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Phoenix [80]
3 years ago
7

You.have at most $8 to buy lunch. Sandwiches cost $4 each, drinks cost $1.50 each, and cookies cost $0.75 each. If you buy a san

dwich and a drink, how many cookies can you buy?
Mathematics
2 answers:
lina2011 [118]3 years ago
8 0
You are able to purchase 2 cookies :)
abruzzese [7]3 years ago
5 0

Answer:

you can buy 2 cookies

Step-by-step explanation:

4+1.5=5.5

8-5.5=1.5

1.5/.75=2

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Mid-West Publishing Company publishes college textbooks. The company operates an 800 telephone number whereby potential adopters
s344n2d4d5 [400]

The various answers to the question are:

  • To answer 90% of calls instantly, the organization needs four extension lines.
  • The average number of extension lines that will be busy is Four
  • For the existing phone system with two extension lines, 34.25 % of calls get a busy signal.

<h3>How many extension lines should be used if the company wants to handle 90% of the calls immediately?</h3>

a)

A number of extension lines needed to accommodate $90 in calls immediately:

Use the calculation for busy k servers.

$$P_{j}=\frac{\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}}{\sum_{i=0}^{k} \frac{\left(\frac{\lambda}{\mu}\right)^{t}}{i !}}$$

The probability that 2 servers are busy:

The likelihood that 2 servers will be busy may be calculated using the formula below.

P_{2}=\frac{\frac{\left(\frac{20}{12}\right)^{2}}{2 !}}{\sum_{i=0}^{2} \frac{\left(\frac{20}{12}\right)^{t}}{i !}}$$\approx 0.3425$

Hence, two lines are insufficient.

The probability that 3 servers are busy:

Assuming 3 lines, the likelihood that 3 servers are busy may be calculated using the formula below.

P_{j}=\frac{\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}}{\sum_{i=0}^{2} \frac{\left(\frac{\lambda}{\mu}\right)^{i}}{i !}}$ \\\\$P_{3}=\frac{\frac{\left(\frac{20}{12}\right)^{3}}{3 !}}{\sum_{i=0}^{3} \frac{\left(\frac{20}{12}\right)^{1}}{i !}}$$\approx 0.1598$

Thus, three lines are insufficient.

The probability that 4 servers are busy:

Assuming 4 lines, the likelihood that 4 of 4 servers are busy may be calculated using the formula below.

P_{j}=\frac{\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}}{\sum_{i=0}^{k} \frac{\left(\frac{\lambda}{\mu}\right)^{t}}{i !}}$ \\\\$P_{4}=\frac{\frac{\left(\frac{20}{12}\right)^{4}}{4 !}}{\sum_{i=0}^{4} \frac{\left(\frac{20}{12}\right)^{7}}{i !}}$

Generally, the equation for is  mathematically given as

To answer 90% of calls instantly, the organization needs four extension lines.

b)

The probability that a call will receive a busy signal if four extensions lines are used is,

P_{4}=\frac{\left(\frac{20}{12}\right)^{4}}{\sum_{i=0}^{4} \frac{\left(\frac{20}{12}\right)^{1}}{i !}} $\approx 0.0624$

Therefore, the average number of extension lines that will be busy is Four

c)

In conclusion, the Percentage of busy calls for a phone system with two extensions:

The likelihood that 2 servers will be busy may be calculated using the formula below.

P_{j}=\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}$$\\\\$P_{2}=\frac{\left(\frac{20}{12}\right)^{2}}{\sum_{i=0}^{2 !} \frac{\left(\frac{20}{12}\right)^{t}}{i !}}$$\approx 0.3425$

For the existing phone system with two extension lines, 34.25 % of calls get a busy signal.

Read more about signal

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3 0
1 year ago
The height, h, of a falling object t seconds after it is dropped from a platform 300 feet above the ground is modeled by the fun
notka56 [123]
Average rate = [h(3) - h(0)]/(3 - 0)
h(3) = 300 - 16(3)^2 = 300 - 16(9) = 300 - 144 = 156
h(0) = 300 - 16(0)^2 = 300

average rate = (156 - 300)/3 = -144/3 = -48

Therefore, the object falls with an average rate of 48 ft/s during the first 3 seconds.
4 0
3 years ago
Ann made a scale drawing of a theater. The scale she used was 1 inch : 7 feet. The stage is
hjlf

Answer:

  • 4 in

Step-by-step explanation:

<u>Use ratios and solve:</u>

  • 1 in ÷ 7 ft = x in ÷ 28 ft
  • x = 28/7 in
  • x = 4 in
4 0
2 years ago
The length of the sides of a triangle are three consecutive integers. If the perimeter is 87, find the dimensions of the triangl
nadezda [96]
You can divide 87 by 3 which is 29, so each angle will be 29 degrees.
Since they are consecutive, that means they will all measure the same.

Hope this helps! :)
8 0
2 years ago
Read 2 more answers
What is the product of 1 x 1 and 5x2 2x 6 ? Write your answer in standard form. 24
Svetradugi [14.3K]

Answer:

1. 1

2. 10

3. 12

Step-by-step explanation:

8 0
3 years ago
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