Solve.
4) In three years, Bob will be twice as old as
his brother is now. Bob's brother is 10.
How old is Bob?

6x = 56.89

x = 56.89 / 6

x = 9.48 per shirt

The amount of the mark up is $66 and the selling price is $286.

The amount by which a product's cost is raised to determine its selling price is known as the markup percentage. Usually, it is represented as a percentage of the item's price. Markup percentage is determined by the following equation:

Markup percentage = (Selling price - Cost price) / Cost price x 100%

Given that, the mark up is 30%.

Thus,

Mark up = 0.3 x $220 = $66

The selling price is:

Selling price = $220 + $66 = $286

Hence, the amount of the mark up is $66 and the selling price is $286.

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Answer and Step-by-step explanation:

We want to prove that 0.5555... = 5/9.

First, let's set 0.555... equal to x:

x = 0.555...

Now multiply this by 10:

10x = 5.555...

Now subtract the original from this new one:

   10x = 5.555...

-       x = 0.555...

______________

     9x = 5

Note that we could cancel all the recurring terms because they were the same for both 5.555... and 0.555... since the 5's go up to infinity.

We now have 9x = 5, so divide both sides by 9:

x = 5/9, as desired

Answer:

241

Step-by-step explanation:

Let's we write down the expression:

\( {2}^{8} - 10 - 15 \div 3\)

2×2×2×2×2×2×2×2 = 256

15 ÷ 3 = 5

256 - 10 - 5 = 241

To calculate Poisson probabilities, you need the mean value (λ) of the distribution. Mean = average # of events in fixed interval/space. The Poisson PMF calculates event probability based on mean value and number of events in a given interval or space.

To calculate Poisson probabilities, use the formula with λ and k values. Determine λ based on context or problem. Use data to calculate mean by taking the average.

The Poisson experiment is linked to a random variable labeled as X, which is the numerical value representing the frequency of occurrences within a specific timeframe. The Poisson distribution utilizes λ as the mean number of events that occur within a given timeframe. A Poisson probability distribution has an average of λ, which is also the mean, and a standard deviation of √λ.

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Answer:

450 = (15·x) -50

Step-by-step explanation:

You know that the TV cost $450

She already have $50

you know she saves $15/month

Given the expression :

The expression will be equal:

so, the answer is option 4)

Omar has 16 apples and 14 bananas according to the table, as it satisfies the equation a + b = 30 and aligns with the given condition of four times as many apples as bananas.

By analyzing the table, we can observe the combinations of values for a (apples) and b (bananas) that satisfy the equation a + b = 30. From the given options, we need to find the combination that satisfies this equation.

By examining the table, we find that the combination of 16 apples and 14 bananas satisfies the equation since 16 + 14 = 30.

Therefore, Omar has 16 apples and 14 bananas based on the table's information. This combination aligns with the statement that Omar has four times as many apples as bananas, as 16 is indeed four times 4.

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Answer:

58y

Step-by-step explanation:

trust :)

Answer:

c hope this helps!

Step-by-step explanation:

The dimensions of the rectangular storage room are 13 feet by 5 feet.

Let's start by using the formula for the area of a rectangle, which is:
Area = Length x Width
We know that the area of the room is 65 square feet, so we can write:
65 = Length x Width
Now, we also know that the length of the room is 8 feet longer than its width. We can represent this using the equation:
Length = Width + 8
We can substitute this expression for length into our equation for the area, giving:
65 = (Width + 8) x Width
Expanding the brackets, we get:
65 = Width^2 + 8Width
Rearranging this equation into standard quadratic form (with the squared term first), we get:
Width^2 + 8Width - 65 = 0

To solve for the width, we can use the quadratic formula:
Width = (-b ± sqrt(b^2 - 4ac)) / 2a
In this case, a = 1, b = 8, and c = -65. Plugging these values in, we get:
Width = (-8 ± sqrt(8^2 - 4(1)(-65))) / 2(1)

Simplifying under the square root, we get:
Width = (-8 ± sqrt(324)) / 2
Width = (-8 ± 18) / 2
This gives us two possible solutions for the width:
Width = 5 or Width = -13

Since the width of a room cannot be negative, we can discard the second solution and conclude that the width of the room is 5 feet.
Now, to find the length, we can use the expression we derived earlier:
Length = Width + 8
Substituting in the value we just found for the width, we get:
Length = 5 + 8
Length = 13

Therefore, the dimensions of the rectangular storage room are 13 feet by 5 feet.

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Answer:

\( mean = \frac{56 + 21 + 55 + 30 + 34}{5} \\ mean = 39.2\)

If the three-year present value annuity factor is 2.673 and the two-year present value annuity factor is 1.833, The present value of $1 received at the end of the three years is b.$ 0.84

To solve this problem, we use the formula for the  present value of an annuity: PV = (PVAF(3 years)- PVAF(2 years) )* A, where A is the amount  received each period and PVAF is the present value annuity factor and PV is the present value.

In this case, we are given PVAF for a three-year annuity and a two-year annuity. we can use these to calculate the present value of $! received at the end of the third  year as follows:

PV= (PVAF(3 years)- PVAF(2 years) )* A

PV = (2.673 - 1.833) × (1) = 0.84.

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If the three-year present value annuity factor is 2.673 and the two-year present value annuity factor is 1.833, what is the present value of $1 received at the end of the three years? A. $1.19 B. $0.84 C. $0.89 D. $0.92

The probability of having three or more consecutive years with two or fewer compressor failures per year is about 6.16%.

Clark Property Management should expect to experience some consecutive years with higher compressor failure rates.

Let X represent the number of AC compressor failures. Thus, the probability distribution of X is as follows :

Number of Compressor Failures Probability (Relative Frequency)

0 0.061 0.132 0.253 0.284 0.205 0.076 0.01.

We will select two-digit random numbers from a table of random numbers. We will simulate 20 years of compressor failure.

As a result, there will be a total of 20 values of X, each representing a year's worth of data.

We may now determine whether it is typical to have three or more consecutive years with two or fewer compressor failures per year.

The Monte Carlo simulation is used to complete this task. We may use an online random number generator if a table of random numbers is not available.

Monte Carlo simulation is a statistical modeling method that employs random sampling techniques to simulate the output of a complicated system.

It is a stochastic modeling technique that allows for uncertainty and risk evaluation in complex systems where deterministic methods are insufficient.

Monte Carlo simulation generates random input values for a system with a mathematical model, allowing it to calculate possible outcomes.

These results are then used to generate probability distributions of potential results.

In essence, the Monte Carlo simulation is an experiment conducted on a computer that provides insight into the degree of risk related to decision-making.

1. Set up a model: Determine the system and create a mathematical model that will be utilized in the Monte Carlo simulation.

2. Define input values: Identify the variables that will affect the model's output and define input probability distributions for each.

3. Generate random numbers: Using the input probability distributions, generate random numbers for each variable

4. Run simulations: Run a large number of simulations using the random numbers generated in step 3.

5. Analyze the results: Using the outputs of the Monte Carlo simulation, estimate potential outcomes and the likelihood of different results.

6. Make decisions: Use the data and insights obtained from the Monte Carlo simulation to inform your decision-making.

After conducting the Monte Carlo simulation, it was determined that it is unusual to have three or more consecutive years with two or fewer compressor failures per year.

The probability of having three or more consecutive years with two or fewer compressor failures per year is about 6.16%.

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Claire experiences apprehension and fear during the anticipatory socialization phase of socialization when her boss proposes putting her on a task force at work, due to her negative group experiences in college.

Anticipatory socialization is the phase in the socialization process where individuals anticipate and prepare for their future roles and experiences in a particular social group or setting.

It involves forming expectations, attitudes, and behaviors based on past experiences and knowledge.

In Claire's case, her negative group experiences in college, where she often ended up doing most of the work and faced poor communication within the group, have shaped her expectations and attitudes towards group work.

As a result, when her boss proposes putting her on a task force at work, Claire immediately feels apprehensive and fearful.

She anticipates that she may face similar challenges, such as an uneven distribution of workload and ineffective communication, which could negatively impact her experience in the task force.

During the anticipatory socialization phase, individuals rely on their past experiences and perceptions to anticipate what they may encounter in a new social setting.

Claire's negative group experiences in college have influenced her apprehension and fear, as she expects the same difficulties to arise in the task force at work.

These emotions and concerns may impact her willingness to fully engage in the new group and could influence her interactions and behavior within the task force.

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Answer:

E = √(SZ).

Step-by-step explanation:

S=E^2/Z

Multiply both sides by Z:

SZ = E^2

E = √(SZ)

Answer:

Step-by-step explanation:

\(\frac{146}{\pi}\\ \\ \text{Pi is irrational and cannot be expressed as a ratio of two integers.}\\ \\ \frac{146}{\pi}\approx 46.47\)

Explanation

Step 1

apply distributive property

Step 2

add similar terms and order

so, the answer is

I hope this helps you

Answer: 11.76

Step-by-step explanation:  you have to divide by 12 everything and multiply by 6 and you can get the answer

because you have to flip the thing

Step-by-step explanation:

Since Total workers = Permanent + Temporary workers,

w = 44 + t.

Hence when t = 5, w = 44 + 5 = 49.

Answer:

\(\huge\boxed{\sf 2}\)

Step-by-step explanation:

Since these triangles are similar, we'll use proportion to find the unknown side.

\(\sf \frac{25}{10} = \frac{5}{?}\)

Cross Multiply

\(\sf ? * 25 = 10*5\)

Divide 25 to both sides

\(\sf ? = 50/25\\\\? = 2\)

\(\rule[225]{225}{2}\)

Hope this helped!

To find the five-number summary of the given sample data, we need to arrange the data in ascending order and then determine the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum values.

We can use these values to draw a boxplot, which provides a visual representation of the data's distribution. We can also identify any potential outliers, which are data points that fall significantly outside the range of the other data values.

The given sample data is: 1.1, 3.0, 4.1, 4.5, 4.8, 5.1, 5.1, 5.6, 5.9, 6.0, 6.3, 6.6, 6.8, 7.1, 7.8.

First, let's arrange the data in ascending order:

1.1, 3.0, 4.1, 4.5, 4.8, 5.1, 5.1, 5.6, 5.9, 6.0, 6.3, 6.6, 6.8, 7.1, 7.8

The five-number summary consists of the following values:

Minimum: 1.1

Q1 (First Quartile): 4.5

Median (Q2): 5.6

Q3 (Third Quartile): 6.6

Maximum: 7.8

To draw a boxplot, we use a number line and plot a box representing the interquartile range (IQR) between Q1 and Q3, with a vertical line at the median (Q2). We can then extend whiskers from the box to the minimum and maximum values. Any data points outside the whiskers are considered potential outliers.

In this case, there are no potential outliers as all the data points fall within the whiskers.

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Answer:

The correct statement is D

Answer:

option B is your answer

Step-by-step explanation:

I gotchu bro

I don't know either that's why I came here but there was no answer soooooooooooo

An inequality that expresses the interval of values that n may have is 7 < n < 17.

In Euclidean geometry, the Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than or equal (≥) to the third side of the triangle.

Mathematically, the Triangle Inequality Theorem is represented by this mathematical expression:

b - c < n < b + c

Where:

n, b, and c represent the side lengths of this triangle.

By applying the Triangle Inequality Theorem, the possible side lengths of the triangle's third side is given by:

b - c < n < b + c

12 - 5 < n < 12 + 5

7 < n < 17.

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Answer:

Step-by-step explanation:

14x + 11