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∠ABC and ∠DBC are complementary angles. If ∠ABC = 6x + 13 and ∠DBC = 4x − 3 what is the value of x?

Answer:

Step-by-step explanation:

There are various ways that this mixed number can be written. Some of these ways include...

Simplified = 2 \(\frac{1}{4}\)

Full Fraction = \(\frac{28}{12}\)

Simplified Full Fraction = \(\frac{9}{4}\)

Decimal Format = 2.25

Written Word Format = Two and one fourth

These are all the ways that this mixed number can be written.

Answer:

Step-by-step explanation:

.4s-500=.3s-300

.1s=200

s=$2000

Answer:

4.5

Step-by-step explanation:

Do 3x3 as a whole square, do 9 divided by 2 which is 4.5

On solving the provided question, we can say that the equation will be  => w + 288 = 8

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

here

w increased by 288 is the same as 8

the equation will be

=> w + 288 = 8

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Answer:

Let's establish that the LCM between the two is 20, so now we need to multiply our numerators by the same numbers used to multiply the denominators.

3(5)/20 - 3(2)/20 = (15-6)/20 = 9/20

the answer is: 1/12

simple explanation is :50/100*1/6

The value of  zα for the following is :

(a)  α = 0.0089 is 2.37

(b) α = 0.09 is 1.34

(c)  α = 0.707 is -0.545

zα is the inverse function of the standard normal CDF.

(a) Central limit c= 1-α

for α = 0.0089 , c=1-0.0089

∴ c=0.9911

Hence confidence level in percentage= 99.5%

Now,  the value of zα will be calculated with the help of an excel sheet function normsinv(c).

∴zα = normsinv(c)

where c is central limit

zα = normsinv(0.9911)

zα =2.37

(b) Central limit c= 1-α

for α = 0.09 , c=1-0.09

∴ c=0.91

Hence confidence level in percentage= 91%

Now,  the value of zα will be calculated with the help of an excel sheet function normsinv(c).

∴zα = normsinv(c)

where c is central limit

zα = normsinv(0.91)

zα=1.34

(c) Central limit c= 1-α

for α = 0.707 , c=1-0.707

∴ c=0.293

Hence confidence level in percentage= 29.3%

Now,  the value of zα will be calculated with the help of an excel sheet function normsinv(c).

∴zα = normsinv(c)

where c is central limit

zα = normsinv(0.707)

zα= -0.545

Therefore zα value for 0.0089 is 2.37, for 0.09 is 1.34 and for 0.707 it is -0.545.

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The formula for km per hour is used to calculate the speed of an object in kilometers per hour. It is calculated by dividing the distance in kilometers by the time in hours .Km per hour (km/h) = distance (km) / time (h) For example, if an object travels 30 kilometers in 2 hours, the speed of the object is 15 km/h.

Km per hour (km/h) is a unit of speed which measures the distance an object travels in one hour. The formula for km per hour is used to calculate the speed of an object in kilometers per hour. It is calculated by dividing the distance in kilometers by the time in hours. For example, if an object travels 30 kilometers in 2 hours, the speed of the object is 15 km/h. The formula for km per hour is an important tool to measure the speed of vehicles, and is commonly used in navigation and transport systems. It is also useful in determining the rate at which work is being done, or the rate at which someone needs to travel to reach a certain destination. The formula for km per hour is also beneficial in determining the average speed of an object, which is the total distance traveled divided by the total time taken to travel that distance. This can be used to measure the efficiency of a vehicle or any other form of transportation. In conclusion, the formula for km per hour is an invaluable tool for measuring speed and efficiency.

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the role of the seed value in a random number generator is to initialize the internal state of the generator and serve as the basis for the calculated pseudorandom numbers produced by the algorithm.

The seed value of a random number generator is an important input that determines the sequence of numbers generated by the generator. In particular, the seed value serves as the basis of the calculated pseudorandom numbers produced by the generator.

A pseudorandom number generator is a deterministic algorithm that produces a sequence of numbers that appear to be random, but are actually generated using a mathematical formula or algorithm. The sequence of numbers produced by the generator is not truly random, but is instead a sequence that is determined by the seed value and the algorithm used to generate the numbers.

When a seed value is provided to a pseudorandom number generator, it is used to initialize the internal state of the generator. This internal state is used by the generator to produce the sequence of pseudorandom numbers. Different seed values will result in different sequences of numbers, even when the same algorithm is used.

The seed value does not determine the maximum or minimum values that can be generated by the generator. Instead, the range of values that can be produced is determined by the algorithm used to generate the numbers. The seed value only affects the sequence of numbers produced by the generator.

In summary, the role of the seed value in a random number generator is to initialize the internal state of the generator and serve as the basis for the calculated pseudorandom numbers produced by the algorithm. The seed value does not determine the maximum or minimum values that can be generated, but only affects the sequence of numbers produced by the generator.        

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You can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

To calculate the probability P(1 < z < 2) for a standard normal random variable, we can use the cumulative distribution function (CDF) of the standard normal distribution.

The CDF gives us the probability that a standard normal random variable is less than or equal to a given value. We can use this information to calculate the probability between two values.

Let's denote the CDF of the standard normal distribution as Φ(z). The probability P(1 < z < 2) can be calculated as follows:

P(1 < z < 2) = Φ(2) - Φ(1)

To calculate this, we need to look up the values of Φ(2) and Φ(1) from a standard normal distribution table or use a calculator/computer software. However, since I don't have access to real-time computations in this environment, I am unable to provide the exact numerical value.

But you can use statistical software or online calculators to find the precise value. Alternatively, you can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

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A two-way table, also known as a contingency table, is a table that displays the frequency distribution of two categorical variables.

The table has rows representing one variable and columns representing the other variable. The cells in the table show the frequencies or counts for each combination of categories of the two variables.

For example, consider a survey of 100 people that asks about their favorite color and favorite food. A two-way table can be constructed to display the frequency of each combination of favorite color and favorite food. The table would have rows representing favorite color (e.g., red, blue, green) and columns representing favorite food (e.g., pizza, sushi, tacos). The cells in the table would show the number of people who chose each combination of color and food.

So, a two-way table doesn't necessarily display different variables for the input at the time, but rather it displays the frequencies of different combinations of two categorical variables.

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The image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin is (-24, -8).

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

To find the image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin, we can use the following formula:

(x', y') = (kx, ky)

where (x, y) are the coordinates of the original point, (x', y') are the coordinates of the image after dilation, k is the scale factor, and (0, 0) is the center of dilation.

Substituting the values given in the problem, we get:

(x', y') = (4*(-6), 4*(-2))

Simplifying,

(x', y') = (-24, -8)

Therefore,

The image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin is (-24, -8).

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Answer:

30

Step-by-step explanation:

3 snow cones per 0.5 pounds of ice

0.5 pounds of ice x 10 = 5 pounds of ice

3 snow cones X 10 = 30 snow cones.

Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

The solution to the given inequality that is x+4y<4 is (-8,-2) as it only gives the correct result for the equation.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity. This shows that the left part, 5x 4, is bigger than the right part, 2x + 3. An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

Here,

x+4y<4

(-8,-2)

-8+4*-2=-16<4

The provided inequality, x+4y4, has a solution of (-8,-2) because it alone provides the solution to the equation.

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Answer:

0% of 108 = 0

100% of 108 = 108

Step-by-step explanation:

0% of 108

= ( 0 / 100 ) x 108

= 0 x 108

= 0

100% of 108

= ( 100 / 100 ) x 108

= 1 x 108

= 108

The polygon will have 9 sides.

The required polygon is a nonagon.

A polygon is named on the basis of the number of sides it has, as a polygon having 5 sides is a pentagon, a polygon having 6 sides is a hexagon, a polygon having 7 sides is a heptagon, and so on., and the addition of their interior angles is (n - 2) 180°.

To identify the polygon, we need to know the number of sides of the polygon. We know that the sum of internal angles of an n - sided polygon is

(n - 2) 180°.

For the given polygon, the internal angles added up to 1260 degree. Equate  (n - 2) 180° to 1260 degree and solve the resulting equation for n.

(n - 2) 180° = 1260°

n - 2 =  1260°/ 180°

n - 2 = 7

n = 7 + 2

n = 9

The given polygon will have 9 sides.

