3. Mary is a real estate agent. One month she sold 7 houses at these prices: $171 000, $165 000, $178 000, $161 000, $174 000, $168 000, $240 000

3.a) What is the median price of the houses she sold?

3.b) Do you think the mean price is greater than or less than the median price of the houses sold that month? Why?


3.c) Which average do you think better represents a typical price of houses she sold that month? Why?

the value of the integral ∬R (1 - x²) dA over the region R is 16/3.

To evaluate the integral ∬R (1 - x²) dA over the region R = { (x, y) | -1 ≤ x ≤ 1, -2 ≤ y ≤ 2 }, we'll perform a double integration.

Setting up the integral:

∬R (1 - x²) dA

∬R (1 - x²) dA = ∫[-2 to 2] ∫[-1 to 1] (1 - x²) dx dy

Integrating with respect to x:

∫[-1 to 1] (1 - x²) dx = [x - (x³)/3] | [-1 to 1]

                      = (1 - (1³)/3) - (-1 - (-1³)/3)

                      = (1 - 1/3) - (-1 + 1/3)

                      = 2/3 + 2/3

                      = 4/3

Substituting the result of the x-integration back into the original integral:

∬R (1 - x²) dA = ∫[-2 to 2] (4/3) dy

Integrating with respect to y:

∫[-2 to 2] (4/3) dy = (4/3) * y | [-2 to 2]

                  = (4/3)(2) - (4/3)(-2)

                  = (8/3) + (8/3)

                  = 16/3

Therefore, the value of the integral ∬R (1 - x²) dA over the region R is 16/3.

learn more about integral:

https://brainly.com/question/31744185

#SPJ4

The weighted average cost of capital (WACC) for company C is 6.63%.

The weighted average cost of capital (WACC) is a financial metric that represents the average rate of return a company must earn on its investments to satisfy its shareholders and creditors. It takes into account the proportion of debt and equity in a company's capital structure and the respective costs associated with each.

To calculate WACC, we need to consider the cost of debt and the cost of equity. The cost of debt is the interest rate a company pays on its debt, adjusted for taxes. In this case, the pre-tax cost of debt is 2% and the tax rate is 24%. Therefore, the after-tax cost of debt is calculated as (1 - Tax Rate) multiplied by the pre-tax cost of debt, resulting in 1.52%.

The cost of equity represents the return required by equity investors to compensate for the risk associated with owning the company's stock. Here, the cost of equity for company C is 6%.

The debt represents 10% of the total capital, while the equity represents the remaining 90%. To calculate the weighted average cost of capital (WACC), we multiply the cost of debt by the proportion of debt in the capital structure and add it to the cost of equity multiplied by the proportion of equity.

WACC = (Proportion of Debt * Cost of Debt) + (Proportion of Equity * Cost of Equity)

In this case, the calculation is as follows:

WACC = (0.10 * 1.52%) + (0.90 * 6%) = 0.152% + 5.4% = 6.552%

Therefore, the weighted average cost of capital (WACC) for company C is approximately 6.63%.

Learn more about weighted average cost of capital

brainly.com/question/30746642

#SPJ11

Using Theorem 9.11, we can determine the convergence or divergence of the p-series given by:

1 + 1/(8√2) + 1/(8√3) + 1/(8√4) + ...

The general form of this series is:

Σ (1/(8√n))

Comparing this to a p-series, we can see that the exponent p in the denominator is 1/2, as it involves a square root:

Σ (1/n^p) with p = 1/2

According to Theorem 9.11, a p-series converges if p > 1 and diverges if p ≤ 1. In this case, p = 1/2, which is less than or equal to 1. Therefore, this p-series diverges.

Theorem 9.11 states that the p-series 1/n^p converges if p > 1 and diverges if p ≤ 1.

In this case, we have a series of the form 1/√n^p, where n = 1, 2, 3, ... Since the denominator is growing exponentially with n, the terms are decreasing to zero.

To apply the theorem, we need to compare p to 1. Since the series has a square root in the denominator, we can rewrite it as 1/(n^(p/2)√n). Thus, p/2 is the exponent of the series without the square root.

If p/2 > 1, then p > 2, and the series converges by Theorem 9.11. If p/2 ≤ 1, then p ≤ 2, and the series diverges by Theorem 9.11.

So, in this case, p/2 = 1/8, which is less than 1. Thus, p ≤ 2 and the series diverges by Theorem 9.11. Therefore, the answer is "diverges".

