Suppose 32 out of 90 people are bowlers and 3 out of every 16 of the bewlers bave their own bowling ball. At the same rates, in a group of 225 people, bow many would you expect to have a bowling ball?

The given information states that software architecture has been standardized to include five architectural segments, namely the operating system (OS), I/O services (IOS), and three additional segments not specified.

Software architecture has been standardized to have five architectural segments and two application program interfaces (APIs). The architectural segments consist of the operating system (OS), I/O services (IOS), and three additional segments that are not specified in the given information. These segments are typically designed to handle specific functionalities or components of the software system.

The operating system (OS) segment is responsible for managing the hardware resources and providing essential services to the software applications. It handles tasks such as memory management, process scheduling, file system management, and device drivers. The I/O services (IOS) segment is responsible for handling input and output operations, such as user interaction, data transfer between external devices and the software system, and file I/O operations.

The two application program interfaces (APIs) provide a means for different software components or modules to communicate and interact with each other. APIs define a set of functions, protocols, and data structures that enable the exchange of information and services between different software entities. They serve as an abstraction layer, allowing developers to build upon existing functionality without needing to understand the underlying implementation details.

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Answer- (5x-1)(2x+1)

let me know if you need to see work

Answer:

Step-by-step explanation:

3 = 307k

The slope of the regression line is  b=61.02 and y-intercept is a=3.12

Regression analysis is a set of statistical processes used to estimate the relationships between a dependent variable and one or more independent variables. Linear regression is the most popular type of regression analysis, in which one finds the line (or a more sophisticated linear combination) that best fits the data according to a certain mathematical criterion. The ordinary least squares method, for example, finds the unique line (or hyperplane) that minimizes the sum of squared discrepancies between the genuine data and that line (or hyperplane). This enables the researcher to estimate the

Given,

The regression line is y=3.12+61.02 s

Here the slope is b=61.02

The slope indicates that the distance is increased by 61.02 yards for every one mile per hour of the speed.

And the y-intercept is a=3.12

It is the distance estimated by this model if the speed is zero miles per hour.

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Mila will receive 68 EUROS of money after the exchange of 80 US dollar.

USD is the official money currency of united states of America.. its symbol of representation is $., also value of 1 US$ =82 rupee.

Unit of money used in other countries of European union is known as euro, also value of 1 EURO=87 rupee.

According to the given data in the question,

1 USD =0.85 EURO

80 USD = 0.85*80 EURO

80 USD= 68 EURO

Hence 80USD will be converted to 68 EUROS

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Answer:

C) y = 2/3x + 2

Step-by-step explanation:

first find the slope:

(0,2)

(3,4)

(4-2)/(3-0)

2/3

y = 2/3x + b

2 = 2/3(0) + b

b = 2

y = 2/3x + 2

Answer:

3/4

Step-by-step explanation:

Let the unknown number be x.

Subtract 1/2 from the unknown number: x - 1/2

Multiply the result by 1/2: 1/2(x - 1/2)

You get 1/8: 1/2(x - 1/2) = 1/8

Now we solve the equation for x.

1/2(x - 1/2) = 1/8

Multiply both sides by 2.

2 * 1/2(x - 1/2) = 2 * 1/8

x - 1/2 = 1/4

Multiply both sides by 4

4x - 4 * 1/2 = 4 * 1/4

4x - 2 = 1

Add 2 to both sides.

4x = 3

Divide both sides by 4.

x = 3/4

Answer: The number is 3/4.

The Fourier series of one period a(x) on \(-\pi\) to \(\pi\) is 23.096.

What is Fourier series ?

A fourier series is an expansion of a periodic function f(x) in terms of an infinite sum of sines and cosines. Fourier Series makes use of the orthogonality relationships of the sine and cosine functions. Expand the function f(x) = ex in the interval [ – π , π ] using Fourier series formula.

Have given,

a(x) on domain (\(-\pi ,\pi\))

Let ,

I = ∫\(\pi\) \(e^{x}\) dx

on integration

I = \([e^{x}]^{\pi }_{-\pi }\)

I = \(e^{\pi } - e^{-\pi }\)

I = 23.14 - 0.043

Thus, I = 23.096

The Fourier series of one period a(x) on \(-\pi\) to \(\pi\) is 23.096.

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The scatter plot shows the relationship between the number of smoothies sold and the high Temperature on that day. The graph displays a pattern of upward trend, indicating that as the temperature increases, the number of smoothies sold also increases.

A concession stand sells smoothies. The scatter plot shows the relationship between the number of smoothies sold and the high temperature on that day. The graph indicates a positive correlation between the two variables. The scatter plot displays a pattern of upward trend, suggesting that as the temperature increases, the number of smoothies sold also increases. Let's understand what scatter plots are and how they are useful in depicting data in detail.Scatter Plots:

Scatter plots are a graphical representation that displays data as a collection of points in a two-dimensional coordinate system. In simple terms, they use dots to show the relationship between two variables. They are useful in identifying patterns, trends, and correlation between variables. In the case of a concession stand selling smoothies, a scatter plot can be used to show the relationship between the number of smoothies sold and the temperature on that day.Positive Correlation:

Positive correlation indicates that as one variable increases, the other variable also increases. In the case of the concession stand selling smoothies, the scatter plot shows a pattern of upward trend, suggesting that as the temperature increases, the number of smoothies sold also increases. This means that the variables have a positive correlation, and an increase in one variable causes an increase in the other variable.

Therefore, we can conclude that the scatter plot shows the relationship between the number of smoothies sold and the high temperature on that day. The graph displays a pattern of upward trend, indicating that as the temperature increases, the number of smoothies sold also increases. The variables have a positive correlation, which means that an increase in one variable causes an increase in the other variable. Scatter plots are useful in identifying trends and patterns and can be used to depict data graphically.

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Answer:

5 hours

Step-by-step explanation:

31-11 = 20

20/4 = 5

To find ln(x³y) in terms of u and v, we can use the properties of logarithms. ln(x³y) can be rewritten as ln(x³) + ln(y), and using the property ln(a^b) = bˣ ln(a), we have 3ln(x) + ln(y) = 3u + v.

To find ln(x³y) in terms of u and v, we can use the properties of logarithms. ln(x³y) can be rewritten as ln(x³) + ln(y), and using the property ln(a^b) = bˣ ln(a), we have 3ln(x) + ln(y) = 3u + v.

The domain of the function f(x) = ln(x-3) is x > 3, since the natural logarithm is undefined for non-positive values. The x-intercept occurs when f(x) = 0, so ln(x-3) = 0, which implies x - 3 = 1. Solving for x gives x = 4 as the x-intercept.

There are no vertical asymptotes for the function f(x) = ln(x-3) since the natural logarithm is defined for all positive values. However, the graph approaches negative infinity as x approaches 3 from the right, indicating a vertical asymptote at x = 3.

To sketch the graph of f(x) = ln(x-3), we start with the x-intercept at (4, 0). We can plot a few more points by choosing values of x greater than 4 and evaluating f(x) using a calculator.

As x approaches 3 from the right, the graph approaches the vertical asymptote at x = 3. The graph will have a horizontal shape, increasing slowly as x increases. Remember to label the axes and indicate the asymptote on the graph.

