A real estate agent works on a 8% commission. What is her commission on a house that she sold for $475,400?

Answer:

A

Step-by-step explanation:

Translates up 2 right 3.

Rotates 180 degrees.

Answer:

\((cosA + cos B)^2 + (sin A +sinB)^2 \\\\= cos^2A + cos^2B + 2cosA cosB + sin^2A +Sin^2B +2sinAsinB\\\\=(cos^2A + sin^2 A) + (cos^2B +sin^2B) +2cosAcosB + 2sinAsinB\\\\= 1 + 1 + 2cosAcosB + 2sinAsinB\\\\=2 + cos(A+B)+cos(A-B) + cos(A-B) -cos(A+B)\\\\=2 + 2cos(A-B)\\\\=2(1 + cos(A-B))\\\\=2\times 2 cos^2(\frac{A-B}{2})\\\\=4cos^2(\frac{A-B}{2})\)

Hence proved .

Examining the figure the missing values can be found to be

examining the figure, it can be deduced that

z/2 = 10 (opposite side of a parallelogram)

z = 20

The figure form similar triangles and the ratios as mentioned are equal

z/10 = 30/y = 40/x

substituting z = 20

20/10 = 30/y

solving for y

20y = 300

y = 15

solving for x

30/y = 40/x

substituting y = 15

30/15 = 40/x

30x  = 40 * 15

x = 20

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Answer:

20

Step-by-step explanation:

5 x 4 = 20

The z-score of -1.6 is less than 2.00 but greater than -2.00.

Hence, we can conclude that the value is not unusual.

The correct answer is: -1.6; not unusual.

When we are given a test score of 48.4 on a test that has a mean of 66 and a standard deviation of 11,

we need to find the corresponding z-score and determine whether the value is unusual or not.

The formula for calculating z-score is:

z = (x - μ) / σ

Where, z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

Substituting the given values in the formula, we get: z = (48.4 - 66) / 11z = -1.6

Therefore, the z-score corresponding to the given value is -1.6.

Now, we need to determine whether this value is unusual or not.

A score is considered unusual if its z-score is less than -2.00 or greater than 2.00.

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Answer:

x ≈ 5

Step-by-step explanation:

Using the rule of logarithms

\(log_{b}\) x = n ⇒ x = \(b^{n}\)

Given

\(log_{10}\) x ≈ 0.701 , then

x = \(10^{0.701}\) ≈ 5

Answer:         A tiling of regular polygons (in two dimensions), polyhedra (three dimensions), or polytopes ( dimensions) is called a tessellation. Tessellations can be specified using a Schläfli symbol. The breaking up of self-intersecting polygons into simple polygons is also called tessellation.

                                     Hope this helps!

In a square pyramid, the lateral surface area is given by the expression:

Then, the perimeter of the base is the sum of all sides:

Pb=4+4+4+4=16

Slant height of pyramid is 5 ft, then the lateral surface area is:

Answer: axiom

Step-by-step explanation:

Answer:

87.5%

Step-by-step explanation:

Total parts = 8

Part 6 = 1

Parts not 6 = 7

P(not 6) = 7/8

In %age:

=> 87.5%

Answer:

87.5%

Step-by-step explanation:

The numbers not 6 on the spinner are 2, 3, 4, 5, 7, 8, and 9.

7 numbers out of 8 are not 6.

7/8 = 0.875

P(not 6) = 87.5%

Answer:

0

Step-by-step explanation:

Step 1 - Expand bracket:

\(-3(x - 14) + 9x = 6x + 42\\-3(x) + -3(-14) + 9x = 6x + 42\\-3x + 42 + 9x = 6x + 42\)

Step 2 - Combine like terms:

\(-3x + 42 + 9x = 6x + 42\\42 + 6x = 6x + 42\)

As both sides are the same, the equation equals 0.

\(42 + 6x = 6x + 42\\42 - 42 = 6x + 42 - 4x\\6x = 6x\\6x - 6x = 6x - 6x \\0 = 0\\\)

Hope this helps!

The rectangle's circumference is 27+ (3/2) fee and one of its sides is a semicircle.

We can start by finding the perimeter of the rectangle, which is simply the sum of the lengths of all four sides:

Perimeter of rectangle = 2(length + width) = 2(12 + 3) = 30 feet

Next, we need to find the perimeter of the semicircle.

The diameter of the semicircle is equal to the width of the rectangle, which is 3 feet. The formula for the perimeter of a semicircle is:

Perimeter of semicircle = (π/2) x diameter + diameter

Plugging in the values, we get:

Perimeter of semicircle = (π/2) x 3 + 3 = (3/2)π + 3

Now, we can add the perimeter of the semicircle to the perimeter of the rectangle to get the total perimeter:

Total perimeter = Perimeter of rectangle + Perimeter of the semicircle- 2*diameter of the semicircle

= 30 + (3/2)π + 3 - 3*2

= 27+ (3/2)π

Therefore, the perimeter of the rectangle with a semicircle on one side is 27+ (3/2)π feet, or approximately 31.71 feet (rounded to two decimal places).

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The function can be defined as  price = 6x

It will cost $150 to buy 25 reams of paper.

The domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.

The range of the function is all non-negative real numbers, since the price cannot be negative.

Fir 25 items, price = 6(25) = $150

It will cost $150 to buy 25 reams of paper.

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Answer:

1, 2, 4, 19, 38, 76

Answer:

1

Step-by-step explanation:

a fourth is 1/4 meaning Fourth = 1/4

Hello!

The distance, d, is less than 200 miles.

B. d > 200

Answer:

2375 square inches

Step-by-step explanation:

To calculate the amount of glass required to make the trapezoid-shaped car windshield, we need to find the area of the trapezoid.

The formula to calculate the area of a trapezoid is:

Area = (1/2) × (sum of bases) × height

In this case, the bases of the trapezoid are 55 inches and 70 inches, and the height is 38 inches.

Area = (1/2) × (55 + 70) × 38

= (1/2) × 125 × 38

= 0.5 × 125 × 38

= 2375 square inches

Therefore, it would take 2375 square inches of glass to make the trapezoid-shaped car windshield.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

The answer is 2$

Step-by-step explanation:

To get each price of the ball divide the total cost of the purchase divide by the quantity of items.

The Number of treatments in the experiment described the number of independent variables in the experiment, hence, the number of treatment is 4.

Therefore, the number of treatment in the experiment is 4.

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Answer:

19%

Step-by-step explanation:

Bottles manufactured in march = 4100×107% = 4387 bottles

bottles manufactured in April= 4387+500 = 4887 bottles

difference in bottles from Feb to April= 4887-4100 =787 bottles

percentage increase from Feb to April= (787/4100)×100 = 19.2%

rounded off= 19%

The correct statement regarding the test of the hypothesis is given as follows:

B. The p-value is less than the significance level, and the null hypothesis is rejected. There is convincing evidence to suggest the true proportion of stitching defects is not 0.08.

Depends on if the p-value is less or more than the significance level:

The parameters for this problem are given as follows:

Hence the null hypothesis is rejected, as 0.03 < 0.05, and the conclusion is that the proportion is different of 0.08, which is the test made for this problem.

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Answer: Sarah found 10 shark teeth(3 + 7 = 10).

John found 5 shark teeth(10/2 = 5).

The total money they earned was $5 x 15 = $75.

Explanation;

Given that:

5 x 15 = 75, therefore the total money Sarah and John earned was $75.

The few sentences to end Sarah's story are: Sarah found 10 shark teeth for $50. John found 5 shark teeth for $25. They got $75 from their neighbor in total.

Answer:

Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.

Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.

Part 1: Writing Expressions

Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.

25(10j + 18 + 5j)

Step-by-step explanation:

Answer:

$15

Step-by-step explanation:

60

-45

15

i think but it should be right

\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ J(\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad K(\stackrel{x_2}{10}~,~\stackrel{y_2}{-5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 10 +2}{2}~~~ ,~~~ \cfrac{ -5 +1}{2} \right) \implies \left(\cfrac{ 12 }{2}~~~ ,~~~ \cfrac{ -4 }{2} \right)\implies (6~~,~-2)\)

Multiplying the length by the depth and height results in the m3 cubic metros calculation.

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This means that 5% of the 10-1/2-month-old baby boys in the reference population weigh 16.7 pounds or less, and 95% of these baby boys weigh 16.7 pounds or more.

The determination is based on the definition of a percentile. A percentile is a value below which a certain percentage of the data falls. So, in this case, if a weight of 16.7 pounds is at the 5th percentile for 10-1/2-month-old baby boys, then 5% of the baby boys in the reference population have a weight of 16.7 pounds or less. This also means that the remaining 95% of the baby boys in the reference population have a weight of more than 16.7 pounds.

The calculation of percentiles is based on the ranking of the data set. The data is first sorted in ascending order and then divided into 100 equal parts, with each part representing a percentile. The value at each percentile is the value below which a certain percentage of the data falls.

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Answer:

y=3x+5

Step-by-step explanation:

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Answer:

y=mx+c

Step-by-step explanation:

-5/y=3x meaning that y=mx+c, hope this helps :)

Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.

Let's solve the problem step by step.

Let:

x = number of $10 tickets sold

y = number of $20 tickets sold

z = number of $30 tickets sold

From the given information, we can form the following equations:

Equation 1: x + y + z = 3318 (Total number of tickets sold)

Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)

Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)

We can use these three equations to solve for the values of x, y, and z.

First, let's substitute Equation 2 into Equation 1:

x + (x + 109) + z = 3318

2x + 109 + z = 3318

2x + z = 3209 (Equation 4)

Now, let's substitute the value of y from Equation 2 into Equation 3:

10x + 20(x + 109) + 30z = 61760

10x + 20x + 2180 + 30z = 61760

30x + 30z = 59580

x + z = 1986 (Equation 5)

We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.

Multiplying Equation 4 by 30, and Equation 5 by 2, we get:

60x + 30z = 96270 (Equation 6)

2x + 2z = 3972 (Equation 7)

Now, subtract Equation 7 from Equation 6:

(60x + 30z) - (2x + 2z) = 96270 - 3972

58x + 28z = 92298

Simplifying, we have:

29x + 14z = 46149 (Equation 8)

Now, we can solve Equations 5 and 8 simultaneously:

x + z = 1986 (Equation 5)

29x + 14z = 46149 (Equation 8)

Multiplying Equation 5 by 14, and Equation 8 by 1, we get:

14x + 14z = 27804 (Equation 9)

29x + 14z = 46149 (Equation 8)

Now, subtract Equation 9 from Equation 8:

(29x + 14z) - (14x + 14z) = 46149 - 27804

15x = 18345

Divide both sides of the equation by 15:

x = 18345 / 15

x = 1223

Substituting the value of x into Equation 5, we can find z:

1223 + z = 1986

z = 1986 - 1223

z = 763

Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:

1223 + y + 763 = 3318

y + 1986 = 3318

y = 3318 - 1986

y = 1332

Therefore, the solution to the problem is:

x = 1223 (number of $10 tickets sold)

y = 1332 (number of $20 tickets sold)

z = 763 (number of $30 tickets sold)

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Answer:

5x+7

Step-by-step explanation:

2x + 6 + ( 3x + 1 )

2x + 6 + 3x + 1

5x +7