intuitively, what do we expect to have when the error term's variance increases when we estimate a simple linear regression model?

Answer:

x₁(2x₁x₂² - x₂ - 3) - 3x₂

Step-by-step explanation:

The expression you provided is a polynomial in two variables, x₁ and x₂. Let's simplify it step by step:

2x₁²x₂² - x₁x₂ - 3x₁ - 3x₂

To simplify, we can look for common terms that can be factored out:

x₁(2x₁x₂² - x₂ - 3) - 3x₂

Now let's simplify the expression inside the parentheses:

2x₁x₂² - x₂ - 3

Answer:

7.5?

Step-by-step explanation:

Guessing!!! hope it's correct,

Because

Percent Decrease = Percentage Decrease=Starting Value−Final Value|Starting Value|×100

If Haley got a 93% on her first math test and an 86% on her second test. Her percent decrease from Test 1 to Test 2 to the nearest tenth will be 7.5%

Using this formula

Percentage Decrease=Starting percentage−Final percentage÷ Starting percentage×100

Where:

Starting percentage=93%

Final percentage=86%

Let plug in the formula

Percentage Decrease=93%-86%÷93%×100

Percentage Decrease=7%÷86%×100

Percentage Decrease=7.5%

Inconclusion if Haley got a 93% on her first math test and an 86% on her second test. Her percent decrease from Test 1 to Test 2 to the nearest tenth will be 7.5%

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Answer:

a= 1/4 , h=8 , k = -12

Step-by-step explanation:

There is really not much to say.

\(y=\frac{1}{x}\) , \(y=\frac{1}{4x-32}-12\)

Factor the denominator by 1/4.

\(y=\frac{1}{4(x-8)}-12\)

You got your formula: \(y=\frac{a}{x-h}+k\)⇒\(y=a\frac{1}{x-h}+k\)
a= 1/4 means to shrink due to it being fraction.

h=8 means 8 right

k = -12 means 12 down.

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

Explanation:

We replace x with 3 and use PEMDAS to evaluate

8*x+23

8*3+23

24+23

47

Answer:

\(47\)

Step-by-step explanation:

\(8x + 23\)

\(8(3) + 23\)

\(24 + 23\)

\(47\)

The amount of time taken by the radioactive decay for 2 mg will be 35 days.

The mathematical expression f(x)=exp or e^x denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to complex numbers or adapted to other mathematical objects like matrices or Lie algebras.

Given that a 50-mg sample of a radioactive substance decays to 34 mg after 30 days.

The amount of time for the decay of 2 mg will be calculated as,

For radioactive decay:

N = N₀ x exp(-λt)

ln(30/2) = -30 x λ

λ = 0.09

For the amount to become 10mg:

2 = 50exp(-0.09t)

t = (ln(2/50)) / -0.09

t = 35 days

Therefore, the amount of time taken by the radioactive decay for 2 mg will be 35 days.

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a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550

z-scores are used to describe normal distributions

The interpretation of a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550

How to interpret the z-scores

The z-score is given as:

z = 2.5

The mean and the standard deviation are:

Mean = 550

Standard deviation = 100

A z-score is the number of standard deviations above or below the mean.

Hence, a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550

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The number of ways that a cook can arrange 8 of 12 spice jars on a spice rack is; 495 ways.

We want to find the number of ways that a cook can arrange 8 of 12 spice jars on a spice rack.

This is a Combination Problem which follows the formula;

nCr = n!/(r!(n - r)!

12C8 = 12!/(8!(12 - 8)!

Solving this gives;

12C8 = 495 ways

Thus, the number of ways that a cook can arrange 8 of 12 spice jars on a spice rack is 495 ways.

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Answer:

The correct answer is: 19,958,400.

Step-by-step explanation:

I hope this helps! :)

The numerical length of the line segment FG is 10 units.

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Point G is on FH, hence:

FH = FG + GH

Given that GH = 8, FH = 3x + 3, FG = 2x, hence:

3x + 3 = (2x) + 8

x = 5

FG = 2x = 2(5) = 10

The numerical length of the line segment FG is 10 units.

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Answer:

The probability that the dart will hit the white area is 16/25

Step-by-step explanation:

The given circle is composed of three concentric circles as follows;

Small circle with radius, r₁ = 1

Larger circle with radius, r₂ = 3

Largest circle with radius, r₃ = 5

The area of the small circle = π × r₁² = π

The area of the larger circle = π × r₂² = π × 3² = 9·π

The area of the largest circle = π × r₃² = π × 5² = 25·π = The total target area

The total white area = The total target area - The area of the larger circle

The total white area = 25·π - 9·π = 16·π

The probability of hitting the white area = 16·π/25·π = 16/25

Therefore, the probability that the dart will hit the white area = 16/25.

