Given the sample data below, test the claim that the proportion of male voters who plan to vote Republican at the next presidential election is 15 percentage points more than the percentage of female voters who plan to vote Republican. Assume all requirements are met. Use the P-value method of testing hypotheses.
Men: n1 = 250, x1 = 146
Women: n2 = 202, x2 = 103

Answers

Answer 1

Answer:

[tex]z=\frac{0.584-0.510 -0.15}{\sqrt{0.551(1-0.551)(\frac{1}{250}+\frac{1}{202})}}=-1.615[/tex]    

The p value would be given by:

[tex]p_v =P(Z<-1.615)= 0.0531[/tex]    

The p value if is compared with a significance of 5% we see that is higher than 0.05 so then at this significance level we have enough evidence to conclude that the true difference in the proportion of males in favor is 15% more than the % of females in favor

Step-by-step explanation:

Information provided

[tex]X_{1}=146[/tex] represent the number of male in favor

[tex]X_{2}=103[/tex] represent the number of female in favor

[tex]n_{1}=250[/tex] sample of males selected

[tex]n_{2}=203[/tex] sample of females selected

[tex]p_{1}=\frac{146}{250}=0.584[/tex] represent the proportion of males in favor

[tex]p_{2}=\frac{103}{202}=0.510[/tex] represent the proportion of females in favor

[tex]\hat p[/tex] represent the pooled estimate of p

z would represent the statistic

[tex]p_v[/tex] represent the value

System of hypothesis

We want to test if the proportion of males in favor is 0.15 point above the proportion of females, the system of hypothesis would be:    

Null hypothesis:[tex]p_{1} - p_{2} \geq 0.15[/tex]    

Alternative hypothesis:[tex]p_{1} - p_{2} <0.15[/tex]    

The statistic is given by:

[tex]z=\frac{p_{1}-p_{2} -0.15}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}[/tex]   (1)  

Where [tex]\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{146+103}{250+202}=0.551[/tex]  

Replacing the info given we got:

[tex]z=\frac{0.584-0.510 -0.15}{\sqrt{0.551(1-0.551)(\frac{1}{250}+\frac{1}{202})}}=-1.615[/tex]    

The p value would be given by:

[tex]p_v =P(Z<-1.615)= 0.0531[/tex]    

The p value if is compared with a significance of 5% we see that is higher than 0.05 so then at this significance level we have enough evidence to conclude that the true difference in the proportion of males in favor is 15% more than the % of females in favor


Related Questions

Determinaţi lungimea diagonalei unui pătrat cu latura de 6 cm

Answers

Answer: 8.49cm

Step-by-step explanation:

Given Data:

Let a be no of side = 6

Therefore

d = √2 * a

d = √2 * 6

d = 1.4142 * 6

d = 8.49cm

The diagonal is 8.49cm

Answer:

The length of the diagonal of a square of length 6 cm is 6√2 cm = 8.485 cm

Step-by-step explanation:

English Translation

Determine the length of the diagonal of a square with a side of 6 cm.

Solution

Let the length of the diagonal be d.

And the length of each side of the square be s.

Note that s = 6 cm

The two sides of the square and the diagonal form a right angled triangle with the diagonal serving as the hypotenuse.

Using Pythagoras theorem, the square of the hypotenuse is equal to the sum of the individual squares of the two other sides of the right angled triangle.

d² = s² + s²

d² = 2s²

d = √(2s²)

d = s √2

note that s = 6 cm

d = 6 × √2 = 6√2 cm = 8.485 cm

Hope this Helps!!!

Which statements are true about the graph of the function f(x) = x2 - 8x + 5? Select three options.
The function in vertex form is f(x) = (x - 4)2 - 11.
The vertex of the function is (-8,5).
The axis of synimetry is x = 5.
The y-intercept of the function is (0,5).
ОО
The function crosses the x-axis twice.

Answers

Answer:

The answer is A, D, and E on Edge

Step-by-step explanation:

idek man but i got it right so

Answer: Option A,  D, E

(A) The function in vertex form is f(x) = (x – 4)2 – 11.

(D) The y-intercept of the function is (0, 5).

(E) The function crosses the x-axis twice.

Step-by-step explanation:

Which statements are true about the graph of the function f(x) = x2 – 8x + 5? Select three options.

