an _____ rational/irratiomal number must be chosen based on the rule

Answer: $1.05

Step-by-step explanation:

Divide 13.65 by 13.

13.65 / 13 = 1.05

Answer:

180 square feet

Step-by-step explanation:

A rug that is geometrically similar to her room floor is one that has the same size as her room floor.

The floor has dimensions 12 feet by 15 feet.

The area of the floor and hence, the rug is:

A = 12 * 15 = 180 square feet

She should buy a rug that is 180 square feet

To estimate the regression in the given model Yi = B0 + B1Xi + B2Ziui, where the variance of Ui is Σi^2 = Σ(zi^2), you can use the method of weighted least squares (WLS). The weights for each observation can be determined by the inverse of the variance of Ui, that is, wi = 1/zi^2.

In the given model, Yi = B0 + B1Xi + B2Ziui, the error term Ui is assumed to have a constant variance, given by Σi^2 = Σ(zi^2), where zi represents the individual values of Z.

To estimate the regression coefficients B0, B1, and B2, you can use the weighted least squares (WLS) method. WLS is an extension of the ordinary least squares (OLS) method that accounts for heteroscedasticity in the error term.

In WLS, you assign weights to each observation based on the inverse of its variance. In this case, the weight for each observation i would be wi = 1/zi^2, where zi^2 represents the variance of Ui for that particular observation.

By assigning higher weights to observations with smaller variance, WLS gives more importance to those observations that are more precise and have smaller errors. This weighting scheme helps in obtaining more efficient and unbiased estimates of the regression coefficients.

Once you have calculated the weights for each observation, you can use the WLS method to estimate the regression coefficients B0, B1, and B2 by minimizing the weighted sum of squared residuals. This involves finding the values of B0, B1, and B2 that minimize the expression Σ[wi * (Yi - B0 - B1Xi - B2Ziui)^2].

By using the weights derived from the inverse of the variance of Ui, WLS allows you to estimate the regression in the presence of heteroscedasticity, leading to more accurate and robust results.

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Answer:

Graph A.

Step-by-step explanation:

Given the inequality: \(y\leq \dfrac{1}{4}x-3\)

Since the sign is "less than or equal to", the line cannot be dotted. Therefore, Options C and D are incorrect.

Since the sign is a "less than" sign, the required region must be below the line. Therefore, the graph which shows the given inequality is Graph A.

Answer:

I have given the rules and a sheet that should help you with this question :)

Step-by-step explanation:

I will give you the rules to help you figure it out...

So/h

 ^

Sin (°) = opposite/hypotenuse

Ca/h

 ^

Cos (°) = adjacent/hypotenuse

To/a

  ^

Tan(°) = opposite/ adjacent

Hope this helps :)

From the information given in the Poisson Distribution, the probability that  that no more than three customers arrive that is P (X≤3) = 0.0817.

What is a Poisson Distribution?

The Poisson distribution is a discrete probability distribution in probability theory and statistics that articulates the likelihood of a specific number of events happening in a fixed interval of time or space if these events occur with a particular frequency mean rate and regardless of the time since the last event.

What Are the Poisson Distribution's Assumptions?

To be correct, all events must be independent of one another, the pace of occurrences must be steady across time, and events cannot occur concurrently. Furthermore, the mean and the variance will be equal.

What is the justification for the above result?

According to a Poisson distribution, seven people come at a checkout counter in a department store every hour on average. i.e λ=7

Probability (P) that no more than three customers arrive is notated as P(X≤3)

= P(X=0) + P(X=1) + P(X=2) + P(X=3)

= Poisson (3,7,1)  

= 0.0817

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For given division,

                                  416 is dividend

                                   8 is divisor

                                   0 is remainder   and

                                   52 is quotient

Long division:

                       long division is a standard division algorithm suitable for dividing multi-digit numbers that is simple enough to perform by hand.

                       In the case of long division of numbers, the remainder is always smaller than the divisor. We can verify the quotient and the remainder of the division using the division formula,

                 Dividend = (Divisor × Quotient) + Remainder.

The above formula is also known as division algorithm.

Example:

                       a ÷ b

a is called dividend and b is called divisor

For given question,

                   416 ÷ 8

      that is,

                                      8 )  416  ( 52

                                            40

                                               16

                                               16

                                                0

416 is dividend

8 is divisor

0 is remainder

and 52 is quotient

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Tobacco use is linked to several diseases, including asthma, esophageal cancer, mouth cancer, liver cancer, and emphysema.

Tobacco use is a major public health concern due to its association with various diseases. By exploring the diseases linked to tobacco use, we can raise awareness about the harmful effects of tobacco and promote healthier choices.

Asthma: Tobacco smoke contains numerous harmful chemicals that can trigger or worsen asthma symptoms.

Esophageal Cancer: Tobacco use, especially smoking and smokeless tobacco, significantly increases the risk of developing esophageal cancer.

Mouth Cancer: Smoking and smokeless tobacco use are major risk factors for oral cancers, including cancers of the mouth, tongue, lips, and throat.

Liver Cancer: Although primarily associated with alcohol consumption, tobacco use also contributes to the development of liver cancer.

Emphysema: Emphysema is a progressive lung disease characterized by the destruction of lung tissue and impaired breathing.

The association between tobacco use and diseases such as asthma, esophageal cancer, mouth cancer, liver cancer, and emphysema highlights the urgent need for individuals to quit or avoid tobacco use.

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To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

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Answer:

(2,-28) TO EASY, use desmos graphing calculator.

The probability that both marbles are red is 0.33

The probability formula defines the likelihood of the happening of an event. It is the ratio of favorable outcomes to the total favorable outcomes.

P(A) = Number of favorable outcomes/ total no. of possible outcomes

We have the information from the question:

Total marbles are there in bag is = 6

Red Marbles = 2

Green Marbles = 2

Yellow Marbles = 2

To find the probability that both marbles are red.

Now, According to the question:

The probabilities that are desirable for our cases are:

P(RR) = 2/6 = 1/3 = 0.33

Hence, The probability that both marbles are red is 0.33

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Answer:

2 5/7

Step-by-step explanation:

In order to solve this problem you must multiply the weight of the original puppy by the 1 2/7 times the second puppy weighs, giving you 2 5/7.

The best way to do this is to turn the mixed numbers into improper fraction, then, multiply straight across and simplify.

The graph of g(x) = \(-log_{2}(x - 3)\) is in graph attached.

The logarithmic function is a crucial tool for mathematical computations. Scottish mathematician, physicist, and astronomer John Napier made the first formal study of logarithms in the 16th century. Numerous astronomical and scientific calculations requiring large numbers can use it. The exponential function is thought of as the inverse of the logarithmic function because of their close relationship.

Given

F(x) = log₂ x

and graph of equation is given in question,

to plot the graph of g(x) = -log₂(x - 3)

The shape of graph will be same as log₂x but in different quadrant because of negative sign.

The point of function g(x) = -log₂(x - 3)

x = 4, g(x) = 0

x = 19, g(x) = -4

and graph will be parallel to y axis at x = 3,

Hence the graph is in image.

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By solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

A mathematical statement known as an equation is made up of two expressions joined by the equal sign.

A formula would be 3x - 5 = 16, for instance.

When this equation is solved, we discover that the number of the variable x is 7.

So, calculate as follows:

Let g represent giraffes and o represent ostriches.

g + o = 70 ...(1)

4*g + 2*o = 200  ...(2)

g = 70 - o, according to equation 1, therefore we may enter that number in place of g in equation 2 to obtain:

4*g + 2*o = 200

4*(70-o) + 2*o = 200

280 - 4o + 2o = 200

-2o = 200 - 280

2o = 80

o = 80/2

o = 40

Ostriches are 40 then giraffes will be:

70 - 40 = 30

Therefore, by solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

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Option D: Tim's with a y-intercept of $2,780.

Given that:

Equation given by Paul:

\(y - 1400 = 56(x + 26)\\or\\y = 56x + 2856\)

Data given by Tim:

Total amount at the end of 8 months = $4,500

Interest per month = $225

Thus principal amount can be calculated by: \(4580 - 8 \times 225 = 2780\) in dollars.

Thus the equation for Tim will be:

\(y = 2780 + 225x\)

Thus it is visible that the y-s intercept for Tim's equation is smaller ( since 2780 < 2856).

Thus Option D is correct.

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Answer:

$2825,32

Step-by-step explanation:

Value of the car after 1 year

$3000 * 3% = 3000 * 0.03 = 90

3000 - 90 = $2910

Value of the car after 2 year

$2910 * 3% = 2910 * 0.03 = 87.3

2910 - 87.3 = $2912,7

Value of the car after 3 year

$2912,7 * 3% = 2912,7 * 0.03 = 87.381

2912,7 - 87.381 = $2825,319

"Round to the nearest cent"

$2825,32

The largest number of the five positive integers is 146.

