URGENT!!!!!! A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame? REPLY IN COMMENTS PLEASE IM GLITCHING AND CANT SEE ANSWERS

Answers

Answer 1

Answer:

the perimeter of the square is just "(5+2x)(2)+(7+2x)(2)

Step-by-step explanation:

Answer 2

Answer:

2 × 10 + 2 × 14

Step-by-step explanation:

The frame is given to have measurements 2 times that of the photograph's measurements. We also know that the photograph is given by dimensions being 5 inch by 7 inch. Therefore the measurements of the frame should be 5 [tex]*[/tex] 2, which = 10 inches, by 7 [tex]*[/tex] 2 = 14 inches.

So the dimensions of the frame are 10 inch × 14 inch. As the frame is present as a rectangle, the perimeter is given by two times both dimensions together. That would be represented by the expression " 2 × 10 inch + 2 × 14 inch. " In other words you can say that the expression is 2 × 10 + 2 × 14 - the expression that represents the perimeter of the frame.


Related Questions

simplify (3+3 / x(x+1) )(x-3 / x(x-1) )

Answers

Answer:

I think it is [tex]\frac{6x-18}{x^{4} }[/tex]

Step-by-step explanation:

Help with 18 - 22
18 4 x 1 =
— —
7 2

A. 8

7

B. 4

14

C. 28

2

19. 15 X 2 =
— —
2 20

A. 4

300

B. 30

40

C. 30

4

20. 3 x 7 =
— —
6 8

A. 18

56

B. 24

42

C. 21

48

21. 9 x 1 =
— —
10 2

A. 9

20

B. 18

10

C. 8

18

22. 3 x 2 =
— —
6 4

A. 6

24

B. 18

8

C. 8

18

Answers

Answer:

18. b. 4/14

19. b. 30/40

20. c. 21/48

21. a. 9/20

22. a. 6/24

Step-by-step explanation:

So in these questions all we do is multiply the fractions.

18)

[tex]\frac{4}{7} * \frac{1}{2}[/tex]

4*1 = 4

7*2 = 14

b. 4/14

19)

[tex]\frac{15}{2}*\frac{2}{20}[/tex]

15*2 = 30

2*20 = 40

b. 30/40

20)

[tex]\frac{3}{6}*\frac{7}{8}[/tex]

3*7 = 21

6*8 = 48

c. 21/48

21)

[tex]\frac{9}{10}*\frac{1}{2}[/tex]

9*1 = 9

10*2 = 20

a. 9/20

22)

[tex]\frac{3}{6}*\frac{2}{4}[/tex]

3*2 = 6

6*4=24

a. 6/24

Hope this helps :)

What does the symbol in the image on number 39 mean

Answers

Answer:

It means direct sum.

Step-by-step explanation:

94. A tin of peas & carrots and two mangoes weighing 300 grams each are placed on one
side of a scale. To balance the scale, 4 tins of condensed milk each weighing 250g are
placed on the other side. Determine the mass of the peas & carrots.​

Answers

Answer:

  400 g

Step-by-step explanation:

Let p represent the mass of the peas & carrots. The scale is balanced when the mass on one side is equal to the mass on the other side.

  p + 2(300 g) = 4(250 g)

  p = 1000 g -600 g . . . . . subtract 600 g

  p = 400 g

The mass of the peas & carrots is 400 grams.

Find the 50th term of the following arithmetic sequence.
6, 13, 20, 27, ...

Answers

Answer:

349

Step-by-step explanation:

We know that a₁ (the first term) is 6 and d (the common difference) is 13 - 6 = 7.

Explicit formula: aₙ = a₁ + (n - 1)d = 13 + (n - 1) * 7 = 7n - 1

Therefore, a₅₀ = 7(50) - 1 = 349

A cream is sold in a 34-gram container. The average amount of cream used per application is 1 and two ninths grams. How many applications can be made with the container?