The Hyperbolic Sine (sinh(x)) and Hyperbolic Cosine (cosh(x)) functions are defined as such: sin h(x) = e^x - e^-x/2 cosh(x) = e^x + e^-x/2 Compute the y-Intercept of both functions Then Determine the end behavior of these two functions by analyzing the limit as x goes to positive infinity and as x goes to negative infinity

Answers

Answer:

y-incercepts:

sinh(x):0, cosh(x)=1

Limits:

positive infinity: sinh(x): infinity, cosh(x): infinity

negative infinity: sinh(x): - infinity, cosh(x): infinity

Step-by-step explanation:

We are given that

[tex]\sinh(x)=\frac{e^{x}-e^{-x}}{2}[/tex]

[tex]\cosh(x)=\frac{e^{x}+e^{-x}}{2}[/tex]

To find out the y-incerpt of a function, we just need to replace x by 0. Recall that [tex]e^{0}=1[/tex]. Then,

[tex]\sinh(0) = \frac{1-1}{2}=0[/tex]

[tex]\cosh(0) = \frac{1+1}{2}=1 [/tex]

For the end behavior, recall the following:

[tex]\lim_{x\to \infty}e^{x} = \infty, \lim_{x\to \infty}e^{-x} = 0[/tex]

[tex]\lim_{x\to -\infty}e^{x} = 0, \lim_{x\to -\infty}e^{-x} = \infty[/tex]

Using the properties of limits, we have that

[tex]\lim_{x\to \infty} \sinh(x) =\frac{1}{2}(\lim_{x\to \infty}e^{x}-\lim_{x\to \infty}e^{-x})=(\infty -0) = \infty[/tex]

[tex]\lim_{x\to \infty} \cosh(x) =\frac{1}{2}(\lim_{x\to \infty}e^{x}+\lim_{x\to \infty}e^{-x}) =(\infty -0)= \infty[/tex]

[tex]\lim_{x\to -\infty} \sinh(x) =\frac{1}{2}(\lim_{x\to -\infty}e^{x}-\lim_{x\to -\infty}e^{-x}) = (0-\infty)=-\infty[/tex]

[tex]\lim_{x\to -\infty} \cosh(x) =\frac{1}{2}(\lim_{x\to -\infty}e^{x}+\lim_{x\to -\infty}e^{-x}) =(0+\infty)= \infty[/tex]

Question 2) A 7-pack of scented candles costs $6.51. What is the unit price?
$45.57
$0.93
$1.07
$0.49

Answers

Answer:

$0.93

Step-by-step explanation:

6.51 / 7 = 0.93

Suppose a classroom teacher wants to measure whether offering candy as a reward will increase the number of times that a student raises his/her hand to answer a question in class. A study yields the following data.Row C1 C21 9 122 7 83 15 144 10 115 8 7If column 1 is the number of times that a student raised their hand to answer a question before the candy reward was implemented, and column 2 is the number of times that the same students raised their hands to answer questions after the candy reward was implemented, which of the following is the appropriate inference method to analyze these data?A) Inference for regressionB) Two independent samples C) Matched pairs

Answers

Answer:

C) Matched pairs

Step-by-step explanation:

Matched samples (also called matched pairs, paired samples or dependent samples) is a type of sampling that involves pairing participants that share every characteristic except for the one under study. The paired participants could be same individuals studied at different time such as:

The study of same participants before and after an interference. The study of the same participants at two different interference.

50 POINTS
Amber has 12n + 50 pieces of candy, her brother has 8n - 26 pieces. How many more pieces of candy does Amber have than her brother?

Answers

Answer:

i think is 64

Step-by-step explanation:

What’s the correct answer for this?

Answers

Answer:

its 7.5

Step-by-step explanation: subscribe when i have channel set

Answer:

D. = 8.1

Step-by-step explanation:

In the attached file

A bicycle club logged 9,860 miles. If the
29 members of the club each rode the
same number of miles, how many miles
did each member ride?

Answers

Answer:

[tex]340[/tex] miles,

Step-by-step explanation:

To find out how many miles each person rode, divide the total number by how many people there were.

[tex]9860 / 29 = 340[/tex]

Each person rode [tex]340[/tex] miles.

