A real estate agent has surveyed houses in twenty nearby zip codes in an attempt to put together a comparison for a new property that she would like to put on the market. The 1057 houses she surveyed have a mean price of ​$169 comma 400​, with a standard deviation of $ 68 comma 438. The mean living area is 2058 sq​ ft, with a standard deviation of 790 sq ft. Which is more​ unusual, a house in that market that sells for ​$300 comma 000 or a house that has 3000 sq ft of living​ area? Explain. Choose the correct answer below. The house that sells for ​$300 comma 000 has a​ z-score of nothing and the house with 3000 sq ft has a​ z-score of nothing. ​Thus, a house in that market that ▼ sells for $ 300 comma 000 has 3000 sq ft of living area is more unusual than a house that ▼ sells for $ 300 comma 000 has 3000 sq ft of living area .

Answer:

68°

Step-by-step explanation:

PRQ = SRQ gives:

3x-8 = 2x+6

x = 6+8 = 14

So PRQ = SRQ = 34

and

PRS = PRQ+SRQ = 68

Answer:

use the equation (x,y)---->(-y,x)

(-2,3)----> (3,-2)

The image of the point (-2,3) after a rotation of 90° counterclockwise about the origin will be (3, 2).

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The point (-2, 3) is in the second quadrant. After a rotation of 90° counterclockwise about the origin, the point will be in the first quadrant.

After the rotation, the coordinate of the points will get swapped and in the first quadrant, the value of the coordinate will be positive.

The image of the point (-2,3) after a rotation of 90° counterclockwise about the origin will be (3, 2).

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The savings plan balance after 18months is $8,638

Future value (FV) is the value of a current asset at a future date based on an assumed rate of growth.

The formula for this calculation is

Future Value = Payment • [((1 + I)n - 1)/I],

where I = interest rate, and n = periods.

In this case, P = $300/month,

                    n = 18 months, and

                     I = 6% (0.09) per year.

Since the information involves months instead of years, it is necessary to divide the interest rate by 12 to obtain the monthly rate.

So, 0.09 ÷ 12 = 0.0075

We can then enter the information into our formula to obtain:

From the formula Future Value = Payment • [((1 + I)n - 1)/I],

FV = $300 x [((1 + 0.0075)18 - 1)/.0075]

FV = $300 x [((1.0075)18 - 1)/.0075]

FV = $300 x [(1.144 - 1)/.005]

FV =$800 x (0.144/0.005)

FV = $800 x 28.792

FV = $8,638

Hence, the savings plan balance after 18 months will be $8,638

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Answer:

B) 9  3/8 in

Step-by-step explanation:

The scale model of the model is 1/2 in for 4 feet, or 1 in for 8 feet.

The real light house is 75 feet. Divide 75 with 8:

75 feet/8 feet per inch = 9.375, or 9 3/8 inches.

B) 9  3/8 in. is your answer.

~

Answer:

P = 2W +2L

step is keep 2L in one side of equation , and move every thing else to the other side.

In moving any quantity from one side to other, change the sign. ( equivalent of adding or subtracting equal                                                                                                  quantity from both sides of equation).

2L = P - 2W

divide both sides by 2:

L = p/2 - w

Step is the same as solving  X in equation of  8 = 2X + 16

2X = 8 -16 = 8

  X =4 . But, here you solve one variable in terms of other variables.

Step-by-step explanation:

Answer:

D. 5/24 ft²

Step-by-step explanation:

A = LW

A = 5/8 ft × 1/3 ft

A = 5/24 ft²

Answer: The probability that both events A and B will occur is 5/18 or 0.28.

Step-by-step explanation:

To determine the probability that both events A and B will occur, we need to calculate the probabilities of each event separately and then multiply them together.

Event A: The probability of rolling a 5 or 6 on the first die is 2 out of 6 (since there are two favorable outcomes out of six possible outcomes on a fair six-sided die). Therefore, the probability of event A is 2/6 or 1/3.

Event B: The probability of not rolling a 1 on the second die is 5 out of 6 (since there are five favorable outcomes out of six possible outcomes). Therefore, the probability of event B is 5/6.

To find the probability that both events A and B occur, we multiply the probabilities:

Probability(A and B) = Probability(A) * Probability(B) = (1/3) * (5/6) = 5/18.

The number of hours where the fees for both studios would be the same is 5 hours.

