Answer:
The percentage of recently sold homes with prices between $217,700 and $242,300
P( 2,17,700 ≤X≤2,42,300) = 95.44
Step-by-step explanation:
Step(i):-
Given that the mean the Population = 2,30,000
Given that the standard deviation of the Normal distribution = 6150
By using
\(Z = \frac{x-mean}{S.D}\)
Let 'X₁' = 2,17,700
\(Z_{1} = \frac{217700-230000}{6150} = -2\)
Let 'X₂' = 2,42,300
\(Z_{2} = \frac{242300-230000}{6150} = 2\)
Step(ii):-
The probability that recently sold homes with prices between $217,700 and $242,300
P( 2,17,700 ≤X≤2,42,300) = P( -2≤Z≤2)
= | A(2) + A(-2)|
= |A(2) + A(2)| (∵A(-z) =A(z)
= 2× A(2)
= 2×0.4772
= 0.9544
Final answer:-
The probability that recently sold homes with prices between $217,700 and $242,300
P( 2,17,700 ≤X≤2,42,300) = 0.9544
The percentage of recently sold homes with prices between $217,700 and $242,300
P( 2,17,700 ≤X≤2,42,300) = 95.44
. Bella makes $7.50 an hour working at her job at the movie theater. If she worked 12 hours last week and 15.5 hours the week before, how much did she make total for the two weeks? (3pts – 1pt each for setting up equation, correct answer, correct label)
A water coller filll 150 glae in 30 minute how many glae of water can the coller filll in one minute
Five water glasses each minute, one minute to fill the cooler.
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. what kinds of values and units
Let's say you go to the store to buy six apples.
You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples. Recognizing the units and values is crucial when using the unitary technique to a problem.
Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things.
We are aware of the quantity of apples and the amount of money in the aforesaid problem.
According to our question-
divide 150 by 30 equal 5
= 5
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Assume y(t) = 2t{t-4 x(T) dt
a) Find impulse response b) Determine this system is linear or non-linear c) Check the stability of this system
For the given expression 2t² is the impulse response, and the given system is linear and the system is unstable
Given, y(t) = 2t{t-4 x(T) dt.
a) To find impulse response, let x(t) = δ(t).Then, y(t) = 2t{t-4 δ(T) dt = 2t.t = 2t².
Let h(t) = y(t) = 2t² is the impulse response.
b) A system is said to be linear if it satisfies the two properties of homogeneity and additivity.
A system is said to be linear if it satisfies the two properties of homogeneity and additivity. For homogeneity,
let α be a scalar and x(t) be an input signal and y(t) be the output signal of the system. Then, we have
h(αx(t)) = αh(x(t)).
For additivity, let x1(t) and x2(t) be input signals and y1(t) and y2(t) be the output signals corresponding to x1(t) and x2(t) respectively.
Then, we have h(x1(t) + x2(t)) = h(x1(t)) + h(x2(t)).
Now, let's consider the given system y(t) = 2t{t-4 x(T) dt.
Substituting x(t) = αx1(t) + βx2(t), we get y(t) = 2t{t-4 (αx1(t) + βx2(t))dt.
By the linearity property, we can write this as y(t) = α[2t{t-4 x1(T) dt}] + β[2t{t-4 x2(T) dt}].
Hence, the given system is linear.
c) A system is stable if every bounded input produces a bounded output.
Let's apply the bounded input to the given system with an input of x(t) = B, where B is a constant.Then, we have
y(t) = 2t{t-4 B dt} = - 2Bt² + 2Bt³.
We can see that the output is unbounded and goes to infinity as t approaches infinity.
Hence, the system is unstable. Therefore, the system is linear and unstable.
Thus, we have found the impulse response of the given system and checked whether the system is linear or not. We have also checked whether the system is stable or unstable. We found that the system is linear and unstable.
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Sonya makes a pattern of values for X in a pattern of values for Y which ordered pair continues the pattern and has an x- value of 6
3
David and Alec are comparing the international calling plans on their cell phones. On his plan,
David pays $4 just to place a call and $1 for each minute. When Alec makes an international
call, he pays $1 to place the call and $2 for each minute. A call of a certain duration would
cost exactly the same under both plans. What is the duration?
