1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lisov135 [29]
3 years ago
6

Answer in factored form 13+14m+m^2

Mathematics
2 answers:
eduard3 years ago
6 0
What 2 numbers multiply to 13 and add to 14?
13 and 1
(1+m)(13+m)
natta225 [31]3 years ago
5 0
<span>Solution


m = {-13, -1}</span>
You might be interested in
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

brainly.com/question/14699772

#SPJ1

3 0
1 year ago
Measures of Center and Variability
pickupchik [31]
1. The mean of all the numbers is 41.
5. Median : 52
3 0
2 years ago
Read 2 more answers
Which of the following is the solution set of the given equation?<br><br> (x - 3) - 2(x + 6) = -5
Vlad1618 [11]

Answer: x=−10

Step-by-step explanation:

x−3−2(x+6)=−5

x+−3+(−2)(x)+(−2)(6)=−5(Distribute)

x+−3+−2x+−12=−5

(x+−2x)+(−3+−12)=−5(Combine Like Terms)

−x+−15=−5

−x−15=−5

−x−15+15=−5+15

−x=10

8 0
3 years ago
the cost of printing a store flyer is 440 for 1000 copies and 880 for 2000 copies. write a linear equation for modeling this dat
Anna35 [415]
Since they tell us that this is linear, having a constant rate of change, we can express this as a line:

y=mx+b, where m=slope (change in y divided by change in x) and b=y-intercept (value of y when x=0)

First find the slope, or m, which mathematically is:

m=(y2-y1)/(x2-x1), in this case:

m=(880-440)/(2000-1000)

m=440/1000

m=0.44, so far our line is:

y=0.44x+b, now we can use either data point to solve for b, I'll use (1000,440)

440=0.44(1000)+b

440=440+b

0=b, so our line is just:

y=0.44x
7 0
3 years ago
Read 2 more answers
Find the solution of y = 2x + 5 for x = 1.
Mumz [18]

Answer:

1.)

y = 2x + 5 for x = 1

y = 2(1) + 5

y = 2 + 5

y = 7

2.) The function rule that relates the total cost of the party to the number of children n.

TCP = $60 + $4(n)

6 0
3 years ago
Other questions:
  • I'll fan 
    8·2 answers
  • Does a negative divided by a negative equal a positive
    15·2 answers
  • What is in the picture
    5·2 answers
  • Tyler goes to the store. His budget is $125. Which inequality represents x, the amount in dollars Tyler can spend at the store?
    11·1 answer
  • Billy needs 4000 points to become level 7 on battle field 3 . If he has completed 3/5 of what he needs so far how many points do
    6·2 answers
  • a calculator costs 12.99. if its on sale for 20% off and sales tax is 6.25% what is the final cost of the calculator?
    12·2 answers
  • Use PQR below to answer the question that follows:<br>​
    14·1 answer
  • Is the discriminant of g positive, zero, or negative?
    6·1 answer
  • I need help ASAP !!! I will mark brainlest!!!
    13·1 answer
  • Help I don’t understand
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!