Identify whether each of the following statements is more appropriate as a null hypothesis or an alternative hypothesis. Hypothesis: The number of hours that grade-school children spend doing homework predicts their future success on standardized tests. Hypothesis: King cheetahs on average run the same speed as standard spotted cheetahs. Hypothesis: The mean length of African elephant tusks has changed over the last 100 years. Hypothesis: The risk of facial clefts is equal for babies born to mothers who take folic acid supplements compared with those born to mothers who do not. Hypothesis: Caffeine intake during pregnancy affects mean birth weight.

Answers

Answer:

(1) Alternate Hypothesis.

(2) Null Hypothesis.

(3) Alternate Hypothesis.

(4) Null Hypothesis.

(5) Alternate Hypothesis.

Step-by-step explanation:

A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.  

It is a hypothesis of no difference.

It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.

Whereas, the alternate hypothesis is the contradicting statement to the null hypothesis.

The alternate hypothesis describes direction of the hypothesis test, i.e. if the test is left tailed, right tailed or two tailed.

It is also known as the research hypothesis and is denoted by H.

(1)

The hypothesis statement is:

"The number of hours that grade-school children spend doing homework predicts their future success on standardized tests."

According to the hypothesis statement, we known that the test to be performed is for the relationship between the number of hours that grade-school children spend doing homework and their future success on standardized tests.

So, the null hypothesis here will be that there is no relation between the two variables, or the number of hours that grade-school children spend doing homework does not predicts their future success on standardized tests.

Thus, the provided statement is a Alternate hypothesis.

(2)

The hypothesis statement is:

"King cheetahs on average run the same speed as standard spotted cheetahs."

According to the hypothesis statement, we known that the test to be performed is for the difference between the mean running speed of king cheetahs and spotted cheetahs.

The statement provided is a statement of no difference, i.e. there is no difference between the mean running speed of king cheetahs and spotted cheetahs.

Thus, the provided statement is a Null hypothesis.

(3)

The hypothesis statement is:

"The mean length of African elephant tusks has changed over the last 100 years."

According to the hypothesis statement, we known that the test to be performed is for the significance of single mean.

The null hypothesis here would be there is no change in the mean length of African elephant tusks over the last 100 years.

Thus, the provided statement is a Alternate hypothesis.

(4)

The hypothesis statement is:

"The risk of facial clefts is equal for babies born to mothers who take folic acid supplements compared with those born to mothers who do not."

According to the hypothesis statement, we known that the test to be performed is for the difference between the proportion of risk of facial clefts for babies born to mothers who take folic acid supplements and with those born to mothers who do not.

The null hypothesis here would be that there is no difference between the two risk proportions.

Thus, the provided statement is a Null hypothesis.

(5)

The hypothesis statement is:

"Caffeine intake during pregnancy affects mean birth weight."

According to the hypothesis statement, we known that the test to be performed is for the significance of single mean.

The null hypothesis of this test will be that the mean birth weight is not affected by the caffeine intake during pregnancy.

Thus, the provided statement is a Alternate hypothesis.

What’s the correct answer for this?

Answers

Answer:

D.

Step-by-step explanation:

In the attached file

Help? Question is above. 12 points

Answers

Answer:

Step-by-step explanation:

Q5) 4/9 is 0.4 recurring not just “0.4”

Q6) 6 and 7

Q7) 5.385

−2z+10+7z=16z+7
How many solutions does the following equation have?

Answers

-2z+10+7z = 16z+7

Simplify the left side:

5z+10 = 16z +7

Subtract 5z from both sides:

10 = 11z + 7

Subtract 7 from both sides:

3 = 11z

Divide both sides by 11

Z = 3/11

There is only one solution, which is z= 3/11

Steps to solve:

−2z + 10 + 7z = 16z + 7

~Combine like terms

(-2z + 7z) + 10 = 16z + 7

~Simplify

5z + 10 = 16z + 7

~Subtract 16z to both sides

5z - 16z + 10 = 16z - 16z + 7

~Simplify

-11z + 10 = 7

~Subtract 10 to both sides

-11z + 10 - 10 = 7 - 10

~Simplify

-11z = -3

~Divide -11 to both sides

-11z/-11 = -3/-11

~Simplify

z = 3/11

Best of Luck!

An online store furniture sells chairs for $200 each and tables for $500 each.

Answers

Answer: what is the question?

Step-by-step explanation:

What is the approximate height of the cylinder ? Use 3.14 for pi and if necessary round to the nearest tenth. V= 3.14 ft 3.