Mean:

The mean is the mathematical average of a set of two or more numbers. The arithmetic mean and the geometric mean are two types of mean that can be calculated. The formula for calculating the arithmetic mean is to add up the numbers in a set and divide by the total quantity of numbers in the set.

Median:

The median is the middle value in a set of data. First, organize and order the data from smallest to largest. To find the midpoint value, divide the number of observations by two. If there are an odd number of observations, round that number up, and the value in that position is the median.

Here we have to find the largest integer.

Data given:

Four of the five integers are 8, 18, 36, and 62.

It is given that mean of five numbers 1.5 times their median.

mean = (8+18+36+62 + x)/5

median = 36

mean = 1.5 × median

(124 + x) / 5 = 1.5 × 36

124 + x = 5 × 54

x = 270 - 124

  = 146

Therefore we get the largest number as 146.

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Step-by-step explanation:

the formula is too long so the link is below:

https://www.geteasysoloution.com/1/3x+12=x-4

Answer:

3240°

Explanation:

The formula for calculating the sum of the interior angles of a polygon is (n-2)x180 where n refers to the number of sides. Because we know that the polygon has 20 sides, the equation would be (20-2)x180. The answer would be 3240°.

4/3 of the area of the larger hexagon to the area of the smaller hexagon

Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.

The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)

The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3

area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18

= 4/3

Required ratio = 4/3 answer

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here I am! dunno if this is the question you meant but you haven't gotten an answer here yet.

Answer:

B) Exactly one solution. (-3.5)

Step-by-step explanation:

5x + 8 - 7x = -4x + 1

combine like terms

5x - 7x + 8 = -4x + 1

-2x + 8 = -4x + 1

add 4x to both sides

-2x + 4x + 8 = -4x + 1 + 4x

2x + 8 = 1

subtract 8 from both sides

2x + 8 - 8 = 1 - 8

2x = -7

divide both sides by 2.

x = -3.5

3.5, clearly, is only one number.

In the function call, the argument tax_percentage is assigned the value of 0.07.

In the function call split_check(60.52, 5, .07, tip_percentage=0.18), the value passed as the tax_percentage argument is 0.07.

The function split_check is being called with the following arguments:

60.52 as the amount of the check

5 as the number of people to split the check among

0.07 as the tax percentage

0.18 as the tip percentage (provided as a keyword argument tip_percentage=0.18)

Therefore, the value 0.07 is passed as the tax_percentage argument in the function call.

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Answer:

B

Step-by-step explanation:

Answer:

-3/2

Step-by-step explanation:

Answer:

The rate of change of the radius of the cone when the radius is 3 inches is 0.\(\overline 3\) inch/minute

Step-by-step explanation:

The given parameters are;

The radius of the cone = 3 inches

dV/dt = 9·π in.³/min

The height, h = 3 × Radius, r

The formula for the volume of a cone, V is V = 1/3×π×r²×h = 1/3×π×r²×3×r = π·r³

Therefore, we have;

dV/dt = dV/dr × dr/dt

dV/dr =3·π·r²

∴ dr/dt = dV/dt/(dV/dr) = 9·π/(3·π·r²) = 3/r²

When r = 3 inches, we have;

dr/dt = 3/r² = 3/(3²) = 1/3 inch/minute

The rate of change of the radius of the cone when the radius is 3 inches = 0.\(\overline 3\) inch/minute

Answer:

its B my guy I had that question before

Answer:

B.4.7 x 101

Step-by-step explanation:

it's 4.7 x 101

area=108 in. squared

12/2 gives you the radius (6)

6 squared is 36

36 times 3 is 108

\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=471 \end{cases}\implies 471=2\pi r\implies \cfrac{471}{2\pi }=r \\\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \implies A=\pi \left( \cfrac{471}{2\pi } \right)^2\implies A=\pi\cdot \cfrac{471^2}{4\pi^2} \implies A=\cfrac{471^2}{4\pi }\)

\(\textit{area of a square}\\\\ A=s^2~~ \begin{cases} s=side\\[-0.5em] \hrulefill\\ A=\frac{471^2}{4\pi } \end{cases}\implies \cfrac{471^2}{4\pi }=s^2\implies \sqrt{\cfrac{471^2}{4\pi }}=s \implies \cfrac{471}{2\sqrt{\pi }}=s \\\\\\ \stackrel{\textit{perimeter of a square}}{4s\implies 4\left( \cfrac{471}{2\sqrt{\pi }} \right)}\implies \cfrac{942}{\sqrt{\pi }}~~ \approx~~531.47\)