if a level .01 test is used and it is also required that b(30,500) 5 .05, what sample size n is necessary?

Answer:

Step-by-step explanation:

The two trains are moving apart from each other, so we can add their speeds to find their relative speed:

Relative speed = 75 + 95 = 170 miles per hour

We want to know how long it will take for the trains to be 204 miles apart. We can use the formula:

distance = rate × time

to solve for the time. Let t be the time in hours:

204 = 170t

Solving for t, we get:

t = 204/170

t ≈ 1.2 hours

Therefore, it will take approximately 1.2 hours for the two trains to be 204 miles apart.

Answer:

The option d is the correct answer

Answer:

She will be ready, and she will make it on time.

Step-by-step explanation:

Given:

\(Start\ Time = 10:20\ am\)

\(Planting = 5\ hours\)

\(Shower = 1\ hour\)

Required

Will she be ready by 5pm?

First, we calculate the time spent in planting and taking shower.

\(Time\ Spent = Planting + Shower\)

\(Time\ Spent = 5\ hours + 1\ hour\)

\(Time\ Spent = 6\ hours\)

Next, we calculate the end time. i.e. the time she'll finish these tasks.

\(End\ Time=Start\ Time + Time\ Spent\)

\(End\ Time=10:20\ am + 6\ hours\)

\(End\ Time=04:20\ pm\)

Since 04:20 pm is less than 5pm, then she will be ready, and she will make it on time.

The correct statement regarding the sign of the absolute value function is given as follows:

B. The function is never negative.

A function is classified as positive in the intervals that it's graph is positioned above the x-axis.

A function is classified as negative in the intervals that it's graph is positioned below the x-axis.

When the graph of the function is exactly at the x-axis, it is said that the function assumes a value of zero.

For this problem, the lowest value assumed by the function is at the x-axis, hence it is of zero and the function is never negative, meaning that option B is correct.

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The four critical points are: (0, 0) is a degenerate critical point, (0, 1/8) is a saddle point, (1/4, 0) is a saddle point, (1/6, 1/12) is a saddle point.

The function f(x, y) = xy(1 − 4x − 8y) has 4 critical points. To list them, we first need to find the partial derivatives with respect to x and y and equate them to zero.

df/dx = y(1-8y-4x) = 0

df/dy = x(1-8y-4x) = 0

On solving the above equations, we get the critical points: (0, 0), (0, 1/8), (1/4, 0), and (1/6, 1/12).

The type of critical point can be determined using the Hessian matrix, which is given by:

H = [f_xx f_xy; f_xy f_yy]

where f_xx, f_xy, and f_yy are the second-order partial derivatives of the function f(x, y) with respect to x and y. Evaluating the Hessian matrix at each critical point and analyzing its eigenvalues can help us determine the type of critical point.

The Hessian matrix at each critical point is given by:

H(0, 0) = [0 0; 0 0], which has eigenvalues λ1 = 0 and λ2 = 0, and hence, is a degenerate critical point.

H(0, 1/8) = [1/2 0; 0 1/8], which has eigenvalues λ1 = 1/2 and λ2 = 1/8, and hence, is a saddle point.

H(1/4, 0) = [−1 0; 0 0], which has eigenvalues λ1 = −1 and λ2 = 0, and hence, is a saddle point.

H(1/6, 1/12) = [−1/27 1/72; 1/72 1/288], which has eigenvalues λ1 = −1/144 and λ2 = 1/144, and hence, is a saddle point.

Therefore, the four critical points and their types (in increasing lexicographic order) are:

(0, 0) is a degenerate critical point.

(0, 1/8) is a saddle point.

(1/4, 0) is a saddle point.

(1/6, 1/12) is a saddle point.

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a. The constant of proportionality for the relationship is: k = 8.

b. 0 cups of milk will give 0 grams of protein

c. 2 grams of protein are in 4 cups of milk.

To find the constant of proportionality (k) use any point on the graph, (x, y), and find k = y/x.

a. Using a point on the given graph, (1, 8):

The constant of proportionality, k = y/x = 8/1

The constant of proportionality, k = 8

b. (0, 0), in the situation means that 0 cups of milk will provide 0 grams of protein. This is also the point of origin.

c. In this situation, what the point (4, 32) means is that 32 grams of protein are in 4 cups of milk.

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Answer:

$ 43.25

Step-by-step explanation:

68 - 40% = 40.8

40.8 + 6% = $ 43.25

A large population with a sample size of 30 or more has the smallest standard deviation, as the standard deviation is inversely proportional to the sample size. A smaller standard deviation indicates more consistent data. To minimize the standard deviation, the sample size depends on the population's variability, with larger sizes needed for highly variable populations.

If the population is large, a sample size of 30 or more will give the smallest standard deviation to the statistic. The reason for this is that the standard deviation of the sample mean is inversely proportional to the square root of the sample size.

Therefore, as the sample size increases, the standard deviation of the sample mean decreases.To understand this concept, we need to first understand what standard deviation is. Standard deviation is a measure of the spread of a dataset around the mean. A small standard deviation indicates that the data points are clustered closely around the mean, while a large standard deviation indicates that the data points are more spread out from the mean. In other words, a smaller standard deviation means that the data is more consistent.

when we are taking a sample from a large population, we want to minimize the standard deviation of the sample mean so that we can get a more accurate estimate of the population mean. The sample size required to achieve this depends on the variability of the population. If the population is highly variable, we will need a larger sample size to get a more accurate estimate of the population mean. However, if the population is less variable, we can get away with a smaller sample size.

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Answer:

Sure.

Step-by-step explanation:

So X is a variable meaning its a letter that represents a number. When there are a number and a variable (or a letter) like this 2x or 9y it means you are going to multiply the number by the variable. In this case it is 7 times x is equal to 21 so all we have to do is find what times 7 is equal to 21 and that number is 3. So if 7*x=21 is 7*3=21 then x=3. If you have any questions ill be more than open to answering them, hopefully this helped. Have a good day/night.

Answer:

Do you have a ruler?

Step-by-step explanation:

The dot plot of the data values is added as an attachment

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

85,88,75,100,90,90,88,72,72,79,88,85

Next, we create a frequency table

So, we have

Values   Frequency

72             2

75             1

79             1

85            2

88            3

90           2

100          1

Total      12

Using the frequency table above, we create the dot plot

See attachment for the dot plot

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The height of the oak tree in front of Igor's castle is approximately 57.27 ft. To find the height of the oak tree, we can use the principle of similar triangles.

The height of the tree can be determined by comparing the ratio of the height of Igor to the distance between Igor and the mirror with the ratio of the height of the tree to the distance between the mirror and the tree.

Let's represent the height of the oak tree as 'h'. According to the problem, Igor's eye height is 4.5 ft, and he is 5.5 ft away from the center of the mirror. The mirror is placed 70 ft from the tree.

Using the similar triangles concept, we can set up the following proportion:

(height of Igor) / (distance between Igor and mirror) = (height of tree) / (distance between mirror and tree)

Plugging in the given values, we have:

4.5 ft / 5.5 ft = h / 70 ft

Solving this proportion, we find:

(4.5 ft * 70 ft) / 5.5 ft = h.

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To cut a square piece of wood with an area of 173 square inches then sides of the square be 13.2inch(rounded to the nearest tenth of an inch).

As given in the question,

Area of the square piece of wood=47 square inches

Area of a square=(side)²

Let x inch be the side of the square piece of wood

x²=173

⇒x=√173

⇒x=13.15

⇒x=13.2 inch (rounded to the nearest tenth of an inch)

Therefore, to cut a square piece of wood with an area of 173 square inches then sides of the square be 13.2inch(rounded to nearest tenth of an inch).

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Answer:

36%

Step-by-step explanation

Explanation:

To get the percentage of a fraction, we follow these steps:

1- simplify the fraction (get its simplest form)

2- multiply this simplest form by 100%

For the given, we have:

1- the fraction is

We can note that both the numerator and denominator are divisible by 2. Therefore, we can reduce the fraction into

2- Since no further simplification can be applied, therefore, our simplest form is

3- we multiply this simplest form by 100%:

* 100 = 36%

Based on the above:

18 is 36% of 50

Hope this helps :)

Answer:

36%or 0.36

Step-by-step explanation:

hope it help!

The correlation between the property damage due to earthquakes in Denton and Argyle, and the number of severe pest infestations in Corn Farm X and Corn Farm Y is **zero correlation**.

