Andrew paid an agency 10% of his first year's rent for finding him an apartment. His rent is $1,800 per month. What is the amount of the commission that Andrew paid the agency

Henry needs to buy the 9.96 bags of grass seed to cover the lawn area:

The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. It is a two-dimensional figure. The area of the shape on the paper is referred to as its Area. Consider your square to be made up of smaller unit squares.

Geometrical shapes are two-dimensional shapes and closed figures such as circles, squares, rectangles, rhombuses, and so on. The three-dimensional shapes in solid geometry are the cube, cuboid, cone, sphere, and cylinder. All of these shapes can be found in various forms all over the place.

The length of the lawn L = 128.

the width of the lawn B = 72.

bag of grass seed covers an area of 925 ft².

He anticipates that he will require 8 bags of grass seed.

Now first we find the area of the lawn:

area of lawn = L x B

                    = 128 * 72

                    = 9,216 ft²

The grass seed required to covers an area of lawn = 9,216 ft²

one bag of grass seed covers an area of 925 ft².

= 9216/925

= 9.96

henry needs to buy the 9.96 bags of grass seed to cover the lawn area:

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Answer:

4) b

5) b

6) ?

7) Question content is incorrect

8) b

Sorry I couldn’t help more.

Answer:

39/22 = 1 17/22

Step-by-step explanation:

Attached below :

I hope im right!!

As you consider the various factors involved in starting a group, the most important factor you have to judge is the group's purpose or goal.

Step 1: Identify the group's purpose or goal - This is crucial because it will guide all other decisions, including membership criteria, communication methods, and meeting schedules.

Step 2: Assess the needs and resources of potential members - This will help you understand their motivations and ensure the group can support their needs while accomplishing its goal.

Step 3: Establish clear membership criteria and expectations - This will ensure that everyone in the group is on the same page and committed to the same goals.

Step 4: Choose an appropriate communication method - This will facilitate smooth and efficient communication among group members.

Step 5: Develop a meeting schedule that works for all members - Regular meetings help keep the group on track and provide opportunities for collaboration and feedback.

By focusing on the group's purpose or goal, you can create a solid foundation for a successful and productive group.

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The domain of the given function \(f(x) = \sqrt{(4x + 9)} + 2\).

So long as x ≥ -9/4, the function f(x) will be defined.

Given: "f(x) = Startroot 4 x + 9 Endroot + 2" should be written as

\(f(x) = \sqrt{(4x + 9)} + 2\).

Note that \($\sqrt{(4x + 9)}\) exists a variation of the basic function \(y = \sqrt{x}\), whose domain exists [0, ∞ ).

The domain of \($f(x) = \sqrt{(4x + 9) }+ 2\) exists seen by taking the "argument" 4x + 9 of \(\sqrt{(4x + 9)}\)and setting it equivalent to zero:

4x + 9 ≥ 0

simplifying the equation, we get

4x ≥ -9

x ≥ -9/4

This exists the domain of the given function \(f(x) = \sqrt{(4x + 9)} + 2\).

So long as x ≥ -9/4, the function f(x) will be defined.

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Answer:

B

Step-by-step explanation:

I tink old up

no its BBBBB

The number of revolutions will the wheels need to make to travel 100 feet will be 15.

Given that:

Diameter, d = 26 inches

Let d be the diameter of the circle. The circumference of the circle will be given as,

C = πd units

The number of revolutions will the wheels need to make to travel 100 feet will be given as,

100 = n x 3.14 x (26 / 12)

100 = 6.803 n

n = 14.6986

n ≈ 15 revolution

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\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The required values are ~

\(\fbox \colorbox{black}{ \colorbox{white}{x} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{40 \degree}}\)

\(\fbox \colorbox{black}{ \colorbox{white}{y} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{80 \degree}}\)

\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)

From the given figure, we can infer that ~

(by linear pair)

now, let's solve for x ~

And, we can see that 2x = y (by alternate interior angle pair)

So, let's find the value of y ~

Answer:

x = 40

3x - 20 = 100

2x = 80

y = 80

2x - 15 = 65

Step-by-step explanation:

The angles 3x - 20 and 2x are a linear pair, so they are supplementary. Their measures has a sum of 180°.

Angles 2x and y are alternate interior angles, so they are congruent.

Once we find the value of x, we can find the measure of angle 2x - 15.

3x - 20 + 2x = 180

5x = 200

x = 40

3x - 20 = 3(40) - 20 = 120 - 20 = 100

2x = 2(40) = 80

y = x = 80

2x - 15 = 2(40) - 15 = 80 - 15 = 65

According to the ratio, it doesn't make sense to have a total of 9 people in the dance competition.

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

The ratio of boys to every girls is 3:2 in a dance competition.

Let's find if it will make sense to have a total of 9 people in the competition.

Therefore,

number of boys = 3 / 5 × 9 = 27 / 5 = 5.4

number of girls = 2 / 5 × 9 = 18 / 5 = 3.6

Therefore, it doesn't make sense to have 9 people in the competition because the actual number of boys and girls will be in decimal which is impossible.

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The length of the deep end is 12 feet of the swimming pool.

Given: Area of the swimming pool is 210 square feet

Width of the pool = 10 feet

The length of the shallow end is 9 feet and the length of the deep end is d.

To find the value of d.

Let's solve the problem.    

The area of the swimming pool is 210

The width is 10

The deep end length is d

The shallow end length is 9

The total length of the swimming pool = The length of the deep end + The length of the shallow end

=> d + 9

Therefore, the total length of the swimming pool is d + 9

The surface of the swimming pool is rectangular, so

The area of rectangle = width × length

Therefore,

area of swimming pool = width of the pool × length of the swimming pool

=> 210 = 10 × (9 + d)

or 10 × (9 + d) = 210

Dividing both sides by 10:

10 × (9 + d) / 10 = 210 / 10

9 + d = 21

Subtracting 9 on both sides:

9 + d - 9 = 21 - 9

d = 12

Therefore the length of the deep end is 12 feet

Hence the length of the deep end is 12 feet of the swimming pool.

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The length of the deep end of the swimming pool is 12 feet.

We are given that:

The Area of the swimming pool = 210 square feet

width of the swimming pool = 10 feet

Length of shallow end = 9 feet

Let the length of the deep end be d.

Total length of the swimming pool = length of deep end + length of shallow end =  d + 9

Area of swimming pool = width × length

Substituting the values, we get that:

210 = 10 × (9 + d)

9 + d = 21

d = 12

Therefore the length of the deep end of the swimming pool is 12 feet.

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The range will the middle 68% of all sample results fall for samples of size 1025 is: (0.454 , 0.486), option (d) 0.454 to 0.486.

Here, we have,

given that,

Historical data reveals that 47% of all adult women think they do not get enough time for themselves. A recent opinion poll interviews 1025 randomly chosen women and records the sample proportion of women who do not feel that they get enough time for themselves. This statistic will vary from sample to sample if the pol is repeated. Suppose the true population proportion is 0.47.

so, we have,

n = 1025

p = 0.47

(1-a) = 68%

now, we know that,

The formula for confidence interval is:

Confidence interval = sample mean ± margin of error

The population mean for a certain variable is estimated by computing a confidence interval for that mean.

here, p = x/n

p = sample proportion

n = sample size

Z = critical value

now, we get,

The range will the middle 68% of all sample results fall for samples of size 1025 is: (0.454 , 0.486)

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Answer:

.3 and most ducks are yellow - so letter c.

Step-by-step explanation:

remember: the formula for relative frequency is f/n.

f = number of times data occurred for an observation (30 red ducks picked)

n - total frequencies (100 ducks picked in total)

30/100 = 0.3 is the relative frequency of choosing a red duck.

Next,

Yellow was picked 40 out of the 100 times, so its likely that most ducks are yellow.

Answer:

C.  The relative frequency is 0.3. It is likely that most ducks are yellow.

Step-by-step explanation:

Relative frequency (or experimental probability) is calculated by dividing the recorded number of times an event happens by the total number of trials in the actual experiment.

\(\begin{aligned}\implies \sf Relative\:frequency\:(red\:duck) & = \dfrac{\textsf{Number of times a red duck was picked}}{\textsf{Total number of trials}}\\\\ & = \sf \dfrac{30}{100}\\\\ & = \sf 0.3\end{aligned}\)

The most likely color of duck in the pool is the color of duck with the highest frequency.  Therefore, it is likely that most ducks are yellow.

