the Barons have saved $4,725 for a down payment on a house. If a seven and a half percent down payment is required, what price house can they buy? Will mark brainliest​

The margin of error can be calculated using the formula:
Margin of error = (upper limit of the confidence interval - lower limit of the confidence interval) / 2

In this case, a margin of error of 9.55 suggests that the sample mean is quite precise, since it's relatively close to the true population mean (which we know to be 52.90).

In this case, the lower limit of the confidence interval is 43.85 and the upper limit is 61.95.
Margin of error = (61.95 - 43.85) / 2
Margin of error = 9.55
Therefore, the margin of error is 9.55. This means that if the sample size were to be repeated, we would expect the sample mean to be within 9.55 units of the true population mean 95% of the time.
It's worth noting that the confidence interval provides a range of values within which we can be reasonably certain that the true population mean lies. The margin of error, on the other hand, gives us an indication of the precision of our estimate. However, if the margin of error were larger, this would indicate that our estimate is less precise and that we need a larger sample size to obtain a more accurate estimate of the population mean.

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Step-by-step explanation:

Answer:

Step-by-step explanation:

Factorize 12 and 24

12 = 2 * 2 * 3

24 = 2 * 2 * 2 * 3

GCF = 2 * 2 * 3 = 12

12 + 24x = 12*1 + 12 * 2 *x

             = 12*(1 + 2x)

A political scientist surveyed 28 of the current 101 representatives in a state's congress.

The size of the sample is 28.

Sample size :

A sample is a small part of a population chosen for statistical research.

The sample size refers to the number of individuals in a sample, as the name suggests.

It has a significant impact on the data's accuracy and precision.

A larger sample size will reduce the sampling error, allowing the findings to be more accurate.

A political scientist has surveyed 28 of the current 101 representatives in a state's congress.

So, the size of the sample is 28.

The size of the sample is the number of participants in a study who are selected from the population.

To assess results, researchers use data from a sample of a population.

Sample size determines the accuracy of survey findings.

Larger samples lead to more reliable results because they represent the population more effectively.

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Answer: The answer is x = 6.5

The volume of triangular pyramid(base of 3sides) is 79.3\(cm^{3}\)

Volume is defined as the amount of space occupied by an object within the boundaries in the three dimensional space.

Given that triangular pyramid of base 6.5cm and height 13 cm.

We have to find the volume of the triangular pyramid.

Volume of triangular pyramid =\(\frac{ \sqrt{3} }{2}*a^{2}*h\) cubic units.

                                                 = \(\frac{ \sqrt{3} }{2}*(6.5)^{2}*13\)

                                                 = 79.3\(cm^{3}\).

Hence, the volume of Triangular pyramid(base of 3sides) is 79.3\(cm^{3}\)

The correct question is :

What is the volume of a triangular pyramid of base: 6.5cm. Body height and triangle height 13cm?

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Answer:

B

Step-by-step explanation:

We can use the rule [ x^y * x^z = x^y+z ] to simplify.

31^7 * 31^4

31^7+4

31^11

Best of Luck!

The equation of the linear function is:

z = 10 + 4x + 6y

To find the equation of the linear function, we need to determine the values of c, m, and n in the function z = c + mx + ny.

Since the graph of the function intersects the xz-plane at z = 4x + 10 and the yz-plane at z = 6y + 10, we can use these equations to find the values of c, m, and n.

When the graph intersects the xz-plane (y = 0), we have:

z = c + mx + n(0) = c + mx

Comparing this with z = 4x + 10, we can equate the coefficients:

c = 10 (the constant term)

m = 4 (the coefficient of x)

When the graph intersects the yz-plane (x = 0), we have:

z = c + m(0) + ny = c + ny

Comparing this with z = 6y + 10, we can equate the coefficients:

c = 10 (the constant term)

n = 6 (the coefficient of y)

Therefore, the equation of the linear function is:

z = 10 + 4x + 6y

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The correct answer for the given problem is option (D) .

growth rate in the initial population of 1.08.. So, the equation for solving this population growth problem is 10,000(1.08) ²⁰

Before twenty years, the actual population was 10,000.

Population growth per year = 8% = ((100+8)10,000)/100=10,800.

So, there will be an addition of 800 people to the population every year.

After a period of twenty years, the total population was 10,000 + 19×(800) = 25,200.

