The experimental probability of rolling a 3 is

%, which is approximately

% more than its theoretical probability. (Round off your answers to the nearest integer.)

Answer: Dude adove is WRONGGG

Step-by-step explanation:

ANSWER IS  540

Answer:

  c. 540°

Step-by-step explanation:

You want to know which angle θ has cos(θ) = -1.

The cosine function is periodic with period 360°. The smallest positive angle θ for which cos(θ) is -1 is 180°. The next such angle is ...

  180° +360° = 540° . . . . . choice D

__

Additional comment

A graph of the cosine function is attached. The horizontal axis is in degrees.

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The correlation between X and Y, captured by the joint pmf Px,y(x,y), allows for this difference in heights and explains the seemingly contradictory result.

The given scenario states that there is a joint probability mass function (pmf) Px,y(x,y) with marginal probabilities Px(u) = Py(u) for all u. However, it also states that the probability of Y being greater than X, P(Y > X), is greater than or equal to 0.9.

This situation seems contradictory at first, as the marginals are equal but the probability of Y being greater than X is significantly high. However, it is important to note that the joint pmf Px,y(x,y) accounts for the correlation between X and Y, not just their marginals.

The correlation between X and Y allows for the possibility that Y may be greater than X with a high probability, even though the marginals are equal. This indicates a dependence between the two random variables.

To illustrate this, let's consider an example where X and Y represent the heights of two groups of individuals. The equal marginals Px(u) = Py(u) imply that the heights in each group have the same distribution. However, the high probability of Y being greater than X (P(Y > X) ≥ 0.9) suggests that, on average, the individuals in one group tend to be taller than those in the other group.

Therefore, the correlation between X and Y, captured by the joint pmf Px,y(x,y), allows for this difference in heights and explains the seemingly contradictory result.

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There are only one way to pick exactly 6 of the 7 winning numbers without regard to order.

There are "1 to 70 numbers, choose 7 " or 70C7 ways to pick 7 correctly.

AND

you must also pick 1 wrong number.  That wrong number has to be

different from any of the 7 correct numbers, and so there are

40-6 or 34 wrong numbers you could have picked.  That's 34 wrong

numbers, choose 1 or 34C1. Since AND means to multiply, the

numerator is 6C5 X 34C1=204

The denominator is the same 3838380 as in part (A)

So the desired probability is 204 / 38380 = 17 / 319865.

However that's just the probability of winning the $10000.

The words "probability of winning" could be taken as the

probability of winning either $1,000,000 OR $10,000. So

P(winning $1,000,000 OR winning $10,000) and since

"OR" means "ADD", we add the probability found in part A,

so the correct answer is 1 / 38380 + 204 / 38380 = 205 / 3838380

=41 / 767676,

the probability of winning a million or ten thousand.

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The adjacent side of a parallelogram are 15 cm and 9 cm in length. If the perpendicular distance between the shorter side is 7 cm. Distance between longer side will be 4.2 cm

A unique kind of quadrilateral known as a parallelogram is defined by having both pairs of opposite sides parallel and equal. An ABCD parallelogram with AB II CD and AD II BC is seen in the provided illustration. As well, as AB = CD and AD = BC. 

Similar to how the area of a rectangle is calculated, the formula for calculating the area of a parallelogram is base times height.

Since, Area of parallelogram = side × height

So, Area =9 × 7=63 square cm

Again apply area formula along longer side.

Since area remains same so,

Area = side × height

63 = 15 × height

So, height = 63 ÷ 15

height = 4.2 cm

Hence the required perpendicular distance along longer side will be 4.2 cm.

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Answer:

2.9 cm³

Step-by-step explanation:

Note: For the copper and the lead to balance, they must have thesame mass.

Applying,

D' = m'/V.................... Equation 1

Where D' = density of the lead, m' = mass of the lead, V = Volume of the lead.

make m' the subject of the equation

m' = D'V................ Equation 2

From the question,

Given: D' = 11.4 g/cm³, V = 2.28 cm³

Substitute these values into equation 2

m' = (11.4×2.28)

m' = 25.992 g

Similarly,

for copper,

D = m/V............... Equation 3

Where D = density of  copper, m = mass of copper, V = volume of copper.

make V the subject of the equation

V = m/D.............. Equation 4

where, m = m' = 25.992 g

Given: D = 8.96 g/cm³

Substitute these values into equation 4

V = 25.992/8.96

V = 2.9 cm³

To use the splitpts function in Matlab, you will first need to define two sets of points with different arrays for each set. Then, you can use the syntax newSetOfPoints = splitpts(originalSetOfPoints) to split the original set of points into two new sets.

The "splitpts" function in MATLAB is used to split a set of points into two sets based on a specified split point. Here are the steps to use this function:

1. Define the set of points you want to split. For example:
```
points = [1 2 3 4 5 6 7 8 9 10];
```

2. Specify the split point. This can be any number between the minimum and maximum values of the set of points. For example:
```
splitPoint = 5;
```

3. Use the "splitpts" function to split the set of points into two sets. The first set will contain all the points less than or equal to the split point, and the second set will contain all the points greater than the split point. For example:
```
[set1, set2] = splitpts(points, splitPoint);
```

4. The resulting sets will be stored in the variables "set1" and "set2". You can display these sets using the "disp" function:
```
disp(set1);
disp(set2);
```

The output will be:
```
1 2 3 4 5
6 7 8 9 10
```

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Answer:

There are 4 terms

Step-by-step explanation:

“Terms are single numbers, variables, or the product of a number and variables. Examples of terms: 9 a 9a 9a. y y y.”

Answer:

90.6

Step-by-step explanation:

total is 181.2 divided by 2 is 90.6

The function f is increasing on the interval (6, ∞).

The function f will be increasing in the intervals where f'(x) > 0.

To find these intervals, we can examine the sign of each factor of f'(x), which is (x + 1)²(x - 3)⁵(x - 6)⁴.

We can analyze the sign of f(x) by considering the factors individually:

(x+1)²: This factor is always positive since it is the square of a real number.

(x - 3)⁵: This factor is positive when x>3 and negative when x< 3.

(x - 6)⁴: This factor is positive when x>6 and  negative when x< 6.

We need to consider the overlapping regions of positivity for each factor.

When x>6, all three factors are positive, so  f ′ (x) is positive.

When 3<x<6: In this interval, the factor  (x+1)² is positive, but both (x−3)⁵ and (x−6)⁴ are negative.

Thus, f ′ (x) is negative.

When x<−1: In this interval,  (x+1)² is negative, while (x−3)⁵ and (x−6)⁴ are positive.

Hence, f ′ (x) is negative.

Therefore,  the function f(x) is increasing on the interval x>6.

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Answer:

# 1 - slope = 1/2

# 2 - slope = -5/3

# 5 - slope = 5/3

Step-by-step explanation:

going from where the point crosses at the y-axis it goes up 1 over 2 times

going from where the point crosses the y-axis it goes down 5 over 3

y_2 - y_1 / x_2 - x_1

5 - 0 = 5

4 - 1 = 3

Answer:

D. 8

Step-by-step explanation:

8*3=24

8*5=40

8*4=32

Answer:

132sq.

Step-by-step explanation:

The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.

The sample variance is a measure of how much the individual data points in a sample vary from the mean.

It is calculated by finding the average of the squared differences between each data point and the mean.

To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:

Calculate the mean (average) of the data set:

Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90

Subtract the mean from each data point and square the result:

(93 - 90)^2 = 9

(89 - 90)^2 = 1

(91 - 90)^2 = 1

(87 - 90)^2 = 9

(91 - 90)^2 = 1

(89 - 90)^2 = 1

Calculate the sum of the squared differences:

9 + 1 + 1 + 9 + 1 + 1 = 22

Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):

Variance = 22 / 5 = 4.4

It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.

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To determine the critical value of t for constructing a 90% confidence interval for the difference between the means of two populations, we need to consider the degrees of freedom and the desired confidence level.

In this case, we have two distinct populations with sizes 7 and 8, which gives us (7-1) + (8-1) = 13 degrees of freedom.

Looking up the critical value of t for a 90% confidence level and 13 degrees of freedom in a t-table or using statistical software, we find that the critical value is approximately 1.771.

Therefore, the correct answer is option b) 1.771.

The critical value of t is necessary to account for the uncertainty in the estimate of the difference between the population means. By selecting the appropriate critical value, we can construct a confidence interval that is likely to contain the true difference between the means with a specified confidence level. In this case, a 90% confidence interval is desired.

The critical value is determined based on the desired confidence level and the degrees of freedom, which depend on the sample sizes of the two populations. Since we have populations of sizes 7 and 8, the total degrees of freedom is 13. By looking up the critical value of t for a 90% confidence level and 13 degrees of freedom, we find that it is approximately 1.771. This value indicates the number of standard errors away from the sample mean difference that corresponds to the desired confidence level.

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Step-by-step explanation:

domain XER\{2kπ},kE

The function (f-g)(x) is in standard form -3x²+ 3x -14.

A quadratic function is  of the form f(x) = ax2 bx c, where a, b, and c are numbers for which a is not  zero. The graph of a quadratic function is a curve called a parabola. Parabolas can open up or down and vary in "width" or "steepness", but they all have the same U shape.  

To find (f-g)(x), we must subtract g(x) from f(x):

(f-g)(x) = f(x) - g(x)

We already know that f(x) = x-9 and g(x) = 3x² - 2x + 5, so we can substitute them into the equation above:

(f-g) (x) = (x-9) - (3x² - 2x + 5)

Now we can simplify by dividing the negative sign by the second term:

(f-g)(x) = x - 9 - 3x² + 2x - 5

Combining like terms, we get:

(f-g)(x) = -3x² + 3x -14

Therefore, the function (f-g)(x) is -3x² + 3x - 14 in standard form.

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Step-by-step explanation:

b²=20²-12²

b=√16²

b=16

missing length=24-16=8

missing side ²=12²+8²

side²=144+64

side²=208

side = 14.42.

option D is correct answer.

hope this helps you.

Since 2 is not in this range, we can conclude that there is evidence against the hypothesis that Psi (theta) = 2.

Given a 0.95-confidence interval for a characteristic Psi (theta) is given by (1.23, 2.45). We are then asked if there is any evidence against the hypothesis H0: Psi (theta) = 2, the conclusion and reasoning are as follows: Conclusion: There is evidence against the hypothesis H0: Psi (theta) = 2.Justification:We know that the confidence interval is given by (1.23, 2.45), which means that if the true value of Psi (theta) is 2, then we would expect the confidence interval to contain the value 2. However, since the confidence interval does not contain the value 2, we have evidence against the hypothesis that Psi (theta) = 2. This is because the confidence interval represents the range of values that we are reasonably certain the true value of Psi (theta) falls within.

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To determine if there is evidence against the hypothesis \(H_0: \Psi (\theta) = 2\), we need to check if the hypothesized value of 2 falls within the given 0.95-confidence interval (1.23, 2.45).

Since the hypothesized value of 2 lies within the confidence interval, we can conclude that there is no evidence against the hypothesis \(H_0: \Psi (\theta) = 2\). In other words, the data supports the hypothesis that the characteristic \(\Psi\) is equal to 2.

The confidence interval (1.23, 2.45) suggests that we can be 95% confident that the true value of the characteristic \(\Psi\) falls within this interval. Since the hypothesized value of 2 falls within this interval, it is consistent with the data, and we do not have sufficient evidence to reject the hypothesis \(H_0: \Psi (\theta) = 2\).

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The area of the shaded circle is given as follows: 84.82 cm².

The area of a circle of radius r is given by pi multiplied by the radius squared, as given by the formula presented next:

\(A = \pi r^2\)

In this problem, we have that the important data is given in the bullet-points as follows:

Hence the shaded area in cm² can be found a applying the formula given at the beginning of this problem, as is presented below:

\(A = 0.75\pi \times 6^2 = 84.82\)

The multiplication by 0.75 happened because as stated in the bullet point, the shaded area corresponds to only 75% of the entire circle.

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The sixth term of the arithmetic progression is 94.

An arithmetic progression is a sequence of numbers such that the difference between any two successive members of the sequence is a constant.

Let's call the first term of the arithmetic progression "a" and the common difference "d". Then the nth term of the progression can be found using the formula:

an = a + (n-1)d

We know that the sum of the first four terms is 14, so we can set up the following equation:

a + (a+d) + (a+2d) + (a+3d) = 14

We also know that the sum of the first eight terms is 108, so we can set up another equation:

a + (a+d) + (a+2d) + (a+3d) + (a+4d) + (a+5d) + (a+6d) + (a+7d) = 108

Now we can use the first equation to substitute for the first four terms of the second equation:

14 + (a+4d) + (a+5d) + (a+6d) + (a+7d) = 108

This gives us:

a + 4d = 94

So the sixth term can be found by substituting n = 6 into the first formula:

a + (6-1)d = a + 5d = 94

Therefore, the sixth term of the arithmetic progression is 94.

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Answer: I do not understand

Step-by-step explanation:

The system has exactly one solution, which is (p, q) = (-0.2118, -8.0).

We are given the system of equations:

1.7p - 0.34q = 0

0.17(q+1) - 0.85(p-1) = 0

We can simplify the second equation by distributing the 0.17 and 0.85 terms:

0.17q + 0.17 - 0.85p + 0.85 = 0

0.17q - 0.85p = -0.72

Now we have two equations in two variables, which we can solve using substitution or elimination. We will use elimination here.

Multiplying the first equation by 5, we get:

8.5p - 1.7q = 0

Multiplying the second equation by 2, we get:

0.34q - 1.7p = -1.44

Adding these two equations, we get:

6.8p = -1.44

p = -0.2118

Substituting this value of p into either of the original equations, we get:

1.7(-0.2118) - 0.34q = 0

q = -8.0

So the system has exactly one solution, which is (p, q) = (-0.2118, -8.0).

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The value stored in the variable x after the execution of the following code snippet will be b) 2.

The right-click context menu option or a combination of hotkeys can be used to add code snippets, which are compact chunks of reusable code, to a code file. Although try-finally and if-else blocks, for example, are frequently used code blocks found in code snippets, you can also use them to add whole classes or methods.

Learn more about using the templates tool to create reusable emails. Applications and web pages use snippets. Snippets are made to be reusable and to add functionality, like connecting various parts of a program.

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Answer:

7x+2y<2 will have a shaded area below the boundary line

The system in problem 2 exhibits asymptotic stability at the origin, as indicated by the direction field, the general solution, and the trajectories, which all converge towards the origin as t approaches infinity.

Problem 2:

a. The direction field for the system of equations is shown below.

The direction field shows that the trajectories of the system are all headed toward the origin. This is because the Jacobian matrix for the system has eigenvalues of -1 and -2, which means that the system is asymptotically stable at the origin.

b. The general solution of the system is given by

\(x = c1e^{-t} + c2e^{-2t\)

\(y = c3e^{-t }+ c4e^{-2t}\)

where c1, c2, c3, and c4 are arbitrary constants. As t → ∞, the terms \(e^{-t\)and \(e^{-2t\) both go to 0, so the solution approaches the origin.

c. A few trajectories of the system are plotted below.

As you can see, all of the trajectories approach the origin as t → ∞.

Interpretation:

The direction field and the general solution show that the system is asymptotically stable at the origin. This means that any initial condition will eventually approach the origin as t → ∞.

The trajectories of the system all approach the origin in a spiral pattern. This is because the eigenvalues of the Jacobian matrix have negative real parts, which means that the system is stable but not asymptotically stable.

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Answer:

1:55 pm

Step-by-step explanation:

So, you arrive at 4: 15 pm in Orlando after a 2 hr and 20 minute flight from Houston.  So, lets start with the easy part: let's subtract the 2 hrs part.  

2 hrs earlier from 4:15 pm is 2:15 pm.

Then, you have to subtract the 20 minutes.  Well, it's quite obvious that if you left at 2:00 pm, that would be a total of 2 hrs and 15 minutes.  Just subtract the 15 minutes from the 2:15 pm.  However, it's 20 minutes, not 15, so you have to still subtract that last five minutes.  

So, 2:00 pm minus 5 minutes would equal 1:55 pm.