The number of users of a certain website (in millions) from 2004 through 2011 follows:
Year Period Users (Millions)
2004 1 1
2005 2 5
2006 3 11
2007 4 58
2008 5 145
2009 6 359
2010 7 607
2011 8 846
Using Minitab or Excel, develop a quadratic trend equation that can be used to forecast users (in millions). (Round your numerical values to one decimal place.)

Answers

Answer 1

Answer:

y = 26.3x² - 116.9x + 109.6

Step-by-step explanation:

Given the data ;

Year Period Users (Millions)

2004 1 1

2005 2 5

2006 3 11

2007 4 58

2008 5 145

2009 6 359

2010 7 607

2011 8 846

A quadratic regression model can be obtained using a quadratic regression calculator ; The quadratic regression modeled obtained is in the form :

y = Ax² + Bx + C

y = 26.3x² - 116.9x + 109.6

The Number Of Users Of A Certain Website (in Millions) From 2004 Through 2011 Follows: Year Period Users

Related Questions

The width of a rectangle is 9 less than twice its length. If the area of the rectangle is 129cm^2. What is the length of the diagonal? Give your answer to 2 decimal places.

Answers

Answer:  16.14  cm

==========================================================

Explanation:

L = x = length of the rectangleW = 2x-9 = width of the rectangle, since its 9 less than twice the length

area of rectangle = L*W = 129

L*W = 129

x*(2x-9) = 129

2x^2-9x = 129

2x^2-9x-129 = 0

Apply the quadratic formula. We'll use a = 2, b = -9, c = -129.

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-9)\pm\sqrt{(-9)^2-4(2)(-129)}}{2(2)}\\\\x = \frac{9\pm\sqrt{1113}}{4}\\\\x \approx \frac{9\pm33.36165464}{4}\\\\x \approx \frac{9+33.36165464}{4}\ \text{ or } \ x \approx \frac{9-33.36165464}{4}\\\\x \approx \frac{42.36165464}{4}\ \text{ or } \ x \approx \frac{-24.36165462}{4}\\\\x \approx 10.59041366\ \text{ or } \ x \approx -6.09041364\\\\[/tex]

We ignore the negative solution because a negative length makes no sense.

The length is approximately L = 10.5904 cm.

The width is 2L-9 = 2*10.5904-9 = 12.1808 cm approximately.

As a quick check,

L*W = 10.5904*12.1808 = 128.99954432

which isn't too far off from 129. We have rounding error which is why we don't perfectly land on the target area value. If you wanted to get closer to the value 129, then use more decimal digits in the approximations of L and W.

----------------------------

If you draw a diagonal in the rectangle, then you form two identical or congruent right triangles.

Focusing on one of those triangles, we have

a = 10.5904b = 12.1808c = unknown hypotenuse = diagonal length

Apply the pythagorean theorem

a^2+b^2 = c^2

c = sqrt( a^2 + b^2 )

c = sqrt( (10.5904)^2 + (12.1808)^2 )

c = 16.1408940520653

c = 16.14

The diagonal is roughly 16.14 cm long.

The price of a car has been reduced from $16,500 to $11,055. What is the percentage decrease of the price of the car?

Answers

Answer:

33%

Step-by-step explanation:

$16,500-$11,055= $5,445

$5,445÷$16,500= 0.33 which in percentage format is 33%

HOPE THIS HELPS! MARK BRAINLIEST PLEASE!!!!!

There is a decrease of $5445, meaning it decreased by 33%. I’m pretty sure this is right but I’m really sorry if it’s not

What are the first and third quartiles for the following data set?
12, 15, 18, 16, 14, 9, 12, 21
A 9 and 21
C 12 and 17
B 12 and 16
D 15 and 17

Answers

Answer:

A

Step-by-step explanation:

I guess that is it may be

2. The volume of a cube is 8 cm", find the length of one of its sides

Answers

Answer:

Step-by-step explanation:

The question has an error. Volume is expressed in cubic units. You probably mean cm³ .

Volume = 8 cm³

Length of each edge = ∛8 = 2 cm

Answer:

2cm

Step-by-step explanation:

Volume of cube=a^3 cubic units

8=a^3

a=cuberoot of 8

which is 2

Which table represents a linear function

Answers

Answer:

3rd option (top right)

Step-by-step explanation:

3rd option represents a linear equation

y = -2x-1

Answered by GAUTHMATH

Shaswant lent a sum of 44,000 to his friend Rahul at 10 percent p a. After 2 years and 6months his friend paid him To 40,000 with a cow. What was the price of cow.?​

Answers

Answer:

4000 because a cow is 4000 and he gave 40000

cause he used it for sinething

Find the value of x and y is (3x_6) (12,y-1)​

Answers

Answer:

x=4

y=7

Step-by-step explanation:

12=3x

x=4

6=y-1

y=6+1

y=7

Answer:

x=4

Step-by-step explanation:

What is 50g as a percentage of one kg?​

Answers

Answer:

5 %

Step-by-step explanation:

1000 g = 1 kg

50 kg = 0.05 kg

0.05 = 5%

Therefore, 50 g as a percentage of 1kg is 5%.

solve for x : 2(x^2+9)-4=0

Answers

Answer:

no solution

Step-by-step explanation:

multiply 2 and get 2x^2+18-4=0

combine like terms

2x^2+14=0

subtract 14

2x^2=-14

there can't be a square root of a negative number so there's no solution

Answer:

x = ±i sqrt(7)

Step-by-step explanation:

2(x^2+9)-4=0

Add 4 to each side

2(x^2+9)-4+4=0+4

2(x^2+9)=4

Divide by 2

2(x^2+9)/2=4/2

(x^2+9)=2

Subtract 9 from each side

x^2 +9-9 = 2-9

x^2 = -7

Taking the square root of each side

sqrt(x^2) =sqrt(-7)

x = sqrt(-1 *7)

x = ±i sqrt(7)

-27
Which of the following is equivalent to
نان-۴
?
N
O
(197)
NI
12
22
(22)
2².2

Answers

Answer:

3rd option

Step-by-step explanation:

(1/2)^-2t

= (2^-1)^-2t

= 2^2t

= (2^2)^t

Answered by GAUTHMATH

WILL GIVE BRAINLIEST
Complete the equation describing how
x and y are related.
х
-3
-2
-1
0
1
2
3
y
12
8
4
0
-4
-8
-12
y = [? ]x

Answers

Answer:

[tex]y=4x[/tex]

Answer:

y = -4x

hope that helped.........

5/\sqrt{x} +1+4/\sqrt{x} -1-8\sqrt{x}/x-1

Answers

Answer:

535525-62635-$6#62626636$66$6$63663636$6$62

brainly is dustbin

Find the fraction equivalent to 5/7 with: a) numerator 25 b) denominator 42​

Answers

Answer:

a) 25/35

b) 30/42

Step-by-step explanation:

a)

Variable x = denominator if numerator is 25

5/7 = 25/x

5 × x = 7 × 25

5x = 175

x = 35

b)

Variable y = numerator if denominator is 42

5/7 = y/42

5 × 42 = 7 × y

210 = 7y

30 = y

25/35

30/42

To get 25/35 multiply by 5

To get 30/42 multiply by 6

Hal's business made $500,000 last year. This year, his business made $650,000. What is the percentage difference? [?]%​

Answers

Answer: 23.08%

Explanation:

To find the percentage profit, you use the following formula:

(Current revenue - Old revenue/ Current revenue) x 100

Applying this formula will give us:

1) (650,000-500,000/650,000) x 100
2) (150,000/650,000) x 100
3) (0.2308) x 100
4) = 23.08%

Hope this helps, brainliest would be appreciated :)

Answer:

the answer is 30 percent.

Step-by-step explanation:

i did it on acellus.

verify cos(a+b)/cos(a) cos(b) =1-tan(a) tan(b)

Answers

The identity as been verified/proved as:

[tex]1 - \tan\ a\ tan\ b = 1 - \tan\ a\ tan\ b[/tex]

Given that:

[tex]\frac{\cos(a + b)}{\cos\ a\cos b} = 1 - \tan\ a\ tan\ b[/tex]

Apply cosine identity to the numerator

[tex]\frac{\cos\ a\ cos\ b - \sin a\ sin\ b}{\cos\ a\cos b} = 1 - \tan\ a\ tan\ b[/tex]

Split the fraction:

[tex]\frac{\cos\ a\ cos\ b}{\cos\ a\cos b} - \frac{\sin a\ sin\ b}{\cos\ a\cos b} = 1 - \tan\ a\ tan\ b[/tex]

Cancel out common terms

[tex]1 - \frac{\sin a\ sin\ b}{\cos\ a\cos b} = 1 - \tan\ a\ tan\ b[/tex]

In trigonometry, we have:

[tex]\frac{\sin \theta}{\cos \theta} = \tan \theta[/tex]

So, the equation becomes:

[tex]1 - \tan\ a\ tan\ b = 1 - \tan\ a\ tan\ b[/tex]

Hence, the identity has been verified

Read more about trigonometry identities at:

https://brainly.com/question/21055284

10x^3 - 25x^2 + 20
How to factor this

Answers

5(2x^2-x-2)(x-2)

Step-by-step

Answer:  [tex]5(\frac{10x^3}{5}+\frac{-25x^2}{5}+\frac{20}{5}) \\\\5(2x^3-5x^2+4)\\\\5(2x^2-x-2)(x-2)[/tex]

Determine which type of error is most likely to arise from the following situations. a 1. the time in which individuals are contacted to take a survey occurs during work hours f 2. the last part of a newspaper article asks readers to mail or email the newspaper their opinion about universal health coverage 3. subjects are asked to recall how often they snacked between meals in the past 30 days 4. a survey to assess teachers' opinions about Common Core uses a member list for the largest teachers' union as the sampling frame a. question wording b. undercoverage c. processing error d. bad sampling method e. response error f. nonresponse g. random sampling error

Answers

Answer:

Determination of type of error arising from the situations

Situation       Type of Error

1.                    Nonresponse

2.                   Bad sampling method

3.                   Question wording

4.                   Undercoverage

Step-by-step explanation:

Types of errors:

a. question wording means that the manner a question is worded elicits some particular responses, which may not accurately reflect reality.

b. undercoverage occurs when some elements of the target population is not represented on the survey frame.

c. processing error arises from data processing

d. bad sampling method is caused by the voluntariness of those who choose to respond.

e. response error is caused by a questionnaire that requires framing improvements, misinterpretation of questions by interviewers or respondents, and errors in respondents' statements.

f. nonresponse error arises as a result of incomplete information or partial response.

g. random sampling error arises from the limited sample size when compared with the population size.

Solve x/4 > 2 Question 10 options: x ≥ 8 x < –8 x > 8 x ≤ –8

Answers

Answer:

x > 8

Step-by-step explanation:

You can start y multiplying both sides by 4 to cancel out the division by 4:

x/4 > 2

*4      *4

x > 8

Answer:

x > 8

Step-by-step explanation:

x/4 > 2

=> x > 2 × 4

=> x > 8

Challenge for you:

You deposit $400 each month into an account earning 5% annual interest compounded monthly.

a) How much will you have in the account in 20 years?
b) How much total money will you put into the account?
c) How much total interest will you earn?

Answers

9514 1404 393

Answer:

  a) $164,413.47

  b) $96,000

  c) $68,413.47

Step-by-step explanation:

a) The account value is given by the annuity formula:

  A = P(12/r)((1 +r/12)^(12·t) -1)

where monthly payment P earns interest at annual rate r compounded monthly for t years.

  A = $400(12/0.05)((1 +0.05/12)^(12·20) -1) = $400(240)(1.712640285)

  A ≈ $164,412.47

You will have $164,413.47 in the account after 20 years.

__

b) You put $400 in the account each month for 240 months, for a total of ...

  $400 × 240 = $96,000 . . . . total of your deposits

__

c) The account balance in excess of your deposits is the amount of interest you earned:

  $164,413.47 -96,000 = $68,413.47 . . . . interest earned

In an annual report to investors, an investment firm claims that the share price of one of their bond funds had very little variability. The report shows the average price as $15.00 with a variance of 0.19. One of the investors wants to investigate this claim. He takes a random sample of the share prices for 22 days throughout the last year and finds that the standard deviation of the share price is 0.2517. Can the investor conclude that the variance of the share price of the bond fund is different than claimed at α = 0.05. Assume the population is normally distributed.

Required:
State the null and alternative hypotheses. Round to four decimal places when necessary

Answers

In this question, the variance of the population is tested. From the data given in the exercise, we build the hypothesis, then we find the value of  test statistic and it's respective p-value, to conclude the test. From this, it is found that the conclusion is:

The p-value of the test is 0.0038 < 0.05, which means that the investor can conclude that the variance of the share price of the bond fund is different than claimed at α = 0.05.

----------------

Claimed variance of 0.19:

This means that at the null hypothesis, it is tested if the variance is of 0.19, that is:

[tex]H_0: \sigma^2 = 0.19[/tex]

----------------

Test if the variance of the share price of the bond fund is different than claimed at α = 0.05.

At the alternative hypothesis, it is tested if the variance is different of the claimed value of 0.19, that is:

[tex]H_1: \sigma^2 \neq 0.19[/tex]

The test statistic for the population standard deviation/variance is:[tex]\chi^2 = \frac{n-1}{\sigma_0^2}s^2[/tex]

In which n is the sample size,  is the value tested for the variance and s is the sample standard deviation.

----------------

0.19 is tested at the null hypothesis, as the variance:

This means that [tex]\sigma_0^2 = 0.19[/tex]

----------------

He takes a random sample of the share prices for 22 days throughout the last year and finds that the standard deviation of the share price is 0.2517.

This means that [tex]n = 22, s^2 = (0.2517)^2 = 0.0634[/tex]

----------------

Value of the test statistic:

[tex]\chi^2 = \frac{n-1}{\sigma_0^2}s^2[/tex]

[tex]\chi^2 = \frac{21*0.0634}{0.19}[/tex]

[tex]\chi^2 = 7[/tex]

----------------

P-value of the test and decision:

The p-value of the test is found using a chi-square for the variance calculator, considering a test statistic of [tex]\chi^2 = 7[/tex] and 22 - 1 = 21 degrees of freedom, and a two-tailed test(test if the mean is different of a value).

Using the calculator, the p-value of the test is 0.0038.

The p-value of the test is 0.0038 < 0.05, which means that the investor can conclude that the variance of the share price of the bond fund is different than claimed at α = 0.05.

For more on hypothesis tests using variances/standard deviation, you can check https://brainly.com/question/13993951

please find the answer

Answers

Answer:

I hope this is correct but 8.5 or 8 1/2 Units

Answer:

i think it is 8 1/2.

Step-by-step explanation:

my reasoning is that because v=lwh. the length is 4 and hw is 2 1/8. so i multiplied those together.

Polygon mnopq is dialated by scale factor of 0.8 with the origin as the center dilation resulting in the image MNOPQ the coordinates of point M are (2,4) and the coordinates of point N are (3,5). The slope of MN is?

Answers

9514 1404 393

Answer:

  1

Step-by-step explanation:

The slope is given by the formula ...

  slope = (y2 -y1)/(x2 -x1)

  slope = (5 -4)/(3 -2) = 1/1 = 1

The slope of MN is 1.

__

Dilation does not change the slope.

The place value of 7 in 87534 is____________​

Answers

Place value of 7 is Thousand (1000)
the value place of 7 is thousand

A^2 + 2AB +B^2



habsbsjabdhjsbfhjbsdjh

Answers

(A+b)(a+b)
I dont understand the writing. I’m doing this math using factoring

need help pls with this question. im struggling with this question.

Answers

Answer:

i can't rn but i could explain to you how... so first put a point on 0,5 then move down one and right one... then keep moving down one and right one

and there you go thats your graph

Step-by-step explanation:

so, sunny is 16 he is 132 pounds
the song my time lasts 3:33 and sunny is falling for an entire 3 minutes
the gravitational pull which is pulling sunny back down to the ground is about 10m/s²
we have the new height of the hospital, is 49312,674 meters, or 161.787 feet
upon theory, sunny died upon coming to contact with the ground if you fall head first from 100 feet you're bound to die
you can break just your legs from falling from atleast 16-18 feet so imagine that

??????

Answers

The answer would be 79 because the dog punched the alpaca

What is the difference between the centroid and the center of mass?A: When (), ,, ,x y zc x y zthen the center of mass is the centroid.

Answers

The centroid and center of mass need not be the same point. They are the same only when a body's mass is uniformly distributed.

A school sports team contains 68 students. 33 do field events, 40 do track events, 23 do swimming, 14 do both field and track events, 8 do both swimming and field events. If 15 students do field events only and 10 do both swimming and track events, how many students do a. Swimming only b. Track events only c. All three events? ​

Answers

Answer:

a. 9 students

b. 20 students

c. 4 students

9 students20 students4 students

Given that the supply and demand function for the product type is Qd = [tex]\sqrt{260-p}[/tex],
Qs = [tex]\sqrt{p-14}[/tex]. consumer surplus ??.

Answers

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Ojim okay omjjmmimp oil my kkui mom m
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Onjominml I’m o mmm I’m

Suppose (-13,2) is a point on the graph of y=f(x). What is a point that will be on the graph of y=9f(x)-5

Answers

9514 1404 393

Answer:

  (x, y') = (-13, 13)

Step-by-step explanation:

At the given value of x, f(x) = 2. Then 9f(x)-5 = 9(2) -5 = 13.

The point on the scaled, translated graph will be ...

  (x, y') = (-13, 13)

_____

The graph shows a function f(x) with a distinct feature (vertex) at (-13, 2). It also shows where that distinct feature moves to when the function is scaled and translated.

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New educational study has proven that the practice of writing, erasing, and rewriting improves students' ability to process information, leading parents to steer away from pen use in favor of pencils.a. Trueb. False What is the measure of Z? which of the following is not an instance of benefit in from gases ?1) filling thermometers2) inflating tyres3) in LP gas cylinders4) in pressure cookers An urn contains 2 small pink balls, 7 small purple balls, and 6 small white balls.Three balls are selected, one after the other, without replacement.Find the probability that all three balls are purpleExpress your answer as a decimal, rounded to the nearest hundredth. Please help me with solving these. Id really appreciate your help. Thank you very much. The ending inventory of finished goods has a total cost of $9,000 and consists of 600 units. If the overhead applied to these goods is $3,000, and the overhead rate is 75% of direct labor, how much direct materials cost was incurred in producing these units which of the following advertisements effectively appeals to logic Find sin A, round to the nearest hundredth. calculate the value of X in the diagram The average distance between the variable scores and the mean in a set of data is the.rangeB. standard deviation.meanD medianPlease select the best answer from the choices provided.D Which of the following is an example of an exponential equation?y=(3x)^2y=x/2y=x^4y=2(3)^x In '' The Road Not Taken'' written by Robert Frost, there are the lines '' Yet knowing how way leads on to way / I doubted if I should ever come back''. Explain this quote in your own words. Do you agree or disagree with it MC Qu. 94 A company uses a process... A company uses a process costing system. Its Assembly Department's beginning inventory consisted of 57,200 units, 75% complete with respect to direct labor and overhead. The direct labor beginning inventory costs were $10,700. The department completed and transferred out 109,500 units this period. The ending inventory consists of 47,200 units that are 25% complete with respect to direct labor and overhead. All direct materials are added at the beginning of the process. The department incurred direct labor costs of $42,000 and overhead costs of $50,000 for the period. Assuming the weighted average method, the direct labor cost per equivalent unit (rounded to the nearest cent) is: Solve for x. Round to the nearest tenth, if necessary. What is the number that fills in for AD? Alejandro was reprimanded for an accounting error by his boss in front of his co-workers. Alejandro gets home from his job and yells at his wife for not having dinner ready. His wife then yells at the children for leaving their toys all over the house. This BEST illustrates the use of a defense mechanism known as _____. what act of violence did the proslavery people commit? An experimental drug is administered to 130 randomly selected individuals, with the number of individuals responding favorably recorded. Does the probability experiment represent a binomial experiment Ano ang mga pangyayari na nagbigay daan upang ideklara ang batas militar The function f(t) = 4t2 8t + 7 shows the height from the ground f(t), in meters, of a roller coaster car at different times t. Write f(t) in the vertex form a(x h)2 + k, where a, h, and k are integers, and interpret the vertex of f(t).