I need help ASAP I wasn’t paying attention and lowkey forgot all of this

We will have the following:

We determine the x-intercepts as follows:

First, we factor the expression; that is:

Now, we equal the expression to 0, that is:

So, the x-intercepts are located at:

We can see it as follows:

The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

Learn more about regression analysis at

https://brainly.com/question/31691955

#SPJ11

Option 2 is correct that is 1.79

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).

The quartiles formula is as follows:

Upper Quartile (Q3) = 3/4(N+1)

Lower Quartile (Q1) = (N+1) * 1/3

Middle Quartile (Q2) = (N+1) * 2/3

Interquartile Range = Q3 -Q1,

1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.

Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.

The data set has 8 values.

hence, n = 8; third quartile: 3/4 (n+1)th term

Q3 =3/4 of a term (9) term

Q3 =27/4 th term

Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)

equals 1.76

Thus Q3 is 1.76 that is option 2

To know more about third quartile click the link:

brainly.com/question/24329548

#SPJ1

It is TRUE that If you want to calculate the total magnification, take the power of the objective (4X, 10X, 40x) and multiply by the power of the eyepiece, usually 10X.

If you want to get the total magnification of a microscope, you need to multiply the magnification of the objective lens by the magnification of the eyepiece lens. The objective lens typically has a magnification of 4X, 10X, or 40X, and the eyepiece lens usually has a magnification of 10X. So, for example, if you are using a 10X objective lens and a 10X eyepiece lens, the total magnification would be 10 × 10 = 100X.

On the other hand, these numbers may be the total magnification for a lower powered stereomicroscope. 10X and 40X are achievable with 10X eyepieces and 1X or 4X objective lenses. Or it can be a zoom stereomicroscope with zoom set to 1X and 4X and 10X eyepieces. To get a total of 4X, you can use the 0.8X zoom setting (which is common) plus the 5X eyepiece. Or you can use the 0.5x auxiliary lens, 0.8x zoom and 10x eyepieces.

Learn more about total magnification

brainly.com/question/14668612

#SPJ4

Complete Question:

True, or False

To get the total magnification take the power of the objective (4X, 10X, 40x) and multiply by the power of the eyepiece, usually 10X.

The probability that all three of the selected homes have a security system is approximately 7.95%.

To find the probability that all three selected homes have a security system, we need to use the multiplication rule for independent events. Since each home is selected at random, the selection of one home does not affect the selection of the other homes.

The probability that the first home selected has a security system is 7/12.
The probability that the second home selected also has a security system is 6/11 (since there are now only 6 homes with security systems left out of the remaining 11 homes).
The probability that the third home selected also has a security system is 5/10 (since there are now only 5 homes with security systems left out of the remaining 10 homes).

Using the multiplication rule, we multiply these probabilities together to get the overall probability that all three selected homes have a security system:

P(all 3 homes have security systems) = (7/12) x (6/11) x (5/10)

P(all 3 homes have security systems) = 0.0795 or 7.95%

Therefore, the probability that all three of the selected homes have a security system is approximately 7.95%.

Know more about the probability click here:

https://brainly.com/question/32117953

#SPJ11

For two matrices to be multiplicative inverse of each other, the product of the matrix must be equal to an identity matrix I.

For two matrices to be multiplicative inverse of each other, the product of the matrix must be equal to an identity matrix I.

Since the 2 by 2 matrix is given, hence the resulting value of I must be a 2 by 2 matrix.

Multiply the row of the first matrix with the column of the second to have:

\(\left[\begin{array}{ccc}-3&7\\-2&5\\\end{array}\right] \left[\begin{array}{ccc}-5&-7\\-2&3\\\end{array}\right] =\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right]\)

Learn more on identity matrix here: https://brainly.com/question/2361951

#SPJ1

Answer:   B

Step-by-step explanation:   \(8x-5x=3x\\3+9=12\\\)

Hope this helps any

Answer:

B. 3x+12

Step-by-step explanation:

8x+3-5x+9

First combine the x. So, 8x-5x=3x

Next combine the 3 and the 9. So, 3+9=12

After you combined like terms your equation now looks like: 3x+12

Hope it helped you.

As per the given data, loan amount is $35,000 with 2% simple interest for the time period of 8 years then monthly payment is equal to

$422.92.

As given in the question,

Loan amount taken from the bank is equal to $35,000

Simple interest rate is 2%

Time period = 8 years

Total interest paid is equal to

= Loan amount × Interest rate × time period

= 35,000 × 2% × 8

= (35,000 × 2 × 8) / 100

= $5600

Total amount to be paid

= Loan amount + Interest amount

= $35,000 + $ 5,600

= $ 40,600

Monthly payment done based on given interest and time period

= $40,600 / ( 8 × 12 )

= $ 40,600 / 96

= $ 422.92

Therefore, for the given data, loan amount is $35,000 with 2% simple interest for the time period of 8 years then monthly payment is equal to $ 422.92.

