A real estate agent wants to estimate the mean selling price of two-bedroom homes in a particulararea. She wants to estimate the mean selling price to within $10,000 with an 89. 9% level of confidence. The standard deviation of selling prices is unknown but the agent estimates that the highest selling price is$1,000,000 and the lowest is $50,000. How many homes should be sampled

Answers

Answer 1

The agent should sample at least 109 two-bedroom homes to estimate the mean selling price within $10,000 with an 89.9% level of confidence.

To estimate the required sample size, we need to use the formula:

n = (Zα/2 * σ / E)²

where Zα/2 = the critical value of the standard normal distribution for the given confidence level. For an 89.9% level of confidence, the value of Zα/2 is 1.645.

σ = the population standard deviation (unknown)

E = the margin of error (maximum distance between the sample mean and the true population mean)

To estimate σ, we can use the range method, which assumes that the population standard deviation is approximately equal to the range divided by 4:

σ ≈ (highest value - lowest value) / 4

In this case, σ ≈ ($1,000,000 - $50,000) / 4 = $237,500

Substituting the values into the formula,

n = (Zα/2 * σ / E)²

n = (1.645 * $237,500 / $10,000)²

n ≈ 109

Therefore, the agent should sample at least 109 two-bedroom homes to estimate the mean selling price within $10,000 with an 89.9% level of confidence.

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Related Questions

algebra 2-2

solve \(\sqrt{x}+3=-6\)
√x+3=-6

Answers

The solution of equation is x=-3

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given

The equation;√x+3=-6

Now,

√x=-6-3

√x=-9

x=-3

Therefore the answer of the given equation will be -3

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Will someone help me with this problem please.

Will someone help me with this problem please.

Answers

Answer:-5 10 ,13

Step-by-step explanation:

RiDdLE oF ThE DaY: PaRt 2- Mr.White had been missing and the only evidence he left behind was a paper that said "The first of July, the fourth of January, the first of December and the eighth of February" the police questioned the people that were in the house at that time. Judy said she was at her parents house, Logan was Mr.Whites secretary said he was working on a report for his boss and haven't left his room and Rose, Mr. Whites daughter said she was having guest and never left the living room. Can you crack the case?

Answers

Answer:

Step-by-step explanation:

1st of July: J

4th of January: U

1st of December: D

8th of February: Y

Answer: JUDY!

Answer:

Child  this has to be one the most hard riddles I ever did

Step-by-step explanation:

explain why the expected value of the mean square for the major factor (a) differs depending on whether the minor factor (b) is fixed or random.

Answers

In a two-factor experiment, the expected value of the mean square for the major factor

(a) can differ depending on whether the minor factor

(b) is fixed or random.

Both parts are briefly discussed belwo.

How to determine mean square?

If the minor factor (b) is fixed, it means that the levels of the minor factor are chosen by the experimenter, and they are held constant throughout the experiment.

In this case, the expected value of the mean square for the major factor (a) is calculated by dividing the sum of squares for the major factor by the degrees of freedom for the major factor.

The degrees of freedom for the major factor are equal to the number of levels of the major factor minus one.

On the other hand, if the minor factor (b) is random, it means that the levels of the minor factor are chosen randomly from a population of possible levels, and they are not held constant throughout the experiment.

In this case, the expected value of the mean square for the major factor (a) is calculated by dividing the sum of squares for the major factor by the degrees of freedom for the major factor and the degrees of freedom for the interaction between the major and minor factors.

The degrees of freedom for the interaction are equal to the product of the degrees of freedom for the major and minor factors.

The reason why the expected value of the mean square for the major factor (a) differs depending on whether the minor factor (b) is fixed or random is that in the fixed case.

The variability due to the minor factor is accounted for in the error term, while in the random case, the variability due to the minor factor is accounted for in the interaction term.

Therefore, the degrees of freedom for the major factor are different in the two cases, and this affects the expected value of the mean square for the major factor.

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guys! need help multiplying integers!!
9 x (-7) x (-4)

Answers

Answer:

252

Step-by-step explanation:

9x-7=-63

-63x-4=252

remember positive times a negative equals a negative.

negative times a negative equals a positvie.

positive times a positive equals a positive.

Question 1
A town's population has been exponentially increasing for the past 10 years. The town council initially recorded the town's
population at 6,000 people and tracked it each year after that. The table represents their data.
Years
1
2
3
4
6
7
8
9
Town Population
(in thousands)
6
Part A
6.9
9
10.5
13
14.2
18
20.8
26
31.3
Use the graphing tool to plot the population data and determine the curve of best fit.
Question
What is the equation of the curve of best fit for the population data?
Enter the correct answer in the box by replacing a and b with the values from the graphing tool. Do not round the values
A and b

Question 1A town's population has been exponentially increasing for the past 10 years. The town council

Answers

The  equation of best fit is ŷ = 2.69152X + 3.45818.

From the data we cab write,

Sum of X = 45

Sum of Y = 155.7

Mean X = 4.5

Mean Y = 15.57

Sum of squares (SSX) = 82.5

Sum of products (SP) = 222.05

So, Regression Equation = ŷ = bX + a

Now, b = SP/SSX = 222.05/82.5 = 2.69152

and, a = MY - bMX = 15.57 - (2.69*4.5) = 3.45818

Thus, the equation of best fit is ŷ = 2.69152X + 3.45818.

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(7m+3)+(7m+6)
I really need help with this

Answers

Answer:

Step-by-step explanation:

The parenthesis can cancel because the lack of anything you can do in them, so that will leave you with 7m + 3 + 7m + 6

Next step is to add like numbers, you should start by adding 7m + 7m, which would be 14m.

Next would be to add 3 + 6, which is nine.

To end this equation, simply put 14m + 9

There is no one-number answer because we do not know what m is. So the equation 14m + 9 is the final answer.

In the rainforest of Puerto Rico, I needed to measure the height of a really tall tree. I used a device to measure the angle of elevation from my line of sight to the top of a tree to be 31°. Find the height of the tree if my height is 6 feet and I was 275 feet from the tree

Answers

Answer:

Step-by-step explanation:

See image

In the rainforest of Puerto Rico, I needed to measure the height of a really tall tree. I used a device

Word Problem On Division
1. a cup can hold 2/9 ( fraction) litres of water. how many cups of water can be filled with 3 litre bottle?

Answers

Answer is 13-1/2 cups
Step by step
We know 1 cup is = 2/9 of a liter
We know we are working with 3 liters = how many cups
So first I want my 3 liters in a like denominator based fraction
1 liter is = 9/9 so 3 liters is = 27/9
I want to divide 27/9 by 2/9, the part of a liter that equals 1 cup
When I divide a fraction, I flip one fraction and multiply
27/9 x 9/2 = 243/18, simplify to 13-1/2 cups
Problem solved

You can check your work
Multiply 13-1/2 cups x 2/9
Change your whole number to a mixed fraction
27/2 x 2/9 = 54/18, simplify it equals 3 liters!

Question 5 (2 points)
The graph shows the distance a car traveled, y, in x hours:

What is the rise-over-run value for the relationship represented in the graph?

1) 1/35
2)2/17
3) 35
4) 40

Question 5 (2 points)The graph shows the distance a car traveled, y, in x hours:What is the rise-over-run

Answers

The rise-over-run relationship is the slope of the line. From the origin (0,0), to get to the next point, you would rise 35 units and run 1 unit.

35 / 1 = 35.

Ergo, the relationship is 35.

Answer:

The answer is 35

Step-by-step explanation: The other person who answered this got it correct and I took the test. :)

a group of students played a game in which they earned points for answering questions correctly. the following dotplot shows the total number of points earned by each student.

Answers

The best description of the distribution is bimodal with a gap.

Here in the plot, we can see that there are two peaks and it implies that there are two modes.

This can be seen in a histogram as a distinct gap between two cohesive groups of bars. When two clearly separate groups are visible in a histogram, you have a bimodal distribution. Literally, a bimodal distribution has two modes, or two distinct clusters of data

We can see that there is a gap between the two modes. So the best description of the distribution is bimodal with a gap.

The following dot-Plot shows the bimodal with a gap.

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Angela enjoys swimming and often swims at a steady pace to burn calories. At this pace, Angela can swim 1,700 meters in 40 minutes. a. What is Angela's rate unit

Answers

Answer:

42.5 meters per minute

Step-by-step explanation:

you divide 1700 by 40 to find the unit rate :)

please use a full graph graph the following equation: x = -1

please use a full graph graph the following equation: x = -1

Answers

Explanation:

This is a constant vertical line on x = -1

Answer:

The graph is:

please use a full graph graph the following equation: x = -1

The alphabet has been playing us this whole time!
ABCDEFGHIJKLMNOPQRSTUVWXYZ

ABCDEFG-HI-JK-LMNO-PQRSTUVWXYZ
Hi! Jk! Lmno (Laughing my nose off!)

Answers

Answer:

ABCDEFGHIJKLMNOPQRSTUVWXYZ i get it

Step-by-step explanation:

wahahahahahhahaha....

that's so funny l m a o....

I never noticed this....ahahahahahaha

ima share this with my friend lol...

thanks for this....ahahaha

have a great day :)

seriously, that's funny!

Graph the image of the given triangle after the transformation that has the rule (x, y)→(x+3, y−2).

Select the Polygon tool. Click the points of the triangle vertices to create the triangle by connecting the sides

Graph the image of the given triangle after the transformation that has the rule (x, y)(x+3, y2).Select

Answers

Answer:

The coordinates are... (4,1), (0,2), (8,3), (4,1)

The transformation of the given triangles is given by ΔA'B'C' where

A' = (0,2), B' = (4,1), C' = (8,3) this transformation can be seen in the attached figure.

What is transformation of a figure?

The transformation of a two dimensional figure is given by manipulating given figure using translation, rotation or compression or expansion.

Given a triangle ABC with coordinates A (-3,4) , B (1,3) , C (5,5)

The transformation rule is given as :

(x, y ) → ( x+3 , y -2)

Then let the new coordinates of ΔABC are A' , B' , C'

For A' , (-3,4) → ( -3+3 , 4 -2) = (0,2)

A' = (0,2)

For B' , (1,3)  → ( 1+3 , 3-2) = (4,1)

B' =(4,1)

For C' , (5,5)  → ( 5+3 , 5-2) = (8,3)

C' = (8,3)

Therefore the coordinates of the transformed triangle is A' = (0,2),

B' = (4,1), C' = (8,3) and Δ A' B' C' can be seen in the attached figure.

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Graph the image of the given triangle after the transformation that has the rule (x, y)(x+3, y2).Select

Which statement about the answer to this problem is most accurate? 4/5 - 3/4 = 1/20

Answers

Answer:

that would be correct it would be 1/20 or as a decimal 0.05

pls help w explanation!!

A town with a population of 5,000 is being divided
into two voting districts: District X and District Y.
The populations of the two districts must differ by no
more than 500 people. Which of the following
systems represents all possible values for the
population x of District X and the population y of
District Y?
A) x-y ≤ 500 and x+y =5,000 B) x-y =500 and x+y ≤ 5,000 C) -500 ≤ x - y ≤ 500 and x+ y =5,000 D) -250 ≤ x - y ≤ 250 and x + y = 5,000

Answers

Answer:

A is the Answer

Step-by-step explanation:

Since the population is being split up into 2 divisions out of 5,000.

This means District X and Y must add up 5000.

\(x + y = 5000\)

District X and Y must differ no more than 500 people.

So this means that X and Y total people difference cannot be over 500 people. So the equation for this is

\(x - y \leqslant 500\)

A shows this so A is the answer.

What do they mean by proportion can someone help​

What do they mean by proportion can someone help

Answers

The tables is completed as follows

5.1.1

1    8

2   16

4    24

6   48

8    64

12    96

5.1.2

The type of proportion is Direct Proportion

5.2.1

1    8

2   4

4    2

6     1

8    0.5

5.1.3

The type of proportion is Inverse Proportion

What are the types of proportions

Direct Proportion: A direct proportion is a relationship between two variables where an increase in one variable results in a proportional increase in the other variable, and a decrease in one variable results in a proportional decrease in the other variable.

The general formula for a direct proportion is y = kx,

where

k is the constant of proportionality.

Inverse Proportion: An inverse proportion is a relationship between two variables where an increase in one variable results in a proportional decrease in the other variable, and a decrease in one variable results in a proportional increase in the other variable.

The general formula for an inverse proportion is y = k/x,

Joint Proportion: A joint proportion is a relationship between three or more variables where one variable is directly proportional to the product of the other variables.

The general formula for a joint proportion is y = kxy,

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The circumference of a circle is 27.004 yards. What is the circle's radius?

Answers

Answer:

Step-by-step explanation:

Remark

Givens

Circumference = 27.004

pi = 3.14

Formula

C = 2*pi * r

Solution

27.004 = 2 * 3.14 * r

27.004 = 6.28 * r

27.004/6.28 = r

r = 4.3

a right triangle and with AC=10cm and AB=6cm is given what is the area​

Answers

Answer:

Base = 10

height = 6

Area = 1/2

An ice cube weighs 20 grams. How much will it weigh after it melts?

Answers

Answer:well if a ice cub melts its probally gonna be 0

Step-by-step explanation:

im not so good sorry

Find the length of side b to two decimal places

Find the length of side b to two decimal places

Answers

Answer:

b = 14.34

Step-by-step explanation:

sin(Θ) = (Opposite/Hypotenuse)

sin(35)= (b/25)

25 x sin(35) = 14.33941091

I need help with this :(

I need help with this :(

Answers

Answer:

1. 4 2. 4 3. 5 4.1

Step-by-step explanation:

first box is 4 second box is 4 third is 5 fourth is 1.

You're welcome.

Daniel has $1,200 in the bank. He is earning 3.5% compound interest each month. How much money will he have in the bank in one year? is that an example of linear or non-linear growth?

Answers

As Daniel has $1,200 in the bank, he will consequently have around $1,259.18 after a year.

what is compound interest ?

In order to earn interest on both the initial principal and the accrued interest from prior periods, compound interest is the practise of adding interest to the principal amount of a loan or deposit. In other words, the principal plus the interest produced during each compounding period becomes the principal for the subsequent period. "Interest on interest" is how compound interest is often referred to.

given

Growth is not linear since Daniel is receiving compound interest.

Using the compound interest formula, we can determine how much money Daniel will have in the bank after a year:

A = P(1 + r/n)^(nt) (nt)

where n is the number of times the interest is compounded per year (since he earns interest each month, n = 12), t is the number of years (in this case, t = 1), A is the amount of money after one year, P is the starting principal (in this case, $1,200), r is the annual interest rate (3.5%).

Inserting the values:

A = 1200(1 + 0.035/12)^(12*1) ≈ $1,259.18

As Daniel has $1,200 in the bank, he will consequently have around $1,259.18 after a year.

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Someone help meeee please

Someone help meeee please

Answers

Answer:

The equation of the line is -5/4

Step-by-step explanation:

How many even numbers are from 1-10?

Answers

Answer:

5

Step-by-step explanation:

2,4,6,8,10

5
Good luck hope this helps

suppose this system of linear differential equations can be put in the form . determine and . is the system homogeneous or nonhomogeneous? choose find the largest interval such that a unique solution of the initial value problem is guaranteed to ex

Answers

The system of linear differential equations is homogeneous and the largest interval such that a unique solution of the initial value problem is guaranteed to exist is (-∞, ∞).

Given the system of linear differential equations can be put in the form (A - λI)X = 0, where λ and X are the eigenvalue and eigenvector of the matrix A, respectively. Determine λ and X and determine whether the system is homogeneous or non-homogeneous. Choose the largest interval such that a unique solution of the initial value problem is guaranteed to exist.For the given system of linear differential equations:

dx/dt = 4x + 6y

dy/dt = -2x - 4y

the matrix A is given by:

 [4   6 ][-2 -4 ]

The eigenvalue λ can be found from the characteristic equation det(A - λI) = 0 as follows:

[4 - λ   6    ][-2    -4 - λ] = 0λ² - λ - 8 = 0

Solving the above equation, we get, λ = -1 and λ = 8.

Therefore, λ1 = -1 and λ2 = 8 are the eigenvalues of matrix A.

To find the eigenvectors, we solve the equation (A - λI)X = 0 for each λ separately.

For λ1 = -1, we get[A - (-1)I]X = 0

⇒[5   6 ][x    ] = 0[-2   -3][y    ]      [x    ][-2y  ]

Therefore, the eigenvector corresponding to

λ1 = -1 is

X1 = [x y]T = [2 -1]T.

For λ2 = 8, we get

[A - 8I]X = 0⇒[-4   6 ][x    ]

= 0[-2  -12][y    ]  [x    ][3y   ]

Therefore, the eigenvector corresponding to

λ2 = 8 is

X2 = [x y]T = [3 1/2]T.

The given system of linear differential equations can be written in the matrix form as

dX/dt = AX,

where A is the matrix [4 6][-2 -4] and X is the column vector [x y]T.

The general solution of this system is given by

X(t) = c1 e^(λ1t)X1 + c2 e^(λ2t)X2,

where c1 and c2 are constants of integration and X1 and X2 are the eigenvectors corresponding to the eigenvalues λ1 and λ2, respectively. Therefore, the general solution of the given system is given by

x(t) = 2c1 e^(-t) + 3/2 c2 e^(8t)y(t)

= -c1 e^(-t) + 1/2 c2 e^(8t)

where c1 and c2 are constants of integration to be determined from the initial conditions. Since the system of differential equations is homogeneous, the trivial solution x(t) = y(t) = 0 is a solution of the system. Hence, the system is homogeneous.

The given initial value problem has initial conditions x(0) = 1 and y(0) = 0.

Therefore, we have

c1 + 3/2 c2 = 1 and

-c1 + 1/2 c2 = 0

Solving these two equations, we get c1 = 1/5 and c2 = 2/5.

Therefore, the particular solution of the given initial value problem is given by

x(t) = (2/5) e^(-t) + (6/5) e^(8t)y(t)

= -(1/5) e^(-t) + (1/5) e^(8t)

Hence, the largest interval such that a unique solution of the initial value problem is guaranteed to exist is (-∞, ∞).

The system of linear differential equations is homogeneous and the largest interval such that a unique solution of the initial value problem is guaranteed to exist is (-∞, ∞).

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need help pls!!!!!!!!!!

need help pls!!!!!!!!!!

Answers

Answer: 4 side faces and one base faces I believe im sorry times a 100 if its wrong

Step-by-step explanation:

What is commutative property

Answers


Commutative property of addition:

The property that states the sum of an addition problem will be the same no matter the order of its numbers.
a + b = b + a

you make 9.65 per hour as a lifeguard. You work 4.5 hours in one week. How much money did you have

Answers

Answer: $43.43

Step-by-step explanation:

Take 9.65 times 4.5 = $ 43.425

Round up; we will get the answer $43.43

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