A research group wants to know if people make more basketball shots barefoot, wearing their regular shoes, or wearing a certain high performance shoe. They also want to know if people make more shots during the morning or at night time. Here is the data they collected: Time Shoes Shots made out of 50 1 Morning none 25 2 Night usual 26 3 Morning special 32 4 Night usual 22 5 Morning none 35 6 Morning special 34 7 Morning none 33 8 Night usual 37 9 Night special 42 10 Night none 27 11 Morning usual 27 12 Night special 30 13 Morning none 34 14 Morning usual 33 15 Night special 30 16 Night none 36 17 Night usual 38 18 Morning special 41 For each of the three variables (Time of Day, Shoes, and Shots) do the following: a) Write a conceptual definition. b) Describe the data as interval, ordinal, nominal, or binary. c) Create a frequency table for that variable. d) Describe the central tendency of that variable. e) Do your best to tell the story of that variable based on that frequency table.

The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5

An equation is an expression that shows the relationship between two or more numbers and variables.

Solving the polynomial using completing the square:

2x² - 4x - 3 = 0

First divide through by 2:

x² - 2x - 3/2 = 0

add 3/2 to both sides:

x² - 2x - 3/2 + 3/2 = 0 + 3/2

x² - 2x = 3/2

add the square of half the coefficient x to both sides:

x² - 2x + 1 = 3/2 + 1

(x - 1)² = 2.5

taking square root:

x - 1 = ±√2.5

x = 1 ± √2.5

The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5

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Answer: Step 3

Step-by-step explanation: this is the right answer on the edge, hope this helps!

Option D is not a condition to check when doing a two-sample z-test of proportions.

The correct option is D. All of the above conditions are important conditions to check when doing a two-sample z-test of proportions.

The two-sample z-test of proportions is a statistical test that is used to compare the proportion of two populations.

This statistical test helps in determining whether or not there is a significant difference between the two proportions.

The following are the conditions to check when doing a two-sample z-test of proportions:The samples are independent of each other and independent within samples.

The sample is random.

The samples are sufficiently large.

Therefore, the given statement "All of the above conditions are important conditions to check when doing a two-sample z-test of proportions" is correct.

In conclusion, option D is not a condition to check when doing a two-sample z-test of proportions.

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Answer:

Step-by-step explanation:

I think y ≤ 3 - 3x

To approximate the solution and maximize the given objective function we need to find the steepest ascent direction and iteratively update the values of x₁ and x₂ to approach the maximum value of z.

The method of steepest ascent involves finding the direction that leads to the maximum increase in the objective function and updating the values of the decision variables accordingly. In this case, we aim to maximize the objective function z = -(x₁ - 3)² - (x₂ - 2)².

To find the steepest ascent direction, we can take the gradient of the objective function with respect to x₁ and x₂. The gradient represents the direction of the steepest increase in the objective function. In this case, the gradient is given by (∂z/∂x₁, ∂z/∂x₂) = (-2(x₁ - 3), -2(x₂ - 2)).

Starting with initial values for x₁ and x₂, we can update their values iteratively by adding a fraction of the gradient to each variable. The fraction determines the step size or learning rate and should be chosen carefully to ensure convergence to the maximum value of z.

By repeatedly updating the values of x₁ and x₂ in the direction of steepest ascent, we can approach the solution that maximizes the objective function z. The process continues until convergence is achieved or a predefined stopping criterion is met.

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The distance between the Woozy Wheel and the Roller Rail is 13 units.

To determine the distance between the Woozy Wheel and the Roller Rail, we can use the distance formula in the coordinate plane.

The coordinates of the Woozy Wheel are (-14, 1), and the coordinates of the Roller Rail are (-2, -4).

Using the distance formula, the distance (d) between two points (x₁, y₁) and (x₂, y₂) is given by:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the coordinates of the Woozy Wheel and the Roller Rail into the formula:

d = √((-2 - (-14))² + (-4 - 1)²)

= √(12² + (-5)²)

= √(144 + 25)

= √169

= 13

Therefore, the distance between the Woozy Wheel and the Roller Rail is 13 units.

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The distance covered by Karen is greater than that of Harry.

There are few steps to simplify the mixed fraction,

1) Find the numerator and denominator of mixed fraction.

2) Find its highest common factors.

3) Then divide the numerator and denominator with the highest common factor.

4) The resultant number is the simplified representation of the mixed number.

Harry rides = 25 3/8 miles = (25×8+3)/8

⇒ 203/8 = 25.375 miles

Similarly,

Karen rides = 25 2/5 miles = (25×5+2)/5

⇒ 127/5 = 25.4 miles

Hence, we can see that distance covered by Karen is greater than that of Harry.

So, Karen rides farther.

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Answer:

Step-by-step explanation:

This would not make sense because width is measured in feet and computers are not. Quantities should be expressed in the same unit. As they are not, 280 does not have meaning

Factors considered for potential aquifers: permeability, porosity, recharge. Avoid areas near contamination or high population density.

Examining the geology of a region for potential useable aquifers involves considering various characteristics and factors. Permeability, the ability of rocks or sediments to transmit water, is a key attribute. Highly permeable formations like sandstone or limestone facilitate water movement, making them favorable for aquifer development. Porosity, the amount of empty space within rocks or sediments, indicates the storage capacity of an aquifer. High porosity allows for greater water storage.

Recharge rates, the rate at which water replenishes the aquifer, are also important. Areas with consistent and sufficient rainfall or access to water sources like rivers and lakes tend to have higher recharge rates, making them suitable for aquifer utilization.

However, it is crucial to consider natural and human factors to determine areas to avoid. Proximity to contamination sources, such as industrial activities or landfills, can pose a risk to the water quality of an aquifer. Additionally, regions with high population density often face increased demands for water, which may lead to excessive groundwater extraction, causing depletion and long-term sustainability concerns.

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The prediction for the number of passwords in which the first character is a number is given as follows:

139 passwords.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The passwords have the first character chosen as follows:

Hence the probability of a number is given as follows:

p = 10/(10 + 26)

p = 10/36

p = 5/18.

Out of 500 passwords, the expected number is then given as follows:

E(X) = 500 x 5/18

E(X) = 139 passwords.

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Answer:

x=6/5

Step-by-step explanation:

6=2x+3x

5x=6

x=6/5

it would take Julio and Bill 2.5 hours to oil the lanes if they worked together.

To determine how long it would take Julio and Bill to oil the lanes if they worked together, we can use the concept of work rates.

Let's denote the time it takes Julio to oil the lanes alone as "x" hours. According to the given information, Julio takes 10 hours, so we have:

Julio's work rate: 1/10 (lanes per hour)

Similarly, let's denote the time it takes Bill to oil the lanes alone as "y" hours. According to the given information, Bill takes 5 hours, so we have:

Bill's work rate: 1/5 (lanes per hour)

When they work together, their combined work rate is the sum of their individual work rates:

Combined work rate = 1/x + 1/y

Since we want to find the time it takes them together, we want to find the reciprocal of the combined work rate:

Time together = 1 / (1/x + 1/y)

Now we can substitute the values for Julio's and Bill's work rates:

Time together = 1 / (1/10 + 1/5)

To simplify the expression, we find the least common denominator (LCD) of 10 and 5, which is 10:

Time together = 1 / (2/10 + 2/10)

Time together = 1 / (4/10)

Time together = 1 / (2/5)

To divide by a fraction, we multiply by its reciprocal:

Time together = 1 * (5/2)

Time together = 5/2

Time together = 2.5 hours

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The mathematical equation that represents the area of a circle as the product of pi/4 and the square of the diameter is:

A = π/4 × d^2

where A is the area of the circle, π is the mathematical constant pi, d is the diameter of the circle.

The area of a circle is the amount of space that is enclosed by the circle's boundary. It is given by the formula A = πr^2, where r is the radius of the circle. However, the diameter is simply twice the radius, so we can substitute d = 2r into the formula to obtain A = π(2r)^2/4 = π/4 × d^2, which is the desired equation.

This formula can be used to calculate the area of a circle given its diameter.

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Answer:

y = 2x - 4

Step-by-step explanation:

To solve this problem, we must first calculate the slope of the line AB using the formula:

\(\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}\)

where:

m ⇒ slope of the line

(x₁, y₁), (x₂, y₂) ⇒ coordinates of two points on the line

Therefore, for line AB with points A = (2, 5) and B = (4, 4) :

\(m_{AB} = \frac{5 - 4}{2 - 4}\)

⇒ \(m_{AB} = \frac{1}{-2}\)

⇒ \(m_{AB} = -\frac{1}{2}\)

Next, we have to calculate the slope of the line BC.

We know that the product of the slopes of two perpendicular lines is -1.

Therefore:

\(m_{BC} \times m_{AB} = -1\)      [Since BC and AB are at right angles to each other]

⇒ \(m_{BC} \times -\frac{1}{2} = -1\)

⇒ \(m_{BC} = -1 \div -\frac{1}{2}\)      [Dividing both sides of the equation by -1/2]

⇒ \(m_{BC} = \bf 2\)

Next, we have to use the following formula to find the equation of line BC:

\(\boxed{y - y_1 = m(x - x_1)}\)

where (x₁, y₁) are the coordinates of a point on the line.

Point B = (4, 4) is on line BC, and its slope is 2. Therefore:

\(y - 4 =2 (x - 4)\)

⇒ \(y - 4 = 2x - 8\)         [Distributing 2 into the brackets]

⇒ \(y = 2x-4\)

Therefore, the equation of line BC is y = 2x - 4.

Answer:

ooga booga ooga booga ooga booga ooga booga

Step-by-step explanation:

Answer:

343

Step-by-step explanation:

There are quarters(25¢), loonies ($1), and toonies ($2)

And total number of coins is 9

If loonies ($1), and toonies ($2) are one, then quarters(25¢) is 7

If quarters(25¢), and toonies ($2) are one, then loonies ($1)is 7

If loonies ($1), and quarters(25¢) are one, then toonies ($2) is 7

So possible number number of combination for an item that cost between $10 and $12 is

= 1^3 * 1^3 * 7^3

= 343

Answer:

b=-27/2

Step-by-step explanation:

Answer:

27/2 or 13.5

Step-by-step explanation:

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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The DJIA represents an average stock price value at 9:10 am would be approximately 31,802.65 points.

What is average?

The average, also known as the arithmetic mean, is a measure of central tendency that represents the typical value in a set of numbers. It is calculated by adding up all the values in the set and then dividing by the total number of values.

If the DJIA is decreasing by 0.7% of its value every minute, this means that it is losing 0.007 times its value every minute.

To determine the DJIA value at 9:10 am, we need to calculate the number of minutes that have elapsed since 9:00 am.

There are 10 minutes from 9:00 am to 9:10 am, so the DJIA value at 9:10 am can be calculated as follows:

DJIA value at 9:10 am = 34,117 x \((1 - 0.007)^{10\)

= 34,117 x \((0.993)^{10\)

= 34,117 x 0.933

= 31,802.65

Therefore, the DJIA value at 9:10 am would be approximately 31,802.65 points.

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Answer:

B

Step-by-step explanation:

To find the value of z such that the area to the right of z is 0.5, we can use the standard normal distribution table (also known as the z-table). The z-table provides the cumulative probability to the left of a given z-value.

Since the area to the right of z is 0.5, the area to the left of z is also 0.5. We need to find the z-value that corresponds to a cumulative probability of 0.5 (or 50%).

Referring to the z-table, we find that a cumulative probability of 0.5 corresponds to a z-value of 0. This means that the area to the left of 0 is 0.5, and therefore, the area to the right of 0 is also 0.5.

Thus, the value of z when the area to the right of z is 0.5 is 0.

Therefore, the correct option is b. 0.0000.

False, Solver does not always find the best possible solution among all feasible options when solving a linear optimization model with the Simplex LP Method.

The Simplex LP Method is an iterative algorithm used to solve linear programming problems. While the Simplex algorithm is guaranteed to converge to an optimal solution if one exists, it does not necessarily find the best possible solution among all feasible options.

The Simplex LP Method works by moving from one vertex of the feasible region to another, improving the objective function value at each step until it reaches an optimal solution. However, the feasible region of a linear programming problem can be non-convex, which means there may be multiple local optima. The Simplex algorithm may get stuck at a local optimum and fail to find the global optimum.