Visit here to learn more about Divergence Theorem:

brainly.com/question/17177764

#SPJ11

1)x+30=40

x=40-30

Answer :x=10

2)30-20+2x=10

10+2x=10

2x=0

Answer: x=0

3)3x-10+13=-2x+28

3x+3=-2x+28

3x+2x+3=28

3x+2x=28-3

5x=28-3

5x=25

x=5

4)13x-23-45=-7x+12

13x-68=-7x+12

13x+7x-68=12

13x+7x=12+68

20x=12+68

20x=80

x=4

5)2(x+4)=10x+24

2x+8=10x+24

2x-10x+8=24

2x-10x=24-8

-8x=24-8

-8x=16

x=-2

6)3(x-5)=1-(2x-4)

3x-15=1-(2x-4)

3x-15=1-2x+4

3x-15=5-2x

3x+2x-15=5

3x+2x=5+15

5x=5+15

5x=20

x=4

7)5x-10=15

5x=15+10

5x=25

x=5

8)x+4=x+6

4=6

no solution

PLEASE MARK ME AS BRAINLIEST

Step-by-step explanation:

50% only 2 sides so it's 50 50

Answer:

0.4 , 0.31 , 0.38 is the answer

Answer:

Azoospermia

Step-by-step explanation:

Azoospermia is the medical term used when there are no sperm in the ejaculate. It can be “obstructive,” where there is a blockage preventing sperm from entering the ejaculate, or it can be “nonobstructive” when it is due to decreased sperm production by the testis.

Triangle in (22) have value of side z = 4, and angles x = 53°, y = 37°. The triangle in (23) have the value of it sides x = 35, z = 83, and an angle y = 65°. Using trigonometric ratios to the nearest whole numbers.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

(22). by Pythagoras rule;

z = √(5² - 3²) = 4

sin x = 4/5

x = sin⁻¹(4/5) {cross multiplication}

x = 53.1301

y = 180 - (53 + 90) {sum of interior angles of a triangle}

y = 37°

(23). cos 25 = 75/z {adjacent/hypotenuse}

z = 75/cos 25 {cross multiplication}

z = 82.7533

sin 25 = x/82.7533

x = 82.7533 × sin 25 {cross multiplication}

x = 34.9731

y = 180 - (25 + 90)

y = 65°

Therefore, the triangle in (22) have value of side z = 4, and angles x = 53°, y = 37°. The triangle in (23) have the value of it sides x = 35, z = 83, and an angle y = 65°. Using trigonometric ratios to the nearest whole numbers.

Read more about trigonometric ratios here: https://brainly.com/question/11967894

#SPJ1

Answer:

153.9 units squared

Step-by-step explanation:

A = pi*r^2

A = pi* 7^2

A = pi* 49

A = 153.9

Answer:

option D; 20/3 OR 6 2/3

Step-by-step explanation:

CONVERT THE HOURS INTO MINUTES;

3/4 × 60 = 45 mins

1hour = 60 mins

45 mins = 5 miles

60 mins = ??

cross multiply;

60 by 5 ÷ 45 to get 20/3.

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

When charged electrons (current) are forced through a conducting loop by the weight of an electrical raceway power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).

Here,

The voltage generated by the uv spectrophotometer is inversely proportionate to the amount of light present and linearly proportional to the sample's absorbance.

This indicates that as the sample's absorbance rises, so does the energy the colorimeter generates.

Similar to this, the voltage generated by the colorimeter rises as light strength falls.

The Beer-Lambert Law, which says that a sample's absorbance is directly proportional to its concentration of the absorbing substance and its path length and inversely proportional to incident light intensity, describes this connection.

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

To know more about voltage , visit:

https://brainly.com/question/26446532

#SPJ4

Answer:

B

Step-by-step explanation:

Walt Disney holds the record for the most Academy Award nominations with 59 nods, while Edith Head holds the second-most with 52 nominations.

Walt Disney is considered to be one of the greatest animators and film producers in the world. He received a total of 59 Oscar nods and is the record holder for the most Academy Award nominations of all time. This great achievement was attained from a career that spanned over four decades.

Disney's work had a tremendous impact on the American film industry. He is known for pioneering new techniques in the animation industry, which helped to create some of the most memorable and beloved characters of all time. These characters include Mickey Mouse, Donald Duck, and many others.

The second-most Oscar nominations belong to Edith Head, who received 52 nods during her career as a costume designer. She was known for her work in Hollywood's Golden Age, which spanned from the 1920s to the 1960s. Her collaborations with famous filmmakers such as Alfred Hitchcock, Cecil B. DeMille, and others earned her a well-deserved reputation as one of the most respected and talented costume designers in the industry.

To know more about nods visit:

https://brainly.com/question/32816778

#SPJ11

Answer:

1. 7%

2. 55%

3. 15%

Step-by-step explanation:

That's the answer

It is proved that (1 - x1)(1 - x2)...(1 - xn)x1x2...xn > (n - 1)n, given the sum of positive x1, x2, ..., xn equals 1

To prove that (1 - x1)(1 - x2)...(1 - xn)x1x2...xn > (n - 1)n, given the sum of positive x1, x2, ..., xn equals 1, we can use the AM-GM inequality.

Step 1: Rewrite the inequality as (1 - x1)(1 - x2)...(1 - xn)x1x2...xn > (n - 1)n.

Step 2: Apply the AM-GM inequality, which states that for any non-negative numbers, the arithmetic mean is greater than or equal to the geometric mean.

Step 3: Apply the AM-GM inequality to (1 - x1), (1 - x2), ..., (1 - xn), and x1, x2, ..., xn.

Step 4: By applying the AM-GM inequality, we have:
[(1 - x1) + (1 - x2) + ... + (1 - xn)]/n ≥ [(1 - x1)(1 - x2)...(1 - xn)x1x2...xn]^(1/n).

Step 5: Simplify the left side of the inequality:
(n - (x1 + x2 + ... + xn))/n ≥ [(1 - x1)(1 - x2)...(1 - xn)x1x2...xn]^(1/n).

Step 6: Given that x1 + x2 + ... + xn = 1, substitute it into the inequality:
(n - 1)/n ≥ [(1 - x1)(1 - x2)...(1 - xn)x1x2...xn]^(1/n).

Step 7: Raise both sides of the inequality to the power of n:
[(n - 1)/n]^n ≥ [(1 - x1)(1 - x2)...(1 - xn)x1x2...xn].

Step 8: Simplify the left side of the inequality:
[(n - 1)/n]^n = [(1 - 1/n)^n].

Step 9: Use the fact that as n approaches infinity, (1 - 1/n)^n approaches 1/e, where e is Euler's number (approximately 2.71828).

Step 10: Therefore, [(1 - 1/n)^n] ≥ 1/e.

Step 11: Substitute the result from Step 10 into the inequality:
[(1 - 1/n)^n] ≥ 1/e ≥ [(1 - x1)(1 - x2)...(1 - xn)x1x2...xn].

Step 12: Since 1/e > (n - 1)/n for all positive integers n, we can conclude that:
[(1 - x1)(1 - x2)...(1 - xn)x1x2...xn] < 1/e < (n - 1)/n.

Therefore, we have proved that (1 - x1)(1 - x2)...(1 - xn)x1x2...xn > (n - 1)n.

To know more about sum refer here:

https://brainly.com/question/30754039

#SPJ11

The length of a truck is an example of a continuous data set, and 20 feet is just one possible value within that range.

The given value, "a truck with a length of 20 feet," is an example of a continuous data set.

Continuous data refers to values that can take on any numerical value within a range, with no gaps or interruptions. In this case, the length of a truck can take on any value between 0 and some maximum length, with no gaps or interruptions in between.

In contrast, discrete data refers to values that can only take on certain specific values, usually integers. For example, the number of tires on a truck is a discrete data set because it can only take on integer values (e.g. 4, 6, 8).

For more such questions on continuous data

https://brainly.com/question/17141874

#SPJ4  

Answer: 3.82x10^7

Step-by-step explanation:

Answer:

18.4

Step-by-step explanation:

9.2 + 9.2 = 18.4

Step-by-step explanation:

tan30° = Height of person / (Distance away from river bank + river's width) = 1/√3.

Therefore 1.6m / (2m + x) = 1/√3

By cross multiplication, 1.6√3 = 2 + x.

Hence, x ≈ 0.77m.

Answer:

Step-by-step explanation:

\(1\frac{1}{3} - 2\frac{1}{5} +\frac{7}{10}\)

\(=-\frac{13}{15} +\frac{7}{10}\)

\(=-\frac{1}{6}\)

Answer:

10 x 24 x 13 = 3120?

Step-by-step explanation:

I hope this is right!

Answer:

\(10\sqrt{313} +24\sqrt{194}+240\) square units

Step-by-step explanation:

If your base is 10x24, and the vertical height is 13, you first have to find the slant height of the pyramid, in other words, calculate the hypotenuse of the triangles constructed using the height and the base divided by 2. You will need to find two slant heights as the base is not square. If you look at that image, the slant heights are marked in blue, and the specific measurements know are given in red. Using that, we can apply the Pythagorean theorem to determine the slant heights, which are \(\sqrt{194}\) and \(\sqrt{313}\), then we need to calculate the area of each triangular face. Thus they are \(5\sqrt{313}\) and \(12\sqrt{194}\), but there are two identical faces in the pyramid, which means we should double the area of the faces to achieve \(10\sqrt{313} +24\sqrt{194}\), then we need to simply add the base as it's a face. So the answer is \(10\sqrt{313} +24\sqrt{194}+240\)

Considering the definition of a line, the equation of the line that passes through the point (2, -5) and has a slope of -1/3 is y= -1/3x - 13/3 and the graph is attached.

A linear equation o line can be expressed in the form y = mx + b

where

In this case, you know:

Substituting the value of the slope and the value of the point in the expression y = mx + b, the value of the ordinate to the origin b can be obtained:

-5= -1/3×2 + b

-5= -2/3 + b

-5 + 2/3= b

-13/3= b

Finally, the equation of the line is y= -1/3x - 13/3.

Learn more about equation of a line:

brainly.com/question/20842634

#SPJ1

The probability of the new engine design being approved given that it is low-energy is 0.2, or 20%.

To find the probability of the new engine design being approved, we need to use the concept of conditional probability.

We can use Bayes' Theorem to calculate this conditional probability:

P(A|H) = P(H|A) x P(A) / P(H)

where P(A|H) is the probability of the engine being approved given that it is high-energy, P(H|A) is the probability of the engine being high-energy given that it is approved, P(A) is the overall probability of the engine being approved (irrespective of energy consumption), and P(H) is the overall probability of the engine being high-energy.

Using the values given in the problem, we can substitute in these probabilities:

P(H|A) = 0.1 (given)

P(A) = P(H)P(A|H) + P(L)P(A|L) = 0.50.1 + 0.50.2 = 0.15

P(H) = 0.5 (given)

Therefore, we can calculate:

P(A|H) = 0.1 x 0.5 / 0.15 = 1/3 = 0.333

This means that the probability of the new engine design being approved given that it is high-energy is 0.333, or approximately one-third. Similarly, we can find the probability of the engine being approved given that it is low-energy:

P(A|L) = P(L|A) x P(A) / P(L)

P(L|A) = 1 - P(H|A) = 0.9 (given)

P(L) = 0.5 (given)

P(A|L) = 0.2 * 0.5 / 0.5 = 0.2

To know more about probability here

https://brainly.com/question/11234923

#SPJ4

The product of 85 and 56 is given as follows:

85 x 56 = 4760.

The product between two amounts is obtained as the multiplication between these two amounts.

The amounts for this problem are given as follows:

85 and 56.

We have two two-digit amounts, hence we use these following partial products:

The second partial product must be multiplied by the 2 - 1 = 1st power of 10, then we add the partial products to obtain the final product as follows:

510 + 4250 = 4760.

More can be learned about the product between two amounts at https://brainly.com/question/10873737

#SPJ1

The number of waffles can be made from 15 eggs are, 20 waffles.

the waffles can be calculates as follows

4 cups of fluor + 6 eggs +2 tbsp oil = 8 waffles

we need 6 eggs to make 8 waffles

So, the waffles can we make from 15 eggs = \(\frac{8}{6} X 15 = 20\) waffles

Hence, the number of waffles can be made from 15 eggs are 20 waffles.

Learn more about this equation at

https://brainly.com/question/14275434

#SPJ1

Answer:

triangle b and triangle d

Step-by-step explanation:

3^2+4^2=5^2

2+4=6

Answer:

Triangle b- 3,4,5

5²=3²+4²

Triangle d- √2,√4√6

(√6)²=(√2)²+(√4)²

Answer:

24 hours

Step-by-step explanation:

Answer:

4 hours sound good