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Phoenix [80]
3 years ago
6

Drying times for newly painted microwave oven cabinets are normally distributed with a mean of 2.5 minutes and a standard deviat

ion of 0.25 minutes. After painting, each cabinet is mated with its electronic modules and mechanical components. The production manager must decide how much time to allow after painting before these other components are installed. If the time is too short, the paint will smudge and the unit will have to be refinished. If the time is too long, production efficiency will suffer. A consultant has concluded that the time delay should be just enough to allow 99.8% of the cabinets to dry completely, with just 0.2% ending up being smudged and sent back for refinishing. Given this information, for what time setting should the production manager set the automatic timer that pauses the production line while each cabinet dries?
Business
1 answer:
Marina86 [1]3 years ago
5 0

Answer: 3.22

Explanation:

Given that;

mean = 2.5 min

standard deviation = 0.25 min

now to get the value of X required, we say

z = (x - u) / a

where z is the distance from the mean measured in the standard deviation units, x is the value we are interested in, u is the mean distribution, a is the standard deviation of the distribution.

the time delay should be just enough to allow 99.8% of the cabinets to dry completely = 99.8/100 = 0.9980

first we determine an appropriate z value.

Using the standardized normal tables,

value of z for approximately 0.9980 is 2.88

so using our initial equation z = (x - u) / a

we substitute the value

z = (x - u) / a

2.88 = ( x - 2.5) / 0.25

2.88 * 0.25 = x - 2.5

0.72 = x - 2.5

x = 0.72 + 2.5

x = 3.22

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Answer:

The answer is below

Explanation:

A What is the probability that all 4 selected workers will be the day shift?

B What is the probability that all 4 selected workers will be the same shift?

C What is the probability that at least two different shifts will be represented among the selected workers.

A)

The total number of workers = 10 + 8 + 6 = 24

The probability that all 4 selected workers will be the day shift is given as:

P_a=\frac{C(10,4)}{C(24,4)}= \frac{210}{10626}=0.0198

C(n,r)=\frac{n!}{(n-r)!r!}

B) The probability that all 4 selected workers will be the same shift (P_B) = probability that all 4 selected workers will be the day shift + probability that all 4 selected workers will be the swing shift + probability that all 4 selected workers will be the graveyard shift.

Hence:

P_B=\frac{C(10,4)}{C(24,4)}+\frac{C(8,4)}{C(24,4)}+\frac{C(6,4)}{C(24,4)}=0.0198+0.0066+0.0014=0.0278

C) The probability that at least two different shifts will be represented among the selected workers (P_C)= 1 - the probability that all 4 selected workers will be the same shift(P_B)

P_C=1-P_B\\\\P_C=1-0.0278\\\\P_C=0.972

7 0
3 years ago
True or false: A management contract is an arrangement in which one firm contracts with another to produce products to its speci
Nina [5.8K]

The statement which states that a management contract is an arrangement in which one firm contracts with another to <em>produce products</em> to its specifications is false

According to the given question, we are asked to show whether a management contract is one where there is an arrangement between two firms to <em>produce its goods </em>to its specifications.

As a result of this, we can see that a management contract is one where one firm gives its management skills <em>in part or in full</em> to another firm.

With this in mind, we can see that contract manufacturing is one where there is an arrangement in which one firm contracts with another to <em>produce products</em> to its specifications but is in charge of the marketing.

Therefore, the correct answer is false.

Read more here:

brainly.com/question/17440307

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3 years ago
Which of the following is not a correct statement about​ M2? A. M2 is a broader definition of money compared to M1 and currency.
natka813 [3]

Answer:

D) M2 is the best definition of money as a medium of exchange.

Explanation:

M2 includes all M1 plus some broader types of money which represent near money such as savings accounts, money market securities, mutual funds, small denomination time deposits (CDs worth less than $100,000). These are classified as ear money because they can be easily and quickly converted into currency (cash) or checking account deposits.

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Jacob chose to spend the afternoon swimming rather than going to the movies. any value given up from not going to the movies is
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Any value given up from not going to the movies is the <u>"opportunity cost".</u>


Opportunity costs represent the advantages an individual, speculator or business passes up while picking one option over another. While money related reports don't demonstrate opportunity cost, entrepreneurs can utilize it to settle on taught choices when they have various alternatives previously them. Since they are concealed by definition, opportunity expenses can be neglected in the event that one isn't cautious. By understanding the potential botched chances one renounces by picking one venture over another, better choices can be made.  


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3 years ago
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Island Corporation applies overhead based upon machine-hours. Budgeted factory overhead was $375,000 and budgeted machine-hours
vivado [14]

Answer:

Instructions are listed below.

Explanation:

Giving the following information:

Island Corporation applies overhead based upon machine-hours. Budgeted factory overhead was $375,000 and budgeted machine-hours were 12,500. Actual factory overhead was $387,920 and actual machine-hours were 13,150.

A) Estimated manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base

Estimated manufacturing overhead rate= 375,000/12,500= $30 per machine hour

B) Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base

Allocated MOH= 30*13,150= $394,500

C) Over/under allocation= real MOH - allocated MOH

Over/under allocation= 387,920 - 394,500= 6,580 overallocated

6 0
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