In addition, the Simplex algorithm can be sensitive to the initial basis and the choice of pivot rule. Different choices can lead to different optimal solutions. It is possible for the Simplex algorithm to find a locally optimal solution that is not the best possible solution among all feasible options.

Therefore, it is not accurate to say that Solver always finds the best possible solution when using the Simplex LP Method. The result obtained from the Solver should be carefully examined and verified to ensure its optimality.

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Suppose y1, y2, ..., yn denote a random sample from a population with an exponential distribution with mean θ. In this case, we can follow a step-by-step approach to analyze the properties of the sample and make inferences about the population parameter θ.

Sampling: We obtain a random sample of size n from the population, where each yi represents an observation.

Estimating θ: To estimate the population mean θ, we can calculate the sample mean ȳ, which is the average of the observed values yi. The sample mean is an unbiased estimator of the population mean.

Hypothesis testing: We can perform hypothesis tests to make inferences about the population parameter θ. For example, we can test hypotheses about the population mean, such as comparing it to a specified value or testing for a difference between two populations.

Confidence intervals: We can construct confidence intervals to estimate the range in which the population mean θ is likely to fall. These intervals provide a measure of uncertainty and allow us to make statements about the population parameter with a certain level of confidence.

Goodness-of-fit tests: We can use goodness-of-fit tests, such as the chi-square test, to assess how well the observed sample data fits the exponential distribution. This helps us determine whether the assumption of an exponential distribution is appropriate for the population.

By following this step-by-step approach, we can analyze the sample data, estimate the population parameter θ, make inferences, and assess the goodness of fit of the exponential distribution to the data. These methods allow us to gain insights and draw conclusions about the underlying population based on the observed sample.

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Answer:

4/5

Step-by-step explanation:

4/5 because 4/5 is the highest answer and closer to 1 than all the others

Answer:

\( \frac{4}{8} = 0.5\)

\( \frac{1}{5} = 0.2\)

\( \frac{2}{6} = 0. 333\)

\( \frac{4}{5} = 0.8\)

Thus, 4/5 is the nearest to 1

Hope this is correct and helpful

HAVE A GOOD DAY!

Answer:

d = 1

Step-by-step explanation:

5(d+2)=15 (Given)

5d + 10 = 15 (distribute)

5d = 5 (subtraction)

d = 1 (division)

Answer:

18 pi inches

Step-by-step explanation:

The area of a circle is

A = pi r^2

81 pi = pi r^2

81 = r^2

Taking the square root of each side

9 = r

We can now find the circumference

C = 2 * pi *r

C =2 * pi *9

C = 18 pi

The drop-down menu will be 3 and 2.

The complex number z = 27i.

The radius of the cube root is: \(r\sqrt[3]{x}\)

                                                  \(r\sqrt[3]{27}\)

                                                  \(r=3\)

Cube roots are located in a circle with a center at the origin and a radius of 3 units.

The complex number,z=a+ib is; Θ = tan⁻¹(b/a)

The complex number z=0+27i is:

                                                     Θ = tan⁻¹(27/0)

                                                     Θ = π/2

Cube roots have more than 3 arguments that differ by 2 π.

Therefore, The drop-down menu will be 3 and 2.

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The cube roots exist found on a circle with a center at the origin and a radius of 3. The cube roots contain arguments that vary by 2π over 3.

A complex number is one that has both a real and an imaginary component, both of which are preceded by the letter I which stands for the square root of -1.

The given complex number as;

z = 27i

The radius of the cube root is found as;

r = ∛x

substituting the values in the above equation, we get

r = ∛27

r = 3

The cube roots are located on a circle with a center at the origin and a radius of 3 units.

The argument of a complex number, z = a+ib will be

\(\theta\) = tan⁻¹(b/a)

The argument of a complex number z = 0+27i

\(\theta\) = tan⁻¹(27/0)

\(\theta\) = π/2

The cube roots have arguments that differ by 2π over 3.

Therefore, the correct answer for the drop-down menu exists in 3 and 2.

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Answer:

-------------------------

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).