An investor is planning on selling some property that she recently purchased. A real estate consulting firm determines that there is a 50% chance of making a profit of $50,000, a 30% chance of breaking even, and a 20% chance of suffering a $60,000 loss. Determine the expected value of the sale

The perimeter of the triangle formed by joining the midpoints of the sides of the original triangle is 3.

To find the perimeter of the triangle formed by joining the midpoints of the sides of the original triangle, we first need to find the midpoints. The midpoint of a side of a triangle is the point that is exactly halfway between the endpoints of that side.

Using the formula for the midpoint of a line segment ((x1+x2)/2, (y1+y2)/2), we can find the midpoints of the sides with lengths 9, 12, and 15:

Midpoint of the side with length 9: ((9+12)/2, (0+0)/2) = (10.5, 0)

Midpoint of the side with length 12: ((9+15)/2, (0+0)/2) = (12, 0)

Midpoint of the side with length 15: ((12+9)/2, (0+0)/2) = (10.5, 0)

Note that all three midpoints lie on the x-axis.

Now we can find the lengths of the sides of the triangle formed by joining the midpoints. These sides are the line segments connecting the midpoints, and their lengths are equal to the distances between the midpoints:

Length of the side connecting (10.5, 0) and (12, 0):

d = sqrt((12-10.5)^2 + (0-0)^2) = 1.5

Length of the side connecting (10.5, 0) and (10.5, 0):

d = sqrt((10.5-10.5)^2 + (0-0)^2) = 0

Length of the side connecting (12, 0) and (10.5, 0):

d = sqrt((10.5-12)^2 + (0-0)^2) = 1.5

So the triangle formed by joining the midpoints of the sides of the original triangle is an isosceles triangle with two sides of length 1.5 and one side of length 0. The perimeter of this triangle is:

Perimeter = 1.5 + 1.5 + 0 = 3

Therefore, the perimeter of the triangle formed by joining the midpoints of the sides of the original triangle is 3.

To know more about perimeter of triangle , refer here :

https://brainly.com/question/29507476#

#SPJ11

To find the price Justin would have to pay, he should multiply the prices on

the tags by 0.89 in one step.

The price Justin would have to pay before tax after applying an 11%

discount, he needs to multiply the price on the tags by a certain number.

Let's denote the price on the tag as P.To find the price after the 11%

discount, Justin would multiply the price on the tag by (100% - 11%), or 0.89.

This is because the discount of 11% is equivalent to paying 89% of the

original price.

Mathematically, the calculation would be:

Price after discount = P * 0.89

To know more about discount  refer here https://brainly.com/question/31430480# #SPJ11

The region that contains viable solutions to the systems of inequalities is region H

From the question, we have the following parameters that can be used in our computation:

This means that the region viable solutions to the systems of inequalities is the region below the inequallity line

In this case, the region is the region G

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

The characteristics of the hyperbola with equation (x+12)²/36-(y-15)²/100=1 are:

Comparing the given equation with the standard form, we have:

(h, k) = (-12, 15)

a² = 36

b² = 100

Taking the square root of a² and b², we get:

a = 6

b = 10

c² = 36 + 100

c² = 136

c ≈ 11.66

The foci of the hyperbola are located at (-12, 15 + 11.66) and (-12, 15 - 11.66), which are approximately (-12, 26.66) and (-12, 3.34).

Learn more about hyperbola on

https://brainly.com/question/26250569

#SPJ1

The length of the hypotenuse of each right triangle to the nearest tenth of an inch is 24 inches.

Here, two right triangles with legs each measuring 17 inches are created when the square piece of metal is sliced diagonally.

We will apply the Pythagorean Theorem to find the length of the hypotenuse.

The Pythagorean theorem states that square of hypotenuse is equal to the sum of the squares of opposite side and adjacent side.

