Which of the following are remote interior angles of <1? Check all that apply.

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To compare the effect of an increase in GNP when the interaction term is included versus when it is not included in the regression equation, we can calculate the difference in the coefficient of GNP in both cases.

When the interaction term is included, the coefficient of GNP is -1.10. When the interaction term is not included, the coefficient of GNP remains the same.

The effect on IMR of an increase in GNP by $1,000 can be calculated by multiplying the coefficient of GNP by the increase in GNP. Thus, in the case where the interaction term is included, the effect would be -1.10 * 1 = -1.10.

To find the difference in the effects, we compare the two cases:

Difference = Effect with interaction term - Effect without interaction term

Difference = (-1.10) - (-1.10) = 0

Therefore, the effect on IMR of an increase in GNP by $1,000 is the same regardless of whether the interaction term is included or not. The difference is 0, indicating that there is no additional impact on IMR when considering the interaction between GNP and FemLit.

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Answer:

$15.60

Step-by-step explanation:

Hey there!

In order to solve this word problem, we need to find out how much pencils there are first

To do that, we need to take the total amount of pencil weight, which is 44.4 ounces, and divide that by the weight of one pencil, which is 1.85

44.4 divided by 1.85 is 24

So now we know that there are 24 pencils total in that store

What they are asking is how much does it cost to buy all the pencils in the store

It is already given that one pencil costs $0.65 and we found out that there are 24 pencils in total

So what we need to do is multiply 24 and 0.65 to find out the total cost of all the pencils in the store

24 times 0.65 is 15.60

So the cost to buy all the pencils at the store is $15.60

Answer:

x = 10

\( m\angle DCE=55\degree \)

Step-by-step explanation:

Since, CE bisects angle DCF, therefore:

\( m\angle ECF= m\angle DCE\)

\( 6x-5=4x + 15 \)

\( 6x-4x=5 + 15 \)

\( 2x=20 \)

\( x=\frac{20}{2} \)

\( x=10\)

\( m\angle DCE=(4x+15)\degree \)

\( m\angle DCE=(4\times 10+15)\degree \)

\( m\angle DCE=(40+15)\degree \)

\( m\angle DCE=55\degree \)

Answer:

C

Step-by-step explanation:

f(x)=0 at points of intersection of the graph of the function with x-axis.

From the diagram you can see that the graph of the function intersects x-axis at three points:

somewhere between -3 and -2;

somewhere between -1 and 0;

at x=1.

Since x=1 is the value of x from the domain, then correct choice is option C.

Answer:

C

Step-by-step explanation:

f(x)=0 at points of intersection of the graph of the function with x-axis.

From the diagram you can see that the graph of the function intersects x-axis at three points:

somewhere between -3 and -2;

somewhere between -1 and 0;

at x=1.

Therefore, since x=1 is the value of x from the domain, then correct choice is option C.

Answer:

10. D

9. A

8. B

Step-by-step explanation:

Answer:

15000

Step-by-step explanation:

200 x 75

= 75(100) + 75(100)

= 7500 + 7500

= 15000

To solve the multiplication problem 200 x 75, you can use the traditional method of multiplication. Here are the steps:

Step 1: Write the two numbers one below the other with the units digits aligned.

200

x 75

Step 2: Multiply the units digit of the second number by the first number.

200

x 75

-----

...

5 x 0 = 0

Step 3: Move to the next digit of the second number and multiply it by the first number. Add the result to the previous answer, carrying over any excess digits.

200

x 75

-----

...

5 x 0 = 0

7 x 0 = 0, carry over 3

5 x 2 = 10, add 3 = 13

Step 4: Move to the next digit of the second number and repeat the process, carrying over any excess digits.

200

x 75

-----

...

5 x 0 = 0

7 x 0 = 0, carry over 3

5 x 2 = 10, add 3 = 13

7 x 0 = 0, carry over 1

5 x 0 = 0, add 1 = 1

Step 5: Continue until all digits of the second number have been multiplied by the first number and added together.

200

x 75

-----

15000

03000

+00000

-----

15000 + 3000 = 18000

Therefore, 200 x 75 = 15,000 + 3,000 + 0 = 18,000.

Hope it is good enough and understandble

Answer: 8

Step-by-step explanation:

\(\frac{180(n-2)}{n}=135\\180(n-2)=135n\\180n-360=135n\\-360=-45n\\n=\boxed{8}\)

Answer:

37.5 units²

Step-by-step explanation:

Please see the attached pictures for full solution.

*The shoelace method can be used to find the area of any polygons given its coordinates. Ensure that if the polygon has x number of points, (x+1) coordinates are written down in the formula, in which the last coordinate written down is the same as the 1st coordinate. (A triangle has 3 points so 4 coordinates were written down)

In method 2, the length/ height/ base/ breadth can be found by subtracting its x and y coordinates. Alternatively, count the number of squares. Each square would be 1 unit.

A story that can be represented using the equation y=x+1/5x is "John has an apple and he cut another apple into 5 equal parts and took on part. What's the rural fraction of apple that he has?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

In this case, if John has an apple and he cut another apple into 5 equal parts and took on part.

This can be illustrated as:

y = x + 1/5x

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The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.

The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.

For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).

The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).

To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.

The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

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Answer:

x = 16°

Step-by-step explanation:

The triangles are approximately congruent

90 + 66 = 156

180 - 156 = 24

(x + 8) = 24

x = 16°

check

(16 + 8) = 24

90 + 66 + 24 = 180

Answer: x=16

Explanation:

The triangles shown are congruent and both of the triangles should have the sum of the angles as 180°. The equation should be (x+8)+66+90=180. Add the like terms to result with x+164=180. Subtract 156 to both sides to result with x=16.

Statistical hypothesis testing employs the null and alternate hypotheses.

The alternative hypothesis of a test expresses the prediction of an effect or relationship based on your study, while the null hypothesis of the test does not yet predict an effect or an association between the variables.

A statement that there is no relationship between two variables is called a null hypothesis. Another hypothesis is that the two variables are statistically correlated.

Alternative unilateral (directional) or the bilateral (non-directional) hypotheses are also possible. Simple, complex, true, and false are the four main categories of null hypotheses. If the p-value is greater than the statistical significance level, null hypothesis is preferred.

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1. No This survey does not mean that cell phones are good for your health.

2. The factor that can be used as the best explanation for the strong correlation would be the general economic conditions of the people.

When one variable's value rises, the other variable's value also rises in a similar way. For instance, a student's exam score tends to be greater the more hours they study. Exam results and study time have a significant positive link.

A strong correlation, also known as a high correlation, indicates that two or more variables have a significant relationship with one another, whereas a weak or low correlation indicates that the variables are rarely associated.

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complete question

A survey of the world's nations in 2004 shows a strong positive correlation (hence, a positive association) between percentage of the country using cell phones and life expectancy in years at birth.

a. Does this mean that cell phones are good for your health? select one: ____ yes ____ no

b. What might best explain the strong correlation (as a lurking variable)?

Select one:

_____ Percent of young people

____ General economic conditions of the country

____ Percent of pop. living in cities

Answer:

The Left side (0) is greater then the right side (-15)

Step-by-step explanation:

(x - 3) is greater than -3(3+2)

I believe the answer is 200.

A) \(7x(-5)\)

A multiplicação de um numero positivo por um numero negativo resulta em um numero negativo: \((+) x (-)=(-)\)

\((7x5)\)

Multiplique os valores

\(-35\)

resposta para  A: \(-35\)

B)\((-9)x(-8)\)

A multiplicação dois números negativos resulta em um numero positivo : \((-)x(-)=(+)\)

\(9 x 8\)

Multiplique os valores

\(72\)

Resposta para B :\(72\)

C)\((-15) : 5\)

A divisão de um numero negativo por um positivo resulta em um numero negativo: \((-):(+)=(-)\)

\(-(15:5)\)

Divida os números

\(-3\)

Resposta para C: \(-3\)

D) \(125 : 25\)

Divida os números

\(5\)

Resposta para D: \(5\)

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Answer:

23,29,31,37,41,43,47,53,59,61 and 67.

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

23, 29, 31, 37, 41, 43, 47, 53, 61, 67

Step-by-step explanation:

Im not entirely sure but I believe I'm correct here.

The first step is to convert angle A = 23°23' to degrees. Recall, the interpretation of angle A is 23 degree 23 minutes. Also,

1 degree = 60 minutes

Let x = 23 minutes. Thus, we have these equations

1 = 60

x = 23

By crossmultiplying,

60x = 23

x = 23/60 = 0.3833

Thus,

angle A = 23 degrees + 0.3833 degrees = 23.3833 degrees

The triangle is shown below

Taking angle A as the reference angle,

hypotenuse = 42.75

opposite side = a

adjacent side = b

To find a, we would apply the sine trigonometric ratio which is expressed as

Sin# = opposite side/hypotenuse

Sin 23.3833 = a/47.25

By crossmultiplying,

a = 47.25Sin 23.3833

a = 18.75

To find b, we would apply the cosine trigonometric ratio which is expressed as

Cos# = adjacent side/hypotenuse

Cos 23.3833 = b/47.25

By crossmultiplying,

b = 47.25Cos 23.3833

b = 43.37

The given triangle is a right triangle. This means that one of its angles is 90 degrees. Thus,

angle C = 90 degrees

The sum of the angles in a traingle is 180 degrees. This means that

angle A + angle B + angle C = 180

23.3833 + angle B + 90 = 180

angle B + 113.3833 = 180

angle B = 180 - 113.3833

angle B = 66.62 degrees

the actuarial expression for the account balance after the final deposit is made as:\(FV = $5000 \times [(1.03^{(n-10)}+1)(1.02)^{(204)}-1]/(0.02) + $5000 \times [(1.03^{10}+1)(1.02)^{(104)}-1]/(0.02)\)The account balance after the final deposit is made is \($62,297.36.\)

The account balance after the final deposit is made, the formula for the future value of an annuity due with a growth rate.

Actuarial expression for the account balance after the final deposit is made:

A be the annual deposit amount, n be the number of deposits, i be the nominal annual interest rate, m be the number of compounding periods per year, and g be the annual growth rate of the deposits.

The formula for the future value of an annuity due with a growth rate is:

\(FV = A \times [(1+g)\times (1+i/m)^{((n-1) \times m)+1}] / (i/m)\)

Louis' situation, we have:

\(A = $5000\) for the first 10 years, and then \(A = $5000 \times 1.03^{(n-10)}\) for the remaining 20 years.

n = 30 years

i = 8% nominal annual interest rate, compounded quarterly, so i = 2% per quarter

m = 4 quarters per year

g = 3% annual growth rate for each deposit after the 10th year

The account balance after the final deposit is made:

The above actuarial expression and substituting n=30, we get:

\(FV = $5000 \times [(1.03^{20}+1)(1.02)^{80}-1]/(0.02) + $5000 \times [(1.03^{10}+1)(1.02)^{40}-1]/(0.02)\)

Simplifying this expression gives:

\(FV = $5000 \times (1.03^{20} \times 1.02^{80} + 1.03^{10} \times 1.02^{40})\)

Using a calculator, we get:

\(FV = $5000 \times (10.4619 + 1.7958)\)

\(FV = $62,297.36\)

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Answer:

Step-by-step explanation:

1. Blank= 5

2. Blank= 10 (I believe)

3. Blank= 8

4. Blank= 13 (I believe)

5. Blank= 12

6. Blank= 7

Hope it helps!

OwO

The system of equations that matches the given graph is:

A. 3x - 6y = 12

9x - 18y = 36

To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.

Looking at the options provided:

A. 3x - 6y = 12

9x - 18y = 36

B. 3x + 6y = 12

9x + 18y = 36

Let's analyze the equations in each option:

For option A:

The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.

The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.

In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.

For option B:

The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.

The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.

In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.

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Answer:

4

Step-by-step explanation:

Answer:

4.

Step-by-step explanation:

Answer:

The option which is:

On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10).

Step-by-step explanation:

At first we should know the rules of translation

1) {f(x) + a} is f(x) shifted up (a) units

2) {f(x) – a} is f(x) shifted down (a) units

3) {f(x + a)} is f(x) shifted left (a) units.

4) {f(x – a)} is f(x) shifted right (a) units.

Given:

f(x) = x²

g(x) = (x-5)² + 1

By comparing [ the translation from f(x) to g(x) ] with the rules of translation

We can deduce that g(x) is the image of f(x) by translation 5 units right and 1 unit up ( rules 1 and 4)

See the attached figure which represent the graph of f(x) and g(x)

As shown g(x) goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10)

Answer:

11/5

Step-by-step explanation:

You multiply 2 by 5 to give us 10. Add 1 the numerator of the equation giving us 11. Then we say 11/5

Answer:

The answer is 11/5

Step-by-step explanation:

Simply multiply 5 by 2 which gives us 10 and 1 + 10 is 11. Keep the denominator as it is so 11/5

The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

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The length of the arc Intercepted by an angle measuring 3.9 radians in a circle with radius 9.7 is approximately 37.8 units.

The length of the arc intercepted by an angle of 3.9 radians in a circle with radius 9.7, we can use the formula:

arc length = radius x angle in radians

So, we can substitute the given values and calculate:

arc length = 9.7 x 3.9

arc length = 37.83

Rounding the result to the nearest tenth, we get:

arc length ≈ 37.8

Therefore, the length of the arc intercepted by an angle measuring 3.9 radians in a circle with radius 9.7 is approximately 37.8 units.

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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