From the information illustrated Midwest charges a $10 signup fee and $32 per hour for rental fees. This will be 10 + 32h.

Big & Bad charges only $20 each hour plus a $70 registration fee. This will be 70 + 20h.

Let h = number of hours

The equation will be:

10 + 32h = 70 + 20h

Collect like terms

32h - 20h = 70 - 10

12h = 60

Divide

h = 60/12

h = 5

The number of hours is 5.

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Answer:

ΔFGH≅ΔYZX

Step-by-step explanation:

Answer:

volume of sphere=4/3πr³=4/3×3.14×6²=164.16cm³

Step-by-step explanation:

It is not clear from the given information which angles and sides are being referred to as "107⁰", "-x-8", "-42-7", and "3y-1". However, we can use some properties of rhombuses to solve for x, y, and z.

Opposite angles in a rhombus are equal. Therefore, if one angle is 107⁰, then the opposite angle is also 107⁰.

The diagonals of a rhombus are perpendicular bisectors of each other. This means that they intersect at a right angle and divide each other into two equal parts.

The diagonals of a rhombus bisect each other's angles. This means that the angles formed by each diagonal with the sides of the rhombus are equal.

Using these properties, we can set up some equations to solve for x, y, and z:

Let's assume that "-x-8" and "-42-7" are the lengths of the diagonals of the rhombus, and that "3y-1" is the length of one of the sides.

Since the diagonals bisect each other's angles, we know that the angles formed by each diagonal with the side of the rhombus are equal. Let's call each of these angles "z":

-z + 107⁰ + z = 180⁰ (sum of angles in a triangle)

107⁰ = 180⁰ - 2z

2z = 73⁰

z = 36.5⁰

Now let's use the fact that the diagonals are perpendicular bisectors of each other:

(-x-8)/2 = (-42-7)/2

-x-8 = -49

-x = -41

x = 41

Finally, let's use the fact that the sides of a rhombus are equal:

-x-8 = 3y-1

41-8 = 3y-1

33 = 3y

y = 11

Therefore, the values of x, y, and z in the rhombus are:

x = 41

y = 11

z = 36.5⁰

Answer:

0.4 hours

Step-by-step explanation:

or 24 minutes :D

The angle m∠J  in the right angle triangle is 58.1 degrees.

One of the angle of a right tangle triangle is 90 degrees. The sum of

angles in a triangle is 180 degrees.

Therefore, the side length LK can be found using Pythagoras's theorem and the angle can be found using trigonometric ratios.

Hence,

tan ∠J = opposite / adjacent

tan ∠J = 15.1 / 9.4

∠J = tan⁻¹ 1.60638297872

∠J = 58.0909229196

Therefore,

m∠J = 58.1 degrees

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Answer:

  94.3

Step-by-step explanation:

You want to know how to fill in the proportion associated with the question, "What is 115% of 82?"

The diagram is intended to help you match parts of the question to parts of the proportion. The attachment shows the intended relation.

The solution is found by multiplying both sides by 82:

  (x/82)·82 = (115/100)·82

  x = 94.3

The question can also be written as a statement:

  "what" is 115% of 82

When written as an equation, "is" means "equals", and "of" means "times":

  what = 115% × 82

Of course, you can use any variable name of your choosing in place of "what". In your diagram, that is "x". And, you know how to write a percentage as a fraction or decimal, so this becomes ...

  x = 115/100 × 82 = 1.15 × 82

All that remains is to evaluate this expression.

  x = 1.15 × 82 = 94.3

So, the answer to the question is ...

  94.3 is 115% of 82.

Answer:

The given complex number is (-2.5 + i4.2).

To express it in exponential form, we need to find the modulus (r) and argument (θ) of the complex number.

The modulus is given by:

|r| = √((-2.5)^2 + (4.2)^2) = √(6.25 + 17.64) = √23.89 ≈ 4.888

The argument is given by:

θ = tan⁻¹(4.2/(-2.5)) = tan⁻¹(-1.68) ≈ -1.03 radians

Therefore, the exponential form of the complex number is:

(-2.5 + i4.2) = 4.888e^(-i1.03)

As per the given data, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.

In mathematics, the intersection of two sets is a set containing all elements that are members of both sets.

In symbols, the intersection of two sets A and B is denoted by A ∩ B, and it contains all elements that belong to both A and B.

The intersection of two sets contains only the elements that are present in both sets. In this case,

R ∩ S = {x | x > 0 and x < 3}

The integers that are present in this set are 1 and 2.

Therefore, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.

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Answer:

72ft^2

Step-by-step explanation:

6×4=24

×3

=72ft^2

72 cubic feet

Volume is the measurement of how much space an object occupies.

Volume of a Rectangular Prism

The volume of a rectangular prism can be represented through the formula:

This formula is the length times width times height. The question gives us these 3 values. Additionally, since you are multiplying 3 dimensions by each other the answer will be in cubic units.

Solving for Volume

Now, we can plug the given values into the formula. This gives us the expression:

Multiply these together to 72. Make sure to include the units, feet, and to make it cubic like all volume measurements. Thus, the final answer is 72 cubic feet.

Answer:

a=(-4,0)

b=(2,3)

c=(-5,1)

Step-by-step explanation:

So since you are replicating it on the y-axis, you won't need to change anything on the x axis. Just conut until the centerpoint and replicate that on the y axis

The coordinates of p which divides the line AB in ratio 3:1 is (3.75, 3.5).

The section formula provides the coordinates of a point that, either internally or externally, divides the line connecting two locations in a ratio.

P ( x , y ) = ( c ⋅ m + a ⋅ n m + n , d ⋅ m + b ⋅ n m + n ) .

Ratio of line = 3:2

m and n represents the ratios 3:2

let the coordinates of p(x, y).

using Section formula

= [ (3(4) + 1(3) / (3+1), 3(3) + 1(5) / 3+ 1]

= (15/ 4, 14/4)

= (3.75, 3.5)

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⇒\(3x^{2} -13x-10\\=3x^{2} -15x+2x-10\\=(3x^{2} -15x)+(2x-10)\\=3x(x-5)+2(x-5)\\=(x-5)(3x+2)\)

⇒The answer is  (x-5)(3x+2)

Answer:

Step-by-step explanation:

Given:

Find the cos A first:

Use the law of cosines:

Answer:

\(25x-1\)

Step-by-step explanation:

\(Perimeter\ is\ just\ the\ total\ length\ of\ the\ boundary\ of\ a\ polygon.\\It\ can\ be\ calculated\ by\ just\ adding\ all\ the\ corresponding\ sides\ of\ a\ polygon\ together.\\Here,\\Length\ of\ the\ 1st\ side=(3x+7)\\Length\ of\ the\ 2nd\ side=20x\\Length\ of\ the\ 3rd\ side=2(x-4)\\=2x-8\\Hence,\)\(The\ perimeter\ of\ the\ triangular\ park=(3x+7)+20x+2(x-4)\\=3x+7+20x+2x-8\\=3x+20x+2x+7-8\)

=25x-1

Answer: 2/7

Step-by-step explanation:

You take the top numbers and multiply them and then take the bottom numbers and multiply them and then you simplify.

1/3 × 6/7 = 6/21 = 2/7

To multiply fractions we'll multiply numerator with the numerator and denominator with the denominator and simplify (1/3 × 6/7) = 6/21 = 2/7.

Fractions are written in p/q form,where q ≠ 0 as it would become undefined.Fractions are of two types one is proper fraction and another one is improper fraction.

A fraction is is the form of numerator divided by the denominator.

To multiply two or more fraction we simply have to multiply numerator with the numerator and denominator with the deominator to combine them into one fraction and then we simplify the combined fraction until both the numerator and the denominator has HCF of 1.

Given (1/3 × 6/7) which is,

= 6/21.

= 2/7.

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Answer:

7

Step-by-step explanation:

add 4 and -4 will get you zero (so you're out of the negatives) add 3 to reach the 3 and don't forget to include to 4... -4+7 =3 or 7-4 =3

The correct equation to representing the temperature y, in degrees Fahrenheit, at x hours after sunset will be;

⇒ y = - 4°x + 0°

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

At 2 hours before sunset, the temperature is 0°F.

And,  At 2 hours after sunset, the temperature is −4°F.

Now,

Let the temperature in degrees Fahrenheit = y

So, We can formulate;

⇒ y = - 4°x + 0°

Thus, The correct equation to representing the temperature y, in degrees Fahrenheit, at x hours after sunset will be;

⇒ y = - 4°x + 0°

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