Now,

[tex]Hypotenuse^{2} = 17^{2}+ 17^{2} \\Hypotenuse^{2} =289+289\\Hypotenuse^{2} =578\\Hypotenuse=\sqrt{ 578}\\Hypotenuse=24.04[/tex]

⇒ Hypotenuse ≈ 24 inches (to the nearest tenth of an inch)

Therefore, the length of the hypotenuse of each right triangle to the nearest tenth of an inch is 24 inches.

To learn more about the Pythagorean theorem, refer:

brainly.com/question/14930619

Answer:

mail

Step-by-step explanation:

skating Dinero broke 1p revision yahoo d10

Approximately 378 people can fit in a passenger car with a length of 70 feet and a width of 9 feet.

To determine the number of people who can fit in a passenger car with a length of 70 feet and a width of 9 feet, we need to consider the available space inside the car and the amount of space required per person.

Assuming that the passenger car is a rectangular box shape, the volume of the car can be calculated as follows:

Volume of car = Length x Width x Height

Since we are only interested in the number of people who can fit in the car, we will assume a standard height of 6 feet for simplicity. Therefore, the volume of the car can be calculated as follows:

Volume of car = 70 feet x 9 feet x 6 feet

Volume of car = 3,780 cubic feet

Next, we need to determine the amount of space required per person. This can vary depending on the seating arrangement and the size of the individuals, but as a general rule, we can estimate that each person requires approximately 10 to 12 cubic feet of space in a seated position.

Assuming we use the lower end of that estimate and allocate 10 cubic feet of space per person, we can calculate the number of people who can fit in the car as follows:

Number of people = Volume of car / Space per person

Number of people = 3,780 cubic feet / 10 cubic feet per person

Number of people = 378 people

Therefore, if we assume a standard height of 6 feet and allocate 10 cubic feet of space per person, approximately 378 people can fit in a passenger car with a length of 70 feet and a width of 9 feet. However, it is important to note that this is just an estimate and the actual number of people who can fit in the car will depend on factors such as the seating arrangement and the size of the individuals.

Learn more about volume

brainly.com/question/1578538

#SPJ11

The domain of (g o f o g)(x),  where "o" denotes composition of functions is the set of all x in F such that f(x) is in the domain of g, and g(f(x)) is in the domain of g.

To determine the domain of the function (g o f o g)(x), we need to consider the domains of the functions g(x) and f(x), as well as the composition of these functions.

Let's assume that the domain of g(x) is G and the domain of f(x) is F.

Since (g o f o g)(x) means that we apply the function g to f(x), and then apply g to the result again, we need to ensure that the output of f(x) is a valid input for g(x).

Therefore, the domain of (g o f o g)(x) is the set of all values of x in F such that g(f(x)) is in G, and g(y) is in G for all y in the range of g(f(x)).

In other words, the domain of (g o f o g)(x) is the set of all x in F such that f(x) is in the domain of g, and g(f(x)) is in the domain of g.

Thus, the domain of (g o f o g)(x) is the set of all x in F such that f(x) is in the domain of g, and g(f(x)) is in the domain of g.

To know more about domain:

https://brainly.com/question/29452843

#SPJ4

Answer:

Yes

Step-by-step explanation:

9/25

√9/√25 = 3/5 = 0.6

so it is a rational number because it has an integer as a denominator also because the decimal is not reoccurring

Answer: Yes

Step-by-step explanation:

Yes.

9/25 = .36  

Because the decimal stop it is rational

Only decimals that have no pattern and go on infinitely then it is irrational like [tex]\pi[/tex]  or √7   if you plug those into a calculator they go on forever and have no pattern

The following is the value of x and mBD: x = 83/6 and mBD⌢ = 83°.

