Figure ABCD is a parallelogram. Points X and Y are placed so that BX ≅ DY and CD ⊥ XY.

The area of BXYC is 71.5 square units. What is the area of ABCD?

99 square units
110 square units
126 square units
143 square units

Answers

Answer 1

A quadrilateral in which opposite sides are parallel is called a parallelogram. The correct option is D.

What is a parallelogram?

A quadrilateral in which opposite sides are parallel is called a parallelogram. Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

For a parallelogram, the opposite sides are equal and parallel to each other. We can write,

AD ≅ BC

Since BX ≅ DY, therefore, we can write,

AB = CD

AX + XB = DY + YC

XB = DY, cancelling both the sides,

AX = YC.

Also, XY is the common side.

Since all the sides are equal also the angle are equal, therefore, it can be written,

AXDY ≅ CYXB

Given the area of CYXB is 71.5 square units. Therefore,

ABCD = CYXB + AXDY

ABCD = 2(CYXB)

ABCD = 143 square units.

Hence, the correct option is D.

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Figure ABCD Is A Parallelogram. Points X And Y Are Placed So That BX DY And CD XY.The Area Of BXYC Is

Related Questions

It is estimated that recycling 1 ton of paper saves about 17 trees. About how many trees are saved if 8254 ton of paper are recycled

Answers

Answer:

142318 trees

Step-by-step explanation:

8254x17=140318


Kamal sells 240 ice creams for a total of £640
1/3 of the ice creams he sells are large.
The cost of each large ice cream he sells is £3.80
All the other ice creams he sells are small.
He sells each small ice cream for the same cost.
Work out the cost of each small ice cream.

Answers

Answer:

2.10

Step-by-step explanation:

# of large ice creams: 240/3 = 80

# of small ice creams: 240 - 80 = 160

Total large ice cream cost: 80*3.8 = 304

Total small ice cream cost: 640 - 304 = 336

Cost of one small ice cream: 336/160 = 2.1

helppp i need it cmonn

Answers

Answer:

uhhh i think its a carrot

Step-by-step explanation:

A coordinate plane is labeled Street on the x-axis and Avenue on the y-axis. Ping is at point (3, 6) and Ari is at point (21, 18). A line is drawn from Ping to Ari.

Ping lives at the corner of 3rd Street and 6th Avenue. Ari lives at the corner of 21st Street and 18th Avenue. There is a gym Two-thirds the distance from Ping's home to Ari's home.

x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1

y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1

Where is the gym?
9th Street and 10th Avenue
12th Street and 12th Avenue
14th Street and 12th Avenue
15th Street and 14th Avenue

Answers

The place where the gym is located based on the information given about the coordinate plane is D. 15th Street and 14th Avenue

How to illustrate the information?

From the information given, the coordinate plane is labeled Street on the x-axis and Avenue on the y-axis. Ping is at point (3, 6) and Ari is at point (21, 18) and a line is drawn from Ping to Ari.

In this case, the place where the gym is located based on the information given about the coordinate plane is the 15th Street and 14th Avenue.

The graph is attached to illustrate this.

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The Residential Energy Consumption Survey found in 2001 that 47% of American households had internet access. A market survey organization repeated this study in a certain town with 25,000 households, using a simple random sample of 500 households: 239 of the sample households had internet access. Of the 500 sample households, 7 had three or more large-screen TVs. Among the sample households, 121 had no car, 172 had one car, and 207 had two or more cars. Estimate the percentage of households in the town with one or more cars; attach a standard error to the estimate. If this is not possible, explain why not.

Answers

The percentage of households in the town with internet access is estimates as 47.8%, give or take 2.2% or so.

According to statement we have given

239 of the 500 households in the sample had internet access.

So, find sample percentage then

Sample percentage= 500/239 =0.478=47.8%

Thus we estimate the percentage as 47.8%.

The box contains 25,000 tickets of which 47.8% are 1's and the remaining 52.2% tickets are 0's. We will draw 500 tickets from the box.

Number of draws=500

Now, find the SD then

[tex]SD= (Big number - Small number) * \sqrt{Fraction with big number * fraction with small number}[/tex]

Substitute the values then

[tex]SD= (1 - 0) * \sqrt{0.478 *0.522}[/tex]

[tex]SD=0.4995[/tex]

Now find the standard error of sum then

The standard error of the sum is the product of the square root of the number of draws and the standard deviation of the box.

[tex]SE sum =\sqrt{Number of draws} * SD box[/tex]

[tex]SE sum =\sqrt{500} * 0.4995[/tex]

[tex]SE sum =11.16[/tex]

Now find the standard error of percentage then

The standard error of the percentage is the standard error for the sum divided by the sample size.

SE percentage= SE for number/Number of draws ×100%

= 50011.1692×100%

≈0.022×100%

=2.2%

Thus the percentage of households in the town with internet access is estimates as 47.8%, give or take 2.2% or so.

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The vertex of a parabola is at -25 what is its equation

Answers

The equation of the parabola described by means of its vertex in the task content is; y = x² -25.

What is the equation big the parabola?

It follows from the task content that the equation of the the parabola can be determined from.its vertex.

Hence, the equation of the parabola from by virtue by virtue big the vertex given is;

y = (x-0)² -25

Hence, it follows that the equation of the parabola is;

y = x² -25.

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y Ask...
Find the value of x.
5 in
10 in
OA. 5√3 in
OB. 2√41 in
C. 9
OD. 5√5 in

Answers

Answer:

OPTION A [ 53 in ]

- Please see the attached picture for full solution!:)

--------------- HappY LearninG <3 ------------


Mr. Thompson has a 1-meter-square whiteboard. He creates a square with sides on his whiteboard to post a weekly puzzle. How many square meters of whiteboard space does he use for the weekly puzzle?

Answers

Answero

Step-by-step explanation:

i dont know

1 square meter
Due ti the board being 1 meter

Write the product in its simplest form:
c•9c

Answers

i belive it is going to be 9c but i could be wrong
9c^2 probably?
c squared

PLEASE HELP QUICK I WILL MAKE BRAINLIEST: Put the following four numbers in order from least to greatest:

$A.\ 4 \cdot \sqrt{5}\\ B.\ 6 \cdot \sqrt{2}\\ C.\ 5 \cdot \sqrt{3}\\ D.\ 9$

Write your answer as a list of letters, separated by commas. For example, if you believe A is the smallest, B is the next-smallest, C is the next-smallest, and D is the largest, you would write A, B, C, D.

Answers

Answer:  D, B, C, A

Step-by-step explanation:

A: [tex]4^5 = 1024[/tex]

B: [tex]6^2=36[/tex]

C: [tex]5^3=125[/tex]

D: [tex]9[/tex]

D, B, C, A

What can be concluded from the statement ∠1 + ∠2 = 90°?

Answers

<1+<2=90°

The sum of measures of angles A and B is 90°

Hence the angles are complementary

As complementary angles have sum 90°

People leaving a movie were randomly asked their age. The results are show below. What graph would best display the data, if you were only concerned about the shape and spread of the data, and not specific data? Select all that apply.

7, 37, 45, 78, 24, 97, 12, 17, 43, 56, 69, 63, 76, 23, 50, 38, 45, 57, 4

dot plot
box plot
stem-and-leaf plot
histogram

Answers

The graphs to use are box plots, histogram and dot plots

How to determine the graph?

From the question, the most important factors are:

Shape of distributionSpread of data

Using the box plots, histogram and dot plots, one would see the shape and the spread.

While the stem and leaf plot would show specific data values

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There are 8 kids at a birthday party. If there are 5 girls and 3 boys at a party, what fraction of the kids are girls?

Answers

Answer:

5/8 fraction of kids are girls

Can someone help me out on this problem and show work

Answers

ANSWER 81.92

200/250 = 4/5 = 0.8

250
200 | 250 x 0.8 = 200
160 | 200 x 0.8 = 160
128 | 160 x 0.8 = 128
102.4 | 128 x 0.8 = 102.4
81.92 | 102.4 x 0.8 = 81.92

HOPES THIS HELPS! PLEASE MARK ME BRAINLIEST PLS

Which multiplication expression is equivalent to
x+8 2x+16
x² 2x² ?
O
O

X + 8
x + 8
32
X + 8
2

DONE


2x²
2x + 16
2x + 16
2x²
2x²
2x + 16

Answers

Answer:

x=0.5×1±√33

Step-by-step explanation:

x+8=x² and 2(x+8)=2x²

x²-x-8=0

The population of classroom grows x squared in one year. the current population of classroom is 12. in one year. one the las day of the year, each person in the classroom eats 3 slices of pizza. if an entire pizza cost $26.60, how much money does a class spend per year on pizza. a pizza has 8 slices. (sorry if this makes no sense teacher made up on the spot)

Answers

The class spends $1436.4 per year on pizza. Since the population grows x² in one year, the strength of the class on the last day of the year is 12² = 144.

