Solve the equation below and find the variation constant, k. Find x when y = 32, if y varies inversely as x, and y = 10 when x = 40

Answer:

Hi

The answers is

W=36 ÷ 4

These journal entries reflect the transactions of DS Unlimited in August, assuming the company uses a perpetual inventory system.

Based on the provided information, here are the journal entries for the transactions of DS Unlimited:

August 6:

Accounts Payable (GameGirl, Inc.) 24,080.00

Inventory 24,080.00

To record the purchase of 86 handheld game devices on account from GameGirl, Inc. ($280 each).

August 7:

Accounts Payable (Sure Shipping) 480.00

Cash 480.00

To record the payment of freight charges to Sure Shipping.

August 10:

Inventory 1,680.00

Accounts Payable (GameGirl, Inc.) 1,680.00

To record the return of six defective game devices to GameGirl, Inc.

August 14:

Accounts Payable (GameGirl, Inc.) 24,080.00

Cash 23,579.20

Inventory 500.80

To record the payment of the full amount due to GameGirl, Inc. after deducting the discount of 1% ($24,080 * 0.01 = $240).

August 23:

Accounts Receivable 19,800.00

Sales 19,800.00

Cost of Goods Sold 18,691.00

Inventory 18,691.00

To record the sale of 66 game devices to customers on account ($300 each) and the corresponding cost of goods sold ($18,691).

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The BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

BMI stands for Body Mass Index.

It's a measure of body fat based on height and weight that applies to both adult men and women.

BMI is an easy-to-perform screening tool for body fat levels that can help identify individuals who have health risks linked with excess body fatness.

It's important to keep in mind that the BMI measurement should not be used as a diagnostic tool for health conditions and is only one component in an overall evaluation of a person's health status.

Using the formula below, we can calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall: BMI = (weight in pounds / (height in inches x height in inches)) x 703

First, we need to convert the height into inches:5 feet 4 inches = 64 inches

Next, we plug the values into the formula and solve for the BMI:

BMI = (118 / (64 x 64)) x 703BMI = (118 / 4,096) x 703BMI = 0.0288 x 703BMI = 20.2464

Therefore, the BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

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Answer:

500 £

Step-by-step explanation:

If n is number of years then its original value would be after 0 years.

Substitute n = 0

1.28^0 =1

Solve

500 * 1 = 500

The probability of landing on a multiple of 4 or a multiple of 7 when spinning the game spinner with 15 equal sectors can be calculated as 2 over 15 or 2/15. This means that out of the 15 possible outcomes, there are two favorable outcomes.

1. In probability theory, the probability of an event happening is determined by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the favorable outcomes are the numbers that are either multiples of 4 or multiples of 7.

2. To find the multiples of 4, we can consider the numbers 4, 8, 12 as they are evenly divisible by 4. To find the multiples of 7, we can consider the numbers 7 and 14. Therefore, there are a total of five favorable outcomes (4, 8, 12, 7, and 14).

3. Since the spinner has 15 equal sectors, the total number of possible outcomes is 15. Therefore, the probability of landing on a multiple of 4 or a multiple of 7 is 2/15.

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Answer:

A: -3/2

Step-by-step explanation:

-4x²-12x-9=0 First split the b value so that it equals a×c, or -4×-9

-4x²-6x-6x-9=0 Factor by grouping

(-2x-3)(2x+3)=0 Solve for x

x= -3/2

Therefore (b). A chi-square statistic is always positive as it is the sum of squared deviations from expected values.

However, it can contain fractions or decimal values as it is based on continuous data. The chi-square distribution is skewed to the right and its shape depends on the degrees of freedom. The possible values for a chi-square statistic depend on the sample size and the number of categories in the data. In general, larger sample sizes and more categories will result in larger chi-square values. It is important to note that a chi-square statistic cannot be negative as it is the sum of squared deviations. Therefore, options (a) and (c) are incorrect. In conclusion, the correct answer is (b) and it is important to understand the properties and interpretation of chi-square statistics in statistical analysis.

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Answer:

Step-by-step explanation:

Step-by-step explanation:

Florence Nightingale OM RRC DStJ was an English social reformer, statistician and the founder of modern nursing. Nightingale came to prominence while serving as a manager and trainer of nurses during the Crimean War, in which she organised care for wounded soldiers at Constantinople.

Developers determine the specifics of how to build a system in the design phase. b

The design phase and its importance:
Define Objectives:

The design phase begins after the completion of the analysis phase, where developers have gathered and evaluated requirements.

