Biased or Random?

Michael wants to determine the amount of time that 7th graders spend studying for tests. He surveys 80 7th grade students as they get to school.

Answers

Answer 1
The correct answer is random because he’s asking the first 80 7th grade students that enter the school instead of picking select students such as his friends

Related Questions

can someone please help me ?? i’ll give brainliest

Answers

Answer:

ABE bc its the same degree angle

Step-by-step explanation:

Answer:

C) angle BEF

Step-by-step explanation:

Vertical angles are angles opposite each other where two lines cross. BEF is opposite of DEH

Cody has $1400 in a savings account that earns 4 % annually. How much will he have total after 3 years?

Use the formula = , where is the interest earned, is the principal (starting amount), is the interest rate expressed as a decimal, and is the time in years.

Answers

$1400 - Savings
4% Per Year
3 Years
4% x 3 = 12% Total
1400 x 12% = $168
$1568 Total

Answer:

$1,574.81

Steps:

total after 1 year = (1400/100 × 4) + 1400 = (14 × 4) + 1400 = 56 + 1400 = $1456total after 2 years = (1456/100 × 4) + 1456 = (14.56 × 4) + 1456 = 58.24 + 1456 = $1,514.24total after 3 years = (1,514.24/100 × 4) + 1,514.24 = (15.14 × 4) + 1,514.24 = 60.57 + 1,514.24 = $1,574.81

Of all of the individuals who develop a certain rash, suppose the mean recovery time for individuals who do not use any form of treatment is 30 days with standard deviation equal to 8. A pharmaceutical company manufacturing a certain cream wishes to determine whether the cream shortens, extends, or has no effect on the recovery time. The company chooses a random sample of 100 individuals who have used the cream, and determines that the mean recovery time for these individuals was 28.5 days. Does the cream have any effect

Answers

Answer:

z(s) is in the rejection  region. We reject  H₀. We dont have enought evidence to support that the cream has effect over the recovery time

Step-by-step explanation:

Sample information:

Size     n = 100

mean   x = 28,5

Population information

μ₀  =  30

Standard deviation  σ   = 8

Test Hypothesis

Null Hypothesis          H₀                x =  μ₀

Alternative Hypothesis   Hₐ           x <  μ₀

We assume CI = 95 %   then α = 5 %    α = 0,05

As the alternative hypothesis suggest we should develop a one tail-test on the left ( we need to find out if the cream have any effect on the rash), effects on the rash could be measured as days of recovery

A z(c) for 0,05 from z-table is:  z(c) = - 1,64

z(s) = ( x - μ₀ ) / σ/√n

z(s) = ( 28,5 - 30 ) / 8/√100

z(s) = - 1,5 * 10 / 8

z(s) =  - 1,875

Comparing z(s)  and z(c)

|z(s)| < |z(c)|        1,875  > 1,64

z(s) is in the rejection  region. We reject  H₀. We dont have enought evidence to support that the cream has effect over the recovery time

Which postulate or theorem proves △SQY∼△PTY?

A. SAS Similarity Theorem
B. SSS Similarity Theorem
C. AA Similarity Postulate

Answers

Check the picture below.

[tex]\stackrel{ \textit{\LARGE S} }{\cfrac{8}{4}}~~ = ~~\stackrel{ \textit{\LARGE S} }{\cfrac{12}{6}}~~ = ~~\stackrel{ \textit{\LARGE S} }{\cfrac{4}{2}}\implies \text{\LARGE 2}\qquad \textit{similar triangles by SSS}[/tex]

Joe needs to get to his house,which is 106 miles away in 2 hours.How fast does he need to drive

Answers

Answer:

53

Step-by-step explanation:

106 miles per hour would get him home in 1 hour but it takes 2 hours so you can divide 106 by 2 to 53 miles per hour.

Fox vvgggfffdfccvvvgttg

The length of the arc which subtends an angle 60° at
the centre of a circle of radius 3 cm is approximately​

Answers

Answer:

π cm

Step-by-step explanation:

The formula for arc length (s) as a function of radius (r) and central angle Ф (in radians) is s = rФ.

In this problem r = 3 cm and Ф = 60°, and so the arc length subtended is

s = (3 cm)(π/3) = π cm

I’m unsure how to do this statistics problem I believe it has to do with the bell curve

Answers

You’d have to write out a graph with standard deviation and all that. It would be C. Ask if you want a better explanation

In a lottery game, three winning numbers are chosen uniformly at random from {1...100}, sampling without replacement. Lottery tickets cost $1 and allow a player to pick 3 numbers. If a player matches the three winning numbers they win the jackpot prize of $1,000. For matching exactly two numbers, they win $15. For matching exactly one number they win $3.

Required:
Find the distribution of net winnings for a random lottery ticket. Show that the expected value of the game is -70.8 cents.

Answers

Two ways to increase the statistical power of an experiment
Each increases the probability of determining a real effect of the independent variable:
Increase the sample size: Power is.

A fish aquarium is 3 ft long, 2 ft wide, and 2 ft high. What is the volume of the aquarium?

ANSWER ASAP I DONT HAVE MUCH TIME

Answers

I Believe It Is 12ft

help me plsssssssss asap​

Answers

Answer:

B

Step-by-step explanation:

All you have to do is count, and you'll see 5 faces, 6 vertices, and 9 edges

its easy to do.

The answer would be B.

Write and equation and solve it for the following:

Seven more that twice a number is 25. What is the number?

Answers

Answer: Equation: 2n+7=25 Number: n=9

Step-by-step explanation: Twice a number is 2 × n= 2n. 7 more is +7. Hence we get 2n+7=25. Subtract 7 from both sides then divide by 2 and we get 9!

Answer:

9

Step-by-step explanation:

Work backwards

25 - 7 = 18

18 ÷ 2 = 9

You can solve the problem normally to check.

9 × 2 = 18

18 + 7 = 25

That proves that the answer is right. Hope this helps you! Let me know how you did!

Use the scale to find the actual area of Janets bedroom in square feet!

Answers

Answer: 17 feet long 14 feet wide

The model has a scale of 1 : 16 so you can use a calculator like this one to find the exact length. https://www.ginifab.com/feeds/cm_to_inch/scale_converter.html

A sector has angle 2.5 radians and perimeter of 18cm. find the radius of the sector
(The answer is 10.5, but how?) pls help

Answers

Answer:

4 cm

Step-by-step explanation:

Perimeter = 18cm

θ = 2.5 radian

s = rθ, s = Arc length

Perimeter of Sector, P = arc length, s + 2r

Perimeter = rθ + 2r

r = Radius

18cm = r(2.5) + 2r

18cm = 2.5r + 2r

18cm = 4.5r

r = 18 /4.5

r = 4

and Mandy takes 3.9 percent of jimmy chocolate jimmy has 5000 pieces of chocolate chocolate how much does jimmy have left

Answers

Answer:

Jimmy has 4805 left

Step-by-step explanation:

3.9% = 0.039

5000(0.039) = 195

Mandy took 195 pieces

5000 - 195 = 4805

Jimmy has 4805 left

Please help me please

Answers

Answer:

486 square inches

Step-by-step explanation:

Giving brainliest to someone who answers this :D plus points too

Answers

Answer:

13) 27 units³

14) 160 units³

15) 189 units³

Step-by-step explanation:

To find the volume of a rectangular prism, we need to multiply the length, width, and height of the figure together.

The dimensions of figure 13 are 9, 3, and 1

9 · 3 · 1 = 27

The volume of the figure is 27 units³.

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

The dimensions of figure 14 are 5, 8, and 4

5 · 8 · 4 = 160

The volume of the figure is 160 units³.

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

The dimensions of figure 15 are 3, 9, and 7

3 · 9 · 7 = 189

The volume of the figure is 189 units³.

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

I hope this helps ^^ Good luck :]

The following quadrilateral is a parallelogram. Solve for x, y, and z.

Answers

Answer:

X = 44Y = 31Z = 105

Step-by-step explanation:

The measurements of a quadrilateral will add up to be 360. Additionally, we know these two triangles created within the parallelogram will be congruent, so their corresponding angles will also be congruent by CPCTC.