How to find the total population of the class in one year?

It is given that,

The current population of the classroom is 12. I.e., x = 12

So, at the end of the year, the population of the class = x²

⇒ 12² = 144

Thus, the population of the classroom on the end day of the year is 144.

How many slices of pizza are required for this population in the class?

It is given that,

On the last day of the year, each person in the classroom eats 3 slices of pizza.

So, 144 persons eat,

144 × 3 = 432 slices of pizza

Thus, 432 slices of pizza are required for the given population.

How much money does a class spend per year on pizza?

It is given that,

A single pizza has 8 slices and every single pizza costs $26.60.

Since there are 432 slices, then the number of pizzas

= 432/8

= 54 pizzas

Then, the cost of 54 pizza's = 54 × $26.60 = $1436.4

Therefore, $1436.4 was spent on pizza per year.

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If you don’t know the answer don’t answer it pls help me out if you do tho!

Answers

Answer: x = 8

Step-by-step explanation:

Hello again XD.

This is a coordinate plane and all the angles on a coordinate plane add up to 360°

Divide 360 by 4 to get the measurement of the section we are working in.

360/4 = 90°

This means it is complementary and complementary angles state that both separate angles added together = 90°

therefore,

6x + 2 + 40 = 90

combine like terms:

6x + 42 = 90

now subtract 42 from both sides

6x = 48

divide 6 from both sides to get:

x = 8

Let me know if you have any more questions you want answered and I hope I explained this well.

anybody know the solution?

Answers

The reciprocal relationship of the graph is graph (a)

How to determine the reciprocal relationship?

The reciprocal relationship implies that:

The x and the y axes are swapped.

When the x and the y axes are swapped, the value on both axes swap their positions

As per the given graph, the reciprocal relationship is represented by graph (a)

This is shown in the attached graph

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The school that Natalie goes to is selling tickets to a play. On the first day of ticket sales the school sold 14 adult tickets and 3 student tickets for a total of $195. The school took in $306 on the second day by selling 15 adult tickets and 14 student tickets. What is the price each of one adult ticket and one student ticket

Answers

The price of an adult ticket is 12$.

And the price of a student ticket is 9$.

Let ‘x’ be the price of an adult ticket.

Let ‘y’ be the price of a student ticket.

On the first day of ticket sales, the school sold 14 adult tickets and 3 student tickets for a total of $195 i.e

14x + 3y = 195$    i)

15x + 14y = 306$   ii)

from equation i) we get the value of y,

y = (195 - 14x)/3

put this value of y in equation ii) we get,

= 15x +14{(195 - 14x)/3} = 306

= (45x +2730 - 196x)/3 = 306

= (45x +2730 - 196x) = 918

= -151x = -1812

= x =12$

then value of y we get ,

put value of x in y,

y = (195 - 14*12)/3

= 27/3

= 9$

hence, the price of an adult ticket is 12$.

And the price of a student ticket is 9$.

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Tell whether you can reach each type of conclusion below using coordinate
methods. Give a reason for each answer.
6. AB = CD
9. AB bisects CD.
12. LA is a right angle.
15. Quadrilateral ABCD is a rhombus.
8. ABL CD
11. LA LB
14. AABC is isosceles.
16. AB and CD bisect each other.
7. AB || CD
10. AB bisects LCAD.
13. AB + BC = AC

Answers

The answer to all of them is yes.

6) The lengths of AB and CD using the distance formula. (because congruent segments have equal length)

7) The slopes of AB and CD are equal using the slope formula. (because parallel segments have equal slopesL

8) The slopes of AB and CD are negative reciprocals using the slope formula. (because perpendicular lines have slopes that are negative reciprocals)

9) The two segments that CD is split into by AB have equal length using the distance formula. (because a segment bisector splits a segment into two congruent segments, and congruent segments have equal length)

10) Angles CAB and DAB have the same measure using the angle between two lines formula. (Because an angle bisector splits an angle into two congruent angles, and congruent angles have equal measure)

11) Angles A and B have the same measure using the angle between two lines formula. (Because an angle bisector splits an angle into two congruent angles, and congruent angles have equal measure)

12) The lines that form angle A have slopes that are negative reciprocals using the slope formula. (because perpendicular lines have slopes that are negative reciprocals, and perpendicular lines form right angles)

13) The lengths of AB and AC combined equal the length of AC using the distance formula.