The main objective of the design phase is to create a blueprint for the system that addresses all identified requirements.
Create Architectural Design:

During this step, developers establish the overall structure of the system, including its components, their relationships, and the interactions between them.

This architectural design provides a high-level view of the system's organization.
Design System Components:

With the architectural design in place, developers focus on designing individual components or modules of the system. They create detailed specifications, which include the functionality, inputs, outputs, and processes for each component.
Design User Interface:

The user interface design involves creating a user-friendly and efficient way for end-users to interact with the system. This can include designing screen layouts, menus, buttons, and other interface elements.
Validate Design:

The final step in the design phase is to ensure that the proposed design meets all the requirements identified during the analysis phase.

Developers may use various methods, such as reviews and simulations, to validate their design before proceeding to the implementation phase.
The design phase is a crucial part of the system development process, as it defines how the system will be built, ensuring it meets the needs of its users and the project's objectives.

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Answer:

a

Step-by-step explanation:

to find the missing side x , subtract the sum of the 5 given sides from the given perimeter.

x = 137 - (39 + 37 + 12 + 10 + 13) = 137 - 111 = 26 m

A figure has a line symmetry if a line, called the axis of symmetry, divides the figure into two parts that are mirror images of each other.

A figure is said to have line symmetry if there exists a line within the figure called the axis of symmetry. This axis divides the figure into two parts that are mirror images of each other. In other words, if you were to fold the figure along the axis of symmetry, the two resulting halves would perfectly overlap and match. When a figure has line symmetry, it means that one half of the figure is a reflection of the other half across the axis of symmetry. This characteristic creates a balanced and harmonious appearance in the figure.

For example, think of the uppercase letter "A". If you draw a vertical line through the center of the letter, it becomes apparent that the left half is a mirror image of the right half. This vertical line serves as the axis of symmetry for the letter "A". Line symmetry is also commonly observed in shapes such as squares, rectangles, circles, and many others. Understanding line symmetry helps us analyze and identify patterns in various geometric figures and designs.

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Answer: 4

Step-by-step explanation:

To find the area enclosed by the figure, we first need to find the area of  the square and the  area of each semicircle.

The area of the square is simply the length of one of its sides squared, which is:

54 m x 54 m = 2,916 m²

The area of each semicircle is half the area of a full circle with the same radius as the side of the square. The radius of each semicircle is 54 m/2 = 27 m.

The area of each semicircle is:

1/2 x π x 27 m² = 1/2 x 3.14 x 27 m x 27 m ≈ 1,442.31 m²

Since there are four semicircles, the total area of the semicircles is:

4 x 1,442.31 m² = 5,769.24 m²

Therefore, the total area enclosed by the figure is:

2,916 m² + 5,769.24 m² ≈ 8,685.24 m²

Frank's answer of 1,662.12 m² is significantly less than the actual area. He may have made the mistake of only calculating the area of one of the semicircles instead of all four, or he may have forgotten to include the area of the square.

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Answer:

x = -5/2  + root(33)/2   or   x = -5/2 - root(33)/2

Step-by-step explanation:

ok so your computer is

saying:

x^2  + 5x = 2

and takes the 5 divides it by 2  and squares the result

x^2  + 5x  +  25/4    =   2 + 25 /4   but then   replaces a trinomial with a binomial

(x + 5/2)^2  =  2 + 25/4 =  33/4

solving

x = -5/2  + root(33/4)   or   x = -5/2 - root(33/4)

or

x = -5/2  + root(33)/2   or   x = -5/2 - root(33)/2

Answer:

C and D

Step-by-step explanation:

correct on edge

Answer:

what

Step-by-step explanation:

The age of the grandson is 7 years and the grandfather is 84 years if the grandson's age in months is equal to the age of grandpa in years and the difference in age is 77.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the age of the grandsons is x years and

age of the grandfather's age is y years

Here some data are misprinted, so we are assuming the grandson's age in months is equal to the age of grandpa in years and the difference in age is 77.

Then according to the problem:

12x = y  (as in 1 year, there are 12 months)

y -x = 77 (as difference in age is 77)

After solving both equations, we get:

x = 7 years and y = 84 years

Thus, the age of the grandson is 7 years and the grandfather is 84 years if the grandson's age in months is equal to the age of grandpa in years and the difference in age is 77.

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Answer:

3 and 6

Step-by-step explanation:

1.) 4r=12

r=3

2.) 4r+3=r+21

3r+3=21

3r=18

r=6

Answer:

103.5

Step-by-step explanation:

Answer:

103.5

Step-by-step explanation:

The question is,

→ what is 1656 divided by 16?

Forming as problem,

→ 1656 ÷ 16

Let's solve the problem,

→ 1656 ÷ 16

→ 103.5

Thus, the answer is 103.5.

Answer:

B

Step-by-step explanation:

Yes, the study group can claim a normal distribution of the sample means.

This is because when a group takes random samples from a population that has a normal distribution, the means of those samples will also follow a normal distribution. The reason for this is due to the Central Limit Theorem, which states that when a large enough number of samples are taken from a population, the distribution of the sample means will become more and more normal.

Since the study group is taking 20 random samples of 15 from a population with a normal distribution, it can be assumed that the means of the sample will have a normal distribution.  Therefore, when the study group draws 20 random samples of 15 from a population that has a normal distribution, they can be certain that the sample means will also follow a normal distribution.

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In CASE 1, the sides of the rectangle are approximately 159.25 inches (5x) and 63.7 inches (2x).

In CASE 2, the sides of the rectangle are approximately 63.7 inches (2x) and 159.25 inches (5x).

In the given problem, we have a right isosceles triangle with a hypotenuse length of 45 inches. Let's consider the two cases separately:

CASE 1:

Let the sides of the rectangle be 5x and 2x. Since the rectangle is inscribed in the right isosceles triangle, the longer side of the rectangle (5x) will be parallel to the hypotenuse of the triangle.

Using the Pythagorean theorem, we can determine the length of the legs of the right isosceles triangle:

leg^2 + leg^2 = hypotenuse^2

x^2 + x^2 = 45^2

2x^2 = 45^2

x^2 = (45^2) / 2

x^2 = 1012.5

x ≈ 31.85

CASE 2:

Let the sides of the rectangle be 2x and 5x. In this case, the shorter side of the rectangle (2x) will be parallel to the hypotenuse of the triangle.

Using the same approach as in CASE 1, we can find:

x^2 + x^2 = 45^2

2x^2 = 45^2

x^2 = (45^2) / 2

x^2 = 1012.5

x ≈ 31.85

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Answer:

y - 1 = 1/2(x -5)

Just took the test, hope this helps!

Answer:

above is correct the letter answer is C on edg2020

Step-by-step explanation:

edg2020

Answer: y=2x-3

The model for a pen equation of a line is y=mx+b. ”m” is the slope and ”b” is the y-intercept. Since we know the slope is 2, y=2x+b. To find the value of b, substitute the given point into the equation. So, 1=2(2)+b, 1=4+b, b=-3. The equation of the line is y=2x-3.

:)

Answer:

y=2x-3

Step-by-step explanation:

Use the point slope formula to pass through the correct point of (2,1)

y-y1=m(x-x1)

y1 is the y value of the point you're trying to pass

m is the required slope

x1 is the x value of the point you're trying to pass

In this case, y1 would be 1, m would be 2, and x1 would be 2. Plug those values in.

y-1=2(x-2)

Distribute.

y-1=2x-4

Addition property of equality (add 1 to both sides to isolate y).

y=2x-3

There is your equation!

A greenhouse is an enclosed structure made of glass or plastic, designed to provide an environment that is conducive to plant growth. The controlled conditions in a greenhouse allow plants to thrive and reach their full potential. In this scenario, a large number of poinsettia plants are being grown in the greenhouse, and an employee is monitoring their growth.

To estimate the average height of all the poinsettia plants growing in the greenhouse, the employee selects 100 of them at random to measure. The plants have an average height of 5.5 inches, with a standard deviation of 2 inches.

To calculate a 90%-confidence interval for the average height of all the poinsettia plants growing in the greenhouse, we can use the formula:

CI = x ± z(α/2) * (σ/√n)

Where:
- x is the sample mean (5.5 inches)
- z(α/2) is the z-score associated with the level of confidence (90% confidence interval = 1.645)
- σ is the population standard deviation (2 inches)
- n is the sample size (100)

Plugging in the values, we get:

CI = 5.5 ± 1.645 * (2/√100)
CI = 5.5 ± 0.329
CI = (5.17, 5.83)

Therefore, we can say with 90% confidence that the average height of all the poinsettia plants growing in the greenhouse falls between 5.17 and 5.83 inches. This means that if we were to repeat the sampling process multiple times, 90% of the resulting confidence intervals would contain the true population mean.

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According to the question given, the virus is 10⁻⁹ meter long.

Given that a species of bacteria is 10⁻⁶ micrometers long, a virus is 10,000 times smaller than it,

We need to find the length of virus in meter.

To find the length of the virus in meters, we'll start with the length of the bacteria, which is given as 10 micrometers.

We know that 1 micrometer is equal to 10⁻⁶ meters. Therefore, the length of the bacteria in meters can be calculated as:

10 micrometers x (10⁻⁶ meters / 1 micrometer) = 10⁻⁵ meters

Now, we're given that the virus is 10,000 times smaller than the bacteria. So, to find the length of the virus, we need to divide the length of the bacteria by 10,000:

(10⁻⁵ meters) / 10,000 = 10⁻⁹ meters

Hence, the length of the virus is 10⁻⁹ meters.

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The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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The probability of XY3 system working, P(XY3 works) = probability that both the conditions are metP(XY3 works) = ((1-q)³ + (1-q)) (1-q/2)P(XY3 works) = 3/4-3q/8-q²/4

(i)A block diagram for the given system operation is given below:Figure: Block diagram for the given system operationWe know that:q is the probability of failure for each component1-q is the probability of success for each component.

(ii) Probability of the XY system workingWe have two conditions for the system to work:

Condition 1: Components A, B, and C all work, or component D worksProbability that component A, B, and C work together= (1-q) x (1-q) x (1-q) = (1-q)³Probability that component D works = 1-qProbability that the condition 1 is met = (1-q)³ + (1-q).

Condition 2: Either component E or component F worksProbability that component E or component F works = (1 - (1-q)²) = 2q-q²Probability that the condition 2 is met = 2q-q²Therefore, the probability of XY system working, P(XY works) = probability that both the conditions are met = (1-q)³ + (1-q) x (2q-q²)P(XY works) = 1-3q²+2q³.

(iii) Assuming one of the components is highly reliable and has a failure probability of q/2, the probability of P (XY1 works), P (XY2 works), and P ( XY3 works) if the component A, D, and E are replaced respectivelyComponent A has failure probability q. It is replaced by a highly reliable component which has a failure probability of q/2.

We need to find P(XY1 works)Probability that condition 1 is met = probability that component B and C both work together + probability that component D worksP(A works) = 1/2Probability that component B and C both work together = (1-(q/2))²Probability that component D works = 1 - q/2Probability that the condition 1 is met = (1-q/2)² + 1-q/2Probability that condition 2 is met = probability that component E works + probability that component F works= 1- q/2.

Therefore, the probability of XY1 system working, P(XY1 works) = probability that both the conditions are metP(XY1 works) = (1-q/2)² (1-q/2) + (1-q/2) (1-q/2)P(XY1 works) = 3/4-3q/4+q²/4Component D has failure probability q.

It is replaced by a highly reliable component which has a failure probability of q/2.We need to find P(XY2 works)Probability that condition 1 is met = probability that component A, B, and C all work together + probability that component D worksP(D works) = 1/2Probability that component A, B, and C all work together = (1-(q/2))³

Probability that the condition 1 is met = (1-q/2)³ + 1/2Probability that condition 2 is met = probability that component E works + probability that component F works= 1- q/2Therefore, the probability of XY2 system working, P(XY2 works) = probability that both the conditions are metP(XY2 works) = (1-q/2)³ + (1-q/2)P(XY2 works) = 7/8-7q/8+3q²/8Component E has failure probability q. It is replaced by a highly reliable component which has a failure probability of q/2.

We need to find P(XY3 works)Probability that condition 1 is met = probability that component A, B, and C all work together + probability that component D worksP(E works) = 1/2Probability that condition 1 is met = (1-q)³ + (1-q)Probability that condition 2 is met = probability that component E works + probability that component F works= 1- q/2.

Therefore, the probability of XY3 system working, P(XY3 works) = probability that both the conditions are metP(XY3 works) = ((1-q)³ + (1-q)) (1-q/2)P(XY3 works) = 3/4-3q/8-q²/4.

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Answer:

With bar charts, each column represents a group defined by a categorical variable; and with histograms, each column represents a group defined by a continuous, quantitative variable.

Step-by-step explanation:

hope that helps

Answer:

B is the answer

Step-by-step explanation:

hope this help no explain needed