determine the average cost for all courses. if the course cost contains a null value, substitute the value 0.

Answer:

What function?

Step-by-step explanation:

Answer:

C. The relationship is linear; y – 5 = 2(x + 7).

Step-by-step explanation:

The correct answer is:

The relationship is linear, and the equation is  

y-5 = 2(x+7).

Explanation:

To determine if the relationship is linear, we find the slope between each pair of points.  Slope is given by the formula:

The slope between the first two points is given by:

The slope between the second pair of points is given by:

The slope between the third pair of points is given by:

Since the slope is the same throughout the data, the relationship is linear and the slope is 2.

To write the equation, we use point-slope form, which is:

y-y₁ = m(x-x₁)

Using the first point, we have:

y-5 = 2(x--7)

y-5 = 2(x+7)

The answer is The relationship is linear; y - 5 = 2(x + 7).

Answer:

Step-by-step explanation:

(1/5)(x)+3=(1/2)(x)

3=(1/2)x-(1/5)x

3=(5/10)x-(2/10)x

3=(3/10)x

3=0.3x

30=3x

x=30/3

x=10

Answer:The answer is below

Step-by-step explanation:

The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = ⅕ ⎜h − 240⎟ − 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet). A ship risks running aground if the bottom of its keel (its lowest point under the water) reaches down to the river bottom. Suppose you are the harbormaster and you want to place buoys where the river bottom is 20 feet below the surface. Complete the absolute value equation to find the horizontal distance from the left shore at which the buoys should be placed

Answer:

To solve the problem, the depth of the water would be equated to the position of the river bottom.

h is=380 or h=100

Step-by-step explanation:

The cost of 6 dresses is 7.50 x 6 = 45 (more than 43.64)

So, Tanya can only buy 5 dresses.

If she wants to buy 6 dresses, she has to pay 45 - 43.64 = $1.36 more.

If the distance an athlete throws a hammer follows a normal distribution with mean= 50 feet and standard deviation= 5 feet, then the probability he throws it between 50 feet and 60 feet is 0.4772

To find the probability he throws it between 50 feet and 60 feet, follow these steps:

Hence, the probability he throws a hammer between 50 feet and 60 feet is 0.4772

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Option c) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B

According to the information given in the question,

A true proportion of 0.325 represents that the two simulations will be conducted for sampling proportions from a population

Simulation A -

Sample size - 100

Trials - 1500

Simulation B -

Sample size - 50

Trials - 2000

Now due to the relation of simulation A and simulation B, they are closely equal-

The total sample size of simulation A= 1500 x 100

= 150000

The total sample size of simulation B = 2000 x 50

= 100000

From the above calculations of simulations A and B, we can see that while comparing the,

Sample Size = Simulation A > Simulation B

Variability = Simulation B < Simulation B

Therefore, option c) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B is correct.

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In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?

A) The centers will roughly be equal, and the variabilities will roughly be equal.

B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.

C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.

E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.

Answer: 2/5

Step-by-step explanation: Find a number that both the numerator and denominator can be divided by that is the same for both. In this case, both can be divided by 3. That gives us 4/10. Now we do the same thing again, this time the number is 2. Dividing both by 2 gives us 2/5.

The simplest form of the fraction 12/30 is 2/5.

The given fraction is 12/30.

We have to simplify the fraction to simplest form.

To simplify the fraction 12/30 to its simplest form, we need to find the greatest common divisor (GCD) of the numerator and denominator and then divide both by the GCD.

The GCD of 12 and 30 is 6.

We can divide both the numerator (12) and denominator (30) by 6:

12 ÷ 6 = 2

30 ÷ 6 = 5

Therefore, the simplest form of 12/30 is 2/5.

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The pair of events that is not overlapping when rolling a single die is '(d) getting a number greater than 4; getting a number less than 2'.

In probability, overlapping events are those events that have one or more outcomes in common. On the other hand, non-overlapping events are those events that cannot have common outcomes.

For instance, when rolling a single die, there is no chance of getting a number that is greater than 4, and meanwhile, it is less than 2. That is why this pair of events is called non-overlapping.

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Answer:

-40960

Step-by-step explanation:

5,-10,20,..

first term= 5 and common ratio= -2

aₙ= a₁*rⁿ⁻¹

a₁₄= 5*(-2)¹³= -40960

Probability that at least two of them have the same number is 1 - 75! / (10! * (75-10)!) /\(75^{10}\).

Given,

A box contains 75 balls numbered from 1 to 75 .

Here,

The probability that at least two of the balls drawn have the same number is equivalent to the probability that there is at least one pair of matching numbers among the balls drawn, which is equal to 1 minus the probability that there are no pairs of matching numbers among the balls drawn.

We can calculate the probability that there are no pairs of matching numbers among the balls drawn by finding the number of ways that we can draw 10 balls without replacement from the set of 75 balls, and dividing that by the total number of ways to draw 10 balls with replacement.

The number of ways to draw 10 balls without replacement from a set of 75 balls is given by the binomial coefficient "75 choose 10", which can be calculated as:

75! / (10! * (75-10)!) = 828931106355

The total number of ways to draw 10 balls with replacement from a set of 75 balls is given by \(75^{10}\).

So the probability that there are no pairs of matching numbers among the balls drawn is:

75! / (10! * (75-10)!) /\(75^{10}\).

Therefore, the probability that at least two of the balls drawn have the same number is:

1 - 75! / (10! * (75-10)!) /\(75^{10}\).

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Answer:

250

Step-by-step explanation:

The polar region would be √2 ≤ r ≤ √5 and 0 ≤ θ ≤ π/4 or 7π/4 ≤ θ ≤ 2π. Hence, the polar region is given as:

r = √2, √5θ = 0 to π/4 and 7π/4 to 2π

The given region that lies between the cylinders x2 + y2 = 2 and x2 + y2 = 5, and above the plane y − x = 0 can be converted to a polar region as follows:

Explanation:

We have the following equations:

x2 + y2 = 2x2 + y2 = 5y − x = 0

Substituting r2 = x2 + y2, and y = x in the third equation, we have:

r sinθ - r cosθ = 0, which gives us:

r = cosθOn substituting x2 + y2 = 2, and x2 + y2 = 5,

we get:r2 = 2 and r2 = 5 respectively.

Rewriting them in terms of r, we get:r = √2 and r = √5 respectively.

Therefore, the polar region would be √2 ≤ r ≤ √5 and 0 ≤ θ ≤ π/4 or 7π/4 ≤ θ ≤ 2π.

Hence, the polar region is given as:r = √2, √5θ = 0 to π/4 and 7π/4 to 2π.

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Answer:

y = 2 x ± \(\sqrt{2}\)   =± 2.8284

Step-by-step explanation:

y*y/4+15-(17)=0

Answer:

\(4 + 15 \div y = 17 \\ \\ 4 + 15 = 17y \\ \\ 19 = 17y \\ \\ y = \frac{19}{17} \)

Answer:

y = 0.

Step-by-step explanation:

The line y = 4 is a horizontal line, parallel to the x-axis.

The point (4,0) is on the axis so the rquired equation is:

y = 0.

Solve the equation:-

\(3(7 + 7i) + i(7 + 7i) \\take \: common \: (7 + 7i) \: out\\ (7 + 7i) (3 + i) \: is \: your \: answer \)

Open the equation:-

\(3(7 + 7i) + i(7 + 7i) \\ 21 + 21i + 7i + 7 {i}^{2} \\ 7 {i}^{2} + 28i + 21 \: \: answer\)

Answer:

0.00294973268304

Step-by-step explanation:

Using a linear function, the total charge from parking in the lot for 72 hours is of:

b. $146.

A linear function is modeled by:

y = mx + b

In which:

Both the basic fee, which is the y-intercept, and the hourly fee, which is the slope, are of $2, hence the cost of parking x hours is given by:

C(x) = 2x + 2

Hence the cost for parking 72 hours is:

C(72) = 2 x 72 + 2 = 2 x 73 = $146.

Which means that option b is correct.

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It is important to consider the scale of measurement and the specific characteristics of the variables when selecting an appropriate statistical test.The tests can be classified as follows:

1. A researcher measures the proportion of schizophrenic patients born in each season.

This test is nonparametric. The scale of measurement is categorical, as the seasons (spring, summer, fall, winter) represent distinct categories rather than continuous numerical values. Therefore, parametric assumptions, such as normality and equal variances, do not apply to this measurement.

2. A researcher measures the average age that schizophrenia is diagnosed among male and female patients.

This test is parametric. The scale of measurement is continuous and numerical (age in years). Parametric tests, such as t-tests or ANOVA, can be applied when working with continuous data, assuming the data meet the required assumptions (e.g., normality, independence, and equal variances).

3. A researcher tests whether frequency of Internet use and social interaction are independent.

This test can be both parametric or nonparametric, depending on the measurement scale and the specific statistical test used. If the variables are measured on a nominal or ordinal scale, nonparametric tests, such as the chi-square test, would be appropriate. If the variables are measured on a continuous scale, parametric tests, such as logistic regression, could be employed.

4. A researcher measures the amount of time (in seconds) that a group of teenagers uses the Internet for school-related and non-school-related purposes.

This test is parametric. The scale of measurement is continuous (time in seconds), and parametric tests, such as t-tests or ANOVA, can be utilized to compare means or variances, assuming the required assumptions are met.