Answer:

Roughly £2

Step-by-step explanation:

multiply the echange rate by 2 , its 378Yen

The number we are looking for is x - 6.

To determine the number that, when subtracted from x, results in 6, we can set up the equation:

x - y = 6

Here, y represents the unknown number we are trying to find. To isolate y, we can rearrange the equation:

y = x - 6

Therefore, the number we are looking for is x - 6.

It's important to note that in mathematics, without specific values or additional information about x, we cannot determine a unique solution. The expression "6 - xx - 66 + x6 - ( x - 6)" you provided is not clear and does not allow us to solve for x or the unknown number directly. If you have specific values or additional context, please provide them, and I'll be glad to assist you further.

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The area of the paperboard that remains is 268.83 square inches.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, a rectangular paperboard measuring 22 in long and 18 in wide has a semicircle cut out.

Area of rectangular paperboard length×width

= 22×18

= 396 square inches

Area of a semicircle = 1/2 ×πr²

Here, r=18/2 = 9 inches

= 1/2 ×3.14×9²

= 127.17 square inches

So, remaining area = 396-127.17

= 268.83 square inches

Therefore, the area of the paperboard that remains is 268.83 square inches.

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Step-by-step explanation:

Since we have given that

Total no. if students= 34

no. of girls = 19

so, percentage of the class are girls is given by

\( \frac{number \: of \: girls}{total \: number \: of \: students} = \frac{19}{34} \times 100 \\ = 55.88 \: percentage\)

Answer:

Initially 18,500 students

Every 1 year

increase by a factor 1.03

Step-by-step explanation:

The missing information is selected from the given options from the drop down menu. The correct answers are : Initially 18,500 students enroll at the university. Every 1 years the number of students who enroll at the university increases by a factor 1.03.

F(t) = 18,500 * (1.03)^t

Answer: \(\frac{5}{9}\ m\)

Step-by-step explanation:

Given

Area of the rectangular piece of paper is \(A=\frac{1}{3}\ m^2\)

Length of the paper is \(l=\frac{3}{5}\ m\)

Suppose width of the paper is \(w\)

Area is the multiplication of length and width

\(\therefore A=lw\\\\\Rightarrow \dfrac{1}{3}=\dfrac{3}{5}\times w\\\\\Rightarrow w=\dfrac{5}{9}\ m\)

Thus, the width of the paper is \(\frac{5}{9}\ m\)

The given statement "an education can be the key to higher earnings" is true, as a U.S. Census Bureau study shows that earnings increase with the level of education.

The study shows that high school graduates earned $30,400 per year, associate’s degree graduates averaged $38,200 per year, and bachelor’s degree graduates averaged $52,200 per year. This indicates that an individual's earnings will increase with their level of education.

As an individual's level of education increases, their earnings also increase. The U.S. Census Bureau study demonstrates that a high school graduate earns less than an associate's degree graduate, and an associate's degree graduate earns less than a bachelor's degree graduate.

This is because education enables an individual to obtain better job opportunities and more specialized skills in their area of interest, which are valued in the job market. As a result, higher education has a significant impact on an individual's income.

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Answer:

P(blue) = 1/3  (Answer)

Step-by-step explanation:

Probability for any event A is given by

p(A) = no of times of happening of event A/ total no of occurrence of all the event given under the situation.

____________________________________

A bag contains 5 blue marbles, 6 red marbles, and 4 green marbles

So, total no of occurrence of all the event given under the situation

one can either pick blue , red or 4 green marbles

Total no. of occurrence of all the event = 5 + 6 + 4 = 15

Now , no of occurrence of selecting blue.

since there are 5 blue marbles, there is chance of selecting blue is 5.

no of occurrence of selecting blue = 5

Therefore,

P(blue) = no of occurrence of selecting blue /total no of occurrence of picking any color ball

P(blue) = 5/15 = 1/3  (Answer)

Answer:

my

Step-by-step explanation:

namajeff

The results of the survey on public transportation usage may be biased when attempting to estimate the usage among all US residents.

The biased factors could include sampling bias, non-response bias, and potential differences between the surveyed city and the entire US population. Sampling bias may occur if the sample of adults in the large US city is not representative of the entire US population. For example, if the city has a higher proportion of public transportation users compared to the national average, the survey results would overestimate the usage among all US residents.

Non-response bias is another potential source of bias. If certain groups of people are less likely to respond to the survey, such as individuals who do not use public transportation, the interests results may not accurately reflect their behavior. This could lead to an underestimation or overestimation of public transportation usage among all US residents.

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Answer:

1.7 x 10^-27

Step-by-step explanation

Move the decimal to the right until it's a single digit number, because you are moving it to the right, it would be a negative number. If you are able to round up then please do. Remember to check your significant figures if you're in chemistry.

Answer:

(x-11)(x-12)

Step-by-step explanation:

To clarify, there was a likely typo written in your question since it is impossible to solve two unknown values with only one equation. I'm supposing that the equation was supposed to be

\( {x}^{2} - 23x + 132\)

The first step is to split the term into factorable terms.

Since the highest power is power of 2, the equation would look like this if factorized:

\((ax + b)(cx + d)\)

If the terms were added properly, the expanded equation would be:

\((ac \times {x}^{2} ) +( (ad + bc) \times x) + (bd)\)

Generally, we do not see decimal values or fractions in factorization with some exceptions. Otherwise, the equation could get very complicated.

In this case, we can determine the following:

\(a \times c = 1\)

\((a \times d) + (b \times c) = - 23\)

\(b \times d = 132\)

First, we can determine a and c to be one since one only has one factor, which is itself.

This leaves us with two equations left

\(b + d = - 23\)

\(b \times d = 132\)

There are two ways to solve the remaining two terms. We can either find the factors or do quadratic equation. Finding the factors is the easier way out here.

b and d will add up to negative values but multiplying these values give positive values. The most likely reason is that b and d are negative values.

Now, we can find the factors of 132.

The factors are 1, 2, 3, 4 , 6, 11, 12, 22, 33, 44, 66 and 132. However, the values flip around.

In fact, the "factors" we are looking for are the negative values of the actual factors. To solve this, we should find two factors that add up to 23.

In this case, 11+12=23.

To verify, 11*12 is also 132.

Since we are looking for the negative values, the values we are looking for are -11 and -12.

The values can be plugged in anywhere in b or d.

After cleaning up, we can plug in the values into our factorization and we will get:

\((1x - 11)(1x - 12)\)

or

\((x - 11)(x - 12)\)

The no. of ways in which the doctor visits her patients during morning rounds = 5!

That means we can only find the number of ways if we n+1 factorial the number of rounds. In this case, the factorial is 1x2x3x4x5= 120

The product of all positive integers less than or equal to n in mathematics is known as the factorial of a non-negative integer, indicated by the symbol n! Additionally, the factorial of n is equal to the sum of n and the subsequent smaller factorial: For instance, According to the convention for an empty product, the value of 0! is 1.

In addition to highlighting the connections between variables, it also enables the isolation and individual analysis of the impacts of changing a single variable. The primary drawback is how challenging it is to explore with more than two parameters or several levels.

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There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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Note that the angles of the triangle whose vertexes are the centers of the circles are  50.48°, 58.99°, 70.53°.

Three circles with radii 4, 5, and 6 from a triangle whose sides are the sum of their radii in pairs.

Thus, the sides of the triangle are

4 + 5, 4 + 6, and 5+6.

⇒ 9,, 10, 11.

To find the interior angles

CosC = a² + b² + c²/ 2ab

Cost C = (9² + 10² -11²) / (2 x9x10)

= 81 + 100 -121/180

= 60/180

= 1/3

C = 70.53°

Similar

Cos A =  (10² + 11² - 9²) / (2 x10x11)

= 100 + 12181 + /180

= 140/220

= 7/11

A = 50.48°

Cos B = 9² + 11² - 10²/ 2x 9 x 11

= 102/198

B = 58.99°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image.

After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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Answer:

uh huh she has 18 rolls of wrapping paper

Answer:

27

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

1000mg=1g

Answer:

C. 0.4691 grams

Step-by-step explanation:

Divide by a thousand

Answer:

It decreases from 45° to 40°

Step-by-step explanation:

The secant angle GBJ is half the difference of the measure of its intercepted arcs, that is

∠ B = \(\frac{1}{2}\) (CDF - GHJ) = \(\frac{1}{2}\)(130 - 40)° = \(\frac{1}{2}\) × 90° = 45°

If arc GHJ is now 50°, then

∠ B = \(\frac{1}{2}\)(130 - 50)° = \(\frac{1}{2}\) × 80° = 40°

That is ∠ B decreases from 45° to 40°

Answer:

D

Step-by-step explanation: