1. A statistics student wants to compare the mean times needed to access flight information for two major airlines. Twenty randomly selected students accessed one airline's Web site, and the time required to locate the flight information using the Web site had a mean of 2.5 minutes and a standard deviation of 0.8 minute. Twenty different randomly selected students accessed the other airline's Web site, and the time required to locate the flight information using the Web site had a mean of 2.1 minutes and a standard deviation of 1.1 minutes. Assuming that the conditions for inference are met, which of the following statements about the p- value obtained from the data and the conclusion of the significance test is true? a. The p-value is less than 0.01; therefore, there is a significant difference in mean search times on the two Web sites b. The p-value is greater than 0.01 but less than 0.05, therefore, there is a significant difference in mean search times on the two Web sites. c. The p-value is greater than 0.05 but less than 0.10, therefore, there is a significant difference in mean search times on the two Web sites. d. The p-value is greater than 0.10, therefore, there is no significant difference in mean search times on the two Web sites e. Since this is a matched-pairs situation, additional information is needed to perform a test of significance

The shape ABCDE is a regular pentagon with five sides, such that the five sides are congruent

The angle BAE is a vertex angle, and it is calculated using:

BAE = 180 * (n - 2)/n

Where n= 5; i.e. the number of sides.

This gives:

BAE = 180 * (5 - 2)/5

Evaluate

BAE = 108°

Hence, the measure of angle BAE is 108°

When the vertices A and B are joined together, the shape becomes a trapezoid.

Hence, the name of the quadrilateral ABCD is a trapezoid.

See attachment for the new figure.

From the attached figure, we have:

∠EDX + ∠EDC = 180° ---- the sum of angles on a straight line

Where:

∠EDC = ∠BAE = 108°

So, we have:

∠EDX + 108° = 180°

Subtract 108° from both sides

∠EDX = 72°

Hence, the measure of angle EDX is 72 degrees

The quadrilateral BDXE is a parallelogram.

This is so because the opposite sides of BDXE are parallel, but not congruent

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The OLS residuals can be calculated by subtracting the fitted values from the actual values.

OLS residuals, also known as errors, can be calculated by taking the difference between the observed values and the predicted (fitted) values from the regression model.

This calculation provides a measure of the discrepancy between the observed data and the estimated values based on the regression equation. The residuals are important for assessing the goodness of fit of the regression model and for performing diagnostic checks to ensure the model's assumptions are met.

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Answer:

it is 800.00

Step-by-step explanation:

i did this a while ago

The mean is x = 15 and the standard deviation is s = 2.28.

To compute the mean and standard deviation of the given set of data (17, 12, 18, 15, and 13), follow these steps:

a) To find the mean (x), add up all the numbers and divide the sum by the total count.
  (17 + 12 + 18 + 15 + 13) / 5 = 75 / 5 = 15
  Therefore, the mean is 15.

b) To calculate the standard deviation (s), you need to find the deviation of each number from the mean. Square each deviation, find the average of the squared deviations, and then take the square root.

  Deviations from the mean: (17-15), (12-15), (18-15), (15-15), (13-15) = 2, -3, 3, 0, -2
 
  Squared deviations: 2², (-3)², 3², 0², (-2)² = 4, 9, 9, 0, 4
 
  Average of squared deviations: (4 + 9 + 9 + 0 + 4) / 5 = 26 / 5 = 5.2
 
  Square root of the average: √5.2 ≈ 2.28
 
  Therefore, the standard deviation is approximately 2.28 (rounded to two decimal places).

So, the mean of the given set of data is 15, and the standard deviation is approximately 2.28.

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The given equation is a recursive formula where a subscript i equals the product of a subscript i-1 and 2, with the initial value of a subscript 1 being -4a.

The equation represents a recursive relationship between the terms of the sequence. Starting with the initial term, a subscript 1, the subsequent terms are determined by multiplying the previous term, a subscript i-1, by 2. This recursive formula can be written as a subscript i = a subscript i-1 * 2.

Given that a subscript 1 = -4a, we can use this initial value to find the subsequent terms of the sequence. To calculate a subscript 2, we substitute i = 2 into the formula:

a subscript 2 = a subscript 2-1 * 2 = a subscript 1 * 2 = -4a * 2 = -8a.

Similarly, for a subscript 3:

a subscript 3 = a subscript 3-1 * 2 = a subscript 2 * 2 = -8a * 2 = -16a.

By applying the recursive formula repeatedly, we can generate the terms of the sequence. Each term is obtained by multiplying the previous term by 2.

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Solution:

Given the function:

To find f(-1), f(0), and f(5), we substitute the values of -1, 0, 5 respectively into the f(x) function.

Thus, we have

f(-1):

f(0):

f(5):

To find f(x-1), we substitute (x-1) for x into the f(x) function.

Thus,

System of equations can be calculated using substitution method, and several  other ways

The system of equations has infinitely many solutions

The system of equations is given as:

\(8x -2y=18\)

\(y = 4x - 9\)

Substitute 4x - 9 for y in \(8x -2y=18\)

\(8x - 2(4x - 9) = 18\)

Open brackets

\(8x - 8x + 18 = 18\)

Subtract 8x from 8x

\(18 = 18\)

The above equation means that, the system of equations has infinitely many solutions

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Answer:

67.5

Step-by-step explanation:

ok easy it cost $90

90/100=0.9

0.9*25=22.5

90-22.5

67.5

Answer:

39 hours

Step-by-step explanation:

First solve for how much Taylor would earn per hour which is to divide 203.40 by 9

= 203.40÷9 = 22.6

Let x represent the unknown hours

If 22.6 = 1 hr

Then 881.40 = x solving this simultaneously becomes

881.40 ÷ 22.6 = 39

x = 39, hence it'll take Taylor 39 hours to earn $881.40

She have to work 39 hours the next week to earn $881.40.

In simple terms, the unitary method is used to find the value of a single unit from a given multiple. For example, the price of 40 pens is Rs. 400, then how to find the value of one pen here. It can be done using the unitary method. Also, once we have found the value of a single unit, then we can calculate the value of the required units by multiplying the single value unit.

In 9 hours she earned  $203.40

∴ In 1 hour she earned $203.40/9 = $22.6

Let number of hours she worked to earn  $881.40  be x.

∴ x =   $881.40/ $22.6

x = 39 hours

Thus she have to work 39 hours the next week to earn $881.40.

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Then a z-score such that the interval within one standard deviation of the mean contains a 50%  probability is 1.

To find a z-score where an interval within x standard deviations of the mean contains a 50%  probability, you can use the standard normal distribution (also known as the z-distribution).

In a standard normal distribution, the 50%  probability is between -1 standard deviation and +1 standard deviation from the mean. Therefore, a range within one standard deviation contains a 50%  probability.

If you want to obtain a z-score over a range of x standard deviations, you can simply set x  to the desired number of standard deviations. In this case x = 1.

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Answer:

Probability of drawing black card: 1/2

Prob for king: 1/13

Step-by-step explanation:

There are 52 cards in a deck. Half are red and half are black.

To compute the 99% confidence interval for the population mean, you need to determine the appropriate sample size to ensure that the sample mean does not deviate from the population mean by more than 1.3. The key terms involved in this process are the confidence interval, sample size, population mean, and sample mean.

The confidence interval represents the range within which the population parameter (in this case, the population mean) is likely to fall, given a certain level of confidence. A 99% confidence interval means that you are 99% confident that the true population mean falls within the specified range.

To calculate the required sample size, you will need to use the formula for the margin of error (E), which is E = (Zα/2 * σ) / √n, where Zα/2 is the critical value associated with the desired level of confidence (99%), σ is the population standard deviation, and n is the sample size.

Since you want the sample mean to not deviate from the population mean by more than 1.3, you will need to set E = 1.3 and solve for n. After finding the critical value for a 99% confidence interval (which is approximately 2.576) and assuming you know the population standard deviation, you can plug these values into the formula and solve for n.

By doing this, you will be able to determine the appropriate sample size to ensure that the 99% confidence interval for the population mean is within 1.3 units of the sample mean.

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The probability of the restaurant buying at least two non-defective units is 20/27.

The probability of the restaurant buying at least two non-defective units can be calculated using the formula for the probability of a certain number of successes in a certain number of trials. This is given by:

P(X = x) = (nCx) * (p^x) * ((1-p)^(n-x))

Where n is the number of trials, x is the number of successes, p is the probability of success, and nCx is the binomial coefficient.

In this case, n = 3, x = 2, and p = 6/9 = 2/3. So, the probability of the restaurant buying at least two non-defective units is:

P(X ≥ 2) = P(X = 2) + P(X = 3)
= (3C2) * ((2/3)^2) * ((1/3)^1) + (3C3) * ((2/3)^3) * ((1/3)^0)
= (3) * (4/9) * (1/3) + (1) * (8/27) * (1)
= 4/9 + 8/27
= 20/27

Therefore, the likelihood of the restaurant purchasing two or more units that are not defective is 20/ 27.

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The truth value of the ~[P v (Q v R)] >~ (S v P) is true.

Truth-value, in logic, is the degree to which a particular proposition or assertion is true (T or 1) or false (F or 0). Because the truth-value of a compound proposition is a function of, or a quantity depending upon, the truth-values of its component components, logical connectives like disjunction and negation can be conceived of as truth-functions.

Given, ~[P v (Q v R)] >~ (S v P) since P v (Q v R) is true, thus ~ [ P v ( Q v R ) ] is false, therefore the implication is true.

⇒~[T v (F v T)] >~ (F v T)

⇒[F v (F v T)]>(T v T)

⇒[F v (F v T)]>(T v T)

⇒F v T

⇒T

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Sketching the surface of (0)6=z+y on a piece of paper:For the equation (0)6=z+y, since x and y are not present, it means that it is a vertical plane parallel to the x-y plane. To sketch this surface, we need to start by holding one of the values constant, say z. If we let z=0, then we have the equation (0)6 = y. Hence, the line cuts through the y-axis at (0,6).

Similarly, we can let z=1, and the equation becomes (0)6 = y + 1, which we can plot by moving one unit upwards in the y-axis. We can keep repeating this for different values of z to create the entire surface. Therefore, the surface is a sloping plane that starts from the point (0,6,0) and moves upwards and towards the right as z increases. Cross sections with a fixed z give straight lines that are parallel to the x-y plane.

Cross-sections with y fixed give straight lines that intersect the y-axis at (0, 6). Finally, cross-sections with a fixed x give straight lines that intersect the x-axis at (0, 6).

Sketching the surface of (1) 2=3z² on a piece of paper:

Cross-sections with y fixed give straight lines that intersect the y-axis at (0, ±√(2/3)).

Finally, cross-sections with a fixed z give circles with radius equal to √(2/3).

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Answer:

4(x + 3) + 2x and 6(x + 2) are equivalent

Step-by-step explanation:

The best prove why two expressions must be equivalent is,

1. Simplify each expression to its simplest form

2. Show that the simplest form of them are equal

Let us do that with the given expressions

∵ The 1st expression is 4(x + 3) + 2x

→ At first, multiply the bracket (x + 3) by 4

∵ 4(x + 3) = 4(x) + 4(3) = 4x + 12

∴ The 1st expression = 4x + 12 + 2x

→ Add the like terms

∴ 4x + 12 + 2x = (4x + 2x) + 12 = 6x + 12

∴ The 1st expression = 6x + 12

∴ The simplest form of the 1st expression is 6x + 12

∵ The 2nd expression is 6(x + 2)

→ Multiply the bracket (x + 2) by 6

∵ 6(x + 2) = 6(x) + 6(2) = 6x + 12

∴ The 2nd expression = 6x + 12

∴ The simplest form of the 2nd expression is 6x + 12

∵ 6x + 12 = 6x + 12

∴ The simplest form of the two expressions are equal

∴ The expressions are equivalent

∴ 4(x + 3) + 2x and 6(x + 2) are equivalent

Answer: 3x^2 − 7x − 6

The cost of each table is $110.

Given:

Total Amount spent = $900

Cost of bookshelf = $50

By dividing the entire amount paid by 70%, you may calculate the cost of the chair and desk.

Cost of chair and desk = 900 x 0.70 = $60

Now, subtract that cost from the total amount spent:

900 - 630 = $270 was spent on the rest three items.

Next, subtract the cost of the bookshelf:

270 - 50 = $220

The cost of two tables is $220.

So, the price of one table can be calculated by dividing this cost by 2:

220/2 = $110

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Answer:

SAA

Step-by-step explanation:

there is a side, and vertical angles equal eachother so it would be SAA

The ordered pair (2,3) is not a solution of the system

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

−8x + 4y > 3

6x - 7y < −5

The solution is given as

(2, 3)

Next, we test this value on the system

So, we have

−8(2) + 4(3) > 3

-4 > 3 --- false

This means that (2,3) is not a solution of the system

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a. The mean and standard deviation of the sampling distribution of the difference in sample means xF - xM are 1.5 and 1.65 minutes.

b. The probability of getting a difference in sample means xF - xM that is less than 0 is approximately 0.20

What is Probability?

Probability is a field of mathematics that calculates the likelihood of an experiment occurring. We can know everything from the chance of getting heads or tails in a coin to the possibility of inaccuracy in study by using probability.

a. The mean of the sampling distribution of the difference in sample means, xF - xM, is equal to the difference of the population means, μF - μM = 8.8 - 7.3 = 1.5 minutes.

where σF and σM are the standard deviations of the populations of female and male students, respectively, and nF and nM are the sample sizes of female and male students, respectively.

\(Standard\ Deviation = \sqrt{3.3^2/8 + 2.9^2/8} \\\\Standard\ Deviation = \sqrt{{2.75} }\\\\Standard\ Deviation = 1.65\ minutes\)

So, the mean and standard deviation of the sampling distribution of the difference in sample means xF - xM are 1.5 and 1.65 minutes, respectively.

b. The probability of getting a difference in sample means xF - xM that is less than 0 can be found using a standard normal distribution table. First, we need to standardize the difference in sample means xF - xM by subtracting the mean and dividing by the standard deviation:

z = (xF - xM - (μF - μM)) / standard deviation

z = (0 - 1.5) / 1.65 = -0.91

Looking up -0.91 in a standard normal distribution table, we find that the probability of getting a difference in sample means xF - xM that is less than 0 is approximately 0.20.

So, there is a 20% probability of getting a difference in sample means xF - xM that is less than 0.

Hence, The mean and standard deviation of the sampling distribution of the difference in sample means xF - xM are 1.5 and 1.65 minutes and probability of getting a difference in sample means xF - xM that is less than 0 is approximately 0.20.

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Answer:

monomial

Step-by-step explanation:

A monomial is a number, a variable, or a product of numbers and variables with whole number exponents. The degree of a monomial is the sum of the exponents of the variables. A constant has degree 0.

pls mark as brainliest

Answer:

b,c

Step-by-step explanation:

hello, the answer to this is / and ----- or b and c I got this right on my test :)

The probability that the sample mean would be less than 31,358 miles in a sample of 242 tires if the manager is correct is 0.9925 (or 99.25%).

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

We can use the central limit theorem to approximate the distribution of the sample mean. According to the central limit theorem, if the sample size is sufficiently large, the distribution of the sample mean will be approximately normal with a mean of 30,641 and a standard deviation of sqrt(variance/sample size).

So, we have:

mean = 30,641

variance = 14,561,860

sample size = 242

standard deviation = sqrt(variance/sample size) = sqrt(14,561,860/242) = 635.14

Now, we need to calculate the z-score corresponding to a sample mean of 31,358 miles:

z = (sample mean - population mean) / (standard deviation / sqrt(sample size))

= (31,358 - 30,641) / (635.14 / sqrt(242))

= 2.43

Using a standard normal distribution table or calculator, we can find the probability that a z-score is less than 2.43. The probability is approximately 0.9925.

Therefore, the probability that the sample mean would be less than 31,358 miles in a sample of 242 tires if the manager is correct is 0.9925 (or 99.25%).

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Answer:

Hello ♡

The answer to your question is 7.3333333333 .

Step-by-step explanation:

Hope this helps u ;)

Answer:

Step-by-step explanation:

\(a_1=2\,,\quad a_4=14\\\\a_n=a_1+d(n-1)\\\\a_4=a_1+d(4-1)\\\\14=2+3d\\\\12=3d\\\\d=4\)

Answer:

The cubed root of a number is the number that, when multiplied by itself three times (number x number x number), gives the original number. For example, the cubed root of 27 is 3, as 3 x 3 x 3 = 27. The cubed root of 125 is 5, as 5 x 5 x 5 = 125. Unlike the square root, the cubed root is always positive

Step-by-step explanation:

The answer of the given question based on the  exponential function is the exponential function that goes through the points (0,4) and (4,0.25) is: f(x) = 4(0.5)ˣ.

An equation is a statement that two expressions are equal. It contains an equal sign (=) which separates the two expressions, and it can include variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots.

The general form of exponential function is:

f(x) = a(b)ˣ

where a is the initial value, b is the base, and x is the independent variable.

We can use the two given points to form a system of equations and solve for the values of a and b.

Using the point (0,4):

f(0) = a(b)⁰ = a = 4

Using the point (4,0.25):

f(4) = a(b)⁴ = 0.25

Now we can substitute a = 4 into the second equation and solve for b:

4(b)⁴ = 0.25

(b)⁴ = 0.25/4 = 1/16

b = (1/16)⁽¹/⁴⁾ = 0.5

Therefore, the exponential function that goes through the points (0,4) and (4,0.25) is: f(x) = 4(0.5)ˣ

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Variability refers to the spread or dispersion of the data points in a dot plot. The greater the variability, the wider the spread of the data points.

Here is the list of the four dot plots in order of variability from least to greatest:

1. Dot Plot A: This plot has the least variability, meaning the data points are closely clustered together. The range of the data is small, indicating a low spread.

2. Dot Plot B: This plot has slightly more variability than Dot Plot A. The data points are still relatively close, but the range is slightly wider.

3. Dot Plot C: This plot has a higher variability compared to Dot Plots A and B. The data points are spread out more, indicating a wider range.

4. Dot Plot D: This plot has the greatest variability among the four. The data points are widely dispersed, indicating a large range.

Remember, when comparing dot plots, it is important to consider the range and spread of the data points to determine the order of variability from least to greatest.

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