Find the surface area of the image below

A regression model in which more than one independent variable is used to predict the dependent variable is called multiple linear regression.

Multiple linear regression refers to a statistical technique used to predict the outcome of one variable based on the values ​​of two or more variables. Sometimes simply called multiple regression, it is an extension of linear regression. The variable we want to predict is called the dependent variable, and the variables we use to predict the value of the dependent variable are called the independent or explanatory variables.

Multiple Linear Regression - Formula

Yi + β0 + β1xi1 + β2xi2 + βpxip + ∈

Where:

Yi​ is the dependent or predicted variable

β0 is the y-intercept, i.e., the value of y when both xi and x2 are 0.

β1 and β2 are the regression coefficients representing the change in y relative to a one-unit change in xi1 and xi2, respectively.

βp is the slope coefficient for each independent variable.

∈ is the model’s random error (residual) term.

To learn more about multiple linear regression visit: https://brainly.com/question/14313391

#SPJ4

Answer:

30

Step-by-step explanation:

you just multiply both the 7 and the 3 by ten

Using compound interest formula when the CD matures on Melissa's 14th birthday, there will be $3187.69 available.

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

Use the formula for compound interest to calculate the amount of money that will be available when the CD matures -

\(A = P(1 + r/n)^(nt)\)

Where A is the amount of money available when the CD matures, P is the initial principal, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, the initial principal is $2000, the interest rate is 6%, and the CD will be held for 8 years (from Melissa's 6th to 14th birthday).

It is not given how many times per year the interest is compounded, so assume it is compounded annually.

Using these values in the formula -

\(A = $2000(1 + 0.06/1)^(1*8)A = $2000(1.06)^8A = $3187.69\)

Therefore, the value is obtained as $3187.69.

To learn more about compound interest from the given link

brainly.com/question/28020457

#SPJ1

The probability that a randomly selected group of 49 people has an average IQ above 103 is approximately 0.0808 or 8.08%.

The sampling distribution of the sample mean refers to the distribution of sample means from a repeated random sampling of a population. It is an important concept when dealing with large samples.

To calculate the probability that a randomly selected group of 49 people has an average IQ above 103, we can use the concept of the sampling distribution of the sample mean and the Central Limit Theorem.

Here we have

The average IQ in a population is 100 with a standard deviation of 15. determine the probability that a randomly selected group of 49 people has an average IQ above 103

To calculate the probability that a randomly selected group of 49 people has an average IQ above 103, we need to find the area under the normal curve corresponding to that event.

SE = standard deviation / √(sample size)

= 15 / √49 = 15 /7 = 2.14 (approximately)

Z-Score Calculation:

z = (X - μ) / SE

Here, X represents the value (103), μ represents the population mean (100), and SE represents the standard error of the mean (2.14).

z = (103 - 100) / 2.14 = 1.40 (approximately)

Using a standard normal distribution table or a calculator, we can find the probability associated with the z-score of 1.40.

The probability will be the area under the normal curve to the right of the z-score. The probability can be calculated as:

                   P(X > 103) = 1 - P(X ≤ 103)

By referring to the standard normal distribution table or using a calculator, we find that the probability corresponding to a z-score of 1.40 is approximately 0.0808.

Therefore,

The probability that a randomly selected group of 49 people has an average IQ above 103 is approximately 0.0808 or 8.08%.

Learn more about Probability at

https://brainly.com/question/18684705

#SPJ4

Answer:

25 or 26

Step-by-step explanation:

add 9 plus 16

so it is 16

Answer:

15

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation: because the only multiple of six on a six-sided die, is six.

if you wanted the decimal, then here it is:0.16666667

If a decision maker wishes to reduce the margin of error associated with a confidence interval estimate for a population mean, she can increase the sample size.

The margin of error refers to the statistic measurement that expresses the level of random sampling error in the outcomes of a survey. If the margin of error of the result is high, the confidence level would be low that a result reflects the census of the entire population. It indicated the difference between the actual and estimated results in a random survey sample. The margin of error is generally used in non-survey contexts to show observational error in reporting measured quantities. In order to minimize the margin of error associated with a confidence interval estimate for a population mean, the researchers can increase the sample size to capture the actual trend of the population more accurately.

Learn more about Margin of error:

https://brainly.com/question/24289590

#SPJ4

The maximum area of the rectangular patio is \(190*190 ft^2\)with dimensions of 190 ft by 189.5 ft.