Given circle E (⊙E) with diameter AC, we have the following information:

1. m∠CED = (3x)°
2. m∠BEC = (3x + 2)°
3. m∠AEB = (6x + 7)°

Since AC is the diameter of the circle, the inscribed angle ∠AEB is subtended by the diameter and thus forms a semicircle. In a semicircle, the inscribed angle is always a right angle. Therefore, m∠AEB = 90°. We can now set up the equation:

(6x + 7)° = 90°

Solving for x:
6x = 83
x = 83/6

Now, we need to find the measure of arc BD (mBD⌢). We can do this by finding the measure of angle BEC, as the measure of an inscribed angle is half the measure of its intercepted arc.

m∠BEC = (3x + 2)° = (3(83/6) + 2)° = (83/2)°

Since the measure of an inscribed angle is half the measure of its intercepted arc:

mBD⌢ = 2(m∠BEC) = 2(83/2)° = 83°

So, x = 83/6 and mBD⌢ = 83°.

To learn more about diameter, refer below:

https://brainly.com/question/5501950

#SPJ11

To determine if x and y are proportional, we need specific values or a proportional relationship equation.

To determine whether x and y are proportional, we need to compare the ratio of their values. If the ratio of x to y remains constant as x and y vary, then they are proportional.

Mathematically, if x/y = k, where k is a constant, then x and y are proportional. However, without specific values or equations, it is not possible to ascertain their proportionality.

Without further information, we cannot determine whether x and y are proportional. Additional context, such as specific values or an equation relating x and y, is needed to make a conclusive statement about their proportionality.

Learn more about ratio
brainly.com/question/19257327
#SPJ11

Nick bought 11 apples for $9.79.

Nick paid $6.23 for 7 apples, and he bought 9 apples for $9.79.

Nick bought apples at a farmers market where 5 apples cost $4. 45. If Nick bought 7 apples, he paid $. To find the cost of one apple, we divide $4.45 by 5, which gives us $0.89 per apple.

For 7 apples, we multiply $0.89 by 7, which gives us $6.23.

To find the number of apples Nick bought for $9.79, we set up a proportion:

5 apples/$4.45 = x apples/$9.79

Solving for x, we get x = (9.79 × 5) / 4.45 ≈ 11

Therefore, Nick bought 11 apples for $9.79.

For more questions like Cost click the link below:

https://brainly.com/question/31041508

#SPJ11

The volume of the solid is 32/15 cubic units.

To find the volume of the solid, we need to integrate the area of each square cross section perpendicular to the x-axis over the interval [a, b], where a and b are the x-coordinates of the intersection points of f(x) and g(x):

First, we find the intersection points of the two functions:

x²+1 = 2x+1

x² - 2x = 0

x(x-2) = 0

x = 0 or x = 2

So, a = 0 and b = 2.

Next, we find the side length of each square cross section. Since the cross section is a square, the side length is equal to the difference between the y-coordinates of the functions f(x) and g(x) at each x:

Side length = f(x) - g(x) = (x²+1) - (2x+1) = x² - 2x

Finally, we integrate the area of each square cross section over the interval [0, 2] to get the volume of the solid:

V = ∫[0,2] (x² - 2x)² dx

V = ∫[0,2] (x⁴- 4x³ + 4x²) dx

V = [1/5 x⁵ - 1 x⁴ + 4/3 x³] [0,2]

V = (1/5 x⁵ - 1 x⁴ + 4/3 x³)|[0,2]

V = (1/5(2⁵) - 1(2⁴) + 4/3(2³)) - (1/5(0⁵) - 1(0⁴) + 4/3(0³))

V = (32/5 - 16/3)

V = 32/15

Therefore, the volume of the solid is 32/15 cubic units.

Learn more about solid

brainly.com/question/17061172

#SPJ11

The required height for which the base is 6 inches and the area of 42 square inches is 7 inches.

Each piece will be in a shape of a parallelogram so we know that the area of the parallelogram is given as

area= height * base

Now we are provided with the base of the parallelogram that is 6 inches. The area of the piece is also given as 42 sq inches. So, we can solve and get the height from the above equation.

Height (h) = area/ base

Height (h)= 42/6

Height (h)= 7 inches.

Therefore, Maya should use a height of 7 inches for each piece in order to achieve a base of 6 inches and an area of 42 sq inches.