Population for t years = (Initial Population)× (Growth or Decay Rate)×time

Using the above population increment formula,

Time( in years) ----->Population

0------>10000

1------->10000 (1.08)

2------->10000(1.08)(1.08)

3------->10000(1.08)(1.08)(1.08)

------------------

n ----->10000(1.08)

Here, we are required to have a population after 20 years, i.e., n= 20. The required equation, which is used for solving population growth problem, is 10000(1.08)²⁰

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If they plan to randomly select 30 parents and send them a survey and follow up with a phone call , then type of sampling strategy being used is (a) Cluster Sampling.

The Cluster Sampling is defined as a sampling technique where the entire population is divided into groups or clusters, and then a sample is taken from each cluster.

In this case, the entire population of the school system is divided into 10 elementary schools, and a sample of 30 parents from each school is selected.

The idea behind cluster sampling is that it is often easier and more efficient to obtain a sample from a smaller group rather than trying to select a sample from the entire population. The key feature of cluster sampling is that the units selected from the population are groups rather than individuals.

The given question is incomplete , the complete question is

In a large city school system with 10 elementary schools in a variety of neighborhoods, the school board is considering the adoption of a new policy that would require elementary students to pass a test in order to be promoted to the next grade. The PTA wants to find out whether parents agree with this plan. They plan to randomly select 30 parents from every elementary school, then send them a survey and follow up with a phone call or home visit if the survey is not returned within a week.

Which type of sampling strategy is being used ?

(a) Cluster Sampling

(b) Convenience Sampling

(c) Stratified Sampling

(d) Voluntary Sample .

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A) Function is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

b)  The local minimum value of f is; 5608/2197 at x = -42/13, and the local maximum value of f is 139/8 at x = 7/2.

(a) To determine the intervals on which f is increasing or decreasing, we need to determine the critical points and then check the sign of the derivative on the intervals between them.

f(x)=8x³-42x-48x + 4

f'(x) = 24x² - 90

Setting f'(x) = 0, we get

24x² - 90 = 0

24x² = 90

x =±  √3.75

So, the critical points are;

x = -1 and x = 7/2.

We can test the sign of f'(x) on the intervals as; (-∞, -1), (-1, 7/2), and (7/2, ∞).

f'(-2) = 72 > 0, so f is increasing on (-∞, -1).

f'(-1/2) = -25 < 0, so f is decreasing on (-1, 7/2).

f'(4) = 72 > 0, so f is increasing on (7/2, ∞).

Therefore, f is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

(b) To determine the local maximum and minimum values of f, we need to look at the critical points and the endpoints of the interval (-1, 7/2).

f(-1) = -49

f(7/2) = 139/8

f(-42/13) = 5608/2197

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The point estimators in your list are b. μ (estimated by the sample mean) and c. s (which is an estimator for σ, the population standard deviation).

A point estimator is a statistic that is used to estimate a population parameter. Out of the options provided, the following are point estimators:

b. μ (mu) - This symbol represents the population mean, which is a measure of central tendency for the entire population. A point estimator for μ would typically be the sample mean (x), calculated from a random sample taken from the population.

c. s - This symbol represents the sample standard deviation, which is a measure of how dispersed the data is from the sample mean. The sample standard deviation (s) is a point estimator for the population standard deviation (σ).

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Answer: To find the equation of a line passing through two points, we can use the point-slope form of the equation:

y - y1 = m(x - x1)

where (x1, y1) are the coordinates of one of the points, and m is the slope of the line.

To find the slope, we can use the formula:

m = (y2 - y1)/(x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

So, let's plug in the values we have:

m = (-8 - 3)/(-8 - (-10)) = (-8 - 3)/2 = -11/2

Now we can use either point to find the equation. Let's use (-10, 3):

y - 3 = (-11/2)(x - (-10))

y - 3 = (-11/2)x - 55/2

y = (-11/2)x - 49/2

So the equation of the line through (-10, 3) and (-8, -8) is:

y = (-11/2)x - 49/2.

Answer:

I would measure a 45° angle from the ground to the building. Then I would back up until the angle aligns with both the ground and the top of the building. I would measure the distance between me and the building to get the height of the building. Since the triangle is a 45, 45, 90 triangle, the distance between me and the building would be the same as from the ground to the top of the building.

Step-by-step explanation:

Sorry I'm not drawing a sketch for this but I'll put it very simply with a 45, 45, 90 triangle because that's easiest.

Identical at both ends, a prism is a three-dimensional solid object 145.0625 in2.

the outer face, outside, or exterior limit of a thing; topmost or uppermost layer or area. the six surfaces of a cube; any face of a body or entity.