To find the dimensions of the rectangle patio with the maximum area, we can use the formula for the area of a rectangle, A = lw. Since we know that one side of the patio is the house, we can assume that the length (l) is 190 ft. We can then solve for the width (w) using the formula A = 190w. We can rearrange and solve for w by dividing both sides by 190, giving us w = A/190. Since we want to maximize the area, we can choose the largest value for A. Since we have 190 ft of fencing, A = 190*190 = 36100 ft^2. Plugging this value into the equation, we get w = 36100/190 = 189.5 ft. Therefore, the dimensions of the rectangle patio with the maximum area are 190 ft by 189.5 ft.

Learn more about area here

https://brainly.com/question/13194650

#SPJ4

Try the slop formula. x1 - x2 over y1 - y2. Also, try to cross multiply what you already have.

\(\displaystyle\\Answer:\ y=-\frac{3}{2}x+1\)

Step-by-step explanation:

The condition of perpendicularity of the two lines given by the equations:

                             \(\displaystyle\\\left \{ {{y_1=m_1x+b_1} \atop {y_2=m_1x+b_2}} \right.\)

   is the relation: m₁ x m₂=-1

\(\displaystyle\\Hence,\ m_2=-\frac{1}{m_1}\)

\(\displaystyle\\Given: y=\frac{2}{3}x+\frac{2}{3}\ == > \ m_1=\frac{2}{3} \\\\Thus,\ m_2=-\frac{1}{\frac{2}{3} } \\\\m_2=-\frac{3}{2}\)

The equation of the Point-Slope Form is expressed as:

           y-y₁=m(x-x₁)    

(-2,4)  that is   x₁=-2      y₁=4

\(\displaystyle\\Therefore,\\\ y-4=-\frac{3}{2} (x-(-2))\\\\y-4+4=-\frac{3}{2} (x+2)+4\\\\y=-\frac{3}{2}(x)-\frac{3}{2}(2) +4\\\\y=-\frac{3}{2}x -3+4\\\\y=-\frac{3}{2}x+1\)

Answer:

The constant of proportionality for this relationship is 6. The price of 6 bags of candy is $36.

Step-by-step explanation:

Assuming that bag of candies is x and price is y, then the constant of proportionality will be how much y increases for every increase of x by 1.

When x increases by 1, y increases by 6. So, the constant of proportionality for this relationship is 6.

Using this, to find the value of y when \(x=6\), we can multiply 6 by 6 because for every time x increases by 6, y increase by \(6\cdot6\) times.

\(6\cdot6=36\)

So when x = 6, y = 36.

Hope this helped!

Answer:

I hope this helps!

Step-by-step explanation:

Selective Perception and Action Path can help in making a decision on whether to continue or modify the policy by considering biases in perception and developing a clear plan of action based on gathered information and stakeholder input.

In the given scenario, several of the mentioned best practices can be useful for making a decision on how to proceed with the office policy. Let's explore some of them:

1. Deviation from Standard: This best practice suggests considering alternative approaches to the existing policy. You can analyze whether the current policy of bringing people back into the office is still effective and explore other possibilities, such as a hybrid model or flexible work arrangements.

This allows you to deviate from the standard approach and adapt to the current situation.

2. Six Honest Servingmen: This principle encourages asking critical questions to gather relevant information. You can apply this by gathering feedback from employees to understand their perspective on productivity, job satisfaction, and the impact of working in the office versus remotely.

By considering the opinions and experiences of your team members, you can make a more informed decision.

3. So What? What if?: This approach involves considering the potential consequences and exploring different scenarios. You can ask questions such as "What if we continue with the current policy?" and "What if we modify the policy to accommodate remote work?"

By evaluating the potential outcomes and weighing the pros and cons of each option, you can make a decision based on informed reasoning.

4. Meaningful Experience: This principle emphasizes the importance of drawing insights from past experiences. In this case, you can review the productivity data from the two years of remote work and compare it to the three months since the return to the office.

If there is a noticeable decrease in productivity, you can take this into account when deciding whether to continue with the current policy or make adjustments.

5. Action Path: This best practice involves developing a clear plan of action. Once you have considered the various factors and options, you can create an action plan that outlines the steps to be taken.

This could involve conducting surveys, seeking input from team members, analyzing data, and consulting with relevant stakeholders. Having a well-defined action path can help you make an informed decision and communicate it effectively to your team.

By applying these best practices, you can gather information, analyze the situation, consider different perspectives, and develop a well-thought-out plan for how to proceed with the office policy.

Learn more about deviation here: https://brainly.com/question/31835352

#SPJ11

Answer: $3.85 per/gal.

Step-by-step explanation:

$46.20/ 12 =

The statement implies that no matter how many peanuts and raisins are exchanged between Bob and Mark, they will always end up with an equal number of each. This suggests that the quantity of peanuts and raisins each person initially possesses is irrelevant to the final outcome.

This situation can be illustrated by the concept of a fair trade. If Bob and Mark exchange peanuts and raisins in such a way that the quantity exchanged maintains an equal number of each item for both individuals, the result will always be a balanced distribution.
For example, if Bob initially has 5 peanuts and 3 raisins, and Mark has 2 peanuts and 4 raisins, they can exchange 2 peanuts for 2 raisins. After the exchange, Bob will have 3 peanuts and 5 raisins, while Mark will have 4 peanuts and 2 raisins. The overall result is still an equal number of each item for both individuals.
This statement highlights the idea of fairness in the exchange of goods, where regardless of the initial quantities, the outcome ensures equality between the participants.

Learn more about implies here:

https://brainly.com/question/2507296

#SPJ11

Answer:

27 FT

Step-by-step explanation:

Area of square = L × W

= 4.5 ft × 4.5 ft

= 20.25 ft

Area of parallelogram = bh (base times height)

= 1.5 ft × 4.5 ft

= 6.75 ft

Total area = 20.25 ft + 6.75 ft

= 27 ft

HOPE THIS HELPED

Answer: 9/16

Step-by-step explanation:

Let \(x\) be Romeo's delay and \(y\) be Juliet's delay (both in hours).

Then, we need to calculate the area not bounded by the inequalities \(y\leq x+0.25\) and \(y \geq x\) in the unit square with vertices \((0,0), (0,1), (1,0), (1,1)\).

This area turns out to be 9/16.

Answer:

2474

Step-by-step explanation:

(725 x 2) + (512 x 2)

(1450)+(1024)

=2474

Both a frequency table and a frequency distribution are tools used to organize and summarize data, particularly in statistical analysis. They both display the frequency or count of occurrences of each unique value or category in a dataset.

The main difference between a frequency table and a frequency distribution is the type of data they are used to summarize. A frequency table is typically used to display the frequency of occurrence of qualitative or categorical data. It lists the categories or classes of data and the number of observations that fall into each category. For example, a frequency table could display the number of students in a class that received an A, B, C, D, or F grade in a course.

On the other hand, a frequency distribution is typically used to display the frequency of occurrence of quantitative or numerical data. It groups the data into classes or intervals and lists the number of observations that fall into each class or interval. For example, a frequency distribution could display the number of times a coin toss resulted in 0, 1, or 2 heads in a series of 10 tosses.

Learn more about frequency table:

https://brainly.com/question/28931302

#SPJ4

Answer:

It is x=908.

Might be wrong tho so dont jump me

Answer: 908

Step-by-step explanation:

x/4 = 89 + 138

x/4 = 227

x = 227 x 4

x = 908

Answer:

Over the interval [0, 2], the average rate of change of f is greater than that of g. The y-intercept of f is the same as the y-intercept of g.

Step-by-step explanation:

The function i.e mentioned in the question is

\(f(x)=5^x-4\)

Now Placing x = 0, to compute the y-intercept

\(f(0)=5^(0)-4=1-4=-3\)

f(x) y-intercept is -3

As we can see in the given graph the graph of g(x) intersects the y-axis at -3

Therefore the y-intercept of g(x) is -3.

Hence, both functions with respect to the y-intercepts i.e f(x) and g(x) would remain the same

Now At x=2,

So, the value of the function is

\(f(2)=5^2-4=25-4=21\)

The average rate of change of f over the interval [0,2] is

\(m=\frac{f(2)-f(0)}{2-0}\)

\(m=\frac{21-(-3)}{2}=12\)

From the mentioned graph as we can see that the graph of g(x) is crossing through the points (0,-3) and (2,12).

The average rate of change of g over the interval [0,2] is

\(m=\frac{g(2)-g(0)}{2-0}\)

\(m=\frac{12-(-3)}{2}=7.5\)

Therefore this is the correct answer but the same is not provided in the given options

Answer: -12

Step-by-step explanation:

Answer:

6 and 6

Step-by-step explanation:

Answer: 7.07 m/s

Step-by-step explanation:

I took the quiz and that was the correct answer 5 is wrong

The speed of the dog at half of its kinetic energy is 7.07 m/s. The correct option is (B).

When two quantities have some dependence in their values they can be said proportional to each other.

It can be of two types such as direct and indirect.

The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.

Given that,

The present speed of the dog is 10 m/s.

Suppose the mass of the dog be m kg.