Learn more about Parallelogram at:

https://brainly.com/question/30128515

#SPJ4

The probability of the normal distribution with given mean and standard deviation representing average content in the selected bottles is smaller than 102.1 mL is equal to 0.9878.

Distribution of the sample means of a normal distribution ,

Mean μ = 101.5 mL

Standard deviationσ = 1.6 mL

sample size n = 36

For normal distribution,

Standard deviation of the sample means is,

σ/√n

= 1.6/√36

= 0.2667 mL

Probability that the average content in the selected bottles is smaller than 102.1 mL,

Standardize the sample mean using the formula,

z = (X- μ) / (σ/√n)

where X is the sample mean.

Substituting the values, we get,

⇒z = (102.1 - 101.5) / (0.2667)

⇒ z = 2.25

Using a standard normal distribution table ,

Probability of a z-score being less than 2.25 is approximately 0.9878.

Therefore, the probability that the average content in the selected bottles is smaller than 102.1 mL is approximately 0.9878.

learn more about probability here

brainly.com/question/19137298

#SPJ4

Answer: To solve for x in the equation X/y=z-8, we need to isolate x on one side of the equation.

Multiplying both sides by y, we get:

X = y(z-8)

Therefore, the solution for x is:

X = y(z-8)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The best-supported statement by the information in the table is:

C. The fee at Bank K will always be greater than the fee at Bank F.

This is because for any given average daily balance, Bank K has a higher fee than Bank F. For example, for an average daily balance of less than $500, Bank F charges $8 while Bank K charges $12. Similarly, for an average daily balance between $500 and $750, Bank F charges no fee while Bank K charges $12. Therefore, the fee at Bank K will always be greater than the fee at Bank F.

If all three conditions are met, then the two-sample t-test can be used to test the hypotheses.

For testing the hypotheses in part A, a two-sample t-test for independent means can be used to compare the mean speed of the baseball line drive using the old technique to the mean speed using the new technique. The conditions for the t-test are:

Independence: The 42 hits using the new technique should be independent of the hits using the old technique.

Normality: The speeds using the new and old techniques should be normally distributed. This can be checked by creating a histogram of the speeds and checking for a roughly bell-shaped curve.

Equal variances: The variance of the speeds using the new technique should be approximately equal to the variance of the speeds using the old technique. This can be checked by using a statistical test for equal variances, such as Levene's test.

If all three conditions are met, then the two-sample t-test can be used to test the hypotheses.

To know more about hypotheses refer here:

https://brainly.com/question/18064632

#SPJ11

The value of x and y for the angles are 4 and 9 respectively.

An exponential equation is an expression that shows how numbers and variables using mathematical operators.

10x - 4 = 6(x + 2)     (opposite angles are equal to each other)

10x - 4 = 6x + 12

4x = 16

x = 4

Also:

18y - 18 = 16y

2y = 18

y = 9

The value of x and y are 4 and 9 respectively.

Find out more on equation at: https://brainly.com/question/22688504

#SPJ1

The number of prizes Sam able to buy = 5

Given that;

Sam bought 1 prize for each 5 tickets

Which means he can buy 1 prize for 1 ticket

Since number of ticket Sam has = 5

Therefore he can buy

1 prize for 1 ticket

2 prizes for 2 tickets

3 prizes for 3 tickets

4 prizes for 4 tickets

5 prize4s for 5 tickets

Hence Sam can buy maximum 5 prizes.

To learn more about counting visit:

https://brainly.com/question/29269537

#SPJ1

The number of miles travelled is 6.2 miles.

What is Kilometer ?

A kilometer (km) is a unit of length or distance measurement in the metric system. It is equivalent to 1,000 meters or approximately 0.62 miles. The prefix "kilo" means "thousand", so one kilometer is equal to 1,000 meters.

Completing the statements:

Kilometers are a larger unit of distance measurement compared to miles. That means the number of kilometers in a distance will always be greater than the number of miles in that distance.