The complete question is:

Attending the university of Houston main campus ,the bank agrees to give you a loan of $35,000 with 2% simple interest over 8 years. How much will your monthly payments be?

Learn more about simple interest here

brainly.com/question/25845758

#SPJ4

Answer:

Step-by-step explanation:

Because both points have -1 as X they are both located on the same line

This gives them no slope

The morbidity rate is 500 cases per 100,000 people.

The morbidity rate is a measure of the number of cases of a particular disease within a specific population. In this scenario, out of 100,000 individuals exposed to the bacterial pathogen, 500 individuals develop the disease. Therefore, the morbidity rate is calculated by dividing the number of cases (500) by the total population (100,000) and multiplying by 100,000 to express it per 100,000 people.

Morbidity rate = (Number of cases / Total population) x 100,000

In this case, the calculation would be:

Morbidity rate = (500 / 100,000) x 100,000 = 500 cases per 100,000 people.

This means that for every 100,000 individuals exposed to the bacterial pathogen, there are 500 cases of the disease. The morbidity rate provides an important measure of the impact and prevalence of a disease within a population, allowing for comparisons and assessments of public health.

Learn more about Number here:

https://brainly.com/question/3589540

#SPJ11

rotation then reflection.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

Answer:

Yes

Step-by-step explanation:

ab = ba when a = 2 and b = 3

(2)(3) = (3)(2)

6 = 6

Best of Luck!

Answer:

41+28=69

Step-by-step explanation:

Add the tens values: 40 + 20 = 60

Add the ones values: 1 + 8 = 9

Combine: 60 + 9 = 69

Answer: (1,2)

Step-by-step explanation:

1)

x+y=3

y=-x+3

x | 0 | 3 |

y | 3 | 0 |

2)

3x+y=5

y=-3x+5

x | 0 | 2 |

y | 5 | -1 |

Answer:

Australian dollar = n * 100 / 88

Step-by-step explanation:

n = American dollars

1 Australian dollar = 88 cents American

K=basketball, S= baseball

10K

5S

3 K & S

26 total

P(K) = 10/26, P(S) = 5/26 P(K^S) = 3/26

P(K v S) = P(K) + P(S) - P(K^S) = 10/26 + 5/26 - 3/26 = 12/26 = 6/13

Probability of randomly getting a student who plays either basketball or baseball = 6/13

Answer:

$1,220

Step-by-step explanation:

Since we're dealing with the average, we need to find the mean of the seven amounts.

Thus, we can use (1,790 + 988 + 1,355 + 1,012 + 988 + 975 + 1,432)/7, which gives us $1,220.

Answer:

If 5 is zero then (x - 5) is a factor.

Only 4. has this factor.

Step-by-step explanation:

Answer:

30 cubic yards

Step-by-step explanation:

You will multiply 13 by two because there is two sides of 13ft

13 x 2 = 26

Then do the same thing with 31, so 31 multiply by 2

31 x 2 = 62

After that add 62 and 26

62+26=88

Then divide 88 by 3

88÷3=29.9

after that you will round 29.9 by the nearest 10 which is 30

Options A and B are the best choices for showing the graphs of f(x) = x^2 and g(x) = (1/3)x^2. These options allow us to clearly see the differences between the two functions, with f(x) increasing more rapidly than g(x) as we move away from the vertex.

To answer your question, we need to graph both functions f(x) = x^2 and g(x) = (1/3)x^2.
First, let's consider the graph of f(x) = x^2. This is a quadratic function that opens upward (since the coefficient of x^2 is positive). The vertex of the parabola is at (0, 0), and the shape of the graph is symmetric about the y-axis. As we move away from the vertex in either direction, the function increases rapidly at first and then more slowly.
Now let's look at g(x) = (1/3)x^2. This function is also a quadratic with a positive coefficient of x^2, so it also opens upward. However, because the coefficient is smaller than 1, the function increases more slowly than f(x) as we move away from the vertex. The vertex of the parabola is also at (0, 0), and the shape is symmetric about the y-axis.
To visualize these graphs, we can use a graphing calculator or graph paper. Here are some options that could show the graphs of f(x) and g(x):

Option A:
This option shows f(x) in red and g(x) in blue. The graphs are clearly distinguishable, with f(x) increasing more rapidly than g(x) as we move away from the vertex.
Option B:
This option shows f(x) in blue and g(x) in red. The graphs are still distinguishable, but the colors are reversed.
Option C:
This option shows f(x) and g(x) in the same color (red). The graphs overlap quite a bit, making it difficult to see the differences between them.
Option D:
This option shows f(x) and g(x) in different shades of the same color (light blue and dark blue). The graphs are distinguishable, but the contrast between them is not as strong as in options A and B.

To know more about graphs visit :-

https://brainly.com/question/30444906

#SPJ11

Math is considered to have a sequential learning pattern because concepts and skills are introduced in a specific order, building upon previously learned material.

In math, concepts and skills are typically organized in a sequential manner, where each new topic builds upon what has been previously learned. This sequential learning pattern allows students to develop a solid foundation and gradually progress to more advanced topics.

For example, in elementary school, students first learn basic arithmetic operations like addition and subtraction before moving on to multiplication and division. These foundational skills are essential for understanding more complex mathematical concepts later on, such as algebra, geometry, and calculus. By following a sequential learning pattern, students can gradually develop their mathematical understanding and problem-solving abilities. They are able to connect new concepts to what they have already learned, reinforcing their knowledge and enabling them to apply it in different contexts. This sequential approach also ensures that students have the necessary prerequisite knowledge and skills to comprehend more advanced mathematical concepts. It helps create a logical progression in mathematical education, allowing students to build upon their previous knowledge and continually expand their mathematical abilities.

learn more about calculus here:
https://brainly.com/question/22810844

#SPJ11

The value of z* should be used to construct a 97 confidence interval of a population mean is 2.17.

A degree of uncertainty and certainty in a sample process is measured by confidence intervals. They can choose from a variety of probability limitations, the most frequent becoming a 95% or 99% confidence level.

Some characteristics of confidence interval are-

Now, according to the question;

The confidence level is given 97%.

Thus, the crucial value of z for a 97% confidence interval is 2.17, as determined by a z score table, which is as follows:

\(P(-2.17 < Z < 2.17)=0.97\)

Therefore the obtained probability for the z-score of 2.17 is 0.97.

To know more about the confidence interval, here

https://brainly.com/question/15712887

#SPJ4

Answer:

2x^2+2x-12

a=2

b=2

c=-12

Answer:

18.9 cm

Step-by-step explanation:

Pythagorean Theorem --> A² + B² = C²

2² + B² = 19²

4 + B² = 361

B² = 357

√357 --> 18.89 --> 18.9

The measure of the other leg to the nearest tenth will be 18.9 centimeters.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The hypotenuse of a right triangle measures 19 cm and one of its legs measures 2 cm.

Let the other leg be 'x'. Then the measure of the other leg will be given as,

19² = x² + 2²

361 = x² + 4

x² = 361 - 4

x² = 357

Take square root on both sides, then we have

x = √357

x = 18.8944

x ≈ 18.9 cm

The measure of the other leg to the nearest tenth will be 18.9 centimeters.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

A parametric description of the solution set of a linear system is the same as solving the system is the false statement.

If a linear system has at least one solution, only then can the solution set be stated using a parametric description. The set of ordered pairs that make up the solution to an equation with two variables is referred to as the solution set. You'll discover what a solution set is in this tutorial and witness an example. By combining two equations with two variables into one equation with one variable, we can solve a system of equations. Since there are two variables in each equation in the system, replacing a variable with an expression can help minimize the number of variables in an equation.

Learn more about linear system

brainly.com/question/27664510

#SPJ4

To make your data more conclusive by conceding some sources of experimental error, you can acknowledging and accounting for potential sources of experimental error, such as measurement uncertainties, instrument limitations, and environmental factors.

In scientific experiments, acknowledging and conceding potential sources of experimental error means recognizing and accepting factors that could introduce uncertainty or variation in the data. This includes factors like imprecise measurements, limitations of the instruments or equipment used, and environmental conditions that may affect the results.

By openly acknowledging these potential errors, researchers can demonstrate transparency and a thorough understanding of the limitations of their study, leading to more robust and conclusive data analysis.

Learn more about experiments https://brainly.com/question/1347425

#SPJ11

Answer:

Step-by-step explanation:

V(x) = x3 + 2x2 - 11x - 12

To factor, you want 3 numbers that multiply to give -12 (the constant term) and add to give 2 (coefficient of the x2 term).  The answer is 4, -3, and 1: (4)(-3)(1) = -12, 4 + (-3) + 1 = 2.  So the volume polynomial factors to:

V(x) = (x+4)(x-3)(x+1)

Now the volume of a rectangular box is:

V = Length*Width*Height = (x+4)(x-3)(x+1)

So let's pick height = (x+1) = 4.5  (you could pick any one of the three factors).

x+1 = 4.5

x = 3.5

Length = (x+4) = 3.5+4 = 7.5

Width = (x-3) = 3.5 - 3 = 0.5

The box's dimensions are 7.5 m by 0.5 m by 4.5 m

Answer:

Use "photo math."

Step-by-step explanation:

Answer:

\(\sf -3xy\left(2x^2-3xy+4y^2\right)\)

Step-by-step explanation:

\(\sf -6x^3y+9x^2y^2-12xy^3\)

To factor the GCF of 6x³y + 9x²y2 - 12xy³ let's apply the exponent rule:-

\(\boxed{\sf a^{b+c}=a^ba^c}\)

\(\boxed{\sf x^3y=xx^2y,\:x^2y^2=xxyy,\:xy^3=xyy^2}\)

\(\sf -6xx^2y+9xxyy-12xyy^2\)

Rewrite,

\(\sf 2\cdot \:3xx^2y+3\cdot \:3xxyy+4\cdot \:3xyy^2\)

Now, factor out the common term \(\sf -3xy\):-

__________________________