Surface area; the size or area of the outside of the face. the outside, especially in contrast to the inside nature: to investigate something more deeply. surface, a group of points arranged in two dimensions (flat surface), a group of points arranged in three dimensions (curved surface), or the perimeter of any three-dimensional object.

In general, a surface is a continuous barrier that separates two areas of a three-dimensional space.

There are small cracks all over the surface of the picture. There are tiny cracks all over the surface of the picture. The surface of the bowl is gleaming.

145.0625 in2

180.625 in2

264.625 in2

290.125 in2

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Answer:

31.74 million

Step-by-step explanation:

Answer:

8,442 bottles of alchohol were donated.

Step-by-step explanation:

201×42= 8,442

The sum of the infinite geometric series infinite will be given as "S = a / (1 - r)".

The sum of an infinite geometric series exists only if the common ratio (r) is between -1 and 1 (excluding -1 and 1). In that case, the sum can be calculated using the formula:

S = a / (1 - r)

where 'a' is the first term of the series.

If the common ratio (r) is outside the range mentioned above, the infinite geometric series does not have a finite sum.

It's important to note that if the common ratio is between -1 and 1, the sum of the infinite geometric series will converge to a specific value, but it will not reach infinity.

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9514 1404 393

Answer:

  29 1/8 yards

Step-by-step explanation:

If the ref is distance 'd' from the goal line, after walking 41 3/4 yards to the same yard line at the other end of the field, he will also be at distance d from that goal line.

Hence the total ...

  d + 41 3/4 + d

will be the length of the field between goal lines, 100 yards.

  2d +41 3/4 = 100

  2d = 58 1/4 . . . . . . subtract 41 3/4

  d = 29 1/8 . . . . . . . divide by 2

The referee was 29 1/8 yards from the nearest goal line.

Answer:

29 1/8

Step-by-step explanation:

YOU WILL DO YOU GOOD LUCK

Jeff is approximately 517.26 feet away from the Sasquatch nest.


To find the distance between Jeff and the Sasquatch nest, we can use trigonometry. We have the angle and distance between Carl and Jeff, as well as the angles between Carl and the nest and Jeff and the nest. By creating a triangle with Carl, Jeff, and the nest as the vertices, we can use the law of cosines to determine the distance between Jeff and the nest.
Let's denote the distance between Carl and the nest as "x." Using the law of cosines, we can set up the equation:
x^2 = 540^2 + 517.26^2 - 2(540)(517.26)cos(180° - (69° + 52°))
Simplifying the equation, we get:
x^2 ≈ 540^2 + 517.26^2 - 2(540)(517.26)cos(59°)
Solving for x, we find:
x ≈ √(540^2 + 517.26^2 - 2(540)(517.26)cos(59°))
Evaluating the expression, we get:
x ≈ 517.26 feet.
Therefore, Jeff is approximately 517.26 feet away from the Sasquatch nest.

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1. The parse tree for the statement D = 24 * 21 + T + Y is:

       D

      /|\

     / | \

    *  +  +

   / \    \

  24  21   +

          / \

         T   Y

2. The parse tree for the statement C = 10(T + 11) / 40 is:

       C

      /|\

     /= \

    /   \

   /     \

  /       \

 *        40

/ \

10  +

  / \

 T  11

3. The parse tree for the statement A = 10 % 2 is:

      A

     /|\

    /= \

   /   \

  /     \

 %       2

/ \

10  2

1. For the statement D = 24 * 21 + T + Y, the parse tree represents the order of operations. First, the multiplication of 24 and 21 is performed, and the result is added to T and Y. The parse tree shows that the multiplication operation (*) is at the top, followed by the addition operations (+) and the variables T and Y.

2. For the statement C = 10(T + 11) / 40, the parse tree represents the order of operations and the grouping of terms. Inside the parentheses, the addition of T and 11 is performed, and then the result is multiplied by 10. Finally, the division by 40 is performed. The parse tree shows the multiplication operation (*) at the top, followed by the division operation (/) and the variables T and 11.

3. For the statement A = 10 % 2, the parse tree represents the modulo operation (%) between 10 and 2. The parse tree shows the modulo operation at the top, with the operands 10 and 2 as its children.

Parse trees provide a graphical representation of the syntactic structure of a statement or expression, showing the relationships between the operators and operands. They are useful for understanding the order of operations and the grouping of terms in mathematical expressions.

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The matching sets for the given orbitals are as follows:

A. 3, 2, -1

C. 5, 1, -1

G. 4, 0, -1

H. 3, 2, 3

In quantum mechanics, each electron in an atom is described by a set of quantum numbers that provide information about its energy level, orbital shape, and orientation. The quantum numbers include the principal quantum number (n), the azimuthal quantum number (l), and the magnetic quantum number (ml).

For the given orbitals, we need to match the orbital names with the sets of quantum numbers. Let's go through each option:

A. The quantum numbers 3, 2, -1 correspond to the orbital name 3dxy. The principal quantum number (n) is 3, the azimuthal quantum number (l) is 2, and the magnetic quantum number (ml) is -1. This describes a d orbital in the xy plane.

C. The quantum numbers 5, 1, -1 correspond to the orbital name 5py. The principal quantum number (n) is 5, the azimuthal quantum number (l) is 1, and the magnetic quantum number (ml) is -1. This describes a p orbital oriented along the y-axis.

G. The quantum numbers 4, 0, -1 correspond to the orbital name 4pz. The principal quantum number (n) is 4, the azimuthal quantum number (l) is 0, and the magnetic quantum number (ml) is -1. This describes a p orbital oriented along the z-axis.

H. The quantum numbers 3, 2, 3 correspond to the orbital name 3dxyz. The principal quantum number (n) is 3, the azimuthal quantum number (l) is 2, and the magnetic quantum number (ml) is 3. This describes a d orbital with complex orientation in space.

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Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.

In plan A,

    Plans for saving = $500

  Amount of saving each week = $20

∴ Number of weeks needed to make goal = (500 ÷ 20) (by using division)

                                                                       = 25

In plan B,

    Plans for saving = $500

   Amount of saving each week = $30

∴ Number of weeks needed to make goal = (500 ÷ 30) (by using division)

                                                                       = 17

In plan C,

    Plans for saving = $500

   Amount of saving each week = $40

∴ Number of weeks needed to make goal = (500 ÷ 40) (by using division)

                                                                       = 13

In plan D,

    Plans for saving = $500

   Amount of saving each week = $50

∴ Number of weeks needed to make goal = (500 ÷ 50) (by using division)

                                                                       = 10

So, Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.

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Answer:

x = 10

Step-by-step explanation:

Perimeter of a triangle = the sum of the three sides.    

In an isosceles the legs are equal (2x - 6) and the base is x

Perimeter = (x) + (2x - 6) + (2x - 6)

          38  = 5x - 12

        38 + 12 = 5x

            50 =   5x

              \(\frac{50}{5} = \frac{5x}{5}\)

               10 = x

There is sufficient evidence to conclude that the proportion of sales he makes to women is more than 75%.

At the 1% significance level, the critical value for a one-tailed test with 149 degrees of freedom is 2.326. Since the p-value of 0.0001 is much smaller than 0.01, we reject the null hypothesis that the proportion of sales made to women is equal to 0.75. Therefore, we can conclude that there is sufficient evidence to suggest that the proportion of sales made to women is more than 75%.

Note that we cannot conclude that the proportion of sales made to women is more than 50% because the null hypothesis assumes that the proportion is exactly 75%, not 50%. Furthermore, we have only tested the hypothesis that the proportion is greater than 75%, not whether it is greater than 50%. Therefore, the correct answer is: "There is sufficient evidence to conclude that the proportion of sales he makes to women is more than 75%."

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Answer: x = 5

Step-by-step explanation: it is 392079∞¢•¶¶§∞¶∞§¶6

The form of the likelihood function to proceed with deriving the conditional MLE estimator of θ.

what is decision boundaries.?

Decision boundaries refer to the dividing lines or regions that separate different classes or categories in a classification problem. They are determined based on the features or attributes of the data and the classification algorithm being used. The decision boundary serves as a threshold or criterion for assigning new or unseen data points to specific classes based on their feature values.

To derive the decision boundaries in the given case, more specific information or context is needed. Decision boundaries are determined based on the specific classification or grouping criteria and the underlying data distribution. Please provide additional details or specifications regarding the problem or classification task.

Regarding the conditional maximum likelihood estimator (MLE) of θ, more information is required to proceed with the derivation. The MLE involves finding the parameter value that maximizes the likelihood function based on the observed data and any relevant assumptions or models. Please provide the specific context, assumptions, and the form of the likelihood function to proceed with deriving the conditional MLE estimator of θ.

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