We can convert miles to kilometers by multiplying the number of miles by 1.61. For example, if we have a distance of 5 miles, we can convert it to kilometers as:

5 × 1.61  = 8.05 kilometers

We can also convert kilometers to miles by multiplying the number of kilometers by 0.62. For example, if we have a distance of 10 kilometers, we can convert it to miles as:

10  × 0.62  = 6.2 miles

Therefore, The number of miles travelled is 6.2 miles.

To learn more about Kilometer from given link.

https://brainly.com/question/22040991

#SPJ1

The derivative of the given function with respect to x is:
f'(x) = e^(x^2 + 1) * (1 + 2x^2)

To find the derivative of the given function. Let's first rewrite the function for clarity: f(x) = x * e^(x^2 + 1).

To find the derivative f'(x) with respect to x, we'll apply the product rule since we have a product of two functions: x and e^(x^2 + 1). The product rule states that if you have a function f(x) = g(x) * h(x), then f'(x) = g'(x) * h(x) + g(x) * h'(x).

In this case, g(x) = x and h(x) = e^(x^2 + 1). First, let's find the derivatives g'(x) and h'(x):

g'(x) = d/dx (x) = 1
h'(x) = d/dx (e^(x^2 + 1)) = e^(x^2 + 1) * d/dx (x^2 + 1) = e^(x^2 + 1) * (2x)

Now, we can apply the product rule:

f'(x) = g'(x) * h(x) + g(x) * h'(x) = 1 * e^(x^2 + 1) + x * (e^(x^2 + 1) * 2x)

Simplifying the expression, we get:

f'(x) = e^(x^2 + 1) + 2x^2 * e^(x^2 + 1)

To learn more about derivative

https://brainly.com/question/23819325

#SPJ11

It should be noted that f(25) represents the quantity of items sold when the price is $25. In other words, if the price of the item is $25, then f(25) gives the number of units that customers will buy.

Also, f⁻¹(30) represents the price at which q = 30 units will be sold. In other words, if the number of items sold is 30, then f⁻¹(30) gives the price at which these 30 units will be sold.

This quantity is also known as the inverse demand function, which gives the price as a function of quantity demanded. . f(25) represents the quantity of items that will be sold at a price of $25. This means that if the item is sold at a price of $25, the function f will return the number of items that will be sold.

Learn more about functions on

https://brainly.com/question/11624077

#SPJ1

Prepare adjusting journal entries, close the book, open a new set of books for the partnership, record the contributions of both partners, and prepare the balance sheet of the partnership.

Adjusting Journal Entries:

Debit Interest Receivable: (calculate accrued interest amount based on notes receivable and interest rate)

Credit Interest Revenue: (same amount as above)

Debit Interest Expense: (calculate accrued interest amount based on notes payable and interest rate)

Credit Interest Payable: (same amount as above)

Debit Furniture and Fixtures: 1,000

Credit Accumulated Depreciation - Furniture and Fixtures: 1,000

N. Lustre's Contribution:

Debit Cash: (amount contributed by N. Lustre)

Debit Delivery Truck: 20,000

Credit N. Lustre's Capital: (total contributed amount)

J. Reid's Capital:

Credit J. Reid's Capital: 62,200

Balance Sheet of the Partnership:

Include the capital balances of N. Lustre and J. Reid

List the current assets, fixed assets, current liabilities, and long-term liabilities of the partnership

Calculate the total assets, total liabilities, and partners' equity

Learn more about Merchandise

brainly.com/question/16817700

#SPJ11

Last week, the ratio of bananas sold to watermelons sold was 4 : 3.

This ratio means that for every 4 bananas sold, the number of watermelons sold was 3.

