \Rightarrow -16+37i    

A is correct

Step-by-step explanation:

 We are given two complex number and need to multiply it. To find equivalent fraction.

(4+7i)(3+4i)

Using Binomial product property: (a+b)(c+d)=ab+ad+bc+bd

\Rightarrow (4+7i)(3+4i)

\Rightarrow 4(3)+4(4i)+7i(3)+7i(4i)

\Rightarrow 12+16i+21i+28i^2

Combine the like term and simplify

\Rightarrow 12-28+37i           \because \ \ i^2=-1

\Rightarrow -16+37i    

Hence, The equivalent expression is \Rightarrow -16+37i    

4 0
2 years ago
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2ab x cos (C) = 7 because

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2ab x cos(C) = 2^2 + 2^2 - 1^2
2ab x cos (C) = 7
4 0
2 years ago
Read 2 more answers
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