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Furkat [3]
3 years ago
6

An assembly line with 10 tasks needs be designed. The total time for all tasks is 16 minutes. If you need to produce 30 units/ho

ur, how many minimum work stations will be needed
Mathematics
1 answer:
Sindrei [870]3 years ago
5 0

Answer: 8 minimum work stations is what would be needed.

Step-by-step explanation:

The cycle time is computed as the operating time daily divided by the scheduled output.

It is important to note that the daily capacity of the operation layout is the operating time divided by the cycle time.

Therefore,

If you need to produce 30units/hour.

The average cycle time is as follow:

The average cycle time is the average time between the completions of units.

60/30= 2 average cycle time

=16/2

=8

8 work stations is the minimum number that would be needed.

It is important to know that in an assembly line balancing, the minimum number of work station is the ratio of the sum of all tasks time to the cycle time.

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16. A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours
Reika [66]

Answer:

a) 23.11% probability of making exactly four sales.

b) 1.38% probability of making no sales.

c) 16.78% probability of making exactly two sales.

d) The mean number of sales in the two-hour period is 3.6.

Step-by-step explanation:

For each phone call, there are only two possible outcomes. Either a sale is made, or it is not. The probability of a sale being made in a call is independent from other calls. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours, find:

Six calls per hour, 2 hours. So

n = 2*6 = 12

Sale on 30% of these calls, so p = 0.3

a. The probability of making exactly four sales.

This is P(X = 4).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{12,4}.(0.3)^{4}.(0.7)^{8} = 0.2311

23.11% probability of making exactly four sales.

b. The probability of making no sales.

This is P(X = 0).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138

1.38% probability of making no sales.

c. The probability of making exactly two sales.

This is P(X = 2).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678

16.78% probability of making exactly two sales.

d. The mean number of sales in the two-hour period.

The mean of the binomia distribution is

E(X) = np

So

E(X) = 12*0.3 = 3.6

The mean number of sales in the two-hour period is 3.6.

4 0
3 years ago
Use the image above to write a conjecture about regular polygons and lines of symmetry
Tatiana [17]
To find conjecture about regular polygon, use the formula \frac{360}{n}

Where, n = number of sides of the regular polygone

1) Triangle
n =3
So, Conjecture of the triangle = \frac{360}{3} = 120

2) Square
n =4
So, Conjecture of the square = \frac{360}{4} = 90

3) Pentagone
n = 5
So, Conjecture of the pentagon = \frac{360}{5} = 72

4) Hexagone
n = 6
So, Conjecture of the pentagon = \frac{360}{6} = 60.
7 0
3 years ago
Read 2 more answers
Here is the question: Jamey purchased a new boat for 61014.00. She read that the value of the new boats change by -2/19 in the f
olga55 [171]

The value of Jamey's boat after the first year of purchase is <u>$54,591.47</u>.

<h3>What is a reduction in value?</h3>

The change in the value of the new boat can be described as a reduction in value, which is akin to the depreciation of the initial value.

The reduction means that the value of the boat fell after the first year of use.

The reduction or change in value and the new value after the first year can be computed as follows:

<h3>Data and Calculations:</h3>

Purchase price = $61,014

Change in value after first year = -2/19

Change in value (dollars) = $6,422.53 ($61,014 x 2/19)

Value after the first year = $54,591.47 ($61,014 - $6,422.53)

Thus, the value of Jamey's boat after the first year of purchase is <u>$54,591.47</u>.

Learn more about reduction in the value of an asset at brainly.com/question/25806993

#SPJ1

6 0
2 years ago
If 2 packs of cookies cost $7.00, how many packs can you get for $17.50?
klasskru [66]

Answer:

You could get 5 packs of cookies.

Step-by-step explanation:

Each pack would cost $3.50, so we would have to divide $17.50 by $3.50, which would give us 5 packs of cookies

3 0
2 years ago
Order these numbers from least to greatest:<br><br> 4<img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" title="\pi" alt="
Elena L [17]

Answer:

18,14,9

Step-by-step explanation:

enjoy

3 0
2 years ago
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