(44 * 2) + (105 * 2) + (31 * 2) = 360

Have a nice day, fam. Spread The Love.

find sin(b) in the triangle

Answers

Answer:

We need the triangle, please

Explanation:

Can't find anything about a triangle without the triangle

Answer:

0

Step-by-step explanation:

Sin(undefined) reports 0.

If the value is not undefined, please provide the triangle.

n exponential function and a quadratic function are graphed below. Which of the following is true of the growth rate of the functions over the interval
The exponential grows at half the rate of the quadratic.
The exponential grows at the same rate as the quadratic.
The exponential grows at twice the rate of the quadratic.
The exponential grows at four times the rate of the quadratic.

Answers

https://brainly.com/question/4184462

Answer:

the answer is B)

Step-by-step explanation:

edg2021 :>

The graph represents the gallons of water (y) per minute (x) dispensed by a shower head. Which statements are correct?

Answers

The relationship has been analysed using the property of straight line.The correct options are (C), (D) and (E) respectively.

How to represent a straight line on a graph?

To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.

The given options are examined one by one as follows,

(a) The point (0, 0) on the graph represents the zero number of gallons dispensed at the beginning.

(b) The point (5, 1) does not lie on the graph.

(c)  The point (1, 5) represents 5 gallons dispensed during 1 minute which is equivalent to the unit rate.

(d) The point (1.5, 7.5) lies on the graph which represents 7.5 gallons dispensed in 1.5 minutes.

(e) The point (0, 0) shows no gallons dispensed at t = 0.

Hence, the correct information inferred from the graph are the point (1, 5) represents the unit rate, 7.5 gallons for 1.5 minutes and the point (0, 0) represents zero minutes for zero gallons.

To know more about graph of straight line click on,

https://brainly.com/question/16934180

#SPJ1

integrate by parts xInx​

Answers

Answer:

[tex]\displaystyle \int {x \ln x} \, dx = \frac{x^2}{2} \bigg( \ln(x) - \frac{1}{2} \bigg) + C[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Integration

Integrals[Indefinite Integrals] Integration Constant C

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration by Parts:                                                                                              [tex]\displaystyle \int {u} \, dv = uv - \int {v} \, du[/tex]

[IBP] LIPET: Logs, inverses, Polynomials, Exponentials, Trig

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int {x \ln x} \, dx[/tex]

Step 2: Integrate Pt. 1

Identify variables for integration by parts using LIPET.

Set u:                                                                                                             [tex]\displaystyle u = \ln x[/tex][u] Logarithmic Differentiation:                                                                    [tex]\displaystyle du = \frac{1}{x} \ dx[/tex]Set dv:                                                                                                           [tex]\displaystyle dv = x \ dx[/tex][dv] Integration Rule [Reverse Power Rule]:                                               [tex]\displaystyle v = \frac{x^2}{2}[/tex]

Step 3: Integrate Pt. 2

[Integral] Integration by Parts:                                                                       [tex]\displaystyle \int {x \ln x} \, dx = \frac{x^2 \ln x}{2} - \int {\frac{x}{2}} \, dx[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]:                 [tex]\displaystyle \int {x \ln x} \, dx = \frac{x^2 \ln x}{2} - \frac{1}{2} \int {x} \, dx[/tex]Factor:                                                                                                           [tex]\displaystyle \int {x \ln x} \, dx = \frac{1}{2} \bigg( x^2 \ln(x) - \int {x} \, dx \bigg)[/tex][Integral] Integration Rule [Reverse Power Rule]:                                       [tex]\displaystyle \int {x \ln x} \, dx = \frac{1}{2} \bigg( x^2 \ln(x) - \frac{x^2}{2} \bigg) + C[/tex]Factor:                                                                                                           [tex]\displaystyle \int {x \ln x} \, dx = \frac{x^2}{2} \bigg( \ln(x) - \frac{1}{2} \bigg) + C[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

you don't have to answer them all but help me out !!

