A researcher was interested in studying americans email habits. She suspected that americans spend less than 7 hours a week answering their email. The general social survey in 2004 included a question that asked about the number of hours that the respondent spend on email per week. They asked 617 respondents. The sample mean number of hours was 6. 01 and the sample standard deviation was 8. 96. Find the test statistic.

Answer:

b 2

Step-by-step explanation:

x is an integer that is greater than 3 and less than or equal to 6.

x can be 4, 5, 6.

Answer: b 2

Answer:

lol i don't like bullies either

i mean...i say that now...but in first grade i used to be a bully....we don't talk about that tho

anyways have a nice day and show them bullies who's boss

Exactly no one likes bullies :)

Answer:

0.45

Explanation:

Probability of bad motherboard(MB) = 0.30

Probability of bad hard-drive(H) = 0.40

Probability of bad motherboard and hard-drive (MB and H) = 0.15

P(MB U H)= P(MB) + P(H) -P(MB and H)

=0.30+0.40-0.15=0.55

Probability that a 5 year old computer would have no problems of motherboard and hard-drive =

1-P(MB U H) = 1-0.55= 0.45

The evaluation of the fraction, \(\dfrac{x^3-5\cdot x^2+ 2\cdot x-6}{x - 1}\), using the long division method is the option;

The expression can be presented as follows;

\(\dfrac{x^3-5\cdot x^2+ 2\cdot x-6}{x - 1}\)

The numerator x³ - 5·x² + 2·x - 6  does not have (x - 1) as a factor
However, dividing x³ - 5·x² + 2·x - 6 by (x - 1), gives;

        x² - 4·x -2

(x - 1)|x³ - 5·x² + 2·x - 6

  \({}\)      x³ - x²

\({}\)             -4·x² + 2·x - 6

\({}\)             -4·x² + 4·x

\({}\)                        -2·x - 6

\({}\)                      -2·x  + 2

\({}\)                                 -8

The quotient from the division is x² -4·x  -2, the remainder is -8, therefore, the result from the division x³ - 5·x² + 2·x - 6 by (x - 1) is the option;

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Answer:

70 degrees

Step-by-step explanation:

180-110= 70

Answer:

70 degrees

Step-by-step explanation:

total of any supplementary angle is always 180 degrees 180 minus 110 then it is 70 degrees.

Answer: thats a tuff one

Step-by-step explanation:

im not sure

The answer is D 8g to the power of 6 h to the power of 4 k to the power of 12-h to the power of 25 k to the power of 15

the expression \(10x^2 - 14x^3 + 18x^4 as 18x^2(x - 5/18)(x - 2/3).\)\(10x^2 - 14x^3 + 18x^4\) To factorise the expression we can first factor out the common factor of \(2x^\\2\):

\(2x^2(5 - 7x + 9x^2)\)

Now, we need to factorise the quadratic expression in parentheses, \(5 - 7x + 9x^2.\) We can use the quadratic formula to find the roots of this expression:

\(x = (-(-7) ± sqrt((-7)^2 - 4(5)(9)))/(2(9))\)

\(x = (7 ± sqrt(169))/18\)

\(x = (7 ± 13)/18\)

Therefore, the roots are x = 5/18 and x = 2/3.

We can use these roots to factorise the quadratic expression as follows:

5 - 7x + 9x{power}2 = 9(x - 5/18)(x - 2/3)

Substituting this into our original expression, we get:

\(10x^2 - 14x^3 + 18x^4 = 2x^2(5 - 7x + 9x^2)\)

=\(2x^2(9)(x - 5/18)(x - 2/3)\)

= \(18x^2(x - 5/18)(x - 2/3)\)

Therefore, we have successfully factorised the expression\(10x^2 - 14x^3 + 18x^4 as 18x^2(x - 5/18)(x - 2/3).\)

Factorising expressions is an important skill in algebra and can be useful in solving equations and simplifying complex expressions. In this case, we used the method of factoring by grouping and the quadratic formula to factorise the expression into a product of simpler expressions.

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Answer:

-5x

Step-by-step explanation:

Remember, if you multiply a negative number by a negative number, you will get a positive number, and positive numbers are greater than negative numbers. In this case, if I were to multiply each of these expressions with -1, I would get the following:

7(-1)+4=-3

-1-4=-5

5(-1)=-5

-5(-1)=5

And I'm sure you can imply how these values will correspond to other negative values. Basically, the last expression gives us a positive answer, which is larger than the others (which give a negative answer).

-5x will be the largest among the options since x is the negative integer.

On the number line, a negative integer is an integer that is to the left of zero. It is not equal to zero.

Given, x is a negative integer, all given options will become negative except " -5x".  written with a minus sign. a number smaller than zero, but not a fraction or a decimal fraction.

Since for any value of x, all the given options will be negative.

Therefore, Due to the fact that x is a negative integer, -5x will be the largest selection.

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There is a strong negative linear relationship between x and y, and almost all of the variation in y can be explained by the variation in x.

The correlation coefficient is -0.961 and the proportion of the variation in y that can be explained by the variation in the values of x is 92.3%.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, the correlation coefficient between x and y is -0.961, which indicates a strong negative linear relationship between the two variables.

The coefficient of determination (r²) measures the proportion of the variation in y that can be explained by the variation in the values of x. In this case, the value of r² is 0.923, or 92.3%. This means that 92.3% of the variability in y can be explained by the variability in x. Therefore, there is a strong negative linear relationship between x and y, and almost all of the variation in y can be explained by the variation in x.

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By using the Basu's theorem  and from parts (a) and (b), we conclude that P and T are independent.

Basu's theorem states that if a complete sufficient statistic T and an ancillary statistic S are independent, then any statistic U that is a function of T and S is independent of any unbiased estimator of a function of θ.

Using Basu's theorem, we need to show that Σ(Xi – X)^2 is ancillary and independent of the mean ξ and variance σ^2. Since X follows a normal distribution, we know that the sum of squares of deviations from the mean (Σ(Xi – X)^2) follows a chi-square distribution with n degrees of freedom, where n is the sample size.

Since the chi-square distribution only depends on the sample size and is independent of the mean and variance of X, we conclude that Σ(Xi – X)^2 is ancillary and independent of ξ and σ^2. Therefore, using Basu's theorem, we conclude that X and Σ(Xi – X)^2 are independent.

In problem 6.18, we have shown that X(1) follows an exponential distribution with parameter λ = 1/θ, where θ is the common distribution of the X's. Therefore, X(1) is complete and unbiased for θ. Using the result from problem 6.17(e), we know that Σ[Xi – X(1)] follows a gamma distribution with parameters n – 1 and 1/θ. Therefore, Σ[Xi – X(1)] is ancillary and independent of θ. Using Basu's theorem, we conclude that X(1) and Σ[Xi – X(1)] are independent.

Using the hint provided in the problem, we can rewrite Σ[Xi – X(1)] as b times the sum of n – 1 independent exponential random variables with mean a/(n – 1). Therefore, Σ[Xi – X(1)] follows a gamma distribution with parameters n – 1 and a/(n – 1), which is equivalent to a gamma distribution with parameters n – 2 and b = 1/(a/(n – 1)).

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Answer:

112.5°

in pretty sure that's the answer

Answer:

4. rise

match the following definition with the correct term:

the vertical distance between two points on a line

1. run

2. rate of run

3. slope

4. rise

Answer:

C

Step-by-step explanation:

d / rate = time

d / 90  + d/60  = 6 hours

(2d+ 3d)/180 = 6

5d = 1080

d = 216 miles

The distance from NYC to Boston is 216 miles.

We have a guy named Steve travels from NYC to Boston at 90 mph and returns to NYC at 60 mph taking 6 hours total for the round-trip without stopping.

We have to determine distance between NYC and Boston.

The distance covered by the body will be -

d = v x t

According to question, we have -

Assume that the distance travelled by Steve from NYC to Boston be x.

Then, total distance covered for the round trip = 2x.

From NYC to Boston -

Suppose that in going from NYC to Boston, Steve takes t hours. Then

x =  90 x t            (1)

From Boston to NYC -

Steve will take (6 - t) hours to travel the distance. Then -

x = 60 x (6 - t)         (2)

Now, Equating the equations (1) and (2), we get -

90 x t = 60 x (6 - t)

1.5t = 6 - t

1.5t + t = 6

2.5 t = 6

t = \(\frac{12}{5}\) = 2.4 hours

Therefore -

x = 90 x 2.4 = 216 miles

Hence, the distance from NYC to Boston is 216 miles.

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Answer: 2x + 4

Step-by-step explanation:

Answer:

4 + 2x

Step-by-step explanation:

Let x be the number:

I hope this helps!

\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 4700\\ P=\textit{original amount deposited}\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &11 \end{cases} \\\\\\ 4700=Pe^{0.04\cdot 11} \implies 4700=Pe^{0.44}\implies \cfrac{4700}{e^{0.44}}=P\implies 3027\approx P\)

Answer:

He will have to pay  $35.04

Step-by-step explanation:

4.99 x 5 = 24.95

59.99 - 24.95 = 35.04

Answer: She should have multiply each of the sides the scale value before multiplying to find the area.

Step-by-step explanation:

They are two sides to the triangle which is the base and the height  and each side have a different length so you will have to first multiply each side length by the scale value to find the new length of the enlarged triangle.

base:  4 *5 = 20

height :  3.5 * 5 = 17.5

Now since the base is 20 cm and the height is 17.5 cm you will use the area of a triangle formula to solve for the area.

A = 1/2* b * h

A = 1/2 * 20 * 17.5

A =  10* 17.5

A = 175  

or she could have multiply 35 which is the number he obtained by another 5 to find the area.

Answer:

c i think not sure sorry

Step-by-step explanation:

Answer:

\(k=7; k=13\)

Fast and loose:

If you stare at it for a while, you can see that the LHS is the distance between k and 10. Basically, you've asked to pick k so you get two numbers that are 3 apart from 10. And these two numbers are 7 to the left, and 13 to the right.

Rigorously

Split it in 2 situations, depending if the quantity inside the absolute value is greater or smaller than zero.

If it's greater or equal than zero:

\(\left \{ {{k-10\geq 0 } \atop {k-10 = 3} \right. \\\left \{ {{k\geq 10 } \atop {k = 13} \right.\)

And since 13 is indeed greater than 10, it's a valid solution, so you get the first one. For the second, you assume negative values for the quantity inside, and change sign:

\(\left \{ {{k-10 < 0 } \atop {k-10 = -3} \right. \\\left \{ {{k < 10 } \atop {k= 7} \right.\)

In this case, 7 is a valid solution too since it's less than 10

The given statement " the p-value for a Coefficient helps determine if it is statistically significant" is true. In statistical analysis, p-values are used to test the null hypothesis, which typically states that there is no significant relationship between the variables being analyzed.

A low p-value (usually below a predetermined significance level, such as 0.05) suggests that the null hypothesis can be rejected, indicating that there is a statistically significant relationship between the variables.

In the context of regression analysis, the p-value for a coefficient represents the probability of observing the obtained coefficient, or a more extreme one, under the assumption that the null hypothesis is true. If the p-value for a coefficient is low, it suggests that the corresponding independent variable is significantly related to the dependent variable. This means that the variable has an impact on the outcome and is not due to random chance.

To summarize, the p-value for a coefficient helps determine if it is statistically significant. A low p-value indicates that the null hypothesis can be rejected, suggesting a significant relationship between the variables. In regression analysis, a low p-value for a coefficient implies that the corresponding independent variable has a significant impact on the dependent variable.

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a) The high temperature for today using a 3-day moving average = 92.7 degrees.

b) The high temperature for today using a 2-day moving average = 91.5 degrees.

c) The mean absolute deviation based on a 2-day moving average = 1.5 degrees.

d) The mean squared error for the 2-day moving average = 2.25 degrees².

e) The mean absolute percent error (MAPE) for the 2-day moving average = 2.9%.

To calculate the high temperature for today using a 3-day moving average, we sum the high temperatures of the last three days (90, 93, and 95), and then divide the sum by 3. This gives us an average of 92.7 degrees, rounded to one decimal place.

For a 2-day moving average, we sum the high temperatures of the last two days (90 and 93), and divide the sum by 2. This gives us an average of 91.5 degrees, rounded to one decimal place.

To calculate the mean absolute deviation based on a 2-day moving average, we first find the absolute difference between each high temperature and the 2-day moving average (91.5 degrees). The differences are 1.5, 1.5, 1.5, 2.5, 3.5, and 1.5. Then, we calculate the average of these differences, which is 1.5 degrees, rounded to one decimal place.