Answers

Answer:

So the value of h and r are both 1 inch

Step-by-step explanation:

Volume of a cylinder = πr²h

Volume of the cylinder = 3.14 ft³

And π = 3.14

Dividingthrough by π

r²h = ft³

So the possible out come of r and h is only one because r² must be equal to one and the product of the two must be equal to one.

So the value of h and r are both 1 inch

Answer:3 ft

Step-by-step explanation:

The graph shows a line and two similar triangles. On a coordinate plane, a line goes through (0, 0) and (8, 2). A small triangle has a rise of 1 and run of 4, and a larger triangle has a rise of 2 and run of 8. Which expression finds the equation of the line? StartFraction y Over x EndFraction = one-fourth StartFraction y Over 4 EndFraction = StartFraction x Over 1 EndFraction StartFraction y Over x EndFraction = StartFraction 4 Over 1 EndFraction StartFraction y Over 1 EndFraction = StartFraction 4 Over x EndFraction

Answers

Answer:

  [tex]\dfrac{y}{x}=\dfrac{1}{4}[/tex]

Step-by-step explanation:

When the line goes through the origin (0, 0), we can say that y is proportional to x. Then the ratio of y (the vertical measure) to x (the horizontal measure) is the same as the ratio of "rise" (the vertical change) to "run" (the horizontal change).

  y/x = rise/run = 1/4

The equation of the line is ...

  y/x = 1/4

Answer:

Th answer is C

Step-by-step explanation:

The power goes out as Sandra is trying to get dressed. If she has 1 white T-shirts and 19 colored T-shirts in her drawer, is it likely that she will pick a colored T-shirt in the dark? What is the probability of Sandra picking a colored T-shirt? Complete the explanation to explain your answers. Enter the probability as a simplified fraction.

Answers

Answer:

yes it is likely. the chances of her getting a colored shirt is 95% or 19/20

The rental of the ice is $75, plus $3 per skater. Write an expression for the cost in dollars for n skaters.

Answers

The equation would be F(x)=3x+75

find the perimeter a book had length of 9 inches and a width of 9 inches. what is the perimeter of the book ?

Answers

Answer:

36 inches

Step-by-step explanation:

You find perimeter by adding all the sides together. It seems to be a square book as the length and width are the same. So 9+9+9+9 or 9x4=36 inches.

100 POINTS PLEASE HELP IM BEGGING U I NEED TO PASS (summer school)

Answers

Answer:

choice 3 3√7

Step-by-step explanation:

Answer:

3√7.... that the answer

the table below shows the heights of several books. Jean stacks a dictionary on top of her novel. how high is the stack of the two books.

table
novel: 3/4
dictionary:4 1/2

A. between 4 1/2 and 5 inches
B between 5 1/2 and 6 inches
C. between 5 and 5 1/2 inches

FIRST TO ANSWER wILL BE MARKED BRAINLEST AND WILL GET 5 STARS

Answers

Answer:between 5 and 5 1/2 inches

Step-by-step explanation:

what the square root of 280​

Answers

Answer:

2√70

Step-by-step explanation:

√280

Simplify:

Take out 4

2√70

Answer:

16.7332005307

Step-by-step explanation:

Rewrite  280  as  2 ^(2) ⋅ 70 .

Factor  4  out of  280 .

√ 4 ( 70 )

Rewrite  4  as  2^(2) .

√ 2 ^(2 )⋅ 70

Pull terms out from under the radical.

2√ 70

The result can be shown in multiple forms.

Exact Form:

2 √ 70

Decimal Form:

16.73320053....

Pump A can fill a tank in 8 hours. Pump B can fill the tank in 6 hours. How long will it

take to fill the tank using both pumps? Round answers to the nearest tenth if

necessary.

Answers

Answer: 1.3 hours

Step-by-step explanation: I believe it’s 1.3 hours since Pump A can fill a tank in 8 hours, and Pump B can fill a tank in 6 hours, then you divide 8 and 6 which is about 1.333.

Answer:

3.43 hours

Step-by-step explanation:

For every hour, Pump A can fill 1/8 tank and pump B can fill 1/6 tank.

For every hour, both pump A and pump B can fill:

1/8 + 1/6 = 14/48 = 7/24 (tank)

It will take: 1 : 7/24 = 24/7 ≈ 3.43 (hours)

What are two ratios equivalent to 5/12?

