Consider the spreading of a rumor through a company of 1000 employees, allworking in the same building.We assume that the spreading of a rumor is similar to the spreading of a contagious disease (see Example 3, Section 1.2) in that the number of people hearing the rumor each day is proportional to the product of the number who have heard the rumor previously and the number who have not heard the rumor. This is given by
rn+1 = rn + 1000krn(1000 ? rn)
where k is a parameter that depends on how fast the rumor spreads and n is the number of days. Assume k = 0.001 and further assume that four people initially have heard rumor. How soon will all 1000 employees have heard the rumor?

Answers

Answer 1

Answer:

On the 12th day, the rumor would have has to all the 1000 employees

Step-by-step explanation:

Given the data in the question;

so, lets consider the rumor spreading thorough the company of 1000 employee;

the given model is; [tex]r_{n+1}[/tex] = [tex]r_{n}[/tex] + 1000k[tex]r_{n}[/tex] ( 1000 - [tex]r_{n}[/tex] )

where k is the parameter that depends on how fast the rumor spreads, n is the number of days.

now, lets assume k = 0.0001, lets also assume r₀ = 4

so to find how soon all 1000 employees  will have heard the rumor  ;

let n be;

then r1 will be;

r1 = r₀ + ( 0.001)r₀(1000-r₀ )

so

r1 = 4 + ( 0.001) × 4× (1000 - 4 )

r1 = 7.984

r2 will be;

r2 = r1 + ( 0.001)r1(1000-r1 )

r2 =  7.984 + ( 0.001) × 7.984 × (1000 - 7.984 )

r2 = 15.904255744

   

r3  will be;

r3 = r2 + ( 0.001)r2(1000-r2 )  

r3 = 15.904255744 + ( 0.001) × 15.904255744 × (1000 - 15.904255744 )

r3 = 31.555566137

Using the same formula and procedure by substituting n = 1,2,3,4,5,6,7,8,9,10,11,12.

we will have;

n        rₙ

0        4

1        7.984

2       15.904255744

3       31.555566137

4       62.1153785

5       120.372437

6       226.25535

7       401.319217

8       641.58132

9       871.53605

10     983.497013

11      999.727651

12     999.999926

Therefore, On the 12th day, the rumor would have has to all the 1000 employees

 


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Answer:

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Step-by-step explanation:

Suppose a force of 100 newtons is used to push an object a distance of 5.0 meters in 15 seconds. Find the work done and the power for this situation.

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work=force* distance

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=33.33 Watts.

write the congruence condition in symbolic form for each pair of triangles. If wrong answer I will report. If correct answer I will mark brainliest.​

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9514 1404 393

Answer:

  ΔXXX ≅ ΔXXX

Step-by-step explanation:

All vertices have the same designation, so the congruence statement is ...

  ΔXXX ≅ ΔXXX

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It's just a black screen for me

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If the radius of a circle is 3.5 cm, what is the diameter?

Answers

Answer:

7

Step-by-step explanation:

The diameter is twice the radius, and 2(3.5) = 7.

The following are the distances (in miles) to the nearest airport for 14 families.
13, 14, 19, 21, 21, 22, 26, 28, 34, 35, 36, 41, 43, 44
Notice that the numbers are ordered from least to greatest.
Give the median, lower quartile, and upper quartile for the data set.
(a) Median:
(b) Lower quartile:
(c) Upper quartile:

Answers

Median=27
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Michelle has fifteen more than two times as many pieces of candy as her sister. Which expression represents the number of pieces of candy that Michelle has if the variable c represents the number of pieces of candy that her sister has?

Answers

Fifteen more means somewhere we’ll add 15. Two times as many as c = 2c. So,

2c + 15 = how much candy Michelle has
2c + 15 is the answer

Answer:

b

Step-by-step explanation:

Of the 80 students in the student body, 60 voted for the winning candidate. What percent voted for the winning candidate

Answers

Answer:

20 studenti fac laba on a romania

Answer:75%

Step-by-step explanation:

Total no. of students= 80

No. of students who voted the winning candidate=60

% of students that voted for the winning team=60/80 x 100%

                                                                           

Given the function g(x) = 4x - 5, compare and contrast g(2) and g(-4). Choose the statement that is true
concerning these two values.
O a
The value of g(2) is larger than the value of g(-4).

