Find the median of the following data. 2 8 7 8 6 15 6 8 3.




Please help me out.

Answer:

We have the coordinates of vertex T after the translation as (-5,0)

Step-by-step explanation:

Firstly, we get the coordinates of vertex T

we have this as;

(-2,-2)

Translating to the left means we are going to subtract the specific units from the x-coordinate

2 units up means we are going to add to the y-coordinate value

So, we have it that;

(-2-3, -2+ 2) = (-5,0)

A confidence interval is constructed to estimate the value of a parameter.

In statistics, a parameter refers to a numerical characteristic of a population, such as the population mean or population proportion. When we want to estimate the value of a parameter, we construct a confidence interval.

A confidence interval provides a range of values within which we believe the true parameter value is likely to fall, based on our sample data. It is constructed using sample statistics and takes into account the variability and uncertainty in the estimation process.

A confidence interval is constructed to estimate the value of a parameter, not a statistic.

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Answer:

1

Step-by-step explanation:

↪18cm

5^2 + 17^2 = a^2

25 + 289 = a^2

314 = a

√(314) = a

17 . 72 = a

The measure of hypotenuse is 17.72cm

it is equal to 18cm

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To calculate the degrees of freedom for a small-sample test of hypothesis, we use the formula:

df = (n1 - 1) + (n2 - 1)

Given that n1 = n2 = 16, we can substitute these values into the formula:

df = (16 - 1) + (16 - 1)

= 15 + 15

= 30

Therefore, the degrees of freedom associated with the small-sample test of hypothesis is 30. So, the correct option is D.

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Answer: 47/30

Step-by-step explanation:

1) Find the common denominator

2/3 + 9/10

10/10 * 2/3 + 9/10 * 3/3

2) Add the numerator

20/30 + 27/30

47/30

Based on the question, the volume of the cylinder is approximately 56,520 cubic meters.

The formula for the volume of a cylinder is seen as:

V = πr²h

where

V  = volume

r =  radius of the base

h = height of the cylinder.

Then by Substituting the given values, we will have:

V = π(10m)²(18m)

= π(100m²)(18m)

= 18000π cubic meters

To be able to  find the value to the nearest tenths place, we need to use π ≈ 3.14. hence:

V ≈ 18000 × 3.14

= 56520 cubic meters

Therefore, the volume of the cylinder is about 56,520 cubic meters to the nearest tenths place.

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On solving the equation Ý = 140 + (-0.0667)X, the value for blood pressure is obtained as 129.328 mm Hg.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The equation is given as Ý = 140 + (-0.0667)X.

An amount of medication of 160 mg is found to result in a blood pressure of 127.74 mm Hg.

Here the value of X is X = 160.

The predicted blood pressure will be -

Ý = 140 + (-0.0667)160

Ý = 140 - 10.672

Ý = 129.328

The predicted blood pressure value is 129.328 mm Hg.

Here the predicted blood pressure value 129.328 mm Hg is greater than the actual blood pressure value 127.74 mm Hg.

Therefore, the observed value will be below the regression line.

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Answer:

0.045, 0.405, 0.45, 4.05, 4.5

Step-by-step explanation:

So, we have 0.045 before 0.405 because the second number (0) in the first one is lower than the second number (4) in the second one. We have 0.405 before 0.45 because the third numbers don't match up. The lower one is 0, while the higher one is 5. Next, 4.05 is smaller than 4.5 because of the second number. The second number in the smaller one is 0, while the bigger one, its second number is 4.5.

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The equation that illustrates the identity property of multiplication is (a + bi) × 1 \(=\) (a \(+\) bi) , the correct option is (d) .

In the question ,

Four equations are given , we need to find the equation that represents the identity property of multiplication .

we know that the identity property of multiplication states that the product of any number and 1 is the same given number .

For Example : the product of a number 'a' and 1 is = a , that is a×1 = a .

So , by the applying the definition of Identity property of multiplication we get that the equation that models the identity property is

(a + bi) × 1 \(=\) (a \(+\) bi)

Therefore , The equation that illustrates the identity property of multiplication is (a + bi) × 1 \(=\) (a \(+\) bi) , the correct option is (d) .

The given question is incomplete , the complete question is

Which equation illustrates the identity property of multiplication?

(a) (a + bi) × c = (ac + bci)

(b) (a + bi) × 0 = 0

(c) (a + bi) × (c + di) = (c + di) × (a + bi)

(d) (a + bi) × 1 = (a + bi)

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Answer:

12x-2< 24

Step-by-step explanation:

Answer:

5 is 0 sky fifty drunk guru BFT JYYYGYYT huh

Step-by-step explanation:

no

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

The poster is 11 inches wide and 19 inches in height.

Step-by-step explanation:

We take the given equation: (x^2+2x-15) and we add in 14 as our x variable:

((14)^2+2(14)-15) the answer we get from that is 209. The area of the poster is 209 square inches. Then we find the width by taking (x-3) in this case x is 14 so the width of the poster is 11. In order to find the height we divide the height by the width and we get 19.

Therefore:

Height= 19 Inches

Width= 11 Inches

Total Area= 209 Square Inches

The Answers are given below:

A variable is an alphabet that an be assigned a number and the number is not fixed.

A variable can be stable (independent) or unstable (dependent) variable.

In conclusion, the list above is the answers for each question given.

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Answer:

30.8

Step-by-step explanation:

We can mutiply 246 by 0.125 to get the answer.

246 * 0.125 = 30.75 = 30.8

Answer:

30.8 megabytes

Step-by-step explanation:

We know that 12.5% of the 246 megabytes have been downloaded.

Of, means multiply. Therefore, we must multiply 12.5% and 246.

12.5%*246

Convert 12.5% to a decimal. Divide 12.5 by 100, or move the decimal place two spots to the left.

12.5/100=0.125

12.5–> 1.25 —> 0.125

0.125*246

Multiply

30.75

We need to round to the nearest tenth. The 5 in the hundredth place indicates that we must round the 7 in the tenth place up to a 8.

30.8

30.8 megabytes have been downloaded.

Step-by-step explanation:

\(A\)- all of the chosen balls are white \(E_{i}-\) result of the die roll is \(i, \quad i \in\{1,2,3,4,5,6\}\)

Probabilities:

since the die is fair:

\( P\left(E_{i}\right)=\frac{1}{6} \quad \text { for } \quad i \in\{1,2,3,4,5,6\} \)

If the die rolls \(i\) we choose a combination of \(i\) balls, among 10 black and five white balls, therefore

\[ \begin{array}{c}

P\left(A \mid E_{1}\right)=\frac{\left(\begin{array}{c} 5 \\

1 \end{array}\right)}{\left(\begin{array}{c} 15 \\ 1 \end{array}\right)}=\frac{5}{15}=\frac{1}{3} \\ P\left(A \mid E_{2}\right)=\frac{\left(\begin{array}{c} 5 \\ 2 \end{array}\right)}{\left(\begin{array}{c} 15 \\ 2

\end{array}\right)}=\frac{10}{105}=\frac{2}{21} \\

P\left(A \mid E_{3}\right)=\frac{\left(\begin{array}{c} 5 \\ 3

\end{array}\right)}{\left(\begin{array}{c} 15 \\ 3

\end{array}\right)}=\frac{10}{455}=\frac{2}{91} \\

P\left(A \mid E_{4}\right)=\frac{\left(\begin{array}{c} 5 \\ 4

\end{array}\right)}{\left(\begin{array}{c} 15 \\ 4

\end{array}\right)}=\frac{1}{273} \\

P\left(A \mid E_{5}\right)=\frac{\left(\begin{array}{c} 5 \\ 5

\end{array}\right)}{\left(\begin{array}{c} 15 \\ 5

\end{array}\right)}=\frac{1}{3003} \\

P\left(A \mid E_{6}\right)=\frac{\left(\begin{array}{c} 5 \\ 6

\end{array}\right)}{\left(\begin{array}{c} 15 \\ 6

\end{array}\right)}=0

\end{array} \]

The price of one adult ticket is $15, and the price of one child ticket is $10.

To determine the price of one adult ticket and one child ticket, we can set up a system of equations based on the given information.

