simplify the vector =6(⟨1,11⟩ ⟨4,10⟩).

Answer:

3√2 - 4√5 -

ig this is the answer

Answer:

3\(\sqrt{2}\) - \(\sqrt{5}\)

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)

Simplifying the radicals

\(\sqrt{18}\)

= \(\sqrt{9(2)}\)

= \(\sqrt{9}\) × \(\sqrt{2}\)

= 3\(\sqrt{2}\)

---------------------------

\(\sqrt{20}\)

= \(\sqrt{4(5)}\)

= \(\sqrt{4}\) × \(\sqrt{5}\)

= 2\(\sqrt{5}\)

------------------------

\(\sqrt{45}\)

= \(\sqrt{9(5)}\)

= \(\sqrt{9}\) × \(\sqrt{5}\)

= 3\(\sqrt{5}\)

Then

\(\sqrt{18}\) + \(\sqrt{20}\) - \(\sqrt{45}\)

= 3\(\sqrt{2}\) + 2\(\sqrt{5}\) - 3\(\sqrt{5}\) ← collect like terms

= 3\(\sqrt{2}\) - \(\sqrt{5}\)

Answer:

The Mean absolute deviation of any data set is best for explain how spread out the data values are compared to each other and the mean. This value is found be finding the difference of all data points to the mean of the data set, and then finding the average of those, by adding them all up and dividing by the total number of data points there are. If the mean absolute deviation is larger, then this means that there is more variability in the data set, and it is in fact very spread out. Finding the average of the distances of data points from the mean can be very helpful in determining conclusions about data sets.

Step-by-step explanation:

Change wording

The Mean absolute deviation of any data set gives us an idea about the variability in a dataset.

The mean absolute deviation of a dataset is the average distance between each data point and the mean.

The Mean absolute deviation of any data set is best to explain how spread out the data values are compared to each other and the mean.

This value is found to be finding the difference of all data points to the mean of the data set, and then finding the average of those, by adding them all up and dividing by the total number of data points there are.

If the mean absolute deviation is larger, then this means that there is more variability in the data set, and it is in fact very spread out.

Finding the average of the distances of data points from the mean can be very helpful in determining conclusions about data sets.

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To calculate real interest rates, you need to take into account inflation. The formula for real interest rate is: Real interest rate = Nominal interest rate - Inflation rate.

To calculate nominal interest rates, you simply divide the interest rate by 100 and multiply it by the principal amount. For example, if the nominal interest rate is 5% and you put $100 in the bank, you would earn $5 in interest ($100 x 0.05).

To calculate real interest rates, you need to take into account inflation. The formula for real interest rate is:

Real interest rate = Nominal interest rate - Inflation rate

For example, if the nominal interest rate is 5% and the inflation rate is 2%, the real interest rate would be 3% (5% - 2%). This means that your $100 in the bank would earn $3 in real terms after accounting for inflation.

In summary, to calculate nominal interest rates, simply multiply the principal by the interest rate, while to calculate real interest rates, subtract the inflation rate from the nominal interest rate.

Nominal interest rate is the rate at which you earn interest on your deposit without accounting for inflation. Let's assume you deposit $100 in a bank that offers a 5% annual nominal interest rate. To calculate the interest earned in one year, you would use the following formula:

Interest earned = Principal amount x Nominal interest rate
Interest earned = $100 x 0.05
Interest earned = $5

Now, to calculate the real interest rate, you need to consider the inflation rate. The real interest rate is the nominal interest rate adjusted for inflation, and it provides a more accurate representation of the true return on your investment. To calculate the real interest rate, use the Fisher equation:

Real interest rate ≈ Nominal interest rate - Inflation rate

Assuming the annual inflation rate is 2%, you would calculate the real interest rate as follows:

Real interest rate ≈ 0.05 - 0.02
Real interest rate ≈ 0.03 (or 3%)

So, in this example, your real interest rate is 3%, which takes into account the effects of inflation on your $100 deposit.

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Answer:

see attached

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

because you have to look at what both sides of the graph is doing as it approaches 2.

from the left, we can see the the graph is going down All the way to 0 at x=2.

and from the right side, the graph is going up to 0 at x=2.

therefore the graph is approaching 0.

The limit of h(x) as x tends to 2 is equal to 0.

Remember that a limit is not the same as an evaluation, the limit studies the behavior of the function near the value, not in x = 2.

While we can see that h(2) = 3 (we have a jump there). We can see that around x = 2 the function tends to zero.

From that, we conclude that:

\(\lim_{x \to \ 2} h(x) = 0.\)

Then the correct option is the first one.

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Answer:

y =1 /3 x + 14 /3

Step-by-step explanation:

Answer:

\( \boxed{\sf (c) \ 9a - 8 {a}^{2}} \)

Step-by-step explanation:

\( \sf Simplify \: the \: following: \\ \sf \implies 3a - 2a \times 4a + 6a \\ \\ \sf - 2a \times 4a = - 2 {a}^{2} \times 4 : \\ \sf \implies \boxed{ \sf - 2 {a}^{2} \times 4} + 3a + 6a \\ \\ \sf - 2 \times 4 = - 8 : \\ \sf \implies \boxed{ \sf- 8} {a}^{2} + 3a + 6a \\ \\ \sf 3a + 6a = 9a : \\ \sf \implies 9a - 8 {a}^{2} \)

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The final expression of the expression 3a - (2a x 4a) + 6a is

9a - 8a².
Option C is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

3x + 5 + 3 is an expression.

4x = 6 is an expression.

We have,

3a - (2a x 4a) + 6a

3a - 8a² + 6a

Combine like terms.

9a - 8a²

We can also write,

-8a² + 9a

There is no common factor or like terms to simplify further.

So,

9a - 8a²

Thus,

The final expression of the expression 3a - (2a x 4a) + 6a is

9a - 8a².
Option C is the correct answer.

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The maximum value of the data is given as follows:

75.

A box and whisker plot shows these five metrics from a data-set, listed and explained as follows:

The maximum value on the box plot is the end of the plot, hence it is of 75.

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Answer:

Step-by-step explanation:

See attachment

Answer:

13×1/4

Step-by-step explanation:

turn into improper fraction

Answer:

\(\frac{3x+17}{-3x(2x-13)}\)

unless there is more to the question

Step-by-step explanation:

You can't do anything to the top so work with the bottom.

since both terms have an x and are divisible by 3 take out a GCF of -3x

The bottom should be: -3x(2x-13)

You can't simplify any further.

Answer:

6%

Step-by-step explanation:

The average rate is approximately 2%

The formula for calculating the average rate of return under continuous compounding is expressed as \(A=Pe^{rt\)

Given the following parameters

\(P = \$50,000\)

A = $175,222.57

t = 20 years

Substitute the given parameters into the formula to get the rat\(175,222.57 = 5000e^{20r}\\e^{20r}=\frac{175,222.57.}{5000}\\e^{20r}= 35.155514\\lne^{2r}=ln 35.155514\\2r = 3.5597\\r = 3.5597/2\\r =1.779 \%\)

Hence the average rate is approximately 2%

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The value of the denominator in the calculation of the multiple standard error of the estimate would be 114.

In multiple regression analysis, the denominator in the calculation of the multiple standard error of the estimate is determined by the sample size and the number of independent variables (also known as predictors).

The formula to calculate the multiple standard error of the estimate (also known as the standard error of the regression or residual standard error) is:

Standard Error of the Estimate = sqrt(Sum of squared residuals / (n - k - 1))

Where:

Sum of squared residuals is the sum of the squared differences between the observed values and the predicted values from the regression model.

n is the sample size.

k is the number of independent variables (predictors).

In this case, if there are ten independent variables and a sample size of 125, the value of the denominator in the calculation of the multiple standard error of the estimate will be:

Denominator = n - k - 1

= 125 - 10 - 1

= 114

Therefore, the value of the denominator in the calculation of the multiple standard error of the estimate would be 114.

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Answer:

$101.21

Step-by-step explanation:

I'll assume the rate is per month

100*100.2^6

after math

101.20601602

round to the nearest cent for money

101.21

Answer:

h = v × 3/B

\(h = 18 \: cm\)

Step-by-step explanation:

\(v = \frac{1}{3} Bh \\ \\ h = v \div \frac{1}{3} B \\ \\ h = v \times \frac{3}{B} \\ \\ h = 216 \times \frac{3}{36} \\ \\ h = 18 \: cm\)

I hope I helped you^_^

the vector pq is drawn from origin to point (1,-3)

To sketch the vector  p q in the plane, we start at the initial point p (2, -2) and end at the terminal point q (3, -5).

First, draw a coordinate system with x and y axes. Then plot the point p at (2, -2) and the point q at (3, -5).

Next, draw an arrow from point p to point q. The length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector.

The vector p q can be represented as the difference between the coordinates of q and p:

p q = (3, -5) - (2, -2) = (1, -3)

So the vector pq is drawn from origin to point (1,-3)

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Answer:

no

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

To calculate a 95% confidence interval for the mean weight of all Utah County Fair pigs, we use the formula:

Confidence Interval = Sample Mean ± Margin of Error

Given:

Sample Mean (x) = 195

Standard Deviation (σ) = 18

Sample Size (n) = 100

The margin of error can be calculated using the formula:

Margin of Error = (Z * σ) / √n

For a 95% confidence level, the Z-value for a two-tailed test is approximately 1.96.

Margin of Error = (1.96 * 18) / √100

= 3.528

Therefore, the confidence interval is:

(195 - 3.528, 195 + 3.528)

(191.472, 198.528)

The correct answer is (191, 199).

Question 4: If the sample size is increased from 100 to 200, the margin of error will decrease in size. The margin of error is inversely proportional to the square root of the sample size. As the sample size increases, the margin of error becomes smaller, resulting in a more precise estimate.

Question 5: To find out how many pigs must be sampled to have 90% confidence in the results with a margin of error of 6.8, we can use the formula:

Sample Size (n) = (Z^2 * σ^2) / E^2

Given:

Confidence Level (1 - α) = 90% (or 0.9)

Margin of Error (E) = 6.8

Standard Deviation (σ) = 18

For a 90% confidence level, the Z-value for a two-tailed test is approximately 1.645.

Sample Size (n) = (1.645^2 * 18^2) / 6.8^2

= 3.379

Therefore, the minimum number of pigs that must be sampled is approximately 4 (rounded up to the nearest whole number).

The correct answer is 5.

The true statements are

i. probability is usually between 0 and 1, inclusive.

ii. an event that is likely has a probability that is close to 1.

(option i and ii).

Probability is an important concept in mathematics and statistics that allows us to quantify the likelihood or chance of an event occurring. It is often represented as a number between 0 and 1, inclusive. A probability of 0 means that the event is impossible, while a probability of 1 means that the event is certain to occur.

Now, let's examine each of the statements to determine which ones are true.

The first statement, "probability is usually between 0 and 1, inclusive," is true. As mentioned earlier, probability is always represented as a number between 0 and 1, inclusive.

The second statement, "an event that is likely has a probability that is close to 1," is also true. If an event is likely to occur, it means that there is a high probability of it happening. Therefore, the probability assigned to that event would be close to 1.

Hence the correct option is (a) and (b)..

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Bottom left as it's measurements and shape are the closest to the one Jan has

There is good evidence that smoking rates for young teens in Massachusetts have decreased.

To answer this question, we need to calculate the proportion of teens in the sample who said they smoked (63/273). This gives us a sample proportion of 0.23, which is lower than the long-run average smoking prevalence in the state (26%). This suggests that there is good evidence that smoking rates for young teens have decreased.

We can also calculate a confidence interval to further assess the evidence. A 95% confidence interval for the true proportion of teens in Massachusetts who smoke would be (0.17, 0.29). This confidence interval does not contain the long-run average smoking prevalence of 26%, which suggests that there is a statistically significant decrease in smoking rates for young teens in Massachusetts.

Overall, there is good evidence that smoking rates for young teens in Massachusetts have decreased.

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The characteristics of the correlation coefficient are A. It must be between -1 and 1. C. If the correlation is positive, the slope of the regression line is also positive. E. The correlation coefficient tells you how strong the residuals are.

The correlation coefficient is a statistical measure that quantifies the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation. Therefore, option A is correct.