Ос
The value of g(2) is smaller than the value of g(-4).
The value of g(2) is the same as the value of g(-4).
The values of g(2) and g(-4) cannot be compared.
Od

Answers

Answer:

The value of g(2) is larger than the value of g(-4)

Step-by-step explanation:

2 is a larger number than -4, so automatically, the value of g(2) would be larger.

5) Solve this system by graphing.
-2x - 4y = -8
y = x-10

Answers

The solution is (8,-2)
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PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!

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Answer: 10

Step-by-step explanation:

2+4+4= 10

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Answer:

The awsner is C

Step-by-step explanation:

C is the awnser

Jason wants to earn money by raking leaves. He buys a rake that costs $30.00. He plans to charge $8.00 for each lawn that he rakes Calculate the amount of profit Jason
will make if he rakes 15 lawns

Answers

Answer:

He will make 90 dollars in profit.

Step-by-step explanation:

15 x 8 to find how much he makes. He makes 120 dollars. But we have to count the 30 dollars less he spent by subtracting 120 - 30. You get 90 dollars.

Hope it helps!

Answer:

120 dollars

Step-by-step explanation:

30 dollars times 15 lawns equal 120$

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Answer:

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Step-by-step explanation:

ratios are pretty much just simplified fractions

so just turn the numbers into a fraction and simplify them!

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federal income tax, 4% for state income tax and 7.65% for Social Security and Medicare taxes, Calculate his net pay and how much he will pay in taves each paycheck. part A. Convert the annual pay to biweekly. part B how much money will he pay in taxes each paycheck? part C what is the net pay​

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Answer:

what is taves

Step-by-step explanation:

Please solve and explain how you got your answer. (Thank you, MARKING BRAINIEST!!)
(Picture below)

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Answer:

The total square kilometers is 299.

Step-by-step explanation:

Area equals length times width.

Answer:

299km

Step-by-step explanation:

Area= LxW

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so your answer would be 299 square kilometers!

Determine if the described set is a subspace. Assume a, b, and c are real numbers. The subset of R3 consisting of vectors of the form a b c , where abc

Answers

This question is incomplete, the complete question is;

Determine if the described set is a subspace. Assume a, b, and c are real numbers.

The subset of R³ consisting of vectors of the form [tex]\left[\begin{array}{ccc}a\\b\\c\end{array}\right][/tex] , where abc = 0

The set is a subspaceThe set is not a subspace

Answer:

Therefore; The set is not a subspace

Step-by-step explanation:

Given the data the question;

the subset R³;

S = {  [tex]\left[\begin{array}{ccc}a\\b\\c\end{array}\right][/tex] , where abc = 0 }

we know that a subset of R³ is a subspace if it stratifies the following properties;

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Looking at the properties, we can say that it is not a subspace

As;

         u = [tex]\left[\begin{array}{ccc}1\\1\\0\end{array}\right][/tex] ∈ S       and v = [tex]\left[\begin{array}{ccc}0\\1\\1\end{array}\right][/tex]  ∈ S

As    1×1×0=0                          0×1×1=0

But   u+v = [tex]\left[\begin{array}{ccc}1+0\\1+1\\0+1\end{array}\right] =[/tex] [tex]\left[\begin{array}{ccc}1\\2\\1\end{array}\right][/tex]  ∉  S     as 1×2×1 ≠ 0

Hence, it is not closed under addition.

Therefore; The set is not a subspace

Alcohol is a major contributor to high percentages of academic problems and college dropouts. Question: Alcohol is a major contributor to high percentages of academic problems and college dropouts. True False Not Sure Question: Alcohol is a major contributor to high percentages of academic problems and college dropouts. How confident are you of your response

Answers

Answer:

True

Step-by-step explanation:

This is true. According to studies conducted roughly 40% of academic problems and cause of college, dropouts is due to Alcohol. The students tend to party and drink a lot. This alcohol consumption makes the students tired, hungover, and unable to properly function enough so that they can attend classes on time and study to be able to pass the exams. This ultimately leads to failing grades and dropping out of the career.

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7m
6 m
2 m

Answers

136 I think
Hope this helps you
I think this would be 136

50 Points!
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It's a good question, and would like to see some answers

Answers

Answer:

327^3 = 34 965 783

173^3 = 5 177 717

34 965 783 + 5 177 717 = 40 143 500

40 143 500 ÷ 500 = 80 287

80 287 is a whole number, therefore, 327^3 + 173^3 is divisible by 500.