Since there were 48 bananas sold, we can find the number of watermelons sold by subtracting 12 from 48:

48 bananas - 12 = 36 watermelons

Now, we can determine the ratio of bananas sold to watermelons sold. The ratio would be:

Bananas : Watermelons = 48 : 36

To simplify this ratio, we can divide both numbers by their greatest common divisor (GCD), which in this case is 12:

48 ÷ 12 = 4
36 ÷ 12 = 3

So, the simplified ratio is:

4 : 3

This ratio means that for every 4 bananas sold, the number of watermelons sold was 3. In other words, out of every 7 fruits sold (4 bananas + 3 watermelons), 4 were bananas and 3 were watermelons. This provides an easy way to understand the proportion of each type of fruit sold at Jun's fruit stand last week.

Learn more about ratio here: https://brainly.com/question/29442975

#SPJ11

The Experimental probability of  rolling the color green is 0.15

The experimental probability of rolling the color green can be calculated by dividing the number of times the die lands on green by the total number of rolls:

Experimental probability of green = Number of green rolls / Total number of rolls

Experimental probability of green = 18 / 120

Experimental probability of green = 0.15 or 15%

learn more about probability at https://brainly.com/question/25870256

#SPJ1

The most appropriate conclusion that can be made when the null hypothesis is rejected for the chi-square test of independence is: There is a significant association between fear of crime and one's perception of their neighborhood as a high crime area or not.

If the null hypothesis is rejected in a chi-square test of independence, it means that there is a significant association between the two variables being studied. In this case, the fear of crime is dependent on one's perception of whether their neighborhood is a high crime area or not.

Therefore, the most appropriate conclusion that can be made is that there is a significant relationship between the two variables, and one's perception of their neighborhood being a high crime area or not is a predictor of fear of crime. However, the chi-square test of independence does not determine causality, so it is not possible to conclude which variable is causing the other. Further research would be required to determine the direction and nature of the relationship between the two variables.

learn more about "Perception":-https://brainly.com/question/29424205

#SPJ11

The maximum area of the quadrilateral is achieved when it is a square with a side length of 50cm, resulting in an area of 2500cm².

This is because a square has equal sides and equal angles,

resulting in the most efficient use of the perimeter to enclose the maximum area.

To see why, consider a rectangle with a perimeter of 200cm.

If the rectangle is long and thin, with one side much longer than the others,

then it will have a smaller area than a square with the same perimeter.

This is because the longer sides of the rectangle will be less effective at enclosing area than the shorter sides.

Hence, The maximum area of a quadrilateral with a minimum perimeter of 200cm is achieved when the quadrilateral is a square.

Learn more about quadrilateral here:

https://brainly.com/question/3642328

#SPJ4

Answer:

That's the correct order.

Step-by-step explanation:

2x+20+5=55

2x+25=55

2x=30

x=15

The expression equation y = sin x + cos x / csc x can be simplified to y = cos x sin^2 x + cos^2 x.

To simplify the expression, we can first replace csc x with 1/sin x. This gives us y = sin x cos x + cos^2 x / sin x.

Next, we can factor out cos x from the numerator of the second term to get y = cos x (sin x + cos x) / sin x.

Using the identity sin^2 x + cos^2 x = 1, we can replace sin^2 x with 1 - cos^2 x in the numerator of the first term. This gives us y = cos x (1 - cos^2 x) / sin x + cos x (sin x + cos x) / sin x.

Simplifying the expression further, we get y = cos x (1 - cos^2 x + sin x + cos x) / sin x.

Finally, we can combine the terms in the numerator to get y = cos x (sin^2 x + 2cos x sin x + 1) / sin x.

Using the identity sin^2 x = 1 - cos^2 x, we get y = cos x (3cos^2 x + 2cos x) / sin x.

Simplifying the expression, we arrive at y = cos x (cos x + 2) (3cos x + 2) / sin x.

Therefore, the simplified expression is y = cos x sin^2 x + cos^2 x, which can also be written as y = cos x (sin x)^2 + cos^2 x.

For more questions like Equation click the link below:

https://brainly.com/question/29657983

#SPJ11