Which of the following is the first correct step to write the above equation in the form (x - p)2 = 9, where p and q are integers?

x2 - 14x + 41 + 8 = 0 + 8

x2 - 14x + 41 + 9 = 0 + 9

x2 - 14x + 41 - 8 = 0 - 8

x2 – 14x + 41 - 9 = 0 - 9

Answer:

**Answer:**

*The correct answer is the first option*

**Step-by-step explanation:**

__Quadratic Equation__

The standard form of a quadratic equation is

Sometimes we need to change the expression of the same equation to the form

To accomplish that change, we usually modify the left-hand expression to make it look like the square of a binomial.

The given quadratic equation is

Recall the square of a binomial is

The first term is already present. The second term gives us the value of p:

Solving

Now we need to produce the third term . We only have 41, thus we need to add 8 to both sides of the equation:

The correct answer is the first option

Caroline needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 2.75 hours and charged her $114 for parts. The total was $320.25. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.

Math Graded Assignment Unit Test, Part 2 Measures of Center and Spread(Score for Question 2: ___ of 5 points)2. Consider the following line plot.2468(a) What is the general trend of the graph?(b) What is the median of the data? Explain.(c) What is the mean of the data? Explain. Round to the Nearest tenth.(d) Would the mean or median be affected more with a data point of 20? Explain.Answer:P

A certain test preparation course is designed to help students improve their scores on the MCAT exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 6 students' scores on the exam after completing the course: 19, 15, 9, 17, 7, 16. Using these data, construct a 95% confidence interval for the average net change in a students's score after completing the course. Assume the population is approx. normal.Step 1. calculate the sample mean for the given sample data (round answer to 1 decimal place)Step 2. Calculate the sample standard deviation for the given sample data ( round answer to 1 decimal place)Step 3. Find the critical value that should be used in constructing the confidence interval. ( round answer to 3 decimal placed)Step 4. construct the 95% confidence interval (round answer to 1 decimal place)

If AB = 3, AD= 5, andDE= 6, what is the length of BC?

What is the next number after 3 -6 12 4 20

Math Graded Assignment Unit Test, Part 2 Measures of Center and Spread(Score for Question 2: ___ of 5 points)2. Consider the following line plot.2468(a) What is the general trend of the graph?(b) What is the median of the data? Explain.(c) What is the mean of the data? Explain. Round to the Nearest tenth.(d) Would the mean or median be affected more with a data point of 20? Explain.Answer:P

A certain test preparation course is designed to help students improve their scores on the MCAT exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 6 students' scores on the exam after completing the course: 19, 15, 9, 17, 7, 16. Using these data, construct a 95% confidence interval for the average net change in a students's score after completing the course. Assume the population is approx. normal.Step 1. calculate the sample mean for the given sample data (round answer to 1 decimal place)Step 2. Calculate the sample standard deviation for the given sample data ( round answer to 1 decimal place)Step 3. Find the critical value that should be used in constructing the confidence interval. ( round answer to 3 decimal placed)Step 4. construct the 95% confidence interval (round answer to 1 decimal place)

If AB = 3, AD= 5, andDE= 6, what is the length of BC?

What is the next number after 3 -6 12 4 20

the census is 60 because it’s obviously when you divided

The answer should be 0.70

An ordinary **Regression** model that treats the response Y is (a) True False, (w) True

What is Regression?

A **statistical** method called regression links a dependent **variable** to one or more independent (explanatory) variables.

A regression model can demonstrate whether changes in one or more of the **explanatory variables** are related to changes in the dependent variable.

A) Models for numerical response variable, like **ANOVA** and linear regression are special cases of GLMs

for these model the following holds

1. Random component has a normal distribution

2. Systematic component α+β₁x₁+β₂x₂+...........βₓxₓ

3. link function = identity (g(µ)=µ)

GLMs can generalise these models with response Y as normally distributed, hence the statement is True

B) With a GLM. Y does not need to have a **normal distribution** and one can model a function of the mean of Y instead of just the mean itself. but in order to get ML estimates the **variance** of Y must be small. This small variance of Y is the reason for ML estimator to be the best one. hence the statement is false.

An ordinary **Regression** model that treats the response Y is (a) True False, (w) True

To learn more about **Regression** Visit:

#SPJ4

**Answer:**

x = 9 y = -4

**Step-by-step explanation:**

4x + 3y = 24 . (-5) ------> -20x -15y = -120 (A)

6x + 5y = 34 . (3) -------> 18x + 15y = 102 (B)

(A) + (B) ----------> -2x = -18 ---------> x = 9

4.9 + 3y = 24

3y = 24 - 36

3y = -12

y = -4

They paid their pitcher $10 million and their shortstop $2 million

**Step-by-step explanation:**

16. d-4 = -7

or, d = -7+4

or, d = -3

therefore, d = -3.

17. c-34 = 20

or, c = 20+34

or, c = 54

therefore, c = 54

18. a-4 = -18

or, a = -18 + 4

or, a = -14

therefore, a = -14

19. r-3 = 8

or, r = 8+3

or, r = 11

therefore, r = 11

20. z-100 = 100

or, z = 100+100

or, z = 200

therefore, z = 100

21. 5 = d - 1

or, 5+1 = d

or, 6 = d

or, d = 6

therefore, d = 6