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Answer:

A = 4

Step-by-step explanation:

4x2-20x=-3 and A(x2-5x)=-3

Hence:

4x2-20x = A(x2-5x)

4x^2 - 20x = A(x^2 - 5x)

Divide both sides by (x^2 - 5x) to isolate A:

(4x^2 - 20x)/(x^2 - 5x) = (x^2 - 5x) * A/(x^2 - 5x)  

A = (4x^2 - 20x)/(x^2 - 5x)

A = (4x(x - 5)) / (x(x - 5))  ==> factor each polynomial

A = (4x) / (x)   *   (x - 5)/(x - 5)

A = (4x) / (x)   *   1   ==> (x-5)/(x-5) = 1

A = (4x) / (x)

A = 4x/x  ==> simplify

A = 4

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Answer:

It will take him 7 hours to drive 441 miles

Step-by-step explanation:

Answer:

I wanna say 7 hours

Answer:

P=104

Step-by-step explanation:

-212+316=104

therefore p=104

The lower bound for the 95% confidence interval for the proportion of Android users who plan to get another Android phone is 0.463 .

It can be evaluated applying the formula

Lower Bound = Sample Proportion - Z-Score × Standard Error

Here

Sample Proportion
= 200/371 = 0.539

Z-Score = 1.96 (for a 95% confidence interval)

Standard Error = √[(Sample Proportion * (1 - Sample Proportion)) / Sample Size]
= √[(0.539 × (1 - 0.539)) / 371]
= 0.045
Therefore,

Lower Bound = 0.539 - 1.96 × 0.045 = 0.463
A confidence interval is a known as the specified range of values that is prone to contain an unknown population area with a certain degree of confidence.

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Answer:

4 C3 H6 ........................

The area of the circle is 1520.5 cm²

We have given the circle,

with a radius the radius =22cm.

We have to determine the area of the circle

The area of a circle is given by

\(A = \pi r^2\)

\(A = \pi ( 22) ^2\)

\(A = 484\pi\)

Since \(\pi =3.14\)

\(A=1520.5 \cm^2\)

Therefore, the area of the circle is 1520.5 cm².

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Using the conversion to find, the tank holds 379 liters.

In the given question,

There are about 3.79 liters in 1 gallon. Kendra’s fish tank contains 100 gallons of salt water.

We have to find how many liters the tank holds.

Firstly we learn about gallon

The gallon is a unit of volume.

We measure liquid things in gallon.

As given that

1 gallon = 3.79 liters

We have to find the 100 gallons in liters.

To find the 100 gallons in liters we multiply 100 by 3.79 because 1 gallons equal to 3.79 liters.

So 1 gallon = 3.79 liters

100 gallon = 100 × 3.79 liters

100 gallon = 379 liters

Hence, the tank holds 379 liters.

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(a) The total debt function is D(t) = 13(t+8)sqrt(t^2+16t) + C, where C is the constant of integration.

(b) The total debt will exceed $180,000 in approximately X years.

The given information provides us with the rate at which the company incurs debt over time, represented by D′(t) = 78(t+8)sqrt(t^2+16t) dollars per year. To find the total debt function, we need to integrate this rate function.

In the first step, we integrate D′(t) with respect to t. The integral of 78(t+8)sqrt(t^2+16t) is calculated to be 13(t+8)sqrt(t^2+16t) + C, where C represents the constant of integration.Now, let's delve deeper into the explanation of the main answer. The total debt function, D(t), is obtained by integrating the given rate function, D′(t), with respect to time. Integration involves finding the antiderivative of the rate function, which effectively accumulates the debt over time.

The integration process results in the function 13(t+8)sqrt(t^2+16t) + C, where C represents the constant of integration. This function provides a mathematical representation of the total debt at any given point in time since the company began.To clarify, the constant of integration, C, represents an unknown value that arises during integration. In this context, C accounts for any initial debt the company had before the specified time frame, t=0, and other factors not included in the given information. Thus, it allows for flexibility in accounting for additional variables.

To determine the number of years it takes for the total debt to exceed $180,000, we set the total debt function, D(t), greater than $180,000 and solve for the corresponding value of t. By substituting D(t) = $180,000 into the total debt function D(t) = 26(t^2 + 16t)^(3/2) + C, we can solve for the value of t. This will give us the approximate number of years it will take for the company's debt to exceed $180,000.

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Answer:

\(5\sqrt{7} \)

Step-by-step explanation:

\(\frac{30\sqrt{14} }{6\sqrt{2} } \)

Cancel out 6 in both numerator and denominator.

\(\frac{5\sqrt{14} }{\sqrt{2} } \) Rationalize the denominator of \(\frac{5\sqrt{14} }{\sqrt{2} } \) by multiplying the numerator and denominator by \(\sqrt{2} \).

\(\frac{5\sqrt{14}\sqrt{2} }{(\sqrt{2})^{2} } \)

The square of  \(\sqrt{2} \) is 2

Factor 14=2 × 7. Rewrite the square root of the product \(\sqrt{2x7} \) as the product of square roots \(\sqrt{2}\sqrt{7} \).

\(\frac{5\sqrt{2}\sqrt{7}\sqrt{2} }{2} \)

Multiply \(\sqrt{2} \) and \(\sqrt{2} \) to get 2.

\(\frac{5x2\sqrt{7} }{2} \)

Cancel out 2 and 2.

\(5\sqrt{7} \)

Hope it helps and have a great day! =D

Answer:

they need brainliest :)

A. 1 pair of corresponding points are N and L or you could use S and H.

but i do not know the question B sorry.

Answer:

Step-by-step explanation:

11 is B and 12 is B. 11 is B because perimeter means to add all the outside values of the shape. 2.5+5+4+1 and then there are two missing side values which are 1.5 and 1, add them all together and the perimeter is 15. For the area, separate the small square with the big rectangle to have two full shapes. The area of the rectangle is 4x2.5=10. Area of the small square is 1x1=1. 10+1=11. Hope this helps, ask questions if you need to

Answer:

The answer is 1, i.e a-b < a+b

Its C: If a ≥ b, then a + c ≥ b + c

and D: If c > d, then a– c < a – d

Answer:B

Step-by-step explanation:

The amount of investment after 20 years nearest hundredth will be $21,777.72.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

The rate for semiannually is given as,

r = 4.7 / (2 x 100)

r = 4.7 / 200

r = 0.0235

Then the number of years is given as,

n = 20 x 2

n = 40

Then the amount after 20 years is given as,

A = $8,600 × (1 + 0.0235)⁴⁰

A = $8,600 × (1.0235)⁴⁰

A = $8,600 × 2.53229

A = $21,777.72

The amount of investment after 20 years nearest hundredth will be $21,777.72.

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Answer:

314.16 ft²

Step-by-step explanation:

The flower garden is circular is shape.

To solve for this question, we have to find the area of the circular flower bed

The formula is given as

= πr²

Hence,

= π × 10²

= 314.15926536 ft²

Approximately = 314.16ft²

Therefore, 314.16ft² of plastic is needed

Answer:

-35,000

Step-by-step explanation:

Given that :

Let:

Number of previous year supply = x

Number of supply this year = x - 35,000

The change in the number supplied between for this year and previous year

this year supply - previous year supply

(x - 35,000) - x

x - 35000 - x

= - 35,000

Hence, integer which describes the change in the number of DVDs shipped is - 35,000

The distance of the base of the tower and the airplane is 348.5 ft,  and the right option is 4. 348.5 ft.

Distance is the length between two points.

To calculate the distance of the base of the tower and the airplane, we use the formula below.

Formula:

Where:

From the diagram,

Given:

SUbstitute these values into equation 1 and solve for A

Hence, the right option is 4. 348.5 ft.

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Writing the equation for g in the form y = ax² + bx + c is x² + 8x + 14

The equation of the transformation is written as follows

the parent function f(x) = x²

a translation left 4 units

f(x) = (x + 4)²

down 2 units

f(x) = (x + 4)² - 2

expanding the equation

f(x) = (x + 4)(x + 4) - 2

f(x) = x² + 8x + 16 - 2

f(x) = x² + 8x + 14

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