Answers

Answer:

1. 10n

2. 3x^2z^2

3. 2(9n^3 - 3n^2 + 3n - 1)

4. (Put the same thing)

5. There are no common factors so it is completely factored out.

Step-by-step explanation:

For 1, you gotta find the gcf of the numbers and the variables. So, the common factor of 90, 70, 70, and -80 is 10. Nothing else greater than 10 divides these numbers. For the variables, only "n" is the GCF, as there is one "n" and all the other numbers have n^2 and etc.

For 2, same thing, you have to find the gcf for the numbers and the variables.

3. same thing ;-; (gcf is 2 btw, nothing divides the variables because 2 has no "n".

4. theres nothing that divides the numbers or the variables. So, the gcf is just 1.

Justin earns a base salary of $1500 per month at
the jewelry shop. He also earns a 3% commission
on all sales. If Just sold $82,975 worth of jewelry
last month, how much would he make for the
month including his base salary and commission?

Answers

Answer: $1500 + 3% + $82,975= 84475.03

Step-by-step explanation:

Having Problems With This Question

Answers

Answer:

f+g(2)=10

f-g(4)=-4

F/G(2)= 7/3

(f)(g)(1)=0

Step-by-step explanation:

1. (f+g)=2x+3+x^2-1 2(2)+2=10

2. (f-g)=(2x+3)-(x^2-1)=-x^2+2x+4= -16+8+4=-4

3. f/g= 2x+3/x^2-1 4+3/3= 7/3

4. f*g= (2x+3)(x^2-1)= 2x^3+3x^2-2x-3= 2(1)^3-2(1)+3(1)^2-3=0

list at least 4 attributes that are shared by all of the shapes in the rectangle group

Answers

Answer:

All of the figures have 4 sides  and 4  vertices

They have opposite sides parallel and congruent.

They have four right angles.

They also have perpendicular line segments.

Step-by-step explanation:

Hope this helps!!!

Which is the greater decimal?

.721 or .72

Answers

Answer:

.721 is bigger because Il earned that the decimal that has a larger number as there last number is the greatest decimal.

Step-by-step explanation:

A lie detector is known to be 4/5 reliable when the person is guilty and 9/10 reliable when the person is innocent. If a suspect is chosen from a group of suspects of which only 1/100 have ever committed a crime, and the test indicates that the person is guilty, what is the probability that he is guilty?

Answers

Answer:

0.0748 = 7.48% probability that he is guilty

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Tests indicates guilty

Event B: Person is guilty

Probability that the test indicates that the person is guilty:

4/5 = 0.8 of 1/100 = 0.01(person is guilty)

1 - 0.9 = 0.1 of 1 - 0.99(person is not guilty). So

[tex]P(A) = 0.8*0.01 + 0.1*0.99 = 0.107[/tex]

Test indicates guilty and the person is guilty;

0.01 of 0.8. So

[tex]P(A \cap B) = 0.01*0.8 = 0.008[/tex]

What is the probability that he is guilty?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.008}{0.107} = 0.0748[/tex]

0.0748 = 7.48% probability that he is guilty

The required value is [tex]\simeq0.925 \ or \ 92.5[/tex]%.

Probability:

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are to happen, using it.

Let [tex]T_G[/tex] and [tex]T_I[/tex] denote the test result being guilty or innocent respectively.

And, [tex]G[/tex] and [tex]I[/tex] denote that the person is guilty or innocent respectively.

Given that: [tex]P\left ( T_G\mid I \right )=\frac{4}{5}[/tex]

[tex]P\left ( T_I\mid I \right )=\frac{9}{10}\Rightarrow P\left ( T_G\mid I \right )=1-\frac{9}{10}=\frac{1}{10}[/tex]

[tex]P(G)=\frac{1}{100} \\ \therefore P(I)=1-P(G) \\ =1-\frac{1}{100} \\ =\frac{99}{100}[/tex]

Now, the required probability is,

[tex]P(I\mid T_G)=\frac{P\left ( T_G\mid I \right )\times P(I)}{P(T_G\mid I)\times P(I)+P\left ( T_G\mid G \right )\times P(G)}[/tex]