The correlation coefficient measures the strength and direction of the linear relationship between two random variables. A correlation coefficient of 1 indicates a perfect positive linear relationship, -1 indicates a perfect negative linear relationship, and 0 indicates no linear relationship.

For Pair 1, the property damage due to earthquakes in Denton and Argyle, we cannot establish a direct cause-and-effect relationship between the two locations.

While Argyle is only 7 miles away from Denton, the property damage in each location can be influenced by various factors such as building structures, soil composition, and local geological conditions.

These factors may vary significantly within a small geographical distance, leading to different levels of property damage. Therefore, the correlation between the property damage in Denton and Argyle is likely to be close to zero.

For Pair 2, the number of severe pest infestations in Corn Farm X and Corn Farm Y, the distance of 2000 miles between the two farms suggests that they are located in different regions with potentially different climate conditions, soil types, and pest populations. As a result, the occurrence of severe pest infestations in one farm may not directly influence the occurrence in the other.

The independent factors affecting pest infestations, such as agricultural practices, pest control measures, and environmental factors, are likely to contribute to the absence of a significant correlation between the two farms.

In both cases, without a direct and consistent relationship between the variables, the correlation is expected to be close to zero.

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Answer:

x = 73

Step-by-step explanation:

The sum of both angles is 158

85+x = 158

Subtract 85 from each side

85+x-85 = 158-85

x = 73

Answer:

65

Step-by-step explanation:

150 - 85=65

Answer:

y = 3x - 5

Step-by-step explanation:

Point-slope form: y - y₁ = m(x - x₁)

Substitute the values for the variables.

y - 7 = 3(x - 4)

y - 7 = 3x - 12

y = 3x - 5

Answer:

good luck

Step-by-step explanation: you gonna need it UvU

Answer:

It's intercepts 3

Step-by-step explanation:

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A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.

An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.

On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.

The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.

For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.

For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.

Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.

A Markov chain model, also known as a Markov process or simply a Markov model, is a mathematical framework used to describe and analyze systems that evolve over time.

To create a Markov chain model for a rat wandering through the maze, we need to consider the different states the rat can be in and the probabilities of transitioning between these states.

In this maze, the rat can be in different rooms. Let's say there are three rooms: A, B, and the center room (C). The center room is an absorbing state, which means that once the rat enters this room, it will stay there and not move to any other room.

To create the Markov chain, we need to define the transition probabilities between the different rooms. Since the rat is equally likely to leave its current room through any of the doorways, the transition probabilities for each room will be 1/3.

Here is an example of the transition probabilities:

1. From room A:
  - Probability of transitioning to room B: 1/3
  - Probability of transitioning to the center room C: 1/3
  - Probability of staying in room A: 1/3

2. From room B:
  - Probability of transitioning to room A: 1/3
  - Probability of transitioning to the center room C: 1/3
  - Probability of staying in room B: 1/3

3. From the center room C:
  - Probability of staying in room C: 1

Once the transition probabilities are defined, we can represent the Markov chain using a transition matrix. In this case, the transition matrix will be a 3x3 matrix, where each row represents the current room and each column represents the next possible room. The values in the matrix will correspond to the transition probabilities.

Transition matrix:
```
| 1/3   1/3   1/3 |
| 1/3   1/3   1/3 |
|   0     0     1   |
```

Note that the last row of the matrix represents the absorbing state (center room C), where the probability of transitioning to any other room is 0, and the probability of staying in the center room is 1.

By using this Markov chain model, we can analyze the rat's behavior and calculate probabilities of different events, such as the number of periods it takes for the rat to reach the center room or the probability of the rat being in a specific room after a certain number of periods.

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Answer:  105 of them are hummingbirds.

Step-by-step explanation:

I there are a total of 350  birds then 30% o 350 will give the number o hummingbirds.

350 of 30%

350 * 0.3 = 105

Answer:

B

Step-by-step explanation:

Two 90 degree angles add up to 180, a supplementary angle

Correction: The answer is B, I have made a mistake. Sorry.

Answer:

Yes!

Step-by-step explanation:

Because, x-intercepts are not being repeated and pass the vertical line test.

Step-by-step explanation: Subtract the numbers

8x^2+4-12=8x^2-8

Anaswer: 8x^2-8

If this wasn't the right answer sorry

Answer:

8x^2+4-12=64x+4-12

64x+4-12= 4(16x-3)

hope it helps!!!!!

First, by solving for y, convert the equation of the given line into slope-intercept form y=mx+c .You obtain the slope of the equation as m. Since the slopes of perpendicular lines are negative reciprocal, the slope of the line we're looking is the negative reciprocal of the perpendicular equation.

By entering the supplied point into the formula y = mx + b and solving for b, we arrive at the value of b. Consequently, the line's equation is formed.

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively.

m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

A line's slope often indicates the steepness and direction of the line.

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m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

Given that total amount of metal in the beginning = 8.2 square feet

Given that used amount of metal = 2.1 square feet

Then remaining amount of metal = (8.2-2.1) = 6.1 square feet

Now it says that "$183 worth of sheet metal remaining".

That means cost of 6.1 square feet is $183.

Let cost of 1 square feet of the metal = x

Then cost of 6.1 square feet of the metal = 6.1x

Both expressions 6.1x and $183 represent the cost of the remaining metal so the required equation will be:

6.1x=183

Now we can solve it to find the solution

x=183/6.1

x=30

So the cost per square feet of the metal = $30

Answer : Hence final answer is $30 per square feet.

Answer:

9.2x - 4.1x = 204

1 square foot = $40

Step-by-step explanation:

9.2x - 4.1x = 204

5.1x = 204

x = 204/5.1

x = $40

The described experiment design is a randomized controlled trial (RCT) with a double-blind setup, where participants with chronic pain are randomly assigned to receive either the new pain relief medicine or a placebo, and the order of the treatments is also randomly assigned.

In an RCT, participants are randomly assigned to different groups to receive different interventions or treatments.

In this case, the volunteers with chronic pain are randomly assigned to two groups: one group receives the new pain relief medicine for a 2-week period, followed by a placebo for another 2-week period, while the other group receives the placebo first and then the pain relief medicine.

The random assignment helps minimize selection bias and ensures that any differences observed between the groups can be attributed to the treatments rather than other factors.

Furthermore, the fact that the participants do not know which pill they are taking adds a double-blind element to the experiment. This means that neither the participants nor the researchers assessing the outcomes are aware of the treatment assignment, reducing potential bias in reporting pain levels.

By measuring the difference in overall pain level before and after each treatment period, the researchers can evaluate the effectiveness of the new pain relief medicine compared to the placebo. This design allows for a direct comparison of the outcomes between the two groups, providing valuable evidence on the efficacy of the medication.

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The given sequence is an = n/(42+3n).

To determine whether it converges or diverges, we can use the limit comparison test. Taking the limit as n approaches infinity of the ratio of an and n, we get lim n→[infinity] an/n = lim n→[infinity] n/(n(42/ n+3)) = lim n→[infinity] 1/(42/ n+3) = 1/42.

Since the limit is a finite positive number, the sequence converges. To find the limit, we can use the fact that the sequence converges to the same limit as an = 1/(42/ n+3).

Taking the limit as n approaches infinity of 1/(42/ n+3), we get lim n→[infinity] 1/(42/ n+3) = 0. Therefore, the limit of the given sequence is 0.

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Complet question:

determine whether the sequence converges or diverges. if it converges, find the limit. (if an answer does not exist, enter dne.) an =  n/(42+3n) lim n→[infinity] an =

The given sequence is an = n/(42+3n).

To determine whether it converges or diverges, we can use the limit comparison test. Taking the limit as n approaches infinity of the ratio of an and n, we get lim n→[infinity] an/n = lim n→[infinity] n/(n(42/ n+3)) = lim n→[infinity] 1/(42/ n+3) = 1/42.

Since the limit is a finite positive number, the sequence converges. To find the limit, we can use the fact that the sequence converges to the same limit as an = 1/(42/ n+3).

Taking the limit as n approaches infinity of 1/(42/ n+3), we get lim n→[infinity] 1/(42/ n+3) = 0. Therefore, the limit of the given sequence is 0.

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Complet question:

determine whether the sequence converges or diverges. if it converges, find the limit. (if an answer does not exist, enter dne.) an =  n/(42+3n) lim n→[infinity] an =

Answer: first blank: jen

second blank: mean

Step-by-step explanation:

N/A