Answers

Answer:

10/24 15/36

Step-by-step explanation:

you can just multiply each one by the same number

Answer:

5:12, 10:24

Step-by-step explanation:

You can convert fractions into ratios with x/y ⇒x:y

5/12 = 5:12

5/12 x 2 = 10/24

10/24 = 10:24

someone reported my answer -_-

Marc and Michelle are married and earned salaries this year of $64,000 and $12,000, respectively. In addition to their salaries, they received interest of $350 from municipal bonds and $500 from corporate bonds. Marc contributed $2,500 to an individual retirement account, and Marc paid alimony to a prior spouse in the amount of $1,500. Marc and Michelle have a 10-year-old son, Matthew, who lived with them throughout the entire year. Thus, Marc and Michelle are allowed to claim a $2,000 child tax credit for Matthew. Marc and Michelle paid $6,000 of expenditures that qualify as itemized deductions and they had a total of $3,500 in federal income taxes withheld from their paychecks during the course of the year. What is Marc and Michelle's adjusted gross income?

Answers

Answer:

The total amount of deductions Marc and Michelle are going to get is $24750.  

The taxable income of Marc and Michelle is $47750.

Further Explanation:  

Income Tax: It is the additional charge on an individual’s income which he/she needs to pay to the government. The taxable income is calculated by adding all the incomes and deducting all the deductions which an individual can claim on his/her income.  

Compute the total amount of deductions available for Marc and Michelle:  

Total Deduction Available

= Higher of Standard Deduction for MJF and Itemized Deduction + Personal and Dependency  Exemptions  

= Higher of $12600 and $6000 + $12150 ($4050×3)  

= $12600 + $12150  

=$24750.  

Therefore, the total deductions available to Marc and Michelle are $24750.

Gross Income of Marc and Michelle

= Salary of Marc + Salary of Michelle + Interest Earned on Corporate Bonds  

= $64000 + $12000 + 500  

= $76500.  

Total Taxable Income of Marc and Michelle

= Gross Income – Qualified Moving Expenses – Alimony Paid – Total Deductions  

= $76500 - $2500 - $1500 - $$24750  

= $47750.  

Therefore, the total taxable income of Marc and Michelle is $47750.

Learn More:  

1.      Learn more about the tax on the profit from selling the fixed assets  

brainly.com/question/2617534  

2.      Learn more about the personal tax  

brainly.com/question/1762937  

3.      Learn more about the role of money  

brainly.com/question/12984919  

Answer details:  

Grade: Senior School  

Subject: Taxation  

Chapter: Income Tax  

Keywords: Taxable income, Marc and Michelle, Deductions, salary income, earned, corporate bond interest, interest on municipal bond, standard deductions, US tax brackets.

happy to help ya :)

What is The true solution to In 20 +in 5=2in x?

Answers

Answer:

  x = 10

Step-by-step explanation:

Combining the logarithms, you have ...

 ln(20·5) = ln(x²)

  100 = x² . . . . . take the antilogs

  10 = x . . . . . . . take the positive square root

_____

Alternate solution

  ln(2·2·5) +ln(5) = 2·ln(x) . . . . . . . factor 20

  2ln(2) +ln(5) +ln(5) = 2·ln(x) . . . . rearrange ln(20)

  ln(2) +ln(5) = ln(x) . . . . . . . . . . . . divide by 2

  ln(10) = ln(x) . . . . . . . . . . . . . . . . combine logs on the left

  10 = x

_____

These solutions make use of the rules of logarithms ...

  ln(ab) = ln(a) +ln(b)

  ln(a²) = 2·ln(a) . . . . . same as the first rule for a=b

Factor x3 ‒ 11x2 ‒ 7x + 77 by grouping. What is the resulting expression?


a

(x2 ‒ 7)(x ‒ 11)


b

(x2 ‒ 7)(x + 11)


c

(x2 ‒ 11)(x + 7)


d

(x2 ‒ 11)(x ‒ 7)

Answers

Answer:

A. [tex](x^{2}-7)\cdot (x-11)[/tex]

Step-by-step explanation:

The third order polynomial is factored herein:

[tex]x^{2}\cdot (x-11) - 7\cdot (x-11)[/tex]

[tex](x^{2}-7)\cdot (x-11)[/tex]

Which represents answer A.

If f(x)=9x+2, for what value of x is the value of the function 29?

Answers

Answer:

The answer is 3.