=> The required polygon is a nonagon.

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The percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

The expression \(25(0.93)^x\)represents the height of the ball after x bounces. To find the percent change in height after each bounce, we need to calculate the ratio of the change in height to the original height and express it as a percentage.

Let's denote the height after the first bounce as h_1, the height after the second bounce as h_2, and so on.

The percent change in height after the first bounce is given by:

Percent change = [(h_1 - original height) / original height] * 100%

Using the given expression, we can substitute x = 1 to find h_1:

h_1 = \(25(0.93)^1\) = 23.25

Therefore, the percent change in height after the first bounce is:

Percent change = [(23.25 - original height) / original height] * 100%

To find the percent change after subsequent bounces, we can continue this process. For example, after the second bounce:

h_2 = \(25(0.93)^2\)

And the percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

You can repeat this process for each subsequent bounce to find the percent change in height after each bounce using the given expression.

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Answer:

For the first one, Noah's actions were accecptable. For the second one, Noah made a mistake.

Step-by-step explanation:

In the second equation, Noah failed to get x on one side of the equal sign. In his third step, he should have subtracted  2x from both sides instead of 10. Correct answer below:

2(5 + x ) - 1 = 3x + 9            original equation

10 + 2x -1 = 3x + 9               apply the distributive property

10 - 1 = x + 9                        subtract 2x from both sides

9 = x + 9                              subtract 1 from 10

0 = x                                   subtract 9 from both sides

The value (−1,7) is equal to 4. In the limit, when (x,y) is equal to (−1,7), the value of f(x,y) is the same as the limit, which is 4. Therefore, the value of f(−1,7) is 4.

Since the limit of f(x,y) as (x,y) approaches (−1,7) is 4, that means that as (x,y) gets closer and closer to (−1,7) the value of f(x,y) gets closer and closer to 4. Therefore, when (x,y) is equal to (−1,7), the value of f(x,y) is 4.

The limit of the function f(x,y) as (x,y) approaches (−1,7) is 4, which means that as (x,y) gets closer and closer to (−1,7), the value of f(x,y) gets closer and closer to 4. In the limit, when (x,y) is equal to (−1,7), the value of f(x,y) is the same as the limit, which is 4. Therefore, the value of f(−1,7) is 4.

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Answer:

Its C -7/8

Step-by-step explanation:

I am pretty sure.

Answer: 7/8

Step-by-step explanation:

The fractions are

-1/8, -5/8, -7/8, or -3/8​

We will convert each fraction to decimal.

-1/8 = - 0.125

- 5/8 = - 0.625

- 7/8 = - 0.875

- 3/8 = - 0.375

Arranging the decimals in an increasing order, it becomes

- 0.875, - 0.625, - 0.375, - 0.125

So the lowest fraction is

- 0.875 = - 7/8

suppose that x is a normal random variable with a mean of 5. if p{x > 9} = .2, So, the approximate variance of the normal random variable X is 22.66.

To find the variance of a normal random variable X with mean 5 and given P(X > 9) = 0.2, we will follow these steps:

1. Recognize that X follows a normal distribution: X ~ N(μ, σ²), where μ = 5 and σ² is the variance we want to find.

2. Convert the probability statement P(X > 9) = 0.2 to a standard normal distribution (Z) by finding the corresponding Z-score:
  Z = (X - μ) / σ

3. Look up the Z-score that corresponds to the given probability (0.2) in a standard normal (Z) table. Since the table typically gives P(Z < z), we'll find P(Z < z) = 1 - 0.2 = 0.8. The corresponding Z-score is approximately 0.84.

4. Plug in the known values and solve for σ:
  0.84 = (9 - 5) / σ
  σ ≈ 4 / 0.84
  σ ≈ 4.76

5. Finally, find the variance, which is σ²:
  σ² ≈ 4.76²
  σ² ≈ 22.66

So, the approximate variance of the normal random variable X is 22.66.

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The approximate variance of the normal random variable X is the square of the standard deviation:

Var(X) ≈ \((4.76)^2\) ≈ 22.65 (rounded to two decimal places).

To approximate the variance of the normal random variable X with a mean of 5, given that P(X > 9) = 0.2, we can use the z-score and standard normal distribution.

