“Combined” represents what operation?

a. addition
b. multiplication
c. subtraction

Answer:

The X-coordinates will decrease by 6 units because, anytime you move something to the left on a coordinate plane you are decreasing the x value

Answer:

The x-coordinates will decrease by 6.

Step-by-step explanation:

So when you look at a graph, the left side has smaller numbers than the right side because as you go down it becomes negative and the right means it is going positive. So if you are moving to the left you are getting smaller so you are decreasing. The other options with y-axis is not true because the y-axis is vertical.

The company will need approximately 53 cubic yards of concrete for the foundation.

Determine the volume of the foundation by multiplying the length, width, and depth: 58 ft x 26 ft x 3 ft = 4,548 cubic feet.

Account for the walls by subtracting the inner dimensions from the outer dimensions: (58 ft + 2 x 0.5 ft) x (26 ft + 2 x 0.5 ft) x 3 ft = 5,016 cubic feet.Convert cubic feet to cubic yards by dividing by 27: 5,016 cubic feet ÷ 27 = 186.22 cubic yards.

Round up to account for waste and uneven ground: approximately 53 cubic yards of concrete will be needed.

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The surge tank is a vital component of a system in which the flow rate fluctuates significantly. The flow rate entering the tank varies significantly, causing the fluid level in the tank to fluctuate as a result of the compressibility of the liquid. The surge tank is utilized to reduce pressure variations generated by a rapidly fluctspace uating pump flow rate. To determine the matrices A,B,C, and D using state-space notation, here are the steps:State representation is given by:dx/dt = Ax + Bu; y = Cx + DuWhere: x represents the state variablesA represents the state matrixB represents the input matrixC represents the output matrixD represents the direct transmission matrixThe equation can be written asA = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0Thus, the matrices A,B,C and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ, and the output variable is the flow rate deviation, q'₂ are given by A = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0.Hence, the required matrices are A = [ -1/R₁ 0; 1/R₁ -1/R₂], B = [1/A₁; 0], C = [0 1/R₂], and D = 0 using state-space notation for the given system of equations for two liquid surge tanks.

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The percent increase in the flight increase is \(18.35\)%

Definition of percentages.

A percentage is a ratio of some value out of a hundred.

With this definition in mind, if \(20\)% of \(200\) students have a test tomorrow, then a total of \(40\) students have a test tomorrow.

Percentage Increase Calculation Example #1

For the first example, we find the percentage increase for the following scenario:

If your total savings of $\(60\) at the beginning of the week grew to $\(90\) by the end of the week, what is the percentage increase?

This is where our three-step process comes in:

Step 1: Find the difference in values ​​by subtracting the initial value from the final value.

In this case, the final value minus the initial value can be calculated as follows:

\(90 -60 = 30\)

So in this example, the difference between the two values ​​would be \(30\). Remember that when calculating the percentage increase, you will always subtract the smaller value from the larger value.

Step 2:Divide the difference by the initial number

The next step is to take the difference (\(30\) in this example) and divide it by the starting number (\(60\) in this example) like this:

\(30/60 = 0.50\)

Always express your answer as a decimal (this will make your life a lot easier when you get to step three).

Step 3: Multiply by \(100\)

The last step is to multiply the decimal result from step two by one hundred and express the final result as a percentage.

\(0.50 * 100 = 50\)

Final answer: 50% increase

That is all! Using three steps, you can conclude that there was a \(50\)% increase in the money you had from the beginning of the week to the end of the week.

Hence percent increase can be found as follows:

=$\((432-365)/365*100\)

=\(18.35\)%

Therefore, a percent increase in the flight increase is \(18.35\)%

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The null hypothesis is formulated as a statement of equality to represent the assumption of no effect, no difference, or no relationship between variables in hypothesis testing.

The null hypothesis is typically formulated as a statement of equality because it represents the assumption or claim of no effect, no difference, or no relationship between variables in the context of statistical hypothesis testing.

When conducting hypothesis tests, we start with the assumption that there is no significant difference or relationship between variables, and any observed differences or relationships are merely due to random chance or sampling variability. The null hypothesis serves as a benchmark or reference point against which we compare the observed data.

Formulating the null hypothesis as a statement of equality allows for a clear and specific claim to be tested statistically. It sets the baseline or default position that is assumed to be true unless there is sufficient evidence to reject it in favor of an alternative hypothesis.

For example, in a study comparing the mean scores of two groups, the null hypothesis might state that the population means are equal (μ1 = μ2). This implies that any observed difference in sample means is due to chance, rather than a true difference in the population means.

By specifying the null hypothesis as a statement of equality, statistical tests provide a framework to assess the likelihood of observing the obtained data under the assumption of no effect or no difference, allowing us to make inference and draw conclusions about the population parameters based on the evidence from the sample.

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The value of x which is the missing angle of the triangles is; x = 30°

We know that Alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.

Thus, if we label the vertex with the unknown angle in the smaller triangle as A, then by the alternate angle theorem, we can say that;

∠A = 2x

Thus, from sum of angles in a triangle equals to 180°, we can say that;

x + 2x + 90 = 180

3x + 90 = 180

3x = 180 - 90

3x = 90

x = 90/3

x = 30°

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Answer:

before the sale, each poster was $8.49

Step-by-step explanation:

27.36 divided by 4 = 6.84 + 1.65 = 849

The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.

The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).

By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.

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Answer:

2 2/3

Step-by-step explanation:

For each of her snack bag, she can fill it with a 1/3 cup of pretzels

1/3 x 8 = 2 2/3 cups

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

if the utilization factor = 0.8 then

the probability of no customer in the system is 1 - 0.8 = 0.2

The highest score is 32 points.

Given,

Mean score of 8 players =14.5

After removing highest score then,

Mean score of 7 players =12

let

the sum of all score be 'x'

highest score be 'y'

At first,

\(Mean=\frac{sum\ of\ all\ scores}{total\ number\ of\ scores}\\\\14.5=\frac{x}{8}\\\\x=116\)

after removing the highest score, mean  will be

\(Mean=\frac{sum\ of\ all\ scores-highest\ score}{number\ of\ scores}\\\\12=\frac{x-y}{7}\\\\x-y=84\)

substituting 'x'

\(116-y=84\\\\116-84=y\\\\y=32\)

Thus, the highest score is 32 points.

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Answer: 2.029%, 2 1/8%, 2.4%, 2.499%, 2 1/2%.

Step-by-step explanation:

Answer the following interest rates in order from lowest to highest.

2.029%, 2 1/8%, 2.4%, 2.499%, 2 1/2%.

Below are what the rates are equal to.

2.029, 2.125, 2.400, 2.499, 2.500

The appropriate family of distributions to approximate the probability of rolling a 6 on a fair die is the discrete uniform distribution, which assumes equal probabilities for each outcome. In this case, the probability of rolling a 6 would be approximately 1/6 based on the assumption of fairness.

For the problem of approximating the probability of rolling a 6 on a fair die, an appropriate family of distributions to consider is the discrete uniform distribution.

The discrete uniform distribution is commonly used to model situations where each outcome has an equal probability of occurring. In the case of rolling a fair die, the die has six equally likely outcomes (numbers 1 to 6).

Each outcome has a probability of 1/6 of occurring, making the discrete uniform distribution a suitable choice.

By assuming a discrete uniform distribution, we can assign equal probabilities to each outcome (1/6 for rolling a 6) and approximate the probability of rolling a 6 based on the assumption of fairness.

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The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.

Suppose the random variable in consideration be X, and it is discrete.

Then, the probability of X attaining at least 'a' is written as:

\(P(X \geq a)\)

It is evaluated as:

\(P(X \geq a) = \sum_{\forall \: x_i \geq a} P(X = x_i)\)

The probability distribution of X is:

        x                      f(x) = P(X = x)

        6                               0.02
        7                               0.11

        8                               0.61

        9                               0.15

        10                              0.09

Worker working at least 8 hours means X attaining at least 8 as its values.

Thus, probability of a worker chosen at random working 8 hours is

P(X ≥ 8) = P(X = 8) + P(X = 9) +P(X = 10) = 0.85 ≈ 0.84 approx.

By the way, this probability distribution seems incorrect because sum of probabilities doesn't equal to 1.

The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.

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Answer:

w=12

you move and subtract 4 from 16

Answer:

7.8 x 10^4 or 7.8e4 hope this helps!

The quotient when 6.591 x 10⁷⁶ is divided by 8.45 x 10² is 6.591 x 10⁷⁴.

In arithmetic, a quotient is a quantity produced by the division of two numbers.

Given is to find the quotient of 6.591 x 10⁷⁶ and 8.45 x 10².

We have to find the quotient when 6.591 x 10⁷⁶ is divided by 8.45 x 10².

6.591 x 10⁷⁶ ÷ 8.45 x 10²

(6.591 x 10⁷⁶/8.45 x 10²)

(6.591 x 10⁷⁶ ⁻ ²)

6.591 x 10⁷⁴

Therefore, the quotient when 6.591 x 10⁷⁶ is divided by 8.45 x 10² is 6.591 x 10⁷⁴.

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Answer:

q---->r

Step-by-step explanation:

Significant figures with representation of x are a) 14.8 m = 14.x m. b) $10.25 = 10.2x. c) 0.05 L = 0.0x L. d) 1.000 g/mL = 1.00x g/mL. e)  6200cm = 6200x cm. f)  403 kg = 40x kg.

a) 14.8m has 3 significant figures. Representation with x in place of estimated digit: 14.x m. b) $10.25 has 4 significant figures. Representation with x in place of estimated digit: 10.2x. c) 0.05 L has 1 significant figure. Representation with x in place of estimated digit: 0.0x L. d) 1.000 g/mL has 4 significant figures. Representation with x in place of estimated digit: 1.00x g/mL. e) 6200cm has 2 significant figures. Representation with x in place of estimated digit: 6200x cm. f) 403 kg has 3 significant figures. Representation with x in place of estimated digit: 40x kg. Significant figures are the digits in a measurement that are reliable and accurate. They provide an indication of the precision of a measurement, and allow us to communicate the level of certainty we have in a particular value. When determining the number of significant figures in a measurement, we typically follow a set of rules. Non-zero digits are always significant, zeros between non-zero digits are significant, and trailing zeros to the right of the decimal point are significant. Zeros at the beginning of a number or to the left of a non-zero digit are not significant. The use of significant figures is important in science and engineering to ensure accurate and reliable measurements. When performing calculations with measurements, the result should be reported with the same number of significant figures as the least precise measurement used in the calculation. In addition, when rounding a number, the last digit should be rounded to the nearest value consistent with the number of significant figures being used. Understanding significant figures is an important part of scientific and mathematical communication, and can help to ensure accuracy and consistency in the reporting of data and calculations.

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The sample's data values ought to be unrelated to one another. The sample data need to be consistent. Data from the quantitative ordered pair sample should be gathered at random or in a way that is representative of the overall population. The sample's data values ought to be unrelated to one another.

A confidence interval is a much better tool to use if we wish to communicate the level of uncertainty surrounding our point estimate (CI). A confidence interval (CI) is a symmetrical range of values where the results of repeated, related experiments are likely to fall. The middle of this range corresponds to our point estimate.

Confidence intervals, which describe how closely study results match reality or how dependable they are based on statistical theory, are regularly mentioned in scientific publications.

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Answer:

B) 131°

Step-by-step explanation:

-4a + 139 = 4a + 123 because they are vertical angles

-4a + 139 = 4a + 123

reduce:

8a = 16

a = 2

4(2) + 123 = 131°

The exact angles between 0 and 2π radians that are coterminal to π are 3π and -π. In degrees, the coterminal angles would be 540 degrees and -180 degrees.

The angle π (pi) is equivalent to 180 degrees. To find the exact angle between 0 and 2π radians that is coterminal to π, we need to find angles that have the same initial and terminal sides as π.

Since π is equivalent to 180 degrees, we can start by adding or subtracting multiples of 2π (360 degrees) to find coterminal angles. Adding 2π to π gives us 3π, which is coterminal to π. Similarly, subtracting 2π from π gives us -π, which is also coterminal to π.

So, the exact angles between 0 and 2π radians that are coterminal to π are 3π and -π.

In degrees, the coterminal angles would be 540 degrees and -180 degrees.

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The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

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Answer:

B.

Explanation:

π ≈ 3.142

22/7 ≈ 3.143

square root of ten ≈ 3.162

Step-by-step explanation:

A=⎣⎢⎢⎡324−21−33−12⎦⎥⎥⎤,x=⎣⎢⎢⎡xyz⎦⎥⎥⎤,B=⎣⎢⎢⎡814⎦⎥⎥⎤

∣A∣=⎣⎢⎢⎡324−21−33−12⎦⎥⎥⎤

=3[1−3−12]−1(−2)[24−12]+3[241−3]⇒3(2−3)−2(4+4)+

The standard error of mean is a technique for calculating the sampling distribution's standard deviation.

A technique for assessing the standard deviation of a sampling distribution is standard error of the mean. The acronym SEM stands for standard error of the mean, which is another name for it. For instance, in a sample space, the sample mean is often the projected population mean value. But, if we choose another sample from the same population, the result can be different.

As a result, a population of the sampled means with unique variance and means will emerge. The standard deviation of such a sample mean, which includes all feasible samples taken from the same specified population, could be referred to as the standard error of mean. SEM is an approximation of standard deviation that was determined from the sample.

The standard error of the mean (SEM) demonstrates how the mean changes when the same quantity is evaluated in various tests. Consequently, the SEM will be higher if the outcome of random fluctuations is crucial. Yet if repeated attempts fail to reveal any change in the data points, the standard error of the mean will be equal to zero.

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The value of the expression is 1/(9x)^2

From the question, we have the following parameters that can be used in our computation:

(-9x)^-2

We can write the expression without negative exponents by using a fraction with a positive exponent:

(-9x)^-2 = 1/(-9x)^2

And without parentheses, this expression becomes:

1/(9x)^2

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Aditi 6. callie 5. 71-11=60