The correct options are -

For the stated function.

The graph for the function g(x) is given in the question.

As the slope of function g(x) is most steep for the interval [1,2].

Thus, g(x) increases at a faster rate over the interval [1,2].

The graph for the function f(x) is attached,

f(x) = 3x+ 2

From the graph, it is shown that the slope of the function g(x) is most steep for the interval [0,1].

Thus, f(x) increases at a faster rate over the interval [0,1].

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Answer:

56cm²

Step-by-step explanation:

Because this is an irregular shape, you have to split it into two shapes and find the area of each one. Then you can add those two areas together to find the total area of the figure. There are many ways you can split it but the way I did it left me with the equation (12·3)+(4·5). Then all you have to do is multiply and add which will give you a total of 56cm².

a) It suggests that when we take repeated samples from a population and calculate the means, those means will tend to follow a normal distribution. b) It provides the most precise and accurate estimate of the parameter. c) As we collect more data, the estimate becomes more and more accurate. d) It represents the probability of rejecting the null hypothesis when it is actually true.

a. Central Limit Theorem:

The Central Limit Theorem states that the sampling distribution of the mean of a sufficiently large number of independent and identically distributed random variables will approximate a normal distribution, regardless of the shape of the original population distribution. In simpler terms, it suggests that when we take repeated samples from a population and calculate the means, those means will tend to follow a normal distribution.

Example: Let's say we are interested in the heights of adult males in a particular city. We take multiple random samples of different sizes from the population, calculate the means of each sample, and create a histogram of those means. According to the Central Limit Theorem, the histogram of sample means will resemble a bell-shaped normal distribution, even if the individual heights in the population do not follow a normal distribution.

b. Efficient Estimator:

An efficient estimator is a statistical estimator that achieves the smallest possible variance among all unbiased estimators for a given parameter. In other words, it provides the most precise and accurate estimate of the parameter.

Example: In regression analysis, the ordinary least squares (OLS) estimator is known to be efficient for estimating the regression coefficients. It minimizes the sum of squared residuals and provides the most efficient estimates of the coefficients compared to other unbiased estimators.

c. Consistent Estimator:

A consistent estimator is a statistical estimator that converges to the true value of the parameter being estimated as the sample size increases. In simple terms, as we collect more data, the estimate becomes more and more accurate.

Example: Suppose we are interested in estimating the population mean of a certain variable. If we repeatedly sample from the population and calculate the sample means, a consistent estimator will show that as the sample size increases, the sample means will converge to the true population mean.

d. Significance Level:

The significance level, often denoted as alpha (α), is the threshold used in hypothesis testing to determine the level of evidence required to reject the null hypothesis. It represents the probability of rejecting the null hypothesis when it is actually true.

Example: Suppose we conduct a hypothesis test to determine if a new drug has a significant effect on reducing blood pressure. We set the significance level at 0.05. If the resulting p-value is less than 0.05, we reject the null hypothesis and conclude that the drug has a significant effect on reducing blood pressure. The significance level of 0.05 indicates that we are willing to accept a 5% chance of making a Type I error (rejecting the null hypothesis when it is true) in favor of detecting a significant effect if it exists.

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Answer:

You are correct! good job!

Step-by-step explanation:

Answer: The measure of angle 1 is 39 degrees,the measure of angle 2 is 78 degrees and the measure of angle 3 is 63 degrees.

Step-by-step explanation:

We will represent the measure of angle 1 by x because it is unknown.

It says that the measure of angle 2 is twice angle 1   so we could represent that as  2x  and the measure of angle 2  is 15 less than angle 3 and we could also represent that by  2x - 15.

Now we know they all add up to 180 so add them up and set them equal to 180 and solve for x.

x + 2x + 2x -15 = 180  

5x - 15 = 180

      +15   +15

5x = 195

x = 39  

If x is equal to 39 then the measure of angle 1 is 39 degrees and the measure of angle 2 is twice that so 2(39) = 78   which also gives us the measure of angle 2 as 78.

For angle 3 it says that it has to be 15 less than the measure of angle so  subtract 15 from  78 to find the measure of angle 3.

78 - 15 = 63   The measure angle 3 is 63 degrees. Now add the measures all together to see if they equal 180 degrees .

Check:

39 + 78 + 63 = 180

  180 = 180

Answer:

The value of M₁₁ is -6.

Step-by-step explanation:

The minor, \(M_{ij}\) is the determinant of a square matrix, say P, formed by removing the ith row and jth column from the original square matrix, P.

The matrix provided is as follows:

\(A=\left[\begin{array}{ccc}7&9&-3\\3&-6&5\\4&0&1\end{array}\right]\)

The matrix M₁₁ is:

Remove the 1st row and 1st column to form M₁₁,

\(M_{11}=\left|\begin{array}{cc}-6&5\\4&0\end{array}\right|\)

Compute the value of M₁₁ as follows:

\(M_{11}=\left|\begin{array}{cc}-6&5\\4&0\end{array}\right|\)

       \(=(-6\times 1)-(5\times 0)\\\\=-6-0\\=-6\)

Thus, the value of M₁₁ is -6.

It is expected that 300 participants out of the 900 who participate in the survey would receive a coupon for sleigh rides.

To determine the number of participants expected to receive a coupon for sleigh rides, we need to divide the total number of participants (900) by the number of coupon options (3) since each option has an equal chance of being received.

The expected number of participants receiving a coupon for sleigh rides can be calculated as follows:

Total participants / Number of coupon options = Expected number of participants receiving a sleigh ride coupon

900 participants / 3 coupon options = 300 participants.

Therefore, it is expected that 300 participants out of the 900 who participate in the survey would receive a coupon for sleigh rides.

It's important to note that this calculation assumes an equal chance of receiving each type of coupon and does not consider any specific preferences or biases that participants may have.

The calculation is based on the assumption of a random distribution of coupons among the participants.

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Answer:

..........................................

Answer:

understandable

Step-by-step explanation:

The Probability of spinning an odd number both times is \(\dfrac{1}{2}\).

Probability is calculated by the ratio of favourable outcomes and the total number of outcomes.

The total number of outcomes of spinning numbers will be 4 that is 1,2,3,4.

And in which the odd numbers are 1,3.

Therefore the favourable outcome of spinning an odd number both the times will be 2.

Then, the probability will be

\(P=\dfrac{2}{4} \\P=\dfrac{1}{2}\)

So, the probability of spinning an odd number both times will be \(\dfrac{1}{2}\).

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Step-by-step explanation:

QR is parallel to TU | Given

S is the midpoint of QT | Given

QS = ST | Definition of midpoint

<QSR = <TSU | definition of vertical angles

<QRS = <STU | Definition of Alternate Interior Angles

QSR = TSU | ASA

Pretty sure that's right :D

Also, wherever it says "=", I mean congruency symbol

Answer: d. alternate interior angles

Note how the two angles are inside, or interior, of the lines L1 and L2. For me, I tend to think of such lines like train tracks. So that takes care of the "interior" portion.

As for the "alternate" portion, we can see that the angles are on either side of the transversal line T.

So that's why angles 3 and 6 are alternate interior angles.

If L1 and L2 are parallel, then angle 3 = angle 6.

To access the first element of an array of integers called "numbers," you can use the expression:
numbers[0]`
This expression uses the array name "numbers" and the index "0" to access the first element.

To access the last element of "numbers," assuming it contains 10 elements, use the expression:

`numbers[9]`

Here, we use the index "9" since arrays are zero-indexed, meaning the last element in a 10-element array has an index of 9.
To access the first element of the array called numbers, we would use the expression "numbers[0]."

To access the last element of the array, assuming it contains 10 elements, we would use the expression "numbers [9]" since arrays are zero-indexed in most programming languages.

To access the last element of the array regardless of its length, we can use the expression "numbers [numbers.length-1]," which subtracts 1 from the length of the array to access the last element.
To access the last element, regardless of its length, use the expression:

'numbers [numbers. length - 1]'

This expression uses the "length" property of the array to find the total number of elements and subtracts 1 to get the correct index for the last element.

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The number of stray cats in the town in t=0 years will be 243.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The given function is:-

\(f(t) = 243(\dfrac{1}{3})^t\)

f(t) is representing the number of the stray cats in t years so in t=0 years the number of the cats will be:-

\(f(t) = 243(\dfrac{1}{3})^0= 243\)

f(t) = 243 cats

It states that initially at t=0 years there were 243 cats in the town.

Therefore the number of stray cats in the town in t=0 years will be 243.

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Answer:

125x - 33x⁴

Pull out like factors :

125x - 27x⁴ = -x • (27x3 - 125)

Factoring: 27x³- 125

Theory : A difference of two perfect cubes, a³ - b³ can be factored into

(a-b) • (a² +ab +b²)

(a-b)•(a²+ab+b²) =

a³+a²b+ab²-ba²-b²a-b³ =

a³+(a2b-ba²)+(ab²-b²a)-b³ =

a³+0+0+b³ =

a³+b³

Check : 27 is the cube of 3

Check : 125 is the cube of 5

Check : x³ is the cube of x¹

Factorization is :

(3x - 5) • (9x² + 15x + 25)

\( \)

The volume of the rectangular building is 2,731,050 feet³ depending on the given height, base and width.

The volume of the building will be calculated by the formula -

Volume = length × breadth × height

Thus, keeping the value of each component of building in the formula to find the volume of the building.

Volume of building = 255 × 255 × 42

Performing multiplication on Right Hand Side of the equation to find the value of volume

Volume of building = 2,731,050 feet³

Therefore, the volume of the building is 2,731,050 feet³.

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The factor of x in x / 3 = 7 / 9 is 21 / 9

The equation is

x / 3 = 7 / 9

The equation is the mathematical statement that shows the relationship between one expression and another expression with an equal sign. The inequality signs will not be a part of equation. The equation that consist of different variables, numbers and mathematical operators. The mathematical operators are addition, subtraction, division and multiplication.

The equation is

x / 3 = 7 / 9

Move the 3 to the right hand side of the equation

x = (7/9) × 3

x = 21/9

Hence, the factor of x in x/3 = 7/9 is 21/9

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To find the means, variances, covariance, and correlation coefficient of random variables X and Y with a joint PMF:

- Calculate the means: E[X] and E[Y].

- Compute the variances: Var(X) and Var(Y).

- Find the covariance: Cov(X, Y).

- Determine the correlation coefficient: ρ(X, Y).

Based on the covariance, we can determine if X and Y are independent or dependent.

Let the random variables X and Y have a joint probability mass function (PMF). We need to find the means (expected values), variances, covariance, and correlation coefficient of X and Y, and determine whether they are independent or dependent.

The mean of a random variable X is denoted by E[X] or μX, and it is calculated as the sum of all possible values of X weighted by their respective probabilities. Similarly, the variance of X, denoted by Var(X) or σ²X, measures the spread or dispersion of the values of X around its mean.

The covariance between two random variables X and Y, denoted by Cov(X, Y), measures the degree to which they vary together. It is calculated as the sum of the products of the differences of the values of X and its mean, and the differences of the values of Y and its mean, weighted by their joint probabilities.

The correlation coefficient between X and Y, denoted by ρ(X, Y), quantifies the strength and direction of the linear relationship between them. It is calculated by dividing the covariance of X and Y by the product of their standard deviations.

To determine the means and variances, we can use the following formulas:

E[X] = ∑x∑y x * P(X = x, Y = y)

E[Y] = ∑x∑y y * P(X = x, Y = y)

Var(X) = E[X²] - (E[X])²

Var(Y) = E[Y²] - (E[Y])²

To calculate the covariance, we use the formula:

Cov(X, Y) = E[XY] - E[X]E[Y]

Once we have the means and variances, we can calculate the correlation coefficient using the formula:

ρ(X, Y) = Cov(X, Y) / (√Var(X) * √Var(Y))

Based on the calculations of means, variances, covariance, and correlation coefficient, we can determine whether X and Y are independent or dependent. If the covariance is zero (Cov(X, Y) = 0), then X and Y are independent. Otherwise, they are dependent.

In summary, to find the means, variances, covariance, and correlation coefficient of X and Y, we use the formulas mentioned above. Based on the calculated values, we can determine whether X and Y are independent or dependent.

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