14) Two sides of triangle ABC have equal length using the distance formula.

15) All four sides of ABCD have the same length using the distance formula.

16) Letting AB and CD meet at E, the distance formula says AE=BE and CE=DE.

You run around the perimeter of a baseball field at a rate of at most 8 feet per second. Which of the following are possible amounts of time that it takes you to run around the baseball field?

Answers

The possible amount of time is 90 seconds that it takes you to run around the baseball field

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

The options are missing.

The options are:

90 seconds100 seconds110 seconds120 seconds

We have a radius of the circle is:

r = 150 ft

The perimeter of the circle = 2πr = 2π(150) = 300π ft

The running path distance = 40% of the perimeter of the circle

= 40% of 300π

= 120π ft

Assume the tape length is 50 m

Total distance = 200 + 200 + 120π - 50 = 726.99

The rate is 8 feet per second.

Time = distance/rate = 726.99/8 = 90.87 ≈ 90 seconds

Thus, the possible amount of time is 90 seconds that it takes you to run around the baseball field

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On a coordinate plane, triangle K J L is shown. Line segment G H goes from side J K to J L. Point K is at (0, 0), point G is at (e, f), point J is at (2 e, 2 f), point H is at (e + d, f), and point L is at (2 d, 0).

To prove part of the triangle midsegment theorem using the diagram, which statement must be shown?
The length of JK equals the length of JL.
The length of GH is half the length of KL.
The slope of JK equals the slope of JL.
The slope of GH is half the slope of KL.

Answers

Based on the triangle midpoint theorem, the statement which must be shown is that: B. the length of GH is half the length of KL.

What is triangle midpoint theorem?

Triangle midpoint theorem states that the line segment which joins the midpoints of two (2) sides of a triangle is parallel to the third side, and it's congruent to one-half of the third side.

Based on the triangle midpoint theorem, we can infer and logically deduce that the statement which must be shown is that the length of GH is half the length of KL.

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Answer:  B. The length of GH is half the length of KL.

Step-by-step explanation:   TRUST ME!  The answer is correct on Edge.  :)

A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.09. In a sample of 260 graduates, 20 students have a GPA of 3.00 or below. The value of the test statistic and its associated p-value are __________.

Answers

The test static value is 1.44 and its associated p-value is 0.1335.

Given that the problem deals with the concept of test for single proportion. The parameter of the interest is the population proportion of graduates with GPA of 3.00 or below is less than 0.09.

Let the population proportion be p=0.09.

Let the number of graduates in a sample be n=260.

Let the number of students have a GPA of 3.00 or below be x=20.

Based on the known data, the null and alternative hypothesis are,

H₀:p≥0.09

H₁:p<0.09

The sample proportion of students have a GPA of 3.00 or below is,

[tex]\begin{aligned}\hat{p}&=\frac{x}{n}\\ &=\frac{20}{260}\\ &=0.07\end[/tex]

Under the null hypothesis, the test static value is,

[tex]\begin{aligned}z&=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}\\ &=\frac{0.07-0.09}{\sqrt{\frac{0.09(1-0.09)}{260}}}\\ &=\frac{-0.02}{0.018}\\ &=-1.11\end[/tex]

The p-value for the left-tailed test is

p-value=p(z<-1.11)

p-value=0.1335

Hence, the value of the test statistic and its associated p-value for the proportion of graduates with a GPA of 3.00 or below is less than 0.09. are 1.44 and 0.1335.

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What is the answer to this

Answers

Answer:

i need help

Step-by-step explanation:

Which equation represents the function graphed on the coordinate plane? g(x) = |x 1| 3 g(x) = |x 3| – 1 g(x) = |x – 1| 3 g(x) = |x 3| 1

Answers

The equation that represents the graph is g(x) = |x – 1| + 3. Then the correct option is C.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The graph is shown.