The mean squared error for the 2-day moving average is calculated by squaring the differences between each high temperature and the 2-day moving average (91.5 degrees), and then finding the average of these squared differences. In this case, the squared differences are 2.25, 2.25, 2.25, 6.25, 12.25, and 2.25. The average of these squared differences is 4.83 degrees^2, rounded to one decimal place.

The mean absolute percent error (MAPE) for the 2-day moving average is calculated by finding the absolute difference between each high temperature and the 2-day moving average (91.5 degrees), dividing this difference by the high temperature, and then finding the average of these percentages. The percentages are 1.6%, 1.6%, 1.6%, 2.6%, 3.7%, and 1.6%. The average of these percentages is 2.9%, rounded to one decimal place.

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The value of c in the angles (-2c+86)° and (-4c+103)° is 5

The sum of angle at a point is 360°. Angles around a point describes the sum of angles that can be arranged together so that they form a full turn. Angles around a point add to 360 °.

In the diagram the three angles are at a point. This means their sum is 360°. angle EHG = 201. therefore;

201+ (-4c+103)° + (-2c+86)° = 360°

= 201-4c+103-2c+86 = 360

= 390-6c = 360

- 6c = 369-390

-6c = -30

divide both sides by -6

c = 30/6 = 5

therefore the value of c = 5

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Based on the given data, the box plot that best models the resting heart rates of Ms. Gregson’s students would have a box that extends from approximately 67 to 82, with a median line at around 77.

The whiskers would extend from the edges of the box to the minimum and maximum values of the data set, which are 65 and 85, respectively.

The box plot is a useful tool for visualizing numerical data, particularly in comparing distributions between different groups or conditions. The box represents the interquartile range (IQR), which is the middle 50% of the data, with the median line indicating the center of the data.

The whiskers extend to the smallest and largest data points within a certain range (usually 1.5 times the IQR), with any outliers shown as individual points. Box plots are especially useful for identifying skewness, outliers, and differences between groups in a data set.

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Answer:

NO.2- SSA is not the method to show the congruency of two triangles.

Answer:

x= 2/5

Step-by-step explanation:

multiplying by a reciprocal gives you 1

K-Means uses Euclidean distance. The output includes average and maximum distances, separation, and convergence after iterations related to the number of starting seeds.

In the output of a K-Means cluster analysis, "Ave Distance" refers to the average distance between the data points and their assigned cluster centroids.

"Max Distance" represents the maximum distance between any data point and its assigned centroid. "Separation" indicates the distance between the centroids of different clusters, reflecting how well-separated the clusters are.

Convergence in K-Means clustering refers to the point when the algorithm reaches stability and the cluster assignments no longer change significantly.

When the video mentions convergence after 4 iterations, it means that after four rounds of updating cluster assignments and re-computing centroids, the algorithm has achieved a stable result.

The "Number of starting seeds" option determines how many initial random seeds are used for the algorithm, and it can affect the number of iterations needed for convergence. Increasing the number of starting seeds may result in faster convergence as it explores different initial configurations.

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Answer:

x = 19.

Step-by-step explanation:

By the tangent - secant theorem:

BD^2 = AB * EB

so:

8^2 = (x - 7 + 4) * 4

4(x - 3) = 64

4x - 12 = 64

4x = 64 + 12 = 76

x = 76/4

= 19.

The equation you would use to properly calculate the dollar cost of entering the park and enjoying rides is Total Cost = Entrance Fee + (Number of Rides x Ride Fee).

In this case, Total Cost is the cost of entering the park and enjoying rides, Entrance Fee is the fee for entering the park, Number of Rides is the number of rides you will be taking, and Ride Fee is the fee charged for each ride.

Thus, plugging in the given values, the equation becomes  Total Cost = Entrance Fee + (Number of Rides x Ride Fee).

Therefore, if the Entrance Fee is $ and each ride costs an additional $ , the Total Cost of entering the park and enjoying rides is $ .

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The probability of getting all tails when flipping a coin three times can be calculated using the multiplication rule of probability. For each flip of the coin, there are two possible outcomes: heads or tails.

Assuming the coin is fair, both outcomes are equally likely, so the probability of getting tails on any one flip is 1/2.

P(all tails) = P(tails on first flip) x P(tails on second flip) x P(tails on third flip)

= (1/2) x (1/2) x (1/2)

= 1/8

Therefore, the probability of getting all tails when flipping a coin three times is 1/8 or 0.125 when expressed as a decimal rounded to four decimal places.

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