PLEASE HELP NOW!!! What would be the experimental probability of drawing a white marble?
Ryan asks 80 people to choose a marble, note the color, and replace the marble in Brianna's bag. Of all random marble selections in this experiment, 34 red, 18 white, 9 black, and 19 green marbles are selected. How does the theoretical probability compare with the experimental probability of drawing a white marble? Lesson 9-3

In general, there are five kinds of task analyses:

Task analysis is the process of learning about ordinary users by observing them in action to understand in detail how they perform their tasks and achieve their intended goals. Tasks analysis helps identify the tasks that your website and applications must support and can also help you refine or re-define your site’s navigation or search by determining the appropriate content scope.

In their book User and Task Analysis for Interface Design, JoAnn Hackos and Janice Redish note that performing a task analysis helps you understand:

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Answer:

25 tennis balls

Step-by-step explanation:

20/5 = 100/x

x = 25

Answer:

25 tennis balls

Step-by-step explanation:

20x5= 100

5x5=25

there are 25 tennis balls in the bag

The correct answer is c. 49%.

To calculate the shared variance, we need to square the correlation coefficient.
0.70 squared = 0.49
This means that 49% of the variance is shared variance between the two variables. Therefore, option c is the correct answer.

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If the correlation between variables is 0.70, what percent of the variance is shared varianceis c. 49%.

When the correlation between two variables is 0.70, it means that 49% of the variance is shared variance. This is because the correlation coefficient represents the strength and direction of the linear relationship between two variables, and the coefficient of edterminationd (r-squared) is the proportion of the variance in one variable that can be explained by the variance in the other variable. In this case, the r-squared is 0.70^2, which equals 0.49 or 49%.

Therefore, the answer to the question is that 49% of the variance is shared variance when the correlation between variables is 0.70.


The correct option is c. 49%.

To find the shared variance (also known as the coefficient of determination) between two variables, you need to square the correlation coefficient. In this case, the correlation coefficient is 0.70. When you square 0.70 (0.70 * 0.70), you get 0.49, which represents 49% shared variance.

If the correlation between variables is 0.70, the percent of the variance that is shared variance is 49%.

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Yes, the data provide evidence that there is a linear association between hours of television watched a week and GPA. This statement can be supported by statistical analysis of the data.

A linear association exists between two variables when the pattern of their plotted values on a scatterplot approximates a straight line. A linear association occurs when one variable increases while the other decreases. It is also known as a straight-line relationship.

The data you have asked about, which is the relationship between hours of television watched a week and GPA can be analyzed using statistical tools. The data can be graphed in a scatterplot to see whether there is a pattern between the variables. If a straight-line pattern is observed, then there is a linear association.

The statistical tools that can be used to analyze the data include the calculation of the correlation coefficient and regression analysis. The correlation coefficient is a measure of the strength of the association between two variables. It ranges from -1 to 1, with -1 indicating a perfect negative relationship, 0 indicating no relationship, and 1 indicating a perfect positive relationship.

Regression analysis can be used to determine the equation of the line of best fit for the data. This line represents the linear relationship between the two variables. By analyzing the slope of the line, we can determine the strength of the relationship between the variables. In conclusion, yes, the data provide evidence that there is a linear association between hours of television watched a week and GPA.

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The alternate hypothesis that indicates the mean of the x2 population is smaller than that of the x1 population is H1: μ2 < μ1, which can be tested using a two-sample t-test.

When conducting a test for the difference of means for two independent populations x1 and x2, the alternate hypothesis that would indicate that the mean of the x2 population is smaller than that of the x1 population is:

H1: μ2 < μ1

Where H1 represents the alternate hypothesis, μ1 represents the mean of population x1, and μ2 represents the mean of population x2. The symbol "<" indicates that the mean of population x2 is smaller than the mean of population x1.

In other words, this alternate hypothesis states that there is a significant difference between the means of the two populations, with the mean of population x2 being lower than the mean of population x1. This hypothesis can be tested using a two-sample t-test, where the null hypothesis assumes that there is no significant difference between the means of the two populations.

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Answer:

33 miles

Step-by-step explanation: I think it is correct

Monday: 3 miles

Tuesday: 10 miles

Wednesday: 20 miles because 10 x 2 = 20

3 miles + 10 miles + 20 miles = 33 miles

Hope this helps!

Answer:

The correct answer is B

(just visualize flipping the shape upward diagnally, and you'll see it :)

The complete solution to the given ordinary differential equation (ODE)is:

\(y(x) = y_h(x) + y_p(x) = 5e^{6x} - 2e^{-2x} + 10e^{-2x} = 5e^{6x} + 8e^{-2x}\)

To solve the second-order ordinary differential equation (ODE) using the method of undetermined coefficients, we assume a particular solution of the form:

\(y_p(x) = A e^{-2x}\)

where A is a constant to be determined.

Next, we find the first and second derivatives of \(y_p(x)\):

\(y_p'(x) = -2A e^{-2x}\\y_p''(x) = 4A e^{-2x}\)

Substituting these derivatives into the original ODE, we get:

\(4A e^{-2x} - 4(-2A e^{-2x}) - 12(A e^{-2x}) = 10e^{-2x}\)

Simplifying the equation:

\(4A e^{-2x} + 8A e^{-2x} - 12A e^{-2x} = 10e^{-2x}\)

Combining like terms:

\((A e^{-2x}) = 10e^{-2x}\)

Comparing the coefficients on both sides, we have:

A = 10

Therefore, the particular solution is:

\(y_p(x) = 10e^{-2x}\)

To find the complete solution, we need to find the homogeneous solution. The characteristic equation for the homogeneous equation y'' - 4y' - 12y = 0 is:

r² - 4r - 12 = 0

Factoring the equation:

(r - 6)(r + 2) = 0

Solving for the roots:

r = 6, r = -2

The homogeneous solution is given by:

\(y_h(x) = C1 e^{6x} + C2 e^{-2x}\)

where C1 and C2 are constants to be determined.

Using the initial conditions y(0) = 3 and y'(0) = -14, we can solve for C1 and C2:

y(0) = C1 + C2 = 3

y'(0) = 6C1 - 2C2 = -14

Solving these equations simultaneously, we find C1 = 5 and C2 = -2.

Therefore, the complete solution to the given ODE is:

\(y(x) = y_h(x) + y_p(x) = 5e^{6x} - 2e^{-2x} + 10e^{-2x} = 5e^{6x} + 8e^{-2x}\)

The question is:

Use the method of undetermined coefficients to solve the second order ODE y'' - 4 y' - 12y = 10\(e ^{- 2x}\), y(0) = 3, y' (0) = - 14

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Answer:

x=-13/3

y=13/4

Step-by-step explanation:

Answer:

x ≈ 3.42

Step-by-step explanation:

Using the sine ratio in the right triangle

sin20° = \(\frac{opposite}{hypotenuse}\) = \(\frac{x}{10}\) ( multiply both sides by 10 )

10 × sin20° = x , then

x ≈ 3.42 ( to the nearest hundredth )

Answer:

This is an impulse purchase.

Step-by-step explanation:

He did not go to the store to buy that speaker. He had an inpulse to buy it when he saw it, even when he did not have enough money to purchase the speaker.

For instance, If he DID go to the store to buy that speaker, it would be a planned purchase, meaning he had the intentions of buying that speaker.

Answer:

Ok here is the answer!

Step-by-step explanation:

To say impulse purchase, the buyer should have less cash on his hand but willing to buy a commodity more than his cash. So the buyer will decide to add cash to his pocket using credit card and go to banks for withdrawal. Hope you get the answer!

Love you all

Answer:

y=-2x-4

Step-by-step explanation:

When an equation is perpendicular, then it is the equation's inverse. The inverse of 1/2 is -2

The y-intercept is b in y=mx+b. In this equation, b=-4

Answer:

11.45mm^2

Step-by-step explanation:

Given data

Circumference= 12mm

The expression for the circumference is

C= 2πr

12= 2*3.14*r

12= 6.28r

r= 12/6.28

r= 1.91mm

Hence the area of each small circle is

A= πr^2

A= 3.14*1.91^2

A= 3.14*3.6481

A=11.45mm^2

Answer:

the answer is b. 72 pie mm squared

Step-by-step explanation:

edge 2021

Answer:

both of the triangels  have an area of 400

Answer:

y = 105

x = 31

Step-by-step explanation:

We have y and 75 as consecutive interior angles.
(Consecutive interior angles are are found between the two parallel lines and on the same side of the transversal)

Sum of two consecutive interior angles = 180°

so we have y + 75 = 180
y = 180-75 = 105

So y = 105

y and (3x+12) are opposite angles and are equal
So 3x+12 = y
3x + 12 = 105
3x = 105-12 = 93
x = 93/3 = 31

So x = 31

The algorithm computes the clustering coefficient C(G) of a graph G by counting the number of triangles and wedges in G based on its adjacency list representation.