In the graph, the mode function is given.

If the subtracts 1 from the variable then the function gets shifted toward the right and if 3 is added to the function then it gets shifted upwards.

Then the correct equation that represents the graph is g(x) = |x – 1| + 3.

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Answer:

Step-by-step explanation:

The equation that represents the graph is g(x) = |x – 1| + 3. Then the correct option is C.

What is a function?

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The graph is shown.

In the graph, the mode function is given.

If the subtract 1 from the variable then the function gets shifted toward the right and if 3 is added to the function then it gets shifted upwards.

Then the correct equation that represents the graph is g(x) = |x – 1| + 3.

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i need help fast please​

Answers

Answer:

D

Step-by-step explanation:

Triangle PQR is scaled 3x the size of Triangle LMN. This means that if length LM is 3cm, just multiply it by 3 to get length PQ, 9cm

The problem: take two solutions and plug them into the original equation. To check for extraneous solutions.

Answers

Answer: х=3.

Step-by-step explanation:

А point is missing here: determining the allowable values of x for this equation.

1. Consider the right side of the equation:

The root expression 2x+3 must be greater than or equal to 0.

2x+3≥0

2x≥-3\ |:2

x≥-1,5.

2. Consider the left side of the equation:

the left side of the equation must be greater than or equal to 0.

x≥0.

We get x≥0.         ⇒

х=3 ∈ х≥0

х=-1 ∉ х≥0.

hola alguien habla español parece que en esta region hablan ingles

Answers

si cómo le puedo ayudar?

Answer:

yo si apenas me lo descargue

The coordinates of the vertices of quadrilateral ABCD are (0,-4) (-4,3) (3,4) (6,-1)

Answers

Based on the given coordinates of the quadrilateral ABCD, the slopes of the lines given at:

Slope of AB = -7/4Slope of BC = 1/7Slope of CD = -5/3Slope of AD = 1/2

What are the slopes of the line?

The slope of AB is:

= (3 - (-4)) / (-4 - 0)

= -7/4

The slope of BC:

= (4 - 3) / (3 - (-4))

= 1/7

The slope of CD:

= (-1 - 4) / (6 - 3)

= -5/3

The slope of AD:

= (-1 - (-4)) / (6 - 0)

= 1/2

The rest of the question is:

The slope of AB ¯ ¯ ¯ ¯ ¯ is , the slope of BC ¯ ¯ ¯ ¯ ¯ is , the slope of CD ¯ ¯ ¯ ¯ ¯ is , and the slope of AD ¯ ¯ ¯ ¯ ¯.

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Use the properties of 30-60-90 and 45-45-90 triangles to solve for x in each of the problems below. Then decode the secret message by matching the answer with the corresponding letter/symbol from the exercises.

Answers

The trigonometric function gives the ratio of different sides of a right-angle triangle. The given problems can be solved as given below.

What are Trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

1st.) x = 5 /Sin(30°)

x = 10

!) sin(45°) = 4/x

x = 4/sin(45°)

x = 4√2

I) Cos(45°) = √3 / x

x = √3 / Cos(45°)

x = √6

E) Tan(60°) = 3√3 / x

x = 3√3 / 3

W) For isosceles right-triangle, the angle made by the legs and the hypotenuse is always 45°.

x = 45°

N) x² + x² = (7√2)²

x = 7

V) Tan(60°) = 7 / x

x = 7√3/3

K) x² + x² = (9)²

x = 9/√2

Y) Sin(60°) = 7√3/x

x = 14

M) Sin(30°) = x/11

x = 11/2

T) Sin(45°) = x/√10

x = √5

A) x + 2x + 90° = 180°

x = 30°

O) Sin(45°) = √2 / x

x = 2

R) Tan(30°) = x / 4

x = 4/√3 = 4√3 / 3

S) Sin(60°) = x / (10/3)