Step-by-step explanation:

In oder to find the value of x you have to let f(x) = 29 :

[tex]f(x) = 9x + 2[/tex]

Let f(x) = 29

[tex]9x + 2 = 29[/tex]

Next, you have to solve x by substracting 2 and divide 9 to both sides :

[tex]9x + 2 = 29[/tex]

[tex]9x + 2 - 2 = 29 - 2[/tex]

[tex]9x = 27[/tex]

[tex]9x \div 9 = 27 \div 9[/tex]

[tex]x = 3[/tex]

Answer:

Answer shown below.

Step-by-step explanation:

For 29;

It means f(x)= 9x + 2 =29

Therefore; 9x =29-2=27

9x = 27

X=27/9

x=3

Someone please help me

Answers

Answer:

3/19

Step-by-step explanation:

Answer:

im havijn trouble 2Step-by-step explanation:

idkmsorry

Determine the number of real solutions for each system of equations.

Answers

Answer:

1+1=2

Step-by-step explanation:

Which of the following are considered income?

Select all that apply.

student loan interest
wages
credit card interest
allowance

Answers

Answer:

Wages

Step-by-step explanation:

Answer:

2. Wages

4. Allowance

Step-by-step explanation:

very simple question I wish I saw this earlier so I could help. Can I please get brainliest.

尺蛾翅蛾。(thank you.)

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In due time, specifications came through, for a tough, fast, comfortable vehicle, mounting a camper top a little house with double bed, a four-burner stove, a heater, refrigerator and lights operating on butane, a chemical toilet, closet space, storage space, windows screened against insects exactly what I wanted.What is the purpose of the descriptive detail in this passage from Travels with Charley?It shows that the author has a lot of money to buy a fancy camper.It shows that the author is a very fussy person.It shows how the camper meets all the authors travel needs.It shows that the author is a good designer. With age, somatic cells are thought to accumulate genomic "scars" as a result of the inaccurate repair of double-strand breaks by nonhomologous end-joining (NHEI). Estimates based on the frequency of breaks in primary human fibroblasts suggest that by age 70 each human somatic cell may carry some 2000 NHEl-induced mutations due to inaccurate repair. 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Thanks are helping A dispositional attribution is to ________ as a situational attribution is to ________. a politically liberal; politically conservative b introversion; extraversion c personality traits; assigned roles d high ability; low motivation e normative influence; informational influence Read the excerpt from the story of my life by helen keller Solve for x:[tex]x-2(x-\frac{3}{2}x)=2(4-x)+10[/tex] A line has a slope of 3/7. What is the slope of any line parallel to this line?a) -7/3 b) 0c) 3/7d) 7/3 QUICK HELP PLS! Q15: A large city has 6 libraries. Each library has at least 1 computer. The median number of computers is 12. The difference between the maximum number of computers and the minimum number of computers is 35. Which statement are true about the number of computers in these libraries? Select each correct answer. A There must be 3 libraries with 12 computers. B A library could have less than 12 computers. C A library could have more than 50 computers. D All libraries must have less than 35 computers. E At least 1 library does bot have 12 computers. Which statements are true?Select each correct answer.All squares are rhombuses.All parallelograms are quadrilaterals.All rectangles are squares.All rhombuses are rectangles. can someone give me an analysis about a view from the Empire State Building by Helen Keller?? Please help me Sue's mom, Mrs. Delley, is designing a plan for a new city that will be built on land not settled before in a western state. Sue wants to give her mom some input but wants to have her ideas seriously considered. You tell Sue that businesses and governments are more likely to consider ideas that are written down. Help Sue by drafting a letter stating her ideas for location and placement of the three main types of zoning in a city or town. Include good reasoning and logic in your letter. The diagram shows 2 different shapes ...................................................................................................................Thanks in advance The figure is a square. Its diagonals meet to form four rightangles. What is the approximate value of x?O 2.8 unitsO 3.3 unitsO 4.0 unitsO 5.7 units g Only something with no mass (such as light) can move at the speed of light. b. Theoretically, a particle with mass can only move faster than the speed of light if given infinite energy. c. When in a medium (such as water) light will move less than c, and observers in different inertial frames can observe that light moving at different speeds. d. Theoretically, a particle with mass can only reach the speed of light if given infinite energy. e. Choices a), c), d) are correct. If something is easy to sell and turn into money, it isA. FixedB. ReceivableC. llliquidD. LiquidPlease select the best answer from the choices provided