Let's denote the price of one adult ticket as "a" and the price of one child ticket as "c."

From the first day of ticket sales, we know that 11 adult tickets and 12 child tickets were sold, totaling $225. This gives us the equation:

11a + 12c = 225 ...(Equation 1)

From the second day of ticket sales, we know that 12 adult tickets and 1 child ticket were sold, totaling $185. This gives us the equation:

12a + 1c = 185 ...(Equation 2)

We now have a system of two equations with two variables. To solve this system, we can use substitution or elimination methods.

Let's solve it using the elimination method. We can multiply Equation 2 by 12 and Equation 1 by 1 to make the coefficients of "a" in both equations the same:

12(12a + 1c) = 12(185)

11(11a + 12c) = 11(225)

Simplifying these equations, we get:

144a + 12c = 2220

121a + 132c = 2475

Now, subtracting the second equation from the first equation, we eliminate "a" and solve for "c":

144a - 121a + 12c - 132c = 2220 - 2475

23a - 120c = -255

Simplifying further, we have:

23a - 120c = -255 ...(Equation 3)

Now, we can substitute the value of "a" from Equation 3 into Equation 1 or Equation 2 to solve for "c."

Let's substitute the value of "a" from Equation 3 into Equation 1:

23a = -255 + 120c

23(-255 + 120c) = -255 + 120c

Simplifying, we find:

-5865 + 2760c = -255 + 120c

2640c = 5610

c = 5610/2640

c ≈ 2.12

So, the price of one child ticket is approximately $2.12.

Now, we can substitute this value of "c" into Equation 1 to solve for "a":

11a + 12(2.12) = 225

11a + 25.44 = 225

11a = 225 - 25.44

11a ≈ 199.56

a ≈ 199.56/11

a ≈ 18.14

So, the price of one adult ticket is approximately $18.14.

Therefore, the price of one adult ticket is $18.14, and the price of one child ticket is $2.12.

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Q.2: A review of the t-test on the significance of individual independent variable suggests that, based on the p-values. None of the independent variables could be retained. This is because if the p-value is high, it means the significance is low.

Q3: Choose the right option below. Based on the full regression model involving all of the independent variables. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885.

Q.4: Based on VIF values, there is concern for collinearity in this dataset. True

Q5: Based on the normal probability plot, the normality assumption seems to be met. True

Q7: Based on conducting residual analysis the model seems. Adequate.

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Answer:

y=3x

Step-by-step explanation:

a. The experimental probability of spinning a 5 was approximately 10% more than theoretically expected.

In terms of the experimental and theoretical probabilities of spinning a 5, the observed data indicates that the experimental probability was approximately 10% higher than the theoretical probability.

The theoretical probability of spinning a 5 on a spinner with 6 equal sections is 1/6 or approximately 0.1667.

Therefore, in 29 spins, the expected frequency of spinning a 5 would be 4.8353 (rounded to four decimal places).

However, the observed frequency from the data suggests that the number of times a 5 was spun was around 10% higher than the expected frequency.

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The simplified expression is 25/9x².

The number of times a number is multiplied by itself is known as an exponent.

Use the fact that (a/b)⁻ⁿ = (b/a)ⁿ to simplify the expression:

(x 3/5)⁻²

= (3x/5)⁻²

= (5/3x)²

= 25/9x²

Hence, the simplified expression is 25/9x².

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By using the concept of Depreciation, it is obtained that

Warrem's body  metabolize half of the 84 mg of caffeine in 4.71 hours

What is Depreciation?

Depreciation is the reduction in the value of a product at a certain rate over a certain period of time.

Here the concept of Depreciation has been used

Let the time taken to metabolize half of the 84 mg of caffeine be t hours

Damien's body metabolizes caffeine at a rate of 13.7% per hour

By the problem,

\(84(1 - \frac{13.7}{100})^t = 42\\\\(1 - \frac{13.7}{100})^t = \frac{42}{84}\\\\(1 - \frac{13.7}{100})^t = \frac{1}{2}\\\\(\frac{100 -13.7}{100})^t = \frac{1}{2}\\\\(\frac{86.3}{100})^t = \frac{1}{2}\\\\(\frac{863}{1000})^t = \frac{1}{2}\\\\t(ln(\frac{863}{1000}) = -0.693\\\\-0.147t = -0.693\\\\t = \frac{0.693}{0.147}\\\\t = 4.71 \ hours\)

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Answer:

Step-by-step explanation:

Answer:

274 square units

Step-by-step explanation:

Surface Area of the prism

Here :

Solving

Answer:

\(274\ units^2\)

Step-by-step explanation:

Step 1:  Determine the area of top and bottom

\(A = l * w\)

\(A = 13\ units * 4\ units\)

\(A = 52\ units^2\)

Top and bottom gives us (52 units^2 * 2) = 104 units^2

Step 2:  Determine the area of the sides

\(A = l * w\)

\(A = 4\ units * 5\ units\)

\(A = 20\ units^2\)

Sides gives us (20 units^2 * 2) = 40 units^2

Step 3:  Determine the area of the front and back

\(A = l * w\)

\(A = 13\ units * 5\ units\)

\(A = 65\ units^2\)

Ffront and back gives us (65 units^2 * 2) = 130 units^2

Step 4:  Add up the areas to get the total surface area

\(104\ units^2 + 40\ units^2 + 130\ units^2\)

\(274\ units^2\)

Answer:  \(274\ units^2\)

The gender of the manatees could be an important variable when studying manatees. Gender is an a. categorical variable.

An example of a categorical variable is one that divides data into categories. Here, the categorical variable represents a particular gender while studying manatees. Rather than using numerical values, categorical variables are typically expressed by labels or terms like owns or rents. Researchers may more readily identify and analyse data by employing categorical variables. Thus, a categorical variable here is gender.

Variables that typically fall into separate categories or groups are known as categorical variables, and they cannot be quantified on a continuous scale. Gender is a categorical variable in study of manatees because it may be categorised into distinct groups, such as male or female, without the need of quantitative measures.

Complete Question:

Gender of the manatees could be an important variable when studying manatees. what type of variable is gender?

a. Categorical

B. Quantitative

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Answer:

512

Step-by-step explanation:

You are multiplying the bottom two numbers connected to the box on top.

In this case, multiply 64 with 8:

64 * 8 = 512

512 is your answer.

~

Answer:

top box will be 512

Step-by-step explanation:

Multiply 2 boxes under each box so 64x8=512

Answer:

Part 1:

From 1:20 to 1:55 is a total of 35 minutes. Since the minute hand completes one full rotation in 60 minutes, it moves halfway around the clock during this time. Therefore, the minute hand moves pi (or 180 degrees) radians.

Answer: pi (or 180 degrees)Part 2:

Since the minute hand has a length of 6 inches, we can use the formula for the circumference of a circle to find how far the tip of the minute hand travels during this time.

C = 2pir

C = 2pi6

C = 12pi

So the tip of the minute hand travels a total distance of 12pi inches during the 35 minutes from 1:20 to 1:55.

Answer: 12*pi inches

The most accurate statement about a binomial random variable is that it counts the number of successes in a given number of trials. This statement is represented by option C.

A binomial random variable is a discrete random variable that models the number of successes in a fixed number of independent Bernoulli trials. Each trial has two possible outcomes: success or failure. The probability of success remains constant across all trials, denoted by the parameter p. The number of trials is denoted by n.

The binomial distribution is characterized by its probability mass function (PMF), which calculates the probability of observing a specific number of successes in the given number of trials. The shape of the binomial distribution is not necessarily bell-shaped, as stated in option A, but rather exhibits a peaked or skewed distribution depending on the values of p and n.

Option B, stating that a binomial random variable is a continuous random variable, is incorrect. Binomial random variables are discrete, meaning they can only take on whole number values. Continuous random variables, on the other hand, can take on any value within a specified range.

Option D, stating that a binomial random variable counts the number of successes in a specified time interval or region, is not accurate. Binomial random variables are concerned with counting successes in a fixed number of trials, not specifically related to a time interval or region.

In summary, the most accurate statement is that a binomial random variable counts the number of successes in a given number of trials, making option C the correct choice.

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