Answers

Answer:

Total cream = 34g

One application = 1 8/9 =(9+8)/9 = 17/9

Total applications = total cream/one application = 34/(17/9) = 34*9/17 = 18 applications

Step-by-step explanation:

TEST ITEMS
Nathan purchased a square sheet of kite paper to make a kite.
The area of the kite paper was 1600cm. While making the kite
he realised that the sheet of kite paper was 4cm short on one
side. What would be the dimensions of kite paper Nathan need
to properly make the kite?​

Answers

Answer:

40 cm by 44 cm

Step-by-step explanation:

A square sheet of paper has area 1600 cm^2.

area = s^2

1600 cm^2 = s^2

s = sqrt(1600 cm^2)

s = 40 cm

The side of the square was 40 cm, so the square measured 40 cm by 40 cm.

One side of 4 cm short, so the paper should have been 40 cm by 44 cm.

Set up a rational equation and then solve the following problems. A positive integer is twice another. The sum of the reciprocals of the two positive integers is 3/14. Find the two integers.

Answers

Answer:

7 and 14

Step-by-step explanation:

let one integer = x

other integer = 2x

sum of reciprocal = 1/x + 1/2x

= 3/2x = 3/14

= x = 7

one no. = 7

other no. = 14

The following table shows the number of innings pitched by each of the Greenbury Goblins' starting pitchers during the Rockbottom Tournament. Pitcher Calvin Thom Shawn Kris Brantley Number of innings pitched 11 1111 12 1212 7 77 3 33 ? ?question mark If the mean of the data set is 8 88 innings, find the number of innings Brantley pitched. innings

Answers

Answer:

The number of innings Brantley pitched is 7.

Step-by-step explanation:

We are given that the table shows the number of innings pitched by each of the Greenbury Goblins' starting pitchers during the Rockbottom Tournament below;

         Pitcher                           Number of innings pitched

          Calvin                                            11

          Thom                                             12

          Shawn                                            7

            Kris                                               3

         Brantley                                           x

Let the number of innings Brantley pitched be 'x'.

The mean of the following data set is given by the following formula;

          Mean = [tex]\frac{\text{Sum of all data values}}{\text{Total number of observations}}[/tex]

                  [tex]8 = \frac{11+12+7+3+x}{5}[/tex]

                 [tex]8\times 5 =33+x[/tex]

                 [tex]40 = 33+x[/tex]

                  x = 40 - 33 = 7

Hence, the number of innings Brantley pitched is 7.

Answer:

7

Step-by-step explanation:

Khan Academy

2a+3a what matche sthis equation

Answers

Answer:

5a

Step-by-step explanation:

Answer:

5a.

Step-by-step explanation:

2a + 3a

= (2 + 3)a

= 5a.

Hope this helps!

Find the y-intercept and x-intercept of the line.
– 3x+9y= 14

Answers

Answer:

[tex]\huge\boxed{x-intercept=-\dfrac{14}{3}=-4\dfrac{2}{3}}\\\boxed{y-intercept=\dfrac{14}{9}=1\dfrac{5}{9}}[/tex]

Step-by-step explanation:

[tex]-3x+9y=14\\\\x-intercept\ \text{for}\ y=0:\\\\-3x+9(0)=14\\-3x+0=14\\-3x=14\qquad\text{divide both sides by (-3)}\\\boxed{x=-\dfrac{14}{3}=-4\dfrac{2}{3}}}[/tex]

[tex]y-intercept\ \text{for}\ x=0:\\\\-3(0)+9y=14\\0+9y=14\\9y=14\qquad\text{divide both sides by 9}\\\boxed{y=\dfrac{14}{9}=1\dfrac{5}{9}}[/tex]

If x is 6, What is X+4

Answers

Answer:

x = 10

Step-by-step explanation:

We know x = 6

asked: x + 4

Plus it in =>

6 + 4

=> 10

A college student completed some courses worth 3 credits and some courses worth 4 credits. The student earned a total of 59 credits after completing 18 courses. How many courses worth 3 credits did the student complete?

Answers

Answer:

They completed 13, 3 credit classes

Step-by-step explanation:

1. Make 2 formulas. In this case: x+y=18

and 3x+4y=59

2. Then multiply x+y=18 by 3 and subtract the two equations.

Find y which is 5 and input into the equations. Then find your answer.

In year 3 it is expected that the total value of clothing sales will reach 32 million if the total value of ASCO sells Remains the Same as year 2what percentage of sales clothing account for in year three

Answers

Answer:

The sales account for year 3 is [tex][\frac{32\ \text{mn}-x\ \text{mn}}{x\ \text{mn}}\times 100\%][/tex].

Step-by-step explanation:

As the sales for year 2 is not provided, assume it is x million.

The total sales in year 3 is, 32 million.

Compute the sales account for year 3 as follows:

[tex]\text{Percentage of sales for year 3}=\frac{\text{Total Sales in year 3}-\text{Total Sales in year 2}}{\text{Total Sales in year 2}}\times 100\%[/tex]

                                              [tex]=\frac{32\ \text{mn}-x\ \text{mn}}{x\ \text{mn}}\times 100\%[/tex]

What is a3 if an=64(12)n−1

Answers

Answer:

[tex]\huge\boxed{a_3=9,216}[/tex]

Step-by-step explanation:

[tex]a_n=64(12)^{n-1}\\\\\text{substitute}\ n=3:\\\\a_3=64(12)^{3-1}=64(12)^2=64(144)=9,216[/tex]

Let y represent the total cost of publishing a book (in dollars). Let x represent the number of copies of the book printed. Suppose that x and y are related by the equation =y+115025x. Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number.

Answers

Answer:

Change in the cost of each book printed = $25

Cost to get started = $1150

Step-by-step explanation:

Equation representing the relation between number of copies of the books (x)  and total cost of publishing a book (y) is,

y = 1150 + 25x

This equation is in the form of a linear equation,

y = mx + b

Where m represents the change in cost of printing each book and y-intercept of the line 'b' represents the cost before any book is printed.

By comparing these equations,

m = 25

Therefore, change in the cost of each book printed = $25

b = 1150

Which represents the cost to get started = $1150

Find the length of AG

Answers

Answer:

[tex]AG=22[/tex]

Step-by-step explanation:

Follow the next steps:

[tex]\frac{A-B}{A-E} =\frac{B-C}{E-F} =\frac{C-D}{F-G} =\frac{A-C}{A-F} =\frac{B-D}{E-G} =\frac{A-D}{A-G}[/tex]

Let:

[tex]\frac{A-B}{A-E} =\frac{B-C}{E-F}\\ \\\frac{4}{A-E} =\frac{5}{10x}\\ \\Solving\hspace{3}for\hspace{3}A-E\\\\A-E=8x[/tex]

Now:

[tex]\frac{C-D}{F-G} =\frac{A-C}{A-F} \\\\\frac{2}{F-G} =\frac{9}{18x} \\\\Solving\hspace{3}for\hspace{3}F-G\\\\F-G=4x[/tex]

Hence:

[tex]A-G=(A-E)+(E-F)+(F-G)=22x[/tex]

Finally:

[tex]\frac{B-D}{E-G} =\frac{A-D}{A-G}\\\\\frac{A-D}{B-D} =\frac{A-G}{E-G}\\[/tex]

[tex]\frac{11}{7} =\frac{22x}{14x} \\\\\frac{11x^{2} }{7} -\frac{11}{7} =0\\\\[/tex]

Hence:

[tex]x=1\\x=-1[/tex]

Since it would be absurd for [tex]x=-1[/tex], the real solution is [tex]x=1[/tex]

Therefore:

[tex]AG=22[/tex]

According to the National Health Statistics Reports, the standard deviation of the weights of all one-year-old baby boys born in the U.S. is 5.3 pounds. A random sample of 360 one-year-old baby boys born in the U.S. had a mean weight of 25.5 pounds.
a) Construct a 90% confidence interval for the mean weight of all one-year-old baby boys in the U.S. Write a sentence that interprets this interval.
b) Should this confidence interval be used to estimate the mean weights of all one-year-old babies in the U.S.? Explain.

Answers

Answer: A) At 90% confidence interval estimate of the population mean

is,( 25.0405 , 25.9595 )

B) YES

Step-by-step explanation:

Given that,

Point estimate = sample mean  Ж = 25.5

Population standard deviation α  = 5.3

Sample size = n =360

At 90% confidence level the z is ,

∝ = 1 - 90% = 1 - 0.90 = 0.1

∝ / 2 = 0.1 / 2 = 0.05  

Z∝/2 = Z0.05 = 1.645 ( WHEN WE USE THE Z TABLE )

Margin of error E = Z∝/2 * ( α/√n)

E = 1.645 * (5.3 / √360 )  = 0.4595

At 90% confidence interval estimate of the population mean

is

Ж - E < ц < Ж + E  

25.5 - 0.4595 <  ц < 25.5 + 0.4595  

25.0405 <  ц < 25.9595  

( 25.0405 , 25.9595 )

At 90% confidence interval estimate of the population mean

is,( 25.0405 , 25.9595 )

B) This confidence interval can be used to estimate the mean weight of all one - year old babies in the US since the mean value of 25.5 falls within the confidence values, we have sufficient evidence to

conclude that the mean weight of all one-year-old boys is 25.5

Prove that a cubic equation x 3 + ax 2 + bx+ c = 0 has 3 roots by finding the roots.

Answers

That's a pretty tall order for Brainly homework.  Let's start with the depressed cubic, which is simpler.

Solve

[tex]y^3 + 3py = 2q[/tex]

We'll put coefficients on the coefficients to avoid fractions down the road.

The key idea is called a split, which let's us turn the cubic equation in to a quadratic.  We split unknown y into two pieces:

[tex]y = s + t[/tex]

Substituting,

[tex](s+t)^3 + 3p(s+t) = 2q[/tex]

Expanding it out,

[tex]s^3+3 s^2 t + 3 s t^2 + t^3 + 3p(s+t) = 2q[/tex]

[tex]s^3+t^3 + 3 s t(s+t) + 3p(s+t) = 2q[/tex]

[tex]s^3+t^3 + 3( s t + p)(s+t) = 2q[/tex]

There a few moves we could make from here. The easiest is probably to try to solve the simultaneous equations:

[tex]s^3+t^3=2q, \qquad st+p=0[/tex]

which would give us a solution to the cubic.

[tex]p=-st[/tex]

[tex]t = -\dfrac p s[/tex]

Substituting,

[tex]s^3 - \dfrac{p^3}{s^3} = 2q[/tex]

[tex](s^3)^2 - 2 q s^3 - p^3 = 0[/tex]

By the quadratic formula (note the shortcut from the even linear term):

[tex]s^3 = q \pm \sqrt{p^3 + q^2}[/tex]

By the symmetry of the problem (we can interchange s and t without changing anything) when s is one solution t is the other:

[tex]s^3 = q + \sqrt{p^3+q^2}[/tex]

[tex]t^3 = q - \sqrt{p^3+q^2}[/tex]

We've arrived at the solution for the depressed cubic:

[tex]y = s+t = \sqrt[3]{q + \sqrt{p^3+q^2}} + \sqrt[3]{ q - \sqrt{p^3+q^2} }[/tex]

This is all three roots of the equation, given by the three cube roots (at least two complex), say for the left radical.  The two cubes aren't really independent, we need their product to be [tex]-p=st[/tex].

That's the three roots of the depressed cubic; let's solve the general cubic by reducing it to the depressed cubic.

[tex]x^3 + ax^2 + bx + c=0[/tex]

We want to eliminate the squared term.  If substitute x = y + k we'll get a 3ky² from the cubic term and ay² from the squared term; we want these to cancel so 3k=-a.

Substitute x = y - a/3

[tex](y - a/3)^3 + a(y - a/3)^2 + b(y - a/3) + c = 0[/tex]

[tex]y^3 - ay^2 + a^2/3 y - a^3/27 + ay^2-2a^2y/3 + a^3/9 + by - ab/3 + c =0[/tex]

[tex]y^3 + (b - a^2/3) y = -(2a^3+9ab) /27 [/tex]

Comparing that to

[tex]y^3 + 3py = 2q[/tex]

we have [tex] p = (3b - a^2) /9, q =-(a^3+9ab)/54 [/tex]

which we can substitute in to the depressed cubic solution and subtract a/3  to get the three roots.  I won't write that out; it's a little ugly.

3) The chance that a salmon jumps up the waterfall to upstream successfully 35%. We have a group of 9 salmon. What is the chance that none of them jump up successfully? What is the chance that all of them reach up-stream? What is the chance that at least 2 of them reach up-stream? What is the chance that at most 1 of them reaches up-stream? Is “at least 1” complement of the event “at most 1”?

Answers

Answer:

(a) P(0,9) = 0.0207

(b) P(2-9,9) = 0.1004

(c) P(0-1,9) = 0.1211

(d) "at least 1" and "at most 1" are not complements of each other because there is an overlap of "1" in both cases.

Step-by-step explanation:

With appropriate assumptions, this can be solved using the binomial distribution.

Probability of success for each trial, p = 35%

Number of trials, n = 9

using formula for x successes out of n trials, each with probability p

P(x,n) = C(n,x) p^x (1-p)^(n-x)

where C(n,x) = n!/(x!(n-x)!)

(a) zero success

n=9

p=0.35

x = 0

P(0,9) = 9!/(0!9!) 0.35^0 * 0.65^9

= 1*1* 0.0207

= 0.0207

(b) 2 or more successes

We need the sum of probabilities of 2,3,4,5,6,7,8,9 successes, which is easier calculated by (1-P(0,9)-P(1,9))

P(1,9) = C(9,1) * p^1 * p^8

= 9 * 0.35 * 0.65^8

= 9 * 0.35 * 0.3186

= 0.1004

Therefore

P(2 to 8, 9)

= 1 - P(0,9) - P(1,9)

= 1 - 0.0207 - 0.1004

= 0.8789

(c) at most 1 success

P(0,9) + P(1,9)

= 0.0207 + 0.1004

= 0.1211

here are the 2 questions in the 2 pics separated lol

Answers

Answer:

60 and 87

Step-by-step explanation:

Question 1: The chance of losing would be 100% - 40% = 60%.

Question 2: Again, we just have to do 100% - 13% = 87%.

Answer:

Below

Step-by-step explanation:

First question:

Jade has a 40% chance of winnig wich could be expressed as 2/5

The chance of losing is the remainning pourcentage from 100%

●100-40 =60%

60% is the chance of losing wich could be expressed as 3/5

The sum of 3/5 and 2/5 is 1 so it's true.

■■■■■■■■■■■■■■■■■■■■■■■■■

Same method for the 2nd question:

The person has a 13 % chance of winning.

The chance of losing is 87%

● 100-13 =87

A magazine provided results from a poll of 2000 adults who were asked to identify their favorite pie. Among the 2000 ​respondents, 11​% chose chocolate​ pie, and the margin of error was given as plus or minus5 percentage points. What values do ModifyingAbove p with caret​, ModifyingAbove q with caret​, ​n, E, and p​ represent? If the confidence level is 95​%, what is the value of alpha​?

Answers

Answer:

[tex]\r p = 0.11[/tex]

[tex]\r q = 0.89[/tex]

n = 2000

[tex]E = \pm 5[/tex]

p - population proportion

[tex]\alpha = 5[/tex]%

Step-by-step explanation:

From the question we are told that  

   The  sample size is  [tex]n = 2000[/tex]

   The  proportion of the population for chocolate pie is  [tex]p_c = 0.11[/tex]

   The  margin of error is  [tex]E = \pm 5[/tex]%  

Now in the question we are asked to provide the meaning of  

       [tex]\r p , \r q , n , E , and\ p[/tex]

Now  [tex]\r p[/tex] is the sample proportion of the population that those  chocolate​ pie as  favorite pie of   which is given from the question as 0.11

Now

         [tex]\r q[/tex] is the sample  proportion of the population that choose other pies apart from chocolate pie as their favorite and it is evaluated as

      [tex]\r q = 1 - \r p[/tex]

      [tex]\r q = 1 - 0.11[/tex]

       [tex]\r q = 0.89[/tex]

       n is the sample size which is given as  n =  2000

       E is the margin of  error which given as  [tex]E = \pm 5[/tex]%

       p is the population proportion

Given that the confidence level is  95 %  then the level of significance is  mathematically evaluated as

        [tex]\alpha =(100 - 95)[/tex]%

        [tex]\alpha =[/tex]5%

   

A rectangular vegetable garden will have a width that is 4 feet less than the length and an area of 140 square feet if x represents the length then the length can be found by solving the equation:
If x represents the length, then the length can be found by solving the equation: x(x-4)=140

Answers

Answer: x(x-4) = 140 This equation can be solve to find the length.

Step-by-step explanation:

If the width of the rectangle will be 4 less than the length and the length is represented by x then we could have the equation   w=x - 4 for the width and the length is just x. And to find the area of a rectangle we multiply the length by the with so multiply x-4 by x  for it to equal 140 because 140 is the area.

x(x-4) = 140   solve for x

[tex]x^{2}[/tex] - 4x = 140   subtract 140 from both sides  

x^2 - 4x - 140 = 0  find a number that the product is 140 and the sum is -4

                                  -14 and 10 works out.

[tex]x^{2}[/tex] - 14x + 10x - 140 = 0  factor by grouping

x(x -14)  10(x-14) = 0     factor out x-14

(x-14) ( x+10) = 0         set them both equal zero.

x-14= 0      or   x+10 = 0

x = 14      or x= -10  

Since -10 can't represent a distance, the answer is 14.

Check.  

In this case the length is 14  and if the width is 4 less than the length then we will subtract 4 from 14.

14- 4 = 10  so the width is 10.

14 * 10 = 140

Iris has 120 songs on her playlist. each week, she downloads 4 new songs

Answers


You can make the equation y=4x+120
This is from the formula y=mx+b
Y is the total amount
M is the rate
X is the time
B is the initial value

The information you provided says
Y is the total amount of songs
M is 4 because 4 songs are being
added each week
X is the number of weeks
B is 120 because Iris already had that
many songs in the beginning

Answer:

120 + 4w

Step-by-step explanation:

I am indeed doing it aswell

Write a short statement that expresses a possible function between the given variables.(price of a DVD player, demand for DVD player)

Answers

Answer:

When the price of DVD player increases, the demand will decrease.

Step-by-step explanation:

The price and demand function have an inverse relationship. When the price of good increases its demand will decrease. This is law of demand. If the price of goods increase to a certain level its demand will start decreasing. The people will start buying lesser good and will consume less. The propensity to consume will decline and less economic goods will be consumed. When the price of DVD player is increased then the demand will decline for DVD players and people will drop the decision to buy the DVD player.

A large study of over 2000 parents and children in Norway found that toddlers who regularly slept less than 10 hours per night or woke frequently (three or more times) at night tended to experience more emotional and behavioral problems when they reached age five. The study involved a large random sample of mothers and children and was conducted over several years. What is the population of interest in this survey

Answers

Answer: Parents and children ( till the age of 5) of Norway

Step-by-step explanation:

The population in a survey is the group of people sharing common features or characteristics as per the researcher point of view.

Here, A large study of over 2000 parents and children in Norway found that toddlers who regularly slept less than 10 hours per night or woke frequently (three or more times) at night tended to experience more emotional and behavioral problems when they reached age five.

Since the study involved a large random sample of mothers and children and was conducted over several years.

So, the population of interest in this survey is "Parents and children ( till the age of 5) of Norway".

Please answer this correctly without making mistakes

Answers

Answer:

1/2

Step-by-step explanation:

There are eight equal pieces. Oliver used four pieces to make toast. Since the total is eight pieces, the fraction he used to make toast is 4/8, which simplifies to 1/2

Answer:

4/8

Step-by-step explanation:

He cut the bread into 8 equal pieces, so the denominator is 8.

He used 4 pieces for making toast.

He saved 4 pieces for later.

Hope this helps ;) ❤❤❤

Need help ASAP! Will give brainliest if you tell me how to do this!

Answers

Answer:

A

Step-by-step explanation:

The syntax is binomcdf(trials, probability, value). There are 100 trials, and the probability is 0.5. binomcdf will return the probability that there is at most n successes. So, in this case we want 45 or less successes, so n is 45. So, the answer is binomcdf(100, 0.5, 45).

Hope this makes sense! Please give brainliest!

Part 1 You will need to measure five different people. Record your measurements on a piece of paper. Using a tape measure or ruler, measure the length (in inches) of a person’s left foot and then measure the length (in inches) of that same person’s forearm (between their wrist and elbow). Refer to the diagrams below. You will have two measurements for each person. (An easy way to measure the length of a foot is to have your subject stand on a piece of paper. Then, trace their foot and measure the outline once they move off the paper.) To measure the forearm, measure inside the arm, between the wrist and the elbow. Part 2 Organize your data and find the rate of change. Create a table of the measurements for your data. Label the forearm measurements as your input and the foot measurements as your output. Select two sets of points and find the rate of change for your data. Describe your results. If you had to express this relation as a verbal statement, how would you describe it? Part 3 Compare rates of change. The equation below can be used to find the length of a foot or forearm when you know one or the other. (length of the foot) = 0.860 • (length of the forearm) + 3.302 If you let y = length of the foot and x = length of the forearm, this equation can be simplified to y = 0.860x + 3.302. Using this equation, how long would the foot of a person be if his forearm was 17 inches long? What is the rate of change of the equation from Part A? Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different? Is the relation in your data a function? Why or why not? Could the equation in Part A represent a function? Why or why not? Explain your answer. For this option you will submit the details from all three parts. Submit your measurements, the table, and description that you created in Parts 1 and 2. Submit your answers to the questions from Part 3. Measurement of forearm (x) 10in. , 15in , 10in, 11in. , 12in. Measurement of left foot (y) 9in. 11in. . 8in. 9 11/16in. 11 1/4in.

Answers

Answer:

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Step-by-step explanation:

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TV advertising agencies face increasing challenges in reaching audience members because viewing TV programs via digital streaming is gaining in popularity. A poll reported that 54% of 2348 American adults surveyed said they have watched digitally streamed TV programming on some type of device.
1) Calculate and interpret a confidence interval at the 99% confidence level for the proportion of all adult Americans who watched streamed programming up to that point in time.
A) We are 99% confident that this interval does not contain the true population proportion.
B) We are 99% confident that this interval contains the true population proportion.
C) We are 99% confident that the true population proportion lies below this interval.
D) We are 99% confident that the true population proportion lies above this interval.
2) What sample size would be required for the width of a 99% CI to be at most 0.03 irrespective of the value of p?

Answers

Answer:

1

 Option B  is the correct answer

2

   [tex]n = 9418[/tex]

Step-by-step explanation:

From the question we are told that

    The  sample size is  [tex]n = 2348[/tex]

    The  sample proportion is  [tex]\r p = 0.54[/tex]

   

Given that the confidence level is  99%  then the level of significance is evaluated as

      [tex]\alpha = 100 - 99[/tex]

      [tex]\alpha = 1[/tex]%

      [tex]\alpha = 0.01[/tex]

Next we obtain the critical values of  [tex]\frac{\alpha }{2}[/tex] from the normal distribution table. The values obtained is  

   [tex]Z_{\frac{\alpha }{2} } = 2.58[/tex]

The reason we are obtaining values for  is because  is the area under the normal distribution curve for both the left and right tail where the 99% interval did not cover while   is the area under the normal distribution curve for just one tail and we need the  value for one tail in order to calculate the confidence interval .

Next is to calculate the margin of error which is mathematically evaluated as  

        [tex]MOE = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{\r p ( 1 - \r p )}{n } }[/tex]

substituting values

        [tex]MOE = 2.58 * \sqrt{ \frac{0 .54( 1 - 0.54 )}{2348 } }[/tex]

        [tex]MOE = 0.0265[/tex]

Now the interval for the 99% confidence level is evaluated as  

     [tex]\r p - MOE < \r p < \r p + MOE[/tex]

substituting values  

    [tex]0.514 < \r p <0.567[/tex]

Looking at the Confidence interval we see that the proportion of  Americans that watched streamed program up to that point in time is between

     51.4%  and 56.7%

Hence we are 99% confident that this interval contains the true population proportion.

The  sample  size that will be required for the width o 99%  Cl  is mathematically  evaluated as

            [tex]n = \frac{4 *[Z_{\frac{\alpha }{2} }]^2 * \r p (1- \r p )}{MOE^2}[/tex]

substituting values

           [tex]n = \frac{4 *2.58^2 * 0.54 (1- 0.54 )}{0.0265^2}[/tex]

          [tex]n = 9418[/tex]

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