how are they similar?

Before conducting a t-test for one mean, we need to check whether the conditions for inference are met.

The conditions for conducting a t-test for one mean are:

The sample should be a simple random sample from the population or a randomized experiment.

The population should be normally distributed or the sample size should be sufficiently large (n > 30).

The population standard deviation is unknown, but the sample standard deviation can be used as a good estimate.

Assuming that the teacher has taken a simple random sample of his coffee cooling time and the sample size is less than 30, we need to check the normality condition.

Since the sample size is less than 30, we should use a normal probability plot or a histogram to check the normality of the data. If the data is approximately normal, we can proceed with the t-test for one mean. If the data is not normal, we cannot use the t-test and should consider using a non-parametric test instead.

However, we do not have any information on the distribution of the sample. The teacher should check the normality of his sample using a normal probability plot or a histogram. Without this information, we cannot say whether the conditions for inference are met or not.

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Answer:

a Answers is A

b Answer is D

Step-by-step explanation:

he sayed that the X doubles in the first one so its ×2

and in the second one he sayed that the x is only triples so we dont have to Multiply we have to devide it 5/x/3=5/x ×1/3

Answer:

[12,48]

Step-by-step explanation:

We will start by calculating the score she needs to get a 70 in the class

We will let x equal the fourth test

\(\frac{90+93+85+x}{4} =70\)

This isn't hard to solve and we will do so by multiplying 4 by both sides and subtracting 268 (90+93+85)

This means that x= 12

We will then use the same formula but set it equal to 79

\(\frac{90+93+85+x}{4} =79\)

We solve x in the exact same way and get x=48

our final answer is now [12,48]

Answer:

where is it?

Step-by-step explanation:

The correct value will be :  (-12sqrt(325) + 30sqrt(130))/65

We can use the sum formula for sine:

sin(theta + phi) = sin(theta)cos(phi) + cos(theta)sin(phi)

Given that theta is in Quadrant I, we know that sin(theta) is positive. Using the Pythagorean identity, we can find that cos(theta) is:

cos(theta) = \(sqrt(1 - sin^2(theta)) = sqrt(1 - (12/13)^2)\) = 5/13

Similarly, since phi is in Quadrant II, we know that sin(phi) is positive and cos(phi) is negative. Using the Pythagorean identity, we can find that:

sin(phi) = \(sqrt(1 - cos^2(phi))\)

           = \(sqrt(1 - (-sqrt(5)/5)^2)\)

           = sqrt(24)/5

cos(phi) = -sqrt(5)/5

Now we can substitute these values into the sum formula for sine:

sin(theta + phi) = sin(theta)cos(phi) + cos(theta)sin(phi)

                        = (12/13)(-sqrt(5)/5) + (5/13)(sqrt(24)/5)

                        = (-12sqrt(5) + 5sqrt(24))/65

We can simplify the answer further by rationalizing the denominator:

sin(theta + phi) = \([(-12sqrt(5) + 5sqrt(24))/65] * [sqrt(65)/sqrt(65)]\)

= (-12sqrt(325) + 30sqrt(130))/65

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Answer:

The answer is 4 minutes

Step-by-step explanation:

I divided 825 by 3 and got 165. If you multiply 165 by all the factors, you get approximately 4 minutes. It's the closest. Try that one.

Answer:

25%

Step-by-step explanation:

You can't determine what it is going to land on but this is the answer!

Ps.Im not completely sure no hate please :)

Answer:

It'll be 18% to the nearest percent

Step-by-step explanation:

2/5 × 45 = 18

Answer:

The answer is 18%

Step-by-step explanation:

The formula to find experimental probability is number of favorable outcomes/total number of trails. Our favorable outcome here is C ( the outcome we want), and it occurs 8 times. The spinner is spun 45 times so there are 45 trials. This means we get 8/45. 8 divided by 45 equals 0.177777778. When rounded up equals 0.18=18%.

Hope this helps for you K12 math test.

Answer:

6,562.5 miles

Step-by-step explanation:

The proportion is 1,875 miles/1 hour.

At that speed, the distance can be calculated when the time is known, which is 3.5 hours in this case:

  (1,875 miles/hr)*(3.5 hr) = 6562.5 miles

Answer:

0.24

Step-by-step explanation:

it was 0.24161073 not simplified but since the 1 after the 4 is not greater than five it stays the same and it beccome 0.24

We do not know the probability of rolling a sum of 8 in event X, we cannot calculate this probability exactly. However, we can say that the probability of neither event X nor event Y occurring is greater than or equal to 0.46.

To solve this problem, we need to find the probability that neither event X nor event Y will occur.

The probability of rolling a sum of 8 on two dice in event X is not given, so we cannot use this information to calculate the probability of the complement of event X (i.e. not rolling a sum of 8). However, we know that the probability of rolling an 11 in event X is also not given. Therefore, we cannot use the information from event X to calculate the probability of the complement of event X.

In event Y, we know the probabilities of rolling a 2, 9, and 4. We can use this information to calculate the probability of not rolling any of these numbers in event Y.

The probability of rolling a number other than 2, 9, or 4 on one die is 3/6 = 1/2. Therefore, the probability of rolling a number other than 2, 9, or 4 on two dice is \((1/2)^2\) = 1/4.

The probability of not rolling a 2, 9, or 4 on two dice is the product of the probability of not rolling a 2, the probability of not rolling a 9, and the probability of not rolling a 4.

So, the probability of not rolling a 2, 9, or 4 in event Y is (1-0.28) * (1-0.17) * (1-0.12) = 0.46.

Therefore, the probability of neither event X nor event Y occurring is the product of the probability of not rolling a sum of 8 in event X and the probability of not rolling a 2, 9, or 4 in event Y, which is:

P(neither X nor Y) = (1 - P(X = 8)) * 0.46

Since we do not know the probability of rolling a sum of 8 in event X, we cannot calculate this probability exactly. However, we can say that the probability of neither event X nor event Y occurring is greater than or equal to 0.46.

In summary, we cannot calculate the probability of neither event X nor event Y occurring exactly, but we know that it is greater than or equal to 0.46.

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Area of a triangle = 1/2 (base x height) Here, we are given the height of the triangle as 10 m; hence, we can use the above formula to determine the base of the triangle.

Area of a triangle = 1/2 (b x 10) Given that we want the base of the triangle, we can rearrange the above equation to obtain the following:

b = (2 x Area of a triangle)/10

Since we do not have the value of the area of the triangle, we will use the Pythagorean theorem to find the third side, which will assist us in determining the area of the triangle.

Pythagorean Theorem states that:

Hence, we can use this theorem to calculate the third side of the triangle. The triangle's hypotenuse is equal to 10m, which is the given height of the triangle.

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The equation most closely models the line of best fit for the scatter plot is y = 2.5x

A line is the distance between two points. The equation of a line in point-slope form is given as y =mx + b

where:

m is the slope or rate of change

b is the intercept

Using the coordinate points on the line (3, 5000) and (9, 20000)

Get the rate change(slope)

Slope = 20000-5000/9-3

Slope = 15000/6 = 2500

Determine the y-intercept by substituting

5000 = 2500(3) + b

b = 5000 - 7500

b = -2500

Determine the equation

y = 2.5x - 2.5

Hence the equation most closely models the line of best fit for the scatter plot is y = 2.5x

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Given:

Initial savings in Katie's account = $230

Additional savings = $5 per month

To find:

The expression that represents the money Katie will have in her savings account after x months.

Solution:

Let x be the number of months.

Additional savings for 1 month = $5

Additional savings for x months = $5x

Now,

Total savings = Initial saving + additional savings for x months.

\(\text{Total savings}=230+5x\)

Therefore, the required expression is \(230+5x\).

The correct confidence interval for a population mean at a 98% confidence level is approximately (94.685, 121.569). Therefore, the correct choice is (94.725, 121.529).

To construct a confidence interval for a population mean, we can use the formula:

Confidence Interval = sample mean ± (critical value * standard error)

First, we need to determine the critical value for a 98% confidence level. Since the sample size is large (n = 28), we can use the z-table to find the critical value. For a 98% confidence level, the critical value is approximately 2.33.

Next, we calculate the standard error using the formula:

Standard Error = sample standard deviation / √(sample size)

In this case, the sample standard deviation is 30.4888 and the sample size is 28. Therefore:

Standard Error = 30.4888 / √(28) ≈ 5.769

Now we can construct the confidence interval:

Confidence Interval = 108.127 ± (2.33 * 5.769) = (108.127 ± 13.442) = (94.685, 121.569)

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(B) The value of x that produces the maximum revenue is 16, and the maximum revenue is $128,000. (C) The wholesale price per computer that produces the maximum revenue is $920.

(A) To graph the revenue function R(x) = x(2,000 - 60x), we can plot points by substituting various values of x within the given domain and calculating the corresponding values of R(x). Connecting these points will give us the graph of the revenue function.

(B) To find the value of x that maximizes revenue, we can use calculus. We differentiate the revenue function with respect to x, set the derivative equal to zero, and solve for x. The resulting value of x will indicate the quantity of computers that maximizes revenue

(C) Once we find the value of x that maximizes revenue, we can substitute it into the price-demand function p(x) = 2,000 - 60x to determine the corresponding wholesale price per computer.

By performing these calculations, we can determine the value of x that maximizes revenue, the corresponding wholesale price per computer, and the maximum revenue achieved, rounded to the nearest thousand dollars.

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Answer: what is a scale factor

Step-by-step explanation:

Answer:

the first one, v < 1 23/25

Step-by-step explanation:

multiply both sides by 6 and divide by 5

v < 48/25, or v < 1 23/25

Answer:

v < 1 23/25

Step-by-step explanation:

5/6 v < 8/5

Multiply each side by 6/5

6/5*5/6 v < 8/5*6/5

v < 48/25

Rewrite as a mixed number

v < 1 23/25

Answer:

(sorry I couldn't do activity 7 it's like midnight here & im tired heh hope you don't mind. ❣️)

1. 3 tsps

2. 128 ounces

3. 0.946

4. 8.82

5. 226.8

6. 3

7. 8

8. 6

9. 5

10. 2

ACTIVITY 6

1. 10

2. 170.6

3. 336.2

4. 193.333

5. 229.444

6. 449.6

7. 15 celsius

8. 210.2

9. 255.2

10. 100

The most appropriate units to describe the cost of the sandbox would indeed be dollars.

When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.

Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.

Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.

Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.

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The Coase theorem is an economic theory that states that in the absence of transaction costs, the allocation of resources and the distribution of wealth will be efficient regardless of how property rights are assigned.

In this context, the theorem reminds us that efficiency is all about maximizing total welfare, rather than focusing solely on the allocation of resources or the distribution of wealth. When transaction costs are low or non-existent, parties can negotiate with each other to reach mutually beneficial agreements that maximize their combined welfare. This means that ownership of property or resources is less important than the ability of parties to freely negotiate with one another.

For example, imagine two neighboring farms: one produces apples and the other produces honey. If the apple farmer's use of pesticides harms the bee population and reduces the honey farmer's production, the honey farmer could demand compensation from the apple farmer. If transaction costs are low, the two farmers could negotiate a solution that is mutually beneficial, such as the apple farmer paying for the honey farmer to relocate their bees to a safer area. In this scenario, the assignment of property rights is not as important as the ability of the two parties to negotiate and reach an agreement that maximizes their total welfare.

Overall, the Coase theorem highlights the importance of considering the broader impacts of economic decisions and recognizing that efficiency depends on maximizing the overall benefits to all parties involved, rather than just focusing on individual outcomes.

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The scale factor was used for each dilation are-

A transformation that changes the size of a figure is called a dilatation. This indicates that the preimage as well as image are similar and have been scaled up or down, respectively.

A dilatation that results in a reduction (imagine shrinking) or an enlargement (think stretching) produces a smaller or larger image, respectively.

Part a: For ΔABC

Length AB = 2 units

Length A'B' = 4 units

A'B' = 2 *AB

Thus,  For ΔABC - scale factor = 2

Part b: For ΔDEF -

Length DF = 2 units

Length D'F' = 1  units

D'F' = 1/2 DF

Thus, For ΔDEF - scale factor = 1/2

Part c: For ΔGHJ -

Length GH = 3 units

Length G'H' = 1  units

G'H' = 1/3 GH

Thus,  For ΔGHJ - scale factor = 1/3

Part d: For ΔKML -

Length KM = 2 units

Length K'M' = 6  units

K'M' = 3*KM

Thus, For ΔKML - scale factor = 3

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the appropriate number, you would need to compare the probabilities P(x=3) and P(x=6) and calculate the ratio between them. The appropriate number will depend on the specific probabilities given in the problem. the probability of x being 3 is 0.4, which is twice as likely as the probability of x being 6 (0.2). Therefore, we can fill in the blank with the number 2.

x is a random variable with pmf for an appropriate constant c. To find the appropriate number, let's consider the ratio of the probabilities of x being 3 and 6.

Let's denote the probability of x being 3 as P(x=3) and the probability of x being 6 as P(x=6).

We are given that x is [blank] times more likely to be 3 than to be 6. This means that the probability of x being 3 is [blank] times greater than the probability of x being 6.

Mathematically, we can express this as:

P(x=3) = [blank] * P(x=6)

To find the appropriate number, let's consider an example. Suppose we have the following probabilities:

P(x=3) = 0.4
P(x=6) = 0.2

In this case, the probability of x being 3 is 0.4, which is twice as likely as the probability of x being 6 (0.2). Therefore, we can fill in the blank with the number 2.

x is 2 times more likely to be 3 than to be 6.

In general, to determine the appropriate number, you would need to compare the probabilities P(x=3) and P(x=6) and calculate the ratio between them. The appropriate number will depend on the specific probabilities given in the problem.

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Answer:

The half-way coordinate between the end points.

Step-by-step explanation:

The half-way coordinate between the end points.

34% of the data in a normal distribution is more than 1 standard deviation above the mean.

In a normal distribution, about 68% of the data falls within one standard deviation above or below the mean. This means that roughly 34% of the data falls one standard deviation above the mean.

To be more precise, we can use the empirical rule or the 68-95-99.7 rule, which states that:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

Therefore, if we assume that the normal distribution is perfectly symmetrical, we can estimate that roughly 34% of the data falls more than one standard deviation above the mean.

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