First, we calculate the z-score using the standard normal distribution formula:

z = (X - μ) / σ

where X is the value of interest (in this case, 9), μ is the mean (5), and σ is the standard deviation.

Plugging in the values, we get:

z = (9 - 5) / σ = 4 / σ

Next, we use the standard normal distribution table or a calculator to find the z-score that corresponds to a cumulative probability of 0.2. Let's assume that z = -0.84.

Now, we can use the z-score formula to solve for the standard deviation σ:

-0.84 = 4 / σ

Cross-multiplying, we get:

-0.84σ = 4

Dividing both sides by -0.84, we get:

σ ≈ 4 / -0.84 ≈ -4.76

Since the standard deviation cannot be negative, we discard the negative value and take the absolute value, resulting in:

σ ≈ 4.76

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Answer:

m∠T = 68°

m∠U = 95°

m∠V = 112°

m∠W = 85°

Step-by-step explanation:

m<V = (14z - 7)°

m<W = 10z°

m<T = 8z°

Recall that the sum of the opposite angles of a cyclic quadrilateral equals 180°.

Therefore:

(14z - 7)° + 8z° = 180°

Find z

14z - 7 + 8z = 180

22z - 7 = 180

22z = 180 + 7

22z = 187

22z/22 = 187/22

z = 8.5

Step-by-step explanation:

6,000,000-300=5,999,700

Answer:

5,999,700 millones

Step-by-step explanation:

Resta 6 ,millones a 300

Based on the given scenario, the following measurements are accurate:

1. The distance from the man's feet to the base of the monument is 185√3 feet.

2. The distance from the man's feet to the top of the monument is 1,110 feet.

The first accurate measurement states that the distance from the man's feet to the base of the monument is 185√3 feet. This measurement indicates the length of one of the sides of the triangle formed by the man, the base of the monument, and the top of the monument.

The second accurate measurement states that the distance from the man's feet to the top of the monument is 1,110 feet. This measurement represents the height of the monument from the man's position.

The other options provided in the scenario are not accurate based on the given information. The statement that the distance from the man's feet to the top of the monument is 370√3 feet contradicts the previous accurate measurement, which states it as 1,110 feet. Similarly, the statement that the distance from the man's feet to the base of the monument is 277.5 feet conflicts with the previous accurate measurement of 185√3 feet.

Regarding the last statement, it is not possible to determine from the given information whether the segment representing the monument's height is the longest segment in the triangle. The lengths of the other sides of the triangle are not provided, so we cannot make a comparison to determine the longest segment.

To summarize, the accurate measurements based on the scenario are the distance from the man's feet to the base of the monument (185√3 feet) and the distance from the man's feet to the top of the monument (1,110 feet).

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Ben Collins plans to buy a house for $184,000, and if the real estate in his area is expected to increase in value by 3 percent each year, its approximate value will be around $208,943.95 six years from now.

To calculate the approximate value of the house six years from now, we can use the formula for compound interest: \(\(A = P(1 + r/n)^{nt}\), where \(A\)\) is the future value, \(\(P\\)) is the principal amount, \(\(r\)\) is the annual interest rate (expressed as a decimal), \(\(n\)\) is the number of times that interest is compounded per year, and \(\(t\)\) is the number of years.

In this case, the principal amount is $184,000, the annual interest rate is 3 percent (or 0.03 as a decimal), the compounding is done annually \((so \(n = 1\))\), and the time period is 6 years. Plugging these values into the formula, we get:

\(\(A = 184,000(1 + 0.03/1)^{(1)(6)}\)\)

Simplifying the equation, we have:

\(\(A = 184,000(1.03)^6\)\)

Evaluating this expression, we find:

\(\(A \approx 208,943.95\)\)

Therefore, the approximate value of the house six years from now would be around $208,943.95, assuming a 3 percent annual increase in real estate value.

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Answer:

£35020

Step-by-step explanation:

34000 x 0.03 = 10200

Increase =  £1020

1020 + 34000 = 35020

He will get £35020 per year

Answer:

I think its 27

Step-by-step explanation:

If the vurrent cost is 15 then it took 27 dollars off the original amount