Write a system of equations, graph them, and type the solution.
Which ordered pairs make both inequalities true? Check all that apply. (–2, 2) (0, 0) (1,1) (1, 3) (2, 2)
Answer: (1,1) (2,2)
Step-by-step explanation: got it right on edg
Answer:
C. (1,1)
E. (2, 2)
Step-by-step explanation:
why did my dog have diarrhea when it ate a strawberry?
Answer: I don’t know, because strawberries are seen as good for dogs and it provides them with extra vitamin c. Maybe he/she just didn’t like it or it didn’t sit well in the stomach.
Answer: Sometimes a dog may be allergic to a certain food. Vomiting, diarrhea and skin problems may be symptoms of an allergic reaction. Consult your veterinarian if any of those occur. Introduce only one type of fruit at a time to your dog. Hope this helps... Stay safe and have a great weekend...
Plz mark me brainliest... Hope this is what you are looking for...
:D
What is remainder when x3 2x² X 1 is divided by x 1?
When x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.
In the given question, we have to find what is remainder when x^3+2x^2+x+1 is divided by (x+1).
To find the remainder there are two ways. First we divide the x^3+2x^2+x+1 by (x+1). Second we find the value of from (x+1) by equating (x+1) equal to zero. The put the value of x in the expression x^3+2x^2+x+1.
In this we ca easily find the remainder.
Now we firstly find the value of x;
(x+1) = 0
Subtract 1 on both side we get;
x= −1
Now put x= -1 in the expression x^3+2x^2+x+1.
x^3+2x^2+x+1 = (−1)^3+2(−1)^2+(−1)+1
x^3+2x^2+x+1 = −1+2−1+1
x^3+2x^2+x+1 = 1
Hence, when x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.
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The right question is:
What is remainder when x^3+2x^2+x+1 is divided by (x+1)?
The double box plot shows the test scores for Miss Robinson's second and fourth period
classes. Based on the double box plot, which sentence is true?
A researcher is interested in whether there is a difference in charitable donations based on the Type of Organization and Gender. She does an experiment to assess the average donations for the Salvation Army, Planned Parenthood, and the Humane Society. And she marks each donor's gender when they donate. What statistical test should she use?
This statistical test is appropriate because it allows for the examination of the effects of two independent variables (Type of Organization and Gender) on a continuous dependent variable (average donations).
The researcher should use a two-way ANOVA (analysis of variance) test to assess the difference in charitable donations based on both the type of organization and gender. This will allow the researcher to determine whether To analyze the difference in charitable donations based on the Type of Organization and Gender, the researcher should use a Two-Way ANOVA (Analysis of Variance). This statistical test is appropriate because it allows for the examination of the effects of two independent variables (Type of Organization and Gender) on a continuous dependent variable (average donations).
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If the walls in a room measure 1604ft
2
in area, and a gallon of paint covers exactly 19 square yards, how many gallons of paint are needed for the room? Use the correct number of sig figs in your answer and show all work for full credit.
Approximately 9.38 gallons of paint are needed for the room. we can convert the area to square yards and then divide it by the coverage of one gallon of paint, which is 19 square yards.
First, we need to convert the area of the room from square feet to square yards. Since 1 yard is equal to 3 feet, 1 square yard is equal to (3 ft)^2 = 9 square feet. Therefore, the area of the room in square yards is 1604 ft^2 / 9 ft^2 = 178.22 square yards.Next, we divide the area in square yards by the coverage of one gallon of paint, which is 19 square yards. This will give us the number of gallons of paint needed 178.22 square yards / 19 square yards/gallon = 9.37789474 gallons. Rounding the answer to the appropriate number of significant figures, we find that approximately 9.38 gallons of paint are needed for the room.
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a company has 14 employees with a salary of $20,800, 10 employees with a salary of $23,600, 16 employees with a salary of $25,300 , 3 employees with a salary of $30,700, 6 employees with a salary of $38,700 and 1 employee with a salary of $149,300 find the mean salary for the employees
We have the following:
In this case, what we must do is calculate the weighted average, as follows:
\(\begin{gathered} m=\frac{14\cdot20800+10\cdot23600+16\cdot25300+3\cdot30700+6\cdot38700+1\cdot149300}{14+10+16+3+6+1} \\ m=\frac{1405600}{50} \\ m=28112 \end{gathered}\)The mean salary is $28112
PLEASE HELP! WILL MARK BRAINLIEST
Which value of b results in infinitely many solutions for the system?
Answer:
D. 3
Step-by-step explanation:
If you multiply the second equation, 3x+2y=1 by 3, it will be 9x+6y=3 which will cancel out the first equation giving you infinitely many solutions.
What are the 5 properties of a triangle?
Triangle properties include triangle inequality, angle sum, congruence, exterior angle theorem, and isosceles triangle theorem.
1. Triangle Inequality: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
2. Angle Sum of a Triangle: The sum of the angles of a triangle is always equal to 180°.
3. Congruence of Triangles: If two triangles have all three sides equal, then they are congruent (the same size and shape).
4. Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it.
5. Isosceles Triangle Theorem: If two sides of a triangle are equal in length, then the angles opposite those sides are also equal in measure.
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The five properties of triangle is listed below.
The term triangle is defined as the polygon with three angle, sides and vertices.
Here we have to list down the properties of triangle.
The basic five properties of triangle are as follows:
1) in geometry, total amount of space inside the triangle is called the area of a triangle. And it is measured by square units.
2) The property of perimeter of a triangle is equal to the sum of all three sides of the triangle.
3) And the another property states that sum of the length of the two sides of a triangle is greater than the length of the third side.
4) according to the angle, the property states that sum of the angles of a triangle is always 180 degrees.
5) If angles of an equilateral triangle are equal and has a measure of 60⁰ each.
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research shows that ethnicity is often a bigger barrier to advancement into top leadership positions than being a woman.
It is important to approach statements like this with caution and consider the complexity of the factors at play in career advancement and leadership positions.
While research may indicate that ethnicity can be a significant barrier to advancement in some cases, it is crucial to recognize that experiences can vary based on individual circumstances, industries, and regions. Gender and ethnicity intersect in complex ways, and the challenges faced by women of different ethnic backgrounds can differ significantly.
It is essential to avoid generalizations and recognize that multiple factors contribute to the barriers individuals face in reaching top leadership positions. These factors can include implicit biases, cultural norms, lack of representation, access to opportunities, networking, and organizational structures. Intersectionality, which considers how different aspects of a person's identity can intersect and create unique experiences, is also a crucial perspective to consider when discussing barriers to advancement.
To fully understand and address the barriers individuals face in reaching top leadership positions, it is necessary to consider a comprehensive range of factors and engage in ongoing research, dialogue, and efforts to promote equity, diversity, and inclusion in the workplace.
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i really need help
pls i thank anyone and mark brainlest
Answer:
25h + 12
Explanation:
21h -10h + 14h + 16 -9 +5 ( group term )
25h + 12 ( simplified )
Answer:
\(25h+12\)
Step-by-step explanation:
To do this, we need to combine like terms:
\(21h-10h+14h+16-9+5\)
Combine terms that have "h" with each other.
\(11h+14h+16-9+5\)
\(25h+16-9+5\)
Now, combine the rest of the terms that don't have "h".
\(25h+7+5\)
\(25h+12\)
Simon (Mr. Lovett) completed 4 sets of chin-ups. Every set he reached a different prime number of chin-ups. Knowing this, what number of chin-ups could he have reached in each set?
Group of answer choices
Answer:
answer is b!
Step-by-step explanation:
hope this helps!!!
In interval estimation, as the sample size becomes larger, the interval estimate.
The interval estimate becomes narrower.
An interval estimate is the use of sample data to calculate an interval of possible (or probable) values of an unknown population parameter, as opposed to a point estimate, which is a single number.
Estimation is a method of drawing conclusions about an unknown population parameter from a sample. An estimate is a statistic that is used to calculate the value of a parameter that is not defined. Intervals are statistical estimation approaches that use survey data to generate ranges of values that are likely to contain the population value of interest. Point estimates, on the other hand, are single-valued estimates of the population value. Confidence intervals are the most familiar of the various forms of statistical intervals. Certain types of analysis and scenarios, on the other hand, require the use of different scopes that provide different details.
Hence in interval estimation, as the sample size becomes larger, the interval estimate becomes narrower.
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Helppp!!!!!!!!!!!!!!!!!!!!!
The value of x is equal to 15°
How to determine the value of x?In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.
Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.
By substituting the given parameters, we have the following:
3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.
3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.
23x + 15 = 360°.
23x = 360 - 15
23x = 345
x = 345/23
x = 15°.
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Which equation would you use to solve the following situation?
There are 6 cookies in the cookie jar. Sean bakes some more and now there are 15 cookies in the jar. How many cookies did Sean bake?
6 + x = 15
x - 6 = 15
15 + 6 = x
6 - x = 15
Answer:6+9
Step-by-step explanation:
because 5=10 is 15 and to get the same answer on any other questions like this is Example: 4+4 take 1 off of a digit and put that one on the other digit yw for the help
Answer:
15 + 6 = x
Step-by-step explanation:
1b. Hailey's plane climbed 1,004.7 feet in 59.1 seconds. How fast did her plane climb every second?
Answer:
:)
Step-by-step explanation:
Just divide 1,004.7 by 59.1
Find an equivalent system of equations for the following system: (1 point) 2x + 4y = 4 −5x + 5y = 5
Answer: To find an equivalent system of equations, we can use algebraic operations to manipulate the original equations while preserving the solutions.
One way to eliminate one of the variables is to multiply one of the equations by a constant that will make the coefficients of one of the variables in the two equations opposite in sign. Here, we can multiply the first equation by -5 and the second equation by 2 to eliminate the x variable:
-10x - 20y = -20
10x - 10y = 10
Adding these two equations, we get:
-30y = -10
Dividing both sides by -30, we get:
y = 1/3
Substituting this value of y into one of the original equations, we can solve for x:
2x + 4(1/3) = 4
2x + 4/3 = 4
2x = 8/3
x = 4/3
Therefore, an equivalent system of equations is:
x = 4/3
y = 1/3
These two equations have the same solution as the original system.
Step-by-step explanation:
In Asha's science experiment, her bacteria are dying at a constant rate of 600 an hour. If she drew a graph of the number of bacteria in her culture where x represented the time in minutes since the start of the experiment and y represented the number of bacteria remaining in the colony, her graph would be a line. What would be the slope of this line?
pls help asap
Answer:
67
Step-by-step explanation:
duh
Answer:
Step-by-step explanation:
I also need help with this one.
In the coordinate plane three vertices of rectangle ABCD are A(0,0), B(0,a) and D(b,0). What are the coordinates of point C?
Answer:
C (a, b) is the cordinates of point c.
Can u guys PLEASE answer this question ASAP.
which of the two points M(3,6) and N(6,-4) is closer to P(-2,-1)
Answer:
n
Step-by-step explanation:
Answer:
\(\fbox{\begin{minipage}{11em}N is closer to P than M\end{minipage}}\)
Step-by-step explanation:
Step 1: Define the way to calculate distance between 2 points in two-dimensional (2D) plane
Supposing that there are two points \((x_{1}, y_{1})\) and \((x_{2}, y_{2})\) on 2D plane.
The distance \(d\) between these two points is calculated by:
\(d = \sqrt{(x_{1} - x_{2}) ^{2} + (y_{1} - y_{2})^{2} }\)
Step 2: Calculate the distance \(d_{1}\) between \(M(3, 6)\) & \(P(-2, -1)\) and distance \(d_{2}\) between \(N(6, -4)\) and \(P(-2, -1)\)
Applying the formula in step 1:
\(d_{1} = \sqrt{(3+ 2) ^{2} + (6 + 1)^{2} } = \sqrt{25 + 49} = \sqrt{74}\)
\(d_{2} = \sqrt{(6+ 2) ^{2} + (-4 + 1)^{2} } = \sqrt{64 + 9} = \sqrt{73}\)
Step 3: Compare and conclude
Because \(\sqrt{73} < \sqrt{74}\) => \(d_{2} < d_{1}\) => N is closer to P than M
Hope this helps!