Since, the kinetic energy of an object is given as K = 1/2mv².

As per the question, the following expression can be written,

Initial energy, K₁ = 1/2m × 10²

                           = 50m

Final energy, K₂ = K₁/2

                           = 50m/2

                           = 25m

Using the expression for kinetic energy,

1/2mv² = 25m

=> v² = 50

=> v = √50

       = 7.07

Hence, the speed of the dog when its kinetic energy is reduced to half is 7.07 m/s.

To know more about proportionality click on,

brainly.com/question/22620356

#SPJ2

The correct option is option( A).

Using the property of Obtuse Triangle, the triangle with sides { 8, 10, 14 } is an Obtuse Triangle.

Obtuse Triangle:

An obtuse triangle is a triangle with one interior angle greater than 90 degrees. In geometry, a triangle is represented as a closed 2D figure with three sides of equal or unequal length and three angles of equal or unequal measurements.

Obtuse triangle property:

we have given the sides of triangle so, we use the fourth property for check the triangle formed by given sides are obtuse triangle or not .

8² + 10² = 164; 14² = 196 -> obtuse

9² + 12² = 225; 15² = 225 -> not obtuse

10² + 14²= 296 ; 17²= 289 --> not obtuse

12² + 15² = 369; 19²= 361 --> not obtuse

Hence, the required triangle is triangle with sides 8, 10, 14.

To learn more about Obtuse Triangle, refer:

https://brainly.com/question/3250447

#SPJ4

Complete Question:

which set of numbers can represent the side lengths, in millimeters, of an obtuse triangle

A. 8, 10, 14

B. 9, 12, 15

C. 10, 14, 17

D. 12, 15, 19

Answer: the answer is A 8, 10, 14.

Step-by-step explanation: it show below.

To write a number in scientific notation you must know:

1. A number in scientific notation is written as the product of a number (integer or decimal) and a power of 10

2. A number can be converted to scientific notation by increasing the power of 10 by one for each place the decimal point is shifted to the left.

Then so:

The two diagonals divide the parallelogram into four triangles. If I can prove that the two triangles opposite one another are congregant.

The lines which connect the two opposite corners of any quadrilateral is called diagonal.

The two diagonals divide the parallelogram into four triangles. If I can prove that the two triangles opposite one another are congregant. then the corresponding sides of those two triangles must be congregant.

These corresponding sides will help show that the lengths of the line segments on either side of the point of intersection are equal, proving bisection.

To prove triangle congruency, I can use the properties of the angles formed when parallel lines are cut by a transversal and that opposite sides of the parallelogram are congregant.

To know more about diagonal follow

https://brainly.com/question/654982

#SPJ1

Answer:

\( \frac{44}{9} \)

Answer:

x + 2y - 3 = 0

Step-by-step explanation:

Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.

Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2

Slope of line perpendicular to PQ = - 1/2

Since, required line passes through point R(7, - 2) and is perpendicular to PQ.

Therefore, equation of line in point slope form is given as:

\(y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0\)

Therefore x + 2y - 3 = 0 is the required equation of line.

Answer:

Answer:

x + 2y - 3 = 0

Step-by-step explanation:

Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.

Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2

Slope of line perpendicular to PQ = - 1/2

Since, required line passes through point R(7, - 2) and is perpendicular to PQ.

Therefore, equation of line in point slope form is given as:

\begin{gathered}y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0\end{gathered}

y−(−2)=−

2

1

(x−7)

y+2=−

2

1

(x−7)

2(y+2)=−(x−7)

2y+4=−x+7

2y+4+x−7=0

x+2y−3=0

Therefore x + 2y - 3 = 0 is the required equation of line.

hope it helps you

The probabilities of picking an A, a B or a C is given as follows:

167/210.

A probability is obtained by the division of the number of desired outcomes by the number of total outcomes in the context of a problem.

For each event, the probabilities in this problem are given as follows:

To find the or probability, we add the probabilities of the desired outcomes, hence:

P(A) + P(B) + P(C) = 1/5 + 3/7 + 1/6 = (42 + 90 + 35)/210 = 167/210.

More can be learned about probabilities at https://brainly.com/question/24756209

#SPJ1

Answer:

A

Step-by-step explanation:

Given

x² - 5x - 14 = 0

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (- 5)

The factors are - 7 and + 2, since

- 7 × 2 = - 14 and - 7 + 2 = - 5, thus

(x - 7)(x + 2) = 0

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 2 = 0 ⇒ x = - 2

Answer:

A. x=-7, x=2

Step-by-step explanation: