Assuming all conditions for inference are met, what defines a 95 percent confidence interval for the slope of the least-squares regression line?

The 15 percent tip on a dinner bill of 48.71 dollars is 7.3 dollars

The dinner bill is 48.71 dollars. Let's estimate a 15 percent tip on the dinner bill as follows:

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100.

In other words, Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Therefore, let's estimate the 15% tip on the dinner bill of 48.71 dollars.

dinner tip = 15% of 48.71

dinner tip =  15 / 100 × 48.71

Hence, the estimated 15% tips of the dinner bill is as follows:

dinner tip = 7.3065 dollars

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The distance between ping's home to aris's home will be 1 street and 12th avenue.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given,

Ping house ⇒ 3rd street and 6th avenue

Ari's home ⇒  21st street and 18th avenue

So, the distance between them

21 - 3 = 18 street

18 - 6 = 12 avenue.

Hence "The distance between ping's home to aris's home will be 1 street and 12th avenue".

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Answer:

18

Step-by-step explanation:

18

The error in the sampling estimate that occurs when non-respondents differ from respondents is known as non-response bias.

Non-response bias refers to the systematic difference between respondents and non-respondents in a survey or study. It occurs when individuals who choose not to respond to a survey or study have different characteristics or opinions compared to those who do respond. This difference can introduce bias into the sampling estimate because the sample may not accurately represent the target population.

When non-response bias occurs, the estimates based only on the respondents may not fully capture the true characteristics or opinions of the entire population. The extent of non-response bias depends on the factors that influence non-response, such as demographics, attitudes, or behaviors.

To minimize non-response bias, efforts can be made to increase the response rate through various strategies, such as using reminder techniques, offering incentives, or employing appropriate survey methods. Additionally, statistical adjustments can be applied to account for potential biases caused by non-response, such as weighting or imputation techniques.

Awareness of non-response bias is crucial for researchers to accurately interpret and generalize the findings of a study and to understand the potential limitations and sources of error in the sampling estimate.

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Answer:

5 dollar bc ik it i pass it

(a) The set {u, 7, 2u+} is linearly dependent.

(b) The set {u+u, u-20) is linearly independent.

(a) To show that the set {u, 7, 2u+} is linearly dependent, we can show that there exist non-zero scalars, a, b, and c, such that au + bv + cw = 0. We can do this by setting a = 1, b = -7/2, and c = -1/2. This gives us the following equation:

u - 7/2 * 7 - 1/2 * 2u+ = 0

This equation simplifies to u - 7u - 7 - u+ = 0

This equation is true, which means that the set {u, 7, 2u+} is linearly dependent.

(b) To show that the set {u+u, u-20) is linearly independent, we can show that the only way to get the zero vector is to use the zero vector for all three vectors. This means that we need to show that there do not exist non-zero scalars, a, b, and c, such that au + bu + cu = 0.

If we set a = 1, b = 1, and c = 0, we get the following equation:

u + u - 20u = 0

This equation simplifies to -19u = 0

This equation is only true if u = 0. However, we are given that u is not equal to 0. Therefore, there do not exist non-zero scalars, a, b, and c, such that au + bu + cu = 0. This means that the set {u+u, u-20) is linearly independent.

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Answer:

\(\textsf{a)}\quad y=-\dfrac{2}{3}x+4\)

Step-by-step explanation:

A line of best fit is a straight line that represents the general trend in a set of data points. The line is determined by minimizing the overall distance between the line and the data points.

If we add a line of best fit to the given scatter plot (see attachment):

We can use these two points to calculate the slope of the line by substituting them into the slope formula:

\(\textsf{Slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-4}{6-0}=-\dfrac{4}{6}=-\dfrac{2}{3}\)

The line intercepts the y-axis at y = 4, so the y-intercept is 4.

Substitute the found slope and the y-intercept into the slope-intercept formula to create the equation of the line of best fit:

\(\begin{aligned}y&=mx+b\\\implies y&=-\dfrac{2}{3}x+4\end{aligned}\)

Therefore, the equation of the line of best fit is

\(\boxed{y=-\dfrac{2}{3}x+4}\)

Answer:

Henry bought a candy bar for $3.20 and a chocolate bar for $1.60. He paid with a $20 bill, so he received $15.20 in change. He has $15.20 left over.

Step-by-step explanation:

Answer: x=13°

Step-by-step explanation: We know total amount of degrees in a triangle is 180°. We also know two of the angles' degrees: 39° and 90°. Now, with this info, we set up an equation: (3x+12)+39+90=180. We add 39 and 90 to get 129; then we subtract 129 on both sides of the equation. Our equation should now look like this: 3x+12=51. Subtract 12 on both sides to get: 3x=39. Lastly, divide 3 on both sides to find the value of x.

The better buy is given by the following brand:

Brand A.

The better buy is obtained applying the proportions in the context of the problem.

A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.

Then the better buy is given by the option with the lowest cost per ounce.

The cost per ounce for each brand is given as follows:

$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.

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The interest earned by Mrs Grey over the 7 years is R5670. The cost of the television set 5 years ago was R20,600.

4.1.1 To calculate the interest earned by Mrs Grey over 7 years, we use the formula for simple interest: Interest = Principal x Rate x Time. Mrs Grey's principal is R18,000 and the rate is 4.5% per annum. The time is 7 years. Using the formula, we can calculate the interest as follows:

Interest = R18,000 x 0.045 x 7 = R5670. Therefore, Mrs Grey has earned R5670 in interest over the 7 years.

4.1.2 To calculate the cost of the television set 5 years ago, we need to account for the inflation rate. The cost of the television set now is R27,660. The average rate of inflation over the last 5 years is 6.7% per annum. We can use the formula for compound interest to calculate the original cost of the television set:

Cost 5 years ago = Cost now / (1 + Inflation rate)^Time

Cost 5 years ago = R27,660 / (1 + 0.067)^5 = R20,600. Therefore, the cost of the television set 5 years ago was R20,600.

4.1.3 To determine the rate of simple interest Mrs Grey should have invested her money at 7 years ago, we can use the formula for interest: Interest = Principal x Rate x Time. We know the principal is R18,000, the time is 7 years, and the interest earned is R5670. Rearranging the formula, we can solve for the rate:

Rate = Interest / (Principal x Time)

Rate = R5670 / (R18,000 x 7) ≈ 0.0448 or 4.48% per annum. Therefore, Mrs Grey should have invested her money at a rate of approximately 4.48% per annum to have earned enough interest to purchase the television set using only her original investment and the interest earned over the 7 years.

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Answer:

Step-by-step explanation:

the answer is 4

Answer:

x=4/5

Step-by-step explanation:

5x+1=5

5x=4

x=4/5

The formula for the arithmetic sequence of hours from 1 P.M. to midnight is: aₙ = 13 + (n - 2) * 1

Arithmetic sequence for the positive whole numbers less than 100:

To find the formula for an arithmetic sequence, we need to determine the common difference (d) between consecutive terms.

In this case, the first term (a₁) is 1, and the last term (aₙ) is the largest positive whole number less than 100, which is 99. Since the common difference between consecutive terms is 1, we can use the formula:

aₙ = a₁ + (n - 1) * d

Substituting the values:

99 = 1 + (n - 1) * 1

Simplifying the equation:

n - 1 = 99 - 1

n - 1 = 98

Adding 1 to both sides:

n = 99

Therefore, the formula for the arithmetic sequence of positive whole numbers less than 100 is:

aₙ = 1 + (n - 1) * 1

Arithmetic sequence for the hours of the day from 1 P.M. to midnight:

In this case, the first term (a₁) is 1 P.M., which is equivalent to 13 hours. The last term (aₙ) is midnight, which is equivalent to 12 hours. The common difference (d) between consecutive terms is 1 hour.

Using the same formula as above, we can write:

aₙ = a₁ + (n - 1) * d

Substituting the values:

12 = 13 + (n - 1) * 1

Simplifying the equation:

n - 1 = 12 - 13

n - 1 = -1

Adding 1 to both sides:

n = 0

However, since we're looking for the hours from 1 P.M. to midnight, we want to exclude 1 A.M., which would be n = 0. Therefore, we need to adjust the formula slightly:

aₙ = a₁ + (n - 2) * d

So, the formula for the arithmetic sequence of hours from 1 P.M. to midnight is:

aₙ = 13 + (n - 2) * 1

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Answer:

Step-by-step explanation:

Begin by combining like terms and then factoring. Combining like terms will give you

\(10p^2-17p-20=0\) Using the "old-fashioned" way of factoring, the a times c method, our a = 10, b = -17 and c = -20.

a * c = 10(-20) = -200 and now we need the factors of 200 (don't worry about the negative) that combine to give us that middle term, -17p (here is where the negative matters). The factors of 200 are:

1. 200;  2, 100;  4. 50;  5, 40;  8, 25;  10, 20

The combination of those numbers that can be manipulated to give us a -17p is the 8, 25 as long as we say that the 25 is negative and the 8 is positive. Rewrite the original polynomial to reflect those factors:

\(10p^2-25p+8p-20=0\) and then factor by grouping:

\((10p^2-25p)+(8p-20)=0\) and factor out from each set of parenthesis what is common:

\(5p(2p-5)+4(2p-5)=0\) again factor out what is common:

(2p - 5)(5p+ 4) = 0. These are the factors; therefore the solutions are

2p - 5 = 0 so

2p = 5 and

p = 5/2  and

5p + 4 = 0 and

5p = -4 so

p = -4/5

On solving the provided question, we can say that we excluded example 2 above, a maximum of 3 triangles can be created with those rods.

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear.

\(2-inch, 3 inch, 4-inch\)

triangle, because 2+3 > 4, 2+4 > 3, and 3+4 > 2

\(2-inch, 3 inch, 5-inch\)

This is doesn't make  a triangle as  \(2+5 > 3, and 3+5 > 2,\)

2+3 is not more  than 5,, they cannot make triangle.

\(2-inch, 4 inch, 5-inch\)

triangle, because 2+4 > 5, 2+5 > 4, and 4+5 > 2

\(3-inch, 4 inch, 5-inch\)

a triangle, because 3+4 > 5, 3+5 > 4, and 4+5 > 3

Therefore, since we excluded example 2 above, a maximum of 3 triangles can be created with those rods.

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Answer:

240

Step-by-step explanation:

240 times 0.15 (15%) is 36

The student who watches Netflix for 2.5 hours is 0.714 standard deviations from the mean. This is determined by subtracting the mean from the given value and then dividing the result by the standard deviation. To obtain the exact value, we use the formula (2.5 - 2.1) / 0.7 = 0.71429. Rounding this to four decimal places gives 0.7143, or 0.7 standard deviations from the mean.

Standard deviation is a measure of how far a given value deviates from the mean. It is often used to compare sets of data and to identify outliers. When data is normally distributed, a value that is 1 standard deviation away from the mean occurs about 68% of the time. Values that are 2 standard deviations away occur about 95% of the time, and values that are 3 standard deviations away occur about 99.7% of the time. Thus, the student watching 2.5 hours of Netflix is an outlier who deviates from the average by a statistically significant amount.

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P(-1) = Remainder = -1. Using synthetic division with the value a = -1, we find that when we divide P(x) = x³ + 3x² - 5x - 4 by x + 1, the remainder is 0. Therefore, P(-1) = 0.

To find P(a) using synthetic division and the Remainder Theorem, where P(x) = x³ + 3x² - 5x - 4 and a = -1, we can follow these steps:

1. Set up the synthetic division using the given value of a:

  -1 │ 1   3   -5   -4

2. Bring down the first coefficient, which is 1, to the bottom row:

  -1 │ 1   3   -5   -4

        1

3. Multiply the value at the bottom row by a, which is -1, and write the result below the next coefficient:

  -1 │ 1   3   -5   -4

        1

     -1

4. Add the values in the second and third columns and write the result below the next coefficient:

  -1 │ 1   3   -5   -4

        1  -2

     -1

5. Repeat the process by multiplying the value at the bottom row by -1 and writing the result below the next coefficient:

  -1 │ 1   3   -5   -4

        1  -2    7

     -1

6. Add the values in the second and third columns and write the result below the next coefficient:

  -1 │ 1   3   -5   -4

        1  -2    7

     -1    1

The final row represents the coefficients of the quotient when dividing P(x) by (x - a). In this case, the quotient is x² - 2x + 7.

7. Determine the remainder by looking at the last value in the bottom row, which is the remainder when dividing P(x) by (x - a):

  Remainder = -1

Therefore, P(-1) = Remainder = -1.

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Answer:

38/5m

Step-by-step explanation:

Solution

= 2/5m - 4/5- 3/5

take 5 common in denominators

= 2-4+3/5

38/5m

The segment bisector of \(\overline{RS}\) is \(\overrightarrow{MA}\)

The value of \(\overline{RS} = 18\)

Complete Question:

Identify the segment bisector of RS. Then find RS:

Recall:

A segment bisector is a line or part of a line that divides a segment into two equal segments or parts.

Thus:

From the image in number 4, we have line RS that is divided by \(\overrightarrow{MA}\) into two equal segments, namely:

RM and MS

The segment bisector  of \(\overline{RS}\) is therefore \(\overrightarrow{MA}\).

Thus:

\(RM = MS = 9\) (equal segments)

\(RM + MS = RS\) (segment addition postulate)

Substitute:

\(9 + 9 = \overline{RS}\\18 = \overline{RS}\\\overline{RS} = 18\)

Therefore:

The segment bisector of \(\overline{RS}\) is \(\overrightarrow{MA}\)

\(\overline{RS} = 18\)

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In a normal distribution, the mean represents the center of the distribution and the standard deviation represents the spread of the distribution.