It iterates over each vertex, calculates the number of wedges and triangles containing that vertex, and then computes the clustering coefficient as the ratio of triangles to wedges. The algorithm runs in O(D^2|V|) time, where D is the maximum degree of any vertex in G.

Algorithm for computing the clustering coefficient C(G) from the adjacency list of a graph G:

Step 1: Define a variable cc and set it to zero, which will hold the clustering coefficient value of G.

Step 2: Iterate over every vertex in G using the adjacency list G[v] and call the set of neighbors of v N(v).

Step 3: For each vertex v in G, the number of wedges containing v is computed by computing the number of pairs of neighbors of v that are themselves neighbors in G. The number of wedges containing v is precisely the number of pairs of neighbors of v that are also neighbors of each other. The number of such pairs is simply the number of edges between the vertices in N(v), which is the size of the set of edges (N(v) choose 2), which is simply N(v)(N(v) - 1) / 2.

Step 4: For each vertex v in G, compute the number of triangles that include v by iterating over the neighbors u of v and counting the number of times that u and another neighbor w of v are themselves neighbors in G. This count is the number of wedges formed between u, v, and w that contain the center vertex v, and is precisely the number of triangles containing v.

To count the triangles, we iterate over each vertex v in G, and for each neighbor u of v, we iterate over the neighbors w of v that have a larger ID than u. We then check whether (u, w) is an edge in G. If it is, we increment a counter for the number of triangles that contain v.

Step 5: Compute the clustering coefficient of G as C(G) = cc / sum(N(v)(N(v) - 1) / 2) for all vertices v in G, where cc is the number of triangles in G and the denominator is the total number of wedges in G (which is the sum of N(v)(N(v) - 1) / 2 over all vertices v in G).

Proof of correctness: The clustering coefficient of a graph G is defined as the ratio of the number of triangles in G to the number of wedges in G. A wedge is a path of length 2 that contains two neighbors of a vertex v, while a triangle is a cycle of length 3 that contains v and two of its neighbors.

To compute the clustering coefficient of a vertex v, we first count the number of wedges containing v and then count the number of triangles that contain v. The ratio of these two quantities is precisely the clustering coefficient of v.

To compute the clustering coefficient of G, we simply sum the clustering coefficients of all vertices in G and divide by the total number of vertices in G.

The running time of the algorithm is O(D2|V|), where D is the maximum degree of any vertex in G, since we must iterate over each vertex v and its neighbors, which takes time proportional to N(v)2 = (deg(v))2, and the sum of deg(v)2 over all vertices v in G is at most D2|V|.

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A) the three inequalities that must be satisfied are:

B) Graph shaded and satisfying all conditions is attached.

An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions.

It is most commonly used to compare the sizes of two numbers on a number line.

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The total area of the composite figure is 228 sq cm

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

The composite figure with 6 sides

The total area of the composite figure is the sum of the areas of the individual shapes

So, we have

Area = Area of Rectangle + Area of Rectangle

Using the above as a guide, we have the following equation

Area = 12 * 14 + (22 - 12) * 6

Evaluate the products

Area = 228

Hence, the total area of the figure is 228 sq cm

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\($\mathbb{Q}(\sqrt{2})$\) is isomorphic to \($\mathbb{Q}[x] /(x^2-2)$\), as desired.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

Show that \($\mathbb{Q}(\sqrt{2})$\) is isomorphic to \($\mathbb{Q}[x] /(x^2-2)$\) :

We define a function \($\phi\) : \(\mathbb{Q}[x] \to \mathbb{Q}(\sqrt{2})$\)  by \($\phi(f(x)) = f(\sqrt{2})$\).

This function is clearly a homomorphism since it preserves addition and multiplication.

Furthermore, we see that \($\phi(x^2-2) = (\sqrt{2})^2-2 = 0$\),

so the kernel of \($\phi\) contains the ideal generated by \($x^2-2$\).

By the first isomorphism theorem, there exists an isomorphism \($\operator{deg}(r) < \operator{deg}(x^2-2) = 2$\)\($\tilde{\phi} : \mathbb{Q}[x] /(x^2-2) \to\)\(\operator{im}(\phi)$.\)

It remains to show that \($\tilde{\phi}$\)  is surjective. Let \($a+b\sqrt{2} \in \mathbb{Q}(\sqrt{2})$\) be an arbitrary element. Since \($\mathbb{Q}[x]$\) is a polynomial ring, we can apply the division algorithm to find \($q(x),r(x) \in \mathbb{Q}[x]$\) such that \($a+b\sqrt{2} = q(\sqrt{2}) + r(\sqrt{2})$\)  where \($\operator{deg}(r) < \operator{deg}(x^2-2) = 2\).

But then \($r(\sqrt{2}) = a+b\sqrt{2} - q(\sqrt{2}) \in \operator{im}(\phi)\), so \($\tilde{\phi}$\) is surjective.

Therefore, \($\mathbb{Q}(\sqrt{2})$\) is isomorphic to \($\mathbb{Q}[x] /(x^2-2)$\), as desired.

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Answer:

0.14 or 0.142

Step-by-step explanation:

The measures of central tendency of the first psychology exam in a semester are the average score, which was an 85.

The correlation coefficient and the range of scores from 95 to 65 are not measures of central tendency either.

The standard deviation is a measure of variability, not central tendency, that the measures of central tendency of the first psychology exam are the average and median scores. This states that the mode, correlation coefficient, range of scores, and standard deviation are not measures of central tendency.

Hence, the measures of central tendency for the first psychology exam in a semester are the average score (85) and the median score (80).

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The measures of central tendency for the psychology exam scores include the average, median, and mode.

The measures of central tendency of the first psychology exam in a semester include the average score, median score, and mode (most frequently occurring score).

The average score on the exam was 85, which represents the mean of all the scores.

The median score on the exam was 80, which represents the middle value when all the scores are arranged in order.

The most frequently occurring score was 82, which represents the mode of the scores.

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Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.

A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.

Let x = calories in cookies.

     y = calories in carrots.

Now, according to the question:

     5x + 2y = 590                   --------------------------------------- (1)

     3x + 4y = 410                    -------------------------------------- (2)

Multiplying equation(1) by 3 and equation(2) by 5:

         15x + 6y = 1770                       ---------------------------(3)

         15x + 20y = 2050                   ---------------------------(4)

Solving we get:

    y = 280/14

or, y = 20 units.

Putting the value of y = 20 in equation (2)

    3x + 4y = 410

⇒  3x + 4 × 20 = 410

⇒ 3x = 410 - 80

⇒ x = 330/3

⇒ x = 110 Units

Therefore, the calories of cookies is 110 units .

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The equation for temperature change is T = -1.5t + 29 and the number line is plotted.

What is a number line?

A picture of numbers on a straight line is called a number line. It serves as a guide for contrasting and arranging numbers. Any real number, including all whole numbers and natural numbers, can be represented by it.

Let T represent the temperature in degrees Celsius, and let t represent the time in hours after lunchtime.

Then write an expression for the situation as follows:

T = -1.5t + 29

Here, -1.5t represents the decrease in temperature per hour, since the temperature is dropping at a rate of 1.5 degrees Celsius per hour.

Adding 29 to -1.5t gives the initial temperature of 29 degrees Celsius at lunchtime.

To illustrate this situation on a number line diagram, we can plot the temperature T as a function of time t.

The diagram would have time t on the horizontal axis and temperature T on the vertical axis.

Label the point (0, 29) on the diagram to represent the temperature at lunchtime, and the point (x, 16) to represent the temperature at sunset, where x is the number of hours after lunchtime.

Then draw a straight line connecting these two points to represent the linear relationship between temperature and time.

The line slopes downward from left to right, indicating that the temperature is decreasing over time.

Therefore, the number line diagram is plotted.

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On Tuesday at lunchtime, it was 29 degrees Celsius. By sunset, the temperature had dropped to 16 degrees Celsius. Please write an expression for the situation, and draw a number line diagram.

Since the sum of the numbers selected must exceed 1, we know that n must be at least 1. Therefore, the expected value of X is finite and is equal to 2.

The expected value of the count of numbers that are selected can be found using the geometric distribution, since it models the number of trials until a success occurs.

Let X be the number of numbers that are selected until the sum of all numbers exceeds 1. Then X has a geometric distribution with parameter p, where p is the probability of success on each trial, i.e. the probability that the sum of all numbers selected does not exceed 1.

Since the numbers are selected uniformly over [0, 1], the probability of success on each trial is given by the area under the curve between 0 and 1 after the first number is selected.

On the first trial, the probability of success is 1. On the second trial, the probability of success is the area under the curve between 0 and (1 - the first number selected).

On the third trial, the probability of success is the area under the curve between 0 and (1 - the sum of the first two numbers selected), and so on.

The expected value of X can be found using the formula for the expected value of a geometric distribution:

E(X) = 1/p

Since the expected value of the sum of n independent and identically distributed uniform [0, 1] random variables is n/2, we can use this to find p:

E(X_1 + X_2 + ... + X_n) = n/2

where X_1, X_2, ..., X_n are the n numbers selected.

So, p = 1 / (1 + n/2).

Finally, we can substitute this into the formula for E(X) to find the expected value of X:

E(X) = 1 / (1 - n/2) = 2 / (2 - n)

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The a = 0.Substituting the values of a, b, and c in the general equation, we get:y = 0x² + 2x + 3The quadratic function is:y = 2x + 3Answer: The quadratic function is y = 2x + 3.

The given table illustrates the values of a quadratic function. Here is how you can find the quadratic function:Step 1: Write the general form of a quadratic function y = ax² + bx + c, where y is the dependent variable and x is the independent variable. a, b, and c are constants that affect the shape and position of the parabola.Step 2: Substitute the values from the table for x and y to form a system of equations.Step 3: Solve the system of equations to find the values of a, b, and c. Once you have found these values, substitute them into the quadratic equation to get the quadratic function.

The given table is as follows:x   |  0   |  2   |  4  |   6y   |  3   |  1   |  -1  |   -3Step 2:Form a system of equations using the values in the table. Here are the equations:y = a(0)² + b(0) + cy = a(2)² + b(2) + cy = a(4)² + b(4) + cy = a(6)² + b(6) + cStep 3:Solve the system of equations.Using the first equation, y = c. Hence, we have:y = 0²a + 0b + c3 = cThe value of c is 3.Using the second equation, we have:y = 2²a + 2b + 3y = 4a + 2b + 3Subtracting the two equations, we get:- 2a - b = - 2a + b = 2b = 4Therefore, b = 2.Substituting the values of b and c into the first equation, we get:3 = a(0)² + 2(0) + 3

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Answer: 27

Step-by-step explanation:

when we replace the old divider with a new one that is n times faster. The original program execution time can be expressed as T0 = t_divide + t , and the new program can be expressed as T1 = 0.12t_divide(d/n) + 0.88t. The answer is n  2.49 (rounded to two decimal places).

The question requires us to calculate the value of n when the overall speedup for a program containing 12% divide operations is 1.7 when we replace the old divider by a new one that is n times faster. We need to round the answer to two decimal places.Steps to solve the given problem:

Let's consider that the program execution time consists of two parts. One part of the execution time consists of the divide operations and the second part consists of the program.In other words, the original program execution time can be expressed as:T0 = t_divide + t Suppose the old divider was taking d seconds for performing a divide operation, and the new divider takes d/n seconds to perform the same operation. This implies the time required for the divide operation using the new divider is n times faster than the old divider.

Therefore, the time for the new program can be expressed as:T1 = 0.12t_divide(d/n) + 0.88t (Equation 1)Here, we have considered that the divide operations constitute 12% of the program.The overall speedup is given as:T0/T1 = 1.7Solving for n:n = d/T0 * T1/n

Substituting T0 and T1 in the above equation, we get:

n = d / (0.12d/n + 0.88T0/n) Multiplying the numerator and denominator of the right-hand side of the above equation with n, we get

:n = n^2d / (0.12d + 0.88T0)

Taking square root on both sides and simplifying the expression, we get:

n = √(1.7 * 100/12)

≈ 2.49

Therefore, n ≈ 2.49 (Rounded to two decimal places).Answer: n ≈ 2.49 (Rounded to two decimal places).

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The complete equation of the piecewise function is;

-3        If x < -3

y = x    If -3 ≤ x ≤ 3

3     If x > 3

A piecewise function is defined as a type of function that is characterized by having different sub-functions. This tells us that the function value depends on the particular interval on which the function is defined in the x-axis. Thus, we can easily spot a piecewise function graph if the function graph changes instantly after an interval.

Now, it is pertinent to note that for inequalities, An open circle indicates "less than" or "greater than," while a closed circle indicates "greater than or equal to" or "less than or equal to".

Now, looking at the attached graph, we can write the piecewise function as;

-3        If x < -3

y = x    If -3 ≤ x ≤ 3

3     If x > 3

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Step-by-step explanation:

I can help you this much....