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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algebra 2-2
solve \(\sqrt{x}+3=-6\)
√x+3=-6
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.
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?
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.
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)
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
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
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
Answer:
Step-by-step explanation:
See image
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?
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
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.
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
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
Explanation:
This is a constant vertical line on x = -1
Answer:
The graph is:
The alphabet has been playing us this whole time!
ABCDEFGHIJKLMNOPQRSTUVWXYZ
ABCDEFG-HI-JK-LMNO-PQRSTUVWXYZ
Hi! Jk! Lmno (Laughing my nose off!)
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
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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Which statement about the answer to this problem is most accurate? 4/5 - 3/4 = 1/20
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
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
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?
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
Answer:
Base = 10
height = 6
Area = 1/2
An ice cube weighs 20 grams. How much will it weigh after it melts?
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
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 :(
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?
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
Answer:
The equation of the line is -5/4
Step-by-step explanation:
How many even numbers are from 1-10?
Answer:
5
Step-by-step explanation:
2,4,6,8,10
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
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!!!!!!!!!!
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
you make 9.65 per hour as a lifeguard. You work 4.5 hours in one week. How much money did you have
Answer: $43.43
Step-by-step explanation:
Take 9.65 times 4.5 = $ 43.425
Round up; we will get the answer $43.43