:)
Rewrite this expression in simplest form.
(40&w)(-2003)2
Step-by-step explanation:
telling you later please wait
y=400(0.99)x growth or decay
The given function of the growth decay is decreasing.
What in mathematics is an exponential?
The formula for an exponential function, often known as an exponential function, is f (x) = axe, where "x" is a variable and "a" is a constant that serves as the function's basis and must be greater than 0.The transcendental number, abbreviated e, which is roughly equivalent to 2.71828, is the most often used exponential function basis.
We have given that,
Y=400(.99)^x
Exponential growth is a process that increases quantity over time. decreases over time, and is said to be undergoing exponential decay instead.
Therefore, The given function of the growth decay is decreasing.
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Give two original examples of finite set.
Answer:
The set of all persons in America is a finite set.
The set of all birds in California is a finite set.
Step-by-step explanation: hope those help
Evaluate the indefinite integral. (use c for the constant of integration. ) int (3x - 2)**20 dx
The solution to the indefinite integral \(\int\limits {(3x-2)^{20}} \, dx\) is \(\frac{(3x-2)^{21}}{63} +C\).
Indefinite Integrals are the integrals that can be calculated by the reverse process of differentiation and are referred to as the antiderivatives of functions.
The process of finding the indefinite integral is called integration.
\(=\int\limits {(3x-2)^{20}} \, dx\\\\put \ 3x-2 = t\\\\3dx = dt\\\\=\frac{1}{3} \int\limits {(t)^{20}} \, dt\\\\=\frac{1}{63}t^{21} + C\)
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2) The representative agent lives for infinite periods (0,1,2,…) and receives exogenous incomes of y0,y1,y2,…, respectively. The lifetime present discounted value of utility is given by: ∑t=0[infinity]βtln(ct) with β(<1) being the discount factor and ct is consumption at time t. The agent is allowed to save or borrow at the real interest rate r, but she cannot die with debt or wealth. Assume also that the initial wealth is zero. a. Solve the optimization problem of the agent using the period-by-period budget constraints. In particular, show the Euler equation. b. Using the given functional form, write the Euler equation between time 1 and time 3 . In other words, show how c1 and c3 are related. c. Write the present discounted value of optimal lifetime consumption as a function of c0 (and, potentially, other parameters or exogenous variables). d. Write the present discounted value of optimal lifetime utility as a function of c0 (and, potentially, other parameters or exogenous variables). e. Find the present discounted value of lifetime income as a function of y0 (and, potentially, other parameters or exogenous variables) when income is growing each period at the rate of γ, where 0<γ0 ? Explain!
a. U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.
b. U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.
c. C0 = ∑t=0[infinity](β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.
d. U0 = ∑t=0[infinity](β(1 + r))^tln(ct). This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.
Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income.
a. The optimization problem of the representative agent involves maximizing the present discounted value of utility subject to the period-by-period budget constraint. The Euler equation is derived as follows:
At each period t, the agent maximizes the utility function U(ct) = ln(ct) subject to the budget constraint ct = (1 + r)wt + yt, where wt is the agent's wealth at time t. Taking the derivative of U(ct) with respect to ct and applying the chain rule, we obtain: U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.
b. The Euler equation between time 1 and time 3 can be written as U'(c1) = β(1 + r)U'(c2), where c1 and c2 represent consumption at time 1 and time 2, respectively.
Similarly, we can write the Euler equation between time 2 and time 3 as U'(c2) = β(1 + r)U'(c3). Combining these two equations, we fin
d U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.
c. The present discounted value of optimal lifetime consumption can be written as C0 = ∑t=0[infinity](β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.
d. The present discounted value of optimal lifetime utility can be written as U0 = ∑t=0[infinity](β(1 + r))^tln(ct).
This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.
e. The present discounted value of lifetime income, denoted as Y0, can be expressed as Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income. The income in each period is multiplied by (1 + γ) to account for the increasing income over time.
This assumption of income growth allows for a more realistic representation of the agent's economic environment, where income tends to increase over time due to factors such as productivity growth or wage increases.
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