x = 5√3 / 3

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4/3 21/5 what is this answer Hi can someone please help me with these questions!!#1. North AmericaA. 1B. 2C. 3D. 4E. 5#2. AsiaA. 6B. 7C. 8D. 9E. 10#3 IndiaA. 6B. 7C. 8D. 9E. 10#4 West IndiesA. 1B. 2C. 3D. 4E. 5#5 AfricaA. 4B. 5C. 6D. 7E. 8#6 EnglandA. 4B. 5C. 6D. 7E. 8#7 SpainA. 4B. 5C. 6D. 7E. 8#8 South AmericaA. 1B. 2C. 9D. 11E. 12#9 ChinaA. 6B. 7C. 8D. 9E. 10#10 PortugalA. 3B. 4C. 5D. 6E. 7 High Middle Ages agriculture included all except a. the use of slave labor. b. adopting the three-field system. c. improved methods through the use of iron tools. d. increased output by increasing the amount of land used for farming. e. extensive swamp draining and land clearance. Necesito ayuda en esto!! 1. f(x)= x+3 2. f(x)= x+13.f(x)= x+44. f(x)= -x-1Por favor,aydenme Find the value of x for which the lines I and m are parallel.5x+1311x-7314.31516.610 A combination lock like the one shown has three dials. Each of the dials has numbers ranging from 0 to 4. How many different combinations are possible with the lock? A student performs the following lead extraction to test the stoichiometric method and to determine the efficiency of the reaction. In the reaction 49.5 g of lead(II) nitrate is reacted with excess zinc in a single displacement reaction. a. Calculate the theoretical yield of lead in the experiment. b. After separating the lead by filtration and allowing it to dry, the student obtains 19.8g of lead. What is the percent yield of the experiment? An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic Step 1 of 2: Suppose a sample of 2676 new car buyers is drawn. Of those sampled, 642 preferred foreign over domestic cars. Using the data, estimate the proportion of new car buyers who prefer foreign cars. Enter your answer as a fraction or a decimal number rounded to three decimal places. AnswerHow to Enter 2 Points Tables Keypad Keyboard Shortcuts An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2: Suppose a sample of 2676 new car buyers is drawn. Of those sampled, 642 preferred foreign over domestic cars. Using the data, construct the 98 % confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars. Round your answers to three decimal places, Answer low to Enter) 2 Points T Tables Keypad Keyboard Shortcuts Lower endpoint Upper endpoint: Read theexcerpt from Poe's "The Fall of the House of Usher."Shaking this off with a gasp and a struggle, I uplifted myself upon the pillows, and, peering earnestly withinthe intense darkness of the chamber, hearkened -- I know not why, except that an instinctive spirit promptedme -- to certain low and indefinite sounds which came, through the pauses of the storm, at long intervals, Iknew not whence. Overpowered by an intense sentiment of horror, unaccountable yet unendurable, I threw onmy clothes with haste.Which word from this excerpt could be used to argue that the narrator is unreliable? Shaking" suggests the narrator s nervousness.O "Struggle" suggests the narrator's weakness. "Indefinite" suggests the narrator's lack of knowledge. *Overpowered* suggests the narrator's lack of control. How do you solve the expression 1x + 4 8? Suppose the U.S. economy is producing at the natural rate of output. A depreciation of the U.S. dollar will cause ________ in real GDP in the short ru Each of the two models of short-run aggregate supply is based on some market imperfection. In the imperfect-information model, the imperfection is that: a. some firms do not adjust their prices instantly to changes in demand. b. contracts and arrangements may prevent nominal wages from adjusting rapidly to changing economic conditions. c. firms confuse changes in the overall level of prices with changes in relative prices. d. the real wage adjusts to bring labor supply and labor demand into equilibrium. Pls heeeelp!!!!!!!!!!!!!!! What is the authors bias or prejudice within this document? Christmas in the trenches O He extended the deadline for them to leave.O He ordered the Army to remove them by force.O He ordered negotiation of a new treaty.O He canceled the plans for relocation.10In 1838, there were Cherokee resistors who refused to leave their land. What was President Van Buren'sresponse to this resistance? A sample of neon gas at 50.c and a volume of 2.5 l is cooled to 25c. what is the new volume? use the formula: v1 t1 = v2 t2 2.3 l 2.7 l 5.0 l 32.3 l Quadrilateral ABCD is a rectangle.If BDC = 7x + 1 and ADB=9x - 7, find BDC. The functions fand g are defined as follows.g(x) = -2x-5f(x)=2x-3Find f(5) and g(-2).Simplify your answers as much as possible.(s) = 1s(-2) = 03X5? Identify the pair of points that can represent an increasing function that has a greater rate of change than that of the function y = 8/5x + 3/5 can anyone slove this with formula ( operations with rational number)