Regarding option B, the correlation coefficient does not indicate the percentage of points that lie on the regression line. Instead, it measures the overall strength and direction of the relationship between the variables.

Option C is correct because if the correlation is positive, it means that as one variable increases, the other variable tends to increase as well. This positive relationship is reflected in the positive slope of the regression line.

Option D is incorrect because the correlation coefficient can be positive, negative, or zero, depending on the nature of the relationship between the variables.

Option E is correct. The correlation coefficient provides information about the strength of the relationship between the variables, which can be used to assess the strength of the residuals or the deviations from the regression line.

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Answer:

Hope the picture will help you.....

Answer: 22.6

Step-by-step explanation:

Step 1: List Factors. List the factors of 512 like so:

Step 2: Find Perfect Squares. Identify the perfect squares* from the list of factors above:

Step 3: Divide. ...

512 / 256 = 2.

Step 4: Calculate.

Step 5: Get Answer. ...

512½ = 16 x 2½

Construct a 90% confidence interval with sample size 50, the critical value is 1.645. Construct a 95% confidence interval with sample size 20, the critical value is 2.093. Construct a 80% confidence interval with sample size 8, the critical value is 1.895. Construct a 99% confidence interval with sample size 40, the critical value is 2.704.

(a) Construct a 90% confidence interval with sample size 50.

The critical value for the level of confidence 90% and degrees of freedom 49, we get a critical value of 1.645.

Hence, the critical value is 1.645.  

(b) Construct a 95% confidence interval with sample size 20.

Using the statistical table, the critical value for the level of confidence 95% and degrees of freedom 19, we get a critical value of 2.093.

Hence, the critical value is 2.093.

(c) Construct a 80% confidence interval with sample size 8.

Using the statistical table, the critical value for the level of confidence 80% and degrees of freedom 7, we get a critical value of 1.895.

Hence, the critical value is 1.895.

(d) Construct a 99% confidence interval with sample size 40.

Using the statistical table, the critical value for the level of confidence 99% and degrees of freedom 39, we get a critical value of 2.704.

Hence, the critical value is 2.704.

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Answer:

yes

Step-by-step explanation:

when it has the Same numbers over and over it's a repeated decimal

To create indicator variables for the 'history' column with the base case as 'none', we can create three variables: 'low', 'medium', and 'high'.

We assign the value of 1 to the corresponding variable if the 'history' column has a positive case (low, medium, or high), and 0 if it has a negative case (none).

Here is an example of how the indicator variables can be created:

'low': Assign the value of 1 if the 'history' column has the value 'low', and 0 otherwise.

'medium': Assign the value of 1 if the 'history' column has the value 'medium', and 0 otherwise.

'high': Assign the value of 1 if the 'history' column has the value 'high', and 0 otherwise.

By creating these indicator variables, we can represent the 'history' column in a binary format that can be used for further analysis or modeling.

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The true statement is option (A) The equation |-x - 4| = 8 will have two solution

Consider each statement

All the statements are absolute value equation

Part A

|-x-4| = 8

We can write it in two way

-x - 4 = 8

- x = 12

x = -12

Then,

-(-x-4) = 8

x+4 = 8

x = 4

It has two solution

Part B

3. 4|0. 5x - 42. 1| = -20. 6

Divide both side by 3.4

|0.5x - 42.1| = -103/17

Absolute value cannot be negative

The equation has no solution

Part C

|1/2x - 3/4| = 0

1/2x - 3/4 = 0

1/2x = 3/4

x = 3/4 ÷ 1/2

x = 3/2

The equation has one solution

Part D

|2x - 10| = -20

Absolute value cannot be negative

This equation has no solution

Part E

|0. 5x - 0. 75| 4. 6 = 0. 25

Divide both side by 4.6

|0.5x - 0.75| = 5/92

The equation divided into two

0.5x - 0.75 = 5/92

x = 37/23

0.5x - 0.75 = -5/92

x = 32/23

The equation has two solution

Part F

|1/8x - 1| = 5

1/8x - 1 = 5

x = 48

1/8x - 1 = -5

x = -32

The equation has two solution

Therefore, the equation |-x - 4| = 8 will have two solution is true

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