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The values for a and b make the system inconsistent are a = 3 and b = 4

The values for a and b make the system consistent and dependent are a = 2 and b = 4

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

y= 3x + 5

y= ax + b

For the system to be inconsistent, it must have no solution

So, we have

a = 3 and b ≠ 5

Evaluate

a = 3 and b = 4

Here, we have

y= 3x + 5

y= ax + b

For the system to be consistent, it must have solution

So, we have

a ≠ 3 and b ≠ 5

Evaluate

a = 2 and b = 4

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Answer:

1. y^12/y^12=1

2. q^15*1/q^15=1

3. (7(123456.789)^4)^0=1

4. 2^2*1/2^5=1/2^3

5 (x^41/y^15)*(y^15/x^41)=1

Step-by-step explanation:

1. when dividing exponents, subtract the exponents. y^12/y^12=y^(12-12)=y^0=1

2. you do the same as #1

3. Any number to the power of 0 is always 1

4. 1/2^3=1/8

5. since the numerator and denominator is the same, the divide to equal 1

Hope I helped

Answer:

x=36

y=144

Step-by-step explanation:

ABD=2x

z rule

BDE=2X

therefore 2x+3x=180

5x=180

x=36

solving for y

180-y+2x+2x=180

y=4x

y=4(36)

y=144

The code calculates the result of the Pell equation \(f(x, y, n) = x^2 + n \cdot y^2\) with \(x = 3\), \(y = 2\), and \(n = 1\) and prints it in the command line window.



To print out the result of the Pell equation \(f(x, y, n) = x^2 + n \cdot y^2\) with \(x = 3\), \(y = 2\), and \(n = 1\) in the command line window, we can use a programming language like Python. The code snippet provided calculates the result by substituting the given values into the equation.

In the code, we assign the values \(x = 3\), \(y = 2\), and \(n = 1\) to their respective variables. Then, we use the equation \(f(x, y, n) = x^2 + n \cdot y^2\) to calculate the result by squaring the value of \(x\), multiplying the value of \(y\) by \(n\) and squaring it, and adding both of these terms together. The result is stored in the variable `result`. Finally, we use the `print()` function to display the result in the command line window.

By running this code in the command line, you will obtain the output that represents the result of the Pell equation for the given values. In this case, the output will be a single number, which is the sum of \(x^2\) and \(n \cdot y^2\).

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On solving the provided question, we can say that  10% condition is met,

There are two separate random samples available.

selected at random (purely random, unpredictable). Every member of the population being polled ought to have an equal probability of getting chosen. She randomly selected 25 names from a pool of 250 employees as an example of a simple random sample. Since there are 250 of her employees in total, and each one has an equal probability of being chosen, the sample in this instance is random. Using simple random sampling, which is a form of probability sampling, researchers choose individuals at random from a population. There is an equal opportunity for selection for every person in the population.

There are two separate random samples available.

The 10% requirement is satisfied.

For both samples, 24, 26, 29, and 31 triumphs and failures are anticipated.

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The equation of the line tangent to the curve 55 + y³ + 3x - 2y = 1 at the point (0, -1) is y = -1 - 6x.

To find the equation of the tangent line, we need to determine the slope of the curve at the given point and use the point-slope form of a line. First, we differentiate the equation of the curve with respect to x:

d/dx(55 + y³ + 3x - 2y) = d/dx(1)

3 - 2(dy/dx) + 3(dx/dx) - 2(dy/dx) = 0

6 - 4(dy/dx) = 0

dy/dx = 6/4 = 3/2

Now we have the slope of the curve at the point (0, -1). Using the point-slope form of a line, we substitute the coordinates of the point and the slope:

y - y₁ = m(x - x₁)

y - (-1) = (3/2)(x - 0)

y + 1 = (3/2)x

y = (3/2)x - 1 - 1

y = (3/2)x - 2

Therefore, the equation of the tangent line to the curve at the point (0, -1) is y = -1 - 6x.

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Answer:

$1.30

Step-by-step explanation

yup its 100% sure

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Some part of the regression can be estimated precisely, but it is difficult to predict the effect of individual regressors when there is multicollinearity in the data.Multiple regression models require that variables be independent of one another, otherwise, multicollinearity will occur.

Consider the multiple regression model with two regressors X1 and X2, where both variables are determinants of the dependent variable. You first regress Y on X1 only and find no relationship. However when regressing Y on X1 and X2, the slope coefficient changes by a large amount.

This suggests that your first regression suffers from omitted variable bias. Imperfect multicollinearity implies that it will be difficult to estimate precisely one or more of the partial effects using the data at hand. Imperfect multicollinearity means that there is a strong correlation between the regressors, but they are not perfectly correlated.

As a result, some part of the regression can be estimated precisely, but it is difficult to predict the effect of individual regressors when there is multicollinearity in the data.Multiple regression models require that variables be independent of one another, otherwise, multicollinearity will occur.

When there is multicollinearity in the data, it means that two or more of the variables are highly correlated with one another. In other words, the data may contain redundant information, which can make it difficult to estimate the regression coefficients or partial effects.The dummy variable trap refers to a situation in which one of the variables is a perfect linear combination of the other variables.

This results in the model being unsolvable, and the coefficients cannot be estimated. Heteroskedasticity is the term used to describe when the variance of the residuals is not constant across all values of the independent variables. This means that the predictions of the model may be biased, and the standard errors of the coefficients may be incorrect.

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