              [tex]=\frac{\frac{1}{10}\times\frac{99}{100}}{\left ( \frac{1}{10}\times \frac{99}{100}\right )+\left ( \frac{4}{5}\times\frac{1}{100} \right )} \\ =\frac{0.099}{0.099+0.008} \\ =\frac{0.099}{0.107} \\ =0.92523 \\ \simeq 0.925 \\ or \ 92.5%[/tex]

Learn more about the topic of Probability:  brainly.com/question/26959834

We intend to estimate the average driving time of a group of commuters. From a previous study, we believe that the average time is 42 minutes with a standard deviation of 10 minutes. We want our 90 percent confidence interval to have a margin of error of no more than plus or minus 2 minutes. What is the smallest sample size that we should consider

Answers

Answer:

The smallest sample size that we should consider is 68.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation of 10 minutes.

This means that [tex]\mu = 10[/tex]

What is the smallest sample size that we should consider?

This is n for which M = 2. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]2 = 1.645\frac{10}{\sqrt{n}}[/tex]

[tex]2\sqrt{n} = 1.645*10[/tex]

[tex]\sqrt{n} = 1.645*5[/tex]

[tex](\sqrt{n})^2 = (1.645*5)^2[/tex]

[tex]n = 67.7[/tex]

Rounding up:

The smallest sample size that we should consider is 68.

79%
3rd
Her monthly salary is twice the sum of her husband's salary and four. Her monthly
salary is also equal to four more than four times his salary. How much does the
husband make a month? Note the husband's monthly salary is in terms of thousand
dollars.

Answers

9514 1404 393

Answer:

  0

Step-by-step explanation:

The two expressions for her salary can be equated:

  2h +4 = 4 +4h

  0 = 2h . . . . . . . . subtract 2h+4 from both sides

  h = 0 . . . the husband's salary is zero dollars per month

Answer:

$2000

Step-by-step explanation:

question is in picture please help!

Answers

Answer:

I’m not 100% sure but I think 120°.

Step-by-step explanation:

This is because, angles on a straight line add up to 180°. Because there is 60 degrees on one side of line B, this means the other section is 120° (120°+60°=180°) The angle labelled (3x) is alternate to the angle of 120°. Alternate angles are always equal, meaning that 3x is equal to 120°.

I hope this is right.

Other Questions
Which one of the following is not a common goal of a cybersecurity attacker?A. DisclosureB. DenialC. AlterationD. Allocation Hello could you help me with this please: A CBA of a new coal mine cites the employment and profit or producer surplus benefits for the local steel manufacturing industry (that uses coal) and port (that aids in the export of coal) in its CBA. Is this a legitimate benefit of the coal mine for the CBA? Explain On page 23 of your brief, you cited to the same case as in problem 1. On page 26 of your brief, you would like to refer to this case again, focusing your readers attention on information beginning on page 69 of the opinion and continuing on to page 70. You have cited to other cases in the interim. [Text of Problem 1: Ahmad B. Nurriddin, Plaintiff, versus Charles F. Bolden, Jr. , Administrator of NASA, Defendant. This case was decided in the United States District Court for the District of Columbia on December 4, 2009. This case is reported in volume 674, page 64, of Federal Supplement, Second Series. ] Use of qualitative and quantitative data to analyze India in terms of the pros/cons of operating a business in the country. Be as specific as possible. AB Inc. assumes new customers will default 8 percent of the time but if they don't default, they will become repeat customers who always pay their bills. Assume the average sale is $383 with a variable cost of $260, and a monthly required return of 1.65 percent. What is the NPV of extending credit for one month to a new customer? Assume 30 days per month. Over the last few decades, the United States beer industry has been characterized by a very clear trend toward an increase in the concentration of the market. Today, some 80% of all beer consumed in the United States is produced by just three companies Anheuser-Busch (which is now owned by lnBev of Belgium), SAB-Miller, and Molson Coors up from 57% of the market in 1980. Anheuser-Busch had almost 50% of the market in 2008, up from just 28.2% in 1980. SAB-Miller (formed in 2002 when South African Breweries merged with Miller Beer) had around 19% of the market, and Molson Coors (formed in 2005 when Canada's Molson merged with Coors) had 11% of the market.Anheuser Busch, SAB-Miller, and Molson Coors dominate the mass market segment of the industry, where competition revolves around aggressive pricing, brand loyalty, distribution channels, and national advertising spending. In contrast, there is another segment in the industry, the premium beer segment, which is served by a large number of microbrewers and importers, the majority of which have a market share of less than 1%. The premium segment focuses on discerning buyers. Producers are engaged in the art of craft brewing. They build their brands around taste and cover higher product costs by charging much higher prices roughly twice as much for a six pack as the mass market brewers. The microbrewers and importers have been gaining share and currently account for about 11% of the total market.Over the past two decades, the industry has changed in a number of ways. First, consumption of beer in the United States has been gradually declining, (even though the consumption of premium beer has been increasing). Per capita consumption of beer peaked at 30 gallons in 1980 and fell to a low of 21.8 gallons in 2007. The decline in consumption was partly due to the growing popularity of substitutes, particularly wine and spirits. In 1994, Americans consumed 1.75 gallons of wine per capita. By 2006, that at figure had risen 2.16 gallons. Consumption of spirits increased from 1.27 gallons per capita in 1994 to 1.34 gallons per capita over the same period.Second, advertising spending has steadily increased, putting smaller brewers at a disadvantage. In 1975, the industry was spending $0.18 per case on advertising; by 2002 it was spending $0.40 per case. (These figures are in inflation adjusted or constant dollars.) Smaller mass-market brewers could not afford the expensive national TV advertising campaigns required to match the spending of the largest firms in the industry, and they saw their market share shrink as a result.Third, due to a combination of technological change in canning and distribution and increased advertising expenditures, the size that a mass-market brewer has to attain to reap all economics of scale called the minimum efficient scale of production has steadily increased. In 1970, the minimum efficient scale of production was estimated to be 8 million barrels of beer a year, suggesting that a market share of 6.4% was required to reap significant economies of scale.By the early 2000s, the minimum efficient scale had increased to 23 million barrels, implying that a market share of 13.06% was required to reap significant economies of scale. By the early 2000s, only 24 mass-market brewers were left in the United States, down from 82 in 1970. Among the remaining mass-market brewers, Anheuser Busch is the most consistent performer due to its superior economies of scale. The company's ROIC has been high, fluctuating in the 17% to 23% range between 1996 and 2008, while net profits grew from $1.1 billion in 1996 to $2 billion in 2008. In contrast, both Coors and Miller, along with most other mass market brewers, have had mediocre financial performance at best. Coors and Miller merged with Molson and SAB, respectively, in an attempt to gain economies of scale.Question a. Imagine you are a consultant for SAB-Miller and need to describe what influences industry profitability. Please use information from the case and not updated information (this industry has changed dramatically).b. Define the industry. What companies should you consider when completing a Porters Five Forces analysis?c. What is the industry competitive structure? What are different ways of validating the hypothesis aboutcustomer demand? Elaborate both qualitative and quantitativevalidation techniques If someone is attempting to focus on multiple tasks at one time, it could be said that they have...a. Enhanced attentionb. Selective attentionc. Divided attentiond. Focused attention Problem 5 (12 points). Does the convergence of (a + b) necessarily imply the convergence of an and Eb? If your answer is YES, prove it using an elementary argument, that is, an argument relying only on definitions. (You may assume the linearity of the convergence of sequences.) Give a counterexample if your answer is NO. If TC = 196-11Q + Q2 in perfect competition how much will each individual firm produce in the long-run? A 20 g ball of clay traveling east at 4.5 m/s collides with a 45 g ball of clay traveling north at 2.0 m/s.A: What is the speed of the resulting 65 g ball of clay?Express your answer with the appropriate units.v = ?What is the direction of the resulting ball of clay?theta = ? A small amount of fluid is contained in the pleural cavity to allow white blood cells and macrophages access to foreign antigens entering the body through air allow gas exchange between the lungs and the blood stream function as a lubricant as the lungs move during ventilation promote the exchange of nutrients with both lungs serve as a shock absorber for the lungs during body movement A company was in the last week of December 2019. It pays employees on Fridays for a seven-day work week that begins the prior Friday and ends on the Thursday preceding the pay day. The salaries and wages for the 7-days total $902,160. The employees earn the same daily amount. In 2019, the year end [December 31] fell on a Tuesday. Based on the information, the following entry would be appropriate at year end December 31st: Salaries & Wages Expense Cash O Salary & Wages Expense Salary & Wages Payable Salaries & Wages Expense Salary & Wages Payable Salaries & Wages Expense Salary & Wages Payable none of these entries are correct. $902,160 $721,728 $644,400 $180,432 $902,160 $721,728 $644,400 $180,432 Use Routh's stability criterion to determine how many roots with positive real parts the following equations have: a. s4+8s3+32s2+80s+100=0 b. s5+10s4+30s3+80s2+344s+480=0 c. s4+2s3+7s22s+8=0 d. s3+s2+20s+78=0 In the main method of your driver create an ArrayList (Java) or List (C\#) of Customer. Call the method menu passing it the arraylist/list. - In your driver class write a method called menu. It should take in an ArrayList (Java) or List (C\#) of Customers. - Print out the menu and read in the users choice (see below for exact text of menu). - If the user chooses 1 , prompt them for a name and date of birth. Insert into the ArrayList/List a new object of type NewTest with that data in it. - If the user chooses 2, prompt them for a name. Insert into the ArrayList/List a new object of type Renew with the data in it. If the user chooses 3 , prompt them for a name and the state they moved from. Insert into the ArrayList/List a new object of type Move with the data in it. - If the user chooses 4 , prompt them for a name and the nature of the violation they committed. Insert into the ArrayList/List a new object of type Suspended with the data in it. If the user chooses 5 , use a loop to print out the customers info for all customers in the queue. Note each type of customer has a getCustomerInfo method you can call, and it'll return the correct info. - The menu should keep prompting the user until they select 6. Example Runs: [User input in red] 1. Take test for new license 2. Renew existing license 3. Move from out of state 4. Answer citation/suspended license 5. See current queue 6. Quit 1 What is your name? Conor What is your date of birth? 09/09/03 1. Take test for new license 2. Renew existing license a city council consists of eight democrats and seven republicans if a committee of seven people is selected find the probability of selecting five democrats and two republicans Remaining Time: 1 hour, 46 minutes, 09 seconds. Question Completion Status: 2 3 5 1 9 10 12 13 14 15 16 Moving to another question will save this response. 4 R uestion 3 Mariam, Sabah and Fatima are p On January 3 of the current year, Wilson purchased 300 shares of common stock in Corporation Why for $120 per share. Four months later, he purchased 100 additional shares at $180 per share. On December 10 of the current year, Wilson received a 10% nontaxable stock dividend. The new and the old stock are identical. What is the amount of Wilson's basis in each share of stock of Corporation Why stock after the stock dividend? Completion Status: Moving to another question will save this response Question 8 5 points Michael has nothing in his retirement account. However, he plans to save $8,500.00 per year in his retirement account for each of the next 15 years. His first contribution to his rement account is expected in 1 year. Michael expects to earn 8.00 percent per year in his retirement account. Michael plans to retire in 15 years, immediately after making his $5.500.00 contribution to his retirement account, in retirement, Michael plans to withdraw 138,000.00 per year for as long as he can. How many payments of $3,000.00 can Michael expect to receive in retirement if the receives annual payments of $38,000.00 in retirement and his first retirement payment is received exactly 1 year after he retires? O&M plus or miss 02 payment) 354 0137 Michael can make an Dis not corect and minus 02 payment) of minos 0.2 paymen) es umber of and withof $38,000.00 in ment the AC within 02 payments of the correct answer Question & of 20 All other things being equal, when the demand for money decreases interest rates decrease. interest rates increase. the government prints more money. the government takes money out of circulation.