I hope this helps :)

Yes, the expression ( 327³ + 173³ ) is divisible by 500.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 327³ + 173³ and is divided by 500. The division will be calculated as,

327³ = 34 965 783

173³ = 5 177 717

34,965,783 + 5,177,717 = 40,143,500

40,143,500 ÷ 500 = 80,287

80,287 is a whole number, therefore, 327³ + 173³ is divisible by 500.

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Answers

Answer:

After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04

Step-by-step explanation:

Given the data:

3 5 6 7 7 8 8 8 9 9 9 10 102

Ordered data: 3, 5, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 102

The interquartile range (IQR) for the data:

IQR = Q3 - Q1

Q3 = 3/4(n + 1) th term.

n = sample size = 13

Q3 = 3/4(14) = 10.5th term

Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9

Q1 = 1/4(14) = 3.5th term

Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5

IQR = Q3 - Q1 = 9 - 6.5 = 2.5

THE STANDARD DEVIATION :

Sqrt[Σ(X - m)²/n-1]

Using calculator :

Standard deviation = 26.3

Correcting error in the data:

3 5 6 7 7 8 8 8 9 9 9 10 10.2

Q3 = 3/4(n + 1) th term.

n = sample size = 13

Q3 = 3/4(14) = 10.5th term

Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9

Q1 = 1/4(14) = 3.5th term

Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5

IQR = Q3 - Q1 = 9 - 6.5 = 2.5

THE STANDARD DEVIATION :

Sqrt[Σ(X - m)²/n-1]

Using calculator :

Standard deviation = 2.04

After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04

Perform the
ect
1. Find the sum of 5x + 20 and the
opposite of 20.
Find the sum of 5x +20 and the opposite of 20

Answers

Answer:

[tex]Sum = 5x[/tex]

Step-by-step explanation:

Given

1: 5x + 20

2: Opposite of 20

Required

Find their sum

Suppose that a is a number; The opposite of a is -a. So, the opposite of 20 is -20.

Having said that:

The required sum is:

[tex]Sum = 5x + 20 + (-20)[/tex]

Remove bracket

[tex]Sum = 5x + 20 -20[/tex]

[tex]Sum = 5x[/tex]

Graham recruited student volunteers to participate in his dissertation study. He set up several times for students to come to a specified classroom and read various types of instructional materials and to be tested. He ran all of his control conditions first and then for each session he placed all students at the session in the same treatment condition. This is problematic because those who volunteered early are likely different than those who volunteered later. This problem is primarily due to 1. response bias. 2. instrumentation bias. 3. researcher bias. 4. sampling bias.

Answers

Answer:

Sampling bias

Step-by-step explanation:

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Answers

Uhhhh 0 I think ....

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Answer:

first option

Step-by-step explanation:

the working is reallly long im lazy to type hehe sorry

Answer:

Option A

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Answer:

1. b

2.c

3.a

Step-by-step explanation:

welcome

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Step-by-step explanation:

PLZ HELP I WILL MARK BRAINLIEST

Which equation and solution can be used to solve this problem?

Twenty-two less than a number is twenty-four.

q + 22 = 24: Subtract 22 from both sides. The answer is 2.
24 + q = 22: Subtract 22 from both sides. The answer is 2.
q minus 24 = 22: Add 24 to both sides. The answer is 46.
q minus 22 = 24: Add 22 to both sides. The answer is 46.

Answers

Answer:

Step-by-step explanation:

22 less than a number, q-22, ‘is’ 24 is =24

q-22=24 adding 22 to both sides gives q=46

Answer:

q minus 22 = 24: Add 22 to both sides. The answer is 46.

Step-by-step explanation:

Solve each equation to see if it works.

Q - 22 = 24 does work.

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Answers

Answer:

Step-by-step explanation:vgggguiiooooo

5. Five-eighth of a number is 15. What is the number?
Your answer

Answers

Answer:

I think it is 24

Step-by-step explanation:

15÷5=3

3×8=24

Answer:

24

Step-by-step explanation:

divide 15 by 5 to get 3 which is equal to 1/8 of the number. then just multiply 3 by 8 to get 24.

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Answer:

[tex]\frac{12}{5}[/tex]

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