The higher the standard deviation, the more spread out the data is. The probability of a specific outcome occurring is given by the area under the curve of the normal distribution that corresponds to that outcome.

For example, if we wanted to find the probability of x being between 45 and 55, we would find the area under the normal curve between those two values. This can be done using a table of standard normal probabilities or by using a calculator or statistical software.

In general, if we know the mean and standard deviation of a normally distributed random variable, we can use that information to find probabilities for specific outcomes or ranges of outcomes.

you'll need to provide a specific range or value of X. Once you have that, you can use the Z-score formula or a standard normal distribution table to determine the probability.

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The graph of y = 3x is a straight line that passes through the origin (0,0) and has a slope of 3.

In computer science, a graph is a collection of nodes or vertices, connected by edges or arcs, which represents a set of pairwise relationships between the nodes. Graphs are widely used in computer science and related fields as a way of representing complex networks or relationships between different entities.

Graphs can be directed or undirected. In a directed graph, each edge has a direction and represents a relationship between two nodes that is one-way. In an undirected graph, each edge represents a two-way relationship between two nodes.

Graphs can also be weighted or unweighted. In a weighted graph, each edge has a numerical weight assigned to it, which represents the strength or importance of the relationship between the two nodes it connects. In an unweighted graph, all edges have the same weight.

Graphs can be used to model a wide variety of systems and processes, including social networks, computer networks, transportation systems, and many others. They are also used in many algorithms and data structures, including shortest path algorithms, network flow algorithms, and data mining algorithms.

by the question.

Let's choose some values for x and use the equation to find the corresponding values for y:

x       y

-2       -6

-1       -3

0       0

1               3

2       6

Now we can plot these points on a graph and connect them with a straight line:

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1.5

The given function is:

f(x) = 2x² + 5x – 12

To find the zeros, equate f(x) to zero.

f(x) = 0

2x² + 5x – 12 = 0

2x² - 3x + 8x - 12 = 0

x(2x - 3) + 4(2x - 3) = 0

(x + 4)(2x - 3) = 0

x + 4 = 0

x = -4

2x - 3 = 0

2x = 3

x = 3/2

x = 1.5

The zeros of the function f(x) = 2x² + 5x – 12 are -4 and 1.5

Since only x = 1.5 is positive, x = -4 is not positive, the value of the positive zero is 1.5

The line of reflection are across the y-axis.

Given data is,

Let the polygon be represented as VWXYZ

Now , the coordinates of the polygon is given as

The coordinate of V =  ( -8 , 2 )

The coordinate of W =  ( -8 , 0)

The coordinate of X =  ( -5 , -7 )

The coordinate of Y =  ( - 2 , 0 )

The coordinate of Z =  ( - 2 , 2 )

Now , the translated polygon is having the coordinates as

The coordinate of V' =  ( -8 , 8 )

The coordinate of W =  ( -8 , 6)

The coordinate of X =  ( -5 , 1 )

The coordinate of Y =  ( - 2 , -6 )

The coordinate of Z =  ( - 2 , -8 )

Clearly, x coordinate will be same but y coordinate will be change.

Hence, The line of reflection are across the y-axis.

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Answer: y = -3

Step-by-step explanation:

Answer: x = 11

Step-by-step explanation:

You didn't state what you needed for these problems so I'm going to assume you need to solve for X.

1st Equation:

3x - y = 23 --> y = 3x - 23

2nd Equation:

2x + 3y = 8 --> (3y = 8 - 2x)/3 = y = 8/3 - 2x/3

Set Equations = to Each other

3x - 23 = 8/3 - 2x/3 --> 3x - 2x/3 = 8/3 + 23

9x/3 - 2x/3 = 8/3 + 69/3 --> 7x/3 =77/3

7x/3 X 3/7 = 77/3 X 3/7

x = 11

If you need to solve for y as well plug the x value back into the original equation and solve.

The base salary per year is $66,200, and she only gets the target for medication A, the 70% of the annual bonus of $22,500

(22,500 * 70)/ 100 = 15,750

So the total of her compensation (salary plus bonus) is:

$66,200 + $15,750 = $81950

Answer:

author link

annaking0830

Ambitious

14 answers

987 people helped

Answer:

0.5f - 17.77

Step-by-step explanation:

im pretty sure thats right im not 100% sure more like 80% sure but ya thats what i got hope its right :)

p.s i do khan too!!

Answer:

Answer:

author link

annaking0830

Ambitious

14 answers

987 people helped

Answer:

0.5f - 17.77

Step-by-step explanation:

im pretty sure thats right im not 100% sure more like 80% sure but ya thats what i got hope its right :)

Step-by-step explanation: