Is there a proportional relationship between category 1 and Category 2 in the table below

Answer:

The radical form of 3 2/3 is

\( \sqrt[3]{3 {}^{2} } \)

Answer: 5.19 cm.

Step-by-step explanation: Area= l*w so then that also means that l=area/width. So you can divide 6.12 by 1.18 to get 5.19cm.

Answer:

600 times

Step-by-step explanation:

5400000 ÷ 9000 = 600

Answer:

rolls of blue streamer: 5×98=49

rolls of green streamer: 9×82=738

total rolls: 49+738=787

Given:

I have walked 20% of the way to school.

I have 1200 metres more to walk than when I have 20% of the walk remaining.

To find:

The distance from home to school.

Solution:

Let x be the distance from home to school.

I have already walked 20% of the way to school and i have 1200 metres more to walk than when I have 20% of the walk remaining.

It means 1200 is \(100\%-20\%-20\%=60\%\) of the total distance from home to school.

\(1200=\dfrac{60}{100}x\)

\(1200=0.6x\)

\(\dfrac{1200}{0.6}=x\)

\(2000=x\)

Therefore, the distance from home to school is 2000  metres.

How far, in metres, is it from my home to my school is 2,000 metres.

First step is to formulate

1200/(1-2×20%)

Second step is to find how far in metres

Distance=1200/(1-0.4)

Distance=1200/0.6

Distance=2,000

Inconclusion how far, in metres, is it from my home to my school is 2,000 metres.

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Answer:

99

Step-by-step explanation:

If you like my answer than please mark me brainliest

Answer: 99

Step-by-step explanation:

please click thanks and mark brainliest if you like :)

We get that ∠5 can be written as ∠ HDC, ∠ 3 can be written as ∠ GDE and the vertex of ∠ 2 is D.

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle. The word angle comes from a Latin word named 'angulus,' meaning “corner.”

We are given a diagram.

We need to name the angles.

∠5 can be written as ∠ HDC

∠ 3 can be written as ∠ GDE

Vertex of ∠ 2 is D

Therefore, we get that ∠5 can be written as ∠ HDC, ∠ 3 can be written as ∠ GDE and the vertex of ∠ 2 is D.

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The correct statement is c. The Adjusted R-squared is a measure used in multiple regression analysis that is between 0 and 1. It is different from the R-squared value in simple linear regression.

The Adjusted R-squared can decrease if the addition of another X regressor does not sufficiently lower the sum of squared residuals (SSR) relative to the impact of increasing the number of predictors (k). It measures the proportion of the variance explained by the predictors, adjusted for the number of predictors and the sample size, rather than the ratio of the sum of squared residuals to the total sum of squares. It provides a measure of how well the regression model fits the data, and it ranges between 0 and 1. A value closer to 1 indicates that a higher proportion of the variance in the dependent variable is explained by the predictors.

Adding another X regressor to the multiple regression model can impact the Adjusted R-squared. If the additional regressor does not significantly contribute to reducing the sum of squared residuals (SSR) relative to the increase in the number of predictors (k), the Adjusted R-squared can decrease. This means that the added regressor does not improve the model's ability to explain the variance in the dependent variable adequately.

However, the Adjusted R-squared does not directly measure the ratio of the sum of squared residuals to the total sum of squares. Instead, it represents the proportion of the variance explained by the predictors, adjusted for the number of predictors and the sample size. It penalizes models with a large number of predictors that may overfit the data, thereby providing a more reliable measure of the model's goodness of fit.

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The given function is f(x) = 5.32 + 0.08x. By substituting x=36 in this function, we will get the cost to mail an object that weighs 36 pounds. f(x) = 5.32 + 0.08 To find the cost of mailing an object that weighs 36 pounds, we need to substitute x=36 in equation (i).

f(36) = 5.32 + 0.08(36) We need to evaluate the above expression. f(36) = 5.32 + 2.88f(36) = 8.2Hence, it would cost $8.20 to mail an object that weighs 36 pounds. In the given problem, we are given that f(x) = 5.32 + 0.08x represents the cost of mailing an object that weighs x pounds. We are asked to find the cost to mail an object that weighs 36 pounds.

We know that the given function is in the form y = mx + b, where m represents the slope and b represents the y-intercept. Here, the y-intercept represents the fixed cost involved in mailing an object and the slope represents the variable cost involved in mailing an object. In the given function f(x) = 5.32 + 0.08x, the y-intercept is 5.32. This means that there is a fixed cost of $5.32 involved in mailing an object. The slope is 0.08. This means that the cost involved in mailing an object increases by $0.08 for every pound of weight of the object. Substituting x=36 in the function f(x), we get the cost to mail an object that weighs 36 pounds. f(36) = 5.32 + 0.08(36)f(36) = 5.32 + 2.88f(36) = 8.2Therefore, it would cost $8.20 to mail an object that weighs 36 pounds.

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Answer: B.pi/2

ABCD is a square

=> Δ ABD is a  isosceles right triangle at A

using pythago theorem, we have:

AB² + AD² = BD²

=> 2AD² = 4

⇔ AD² = 2

⇒ AD = √2

through O, draw EF parallel to AD and BC

=> EF is  diameter

because EF//AD => EF = AD = √2 (because circle O is inscribed the square ABCD)

=> the area of the circle is \(S=\frac{(\sqrt{2})^{2} }{4}.\pi =\frac{\pi }{2}\)

Step-by-step explanation:

The probability that the pin is red is 0.4. The probability that the pin is white is 0.6, or 60%.

To find the probability that the pin is white, we need to consider that there are only two possible outcomes: red or white. If the probability of the pin being red is 0.4, then the probability of the pin being white can be found by subtracting the probability of it being red from 1.

Let's denote the probability of the pin being white as P(white). We know that P(red) = 0.4. Since there are only two options (red or white), we have:

P(white) = 1 - P(red)

P(white) = 1 - 0.4

P(white) = 0.6

Therefore, the probability that the pin is white is 0.6, or 60%.

This means that out of all the pins in the box, there is a 60% chance that a randomly selected pin will be white. The probability is calculated based on the assumption that each pin has an equal chance of being selected and that the selection process is random.

It's important to note that the sum of the probabilities for all possible outcomes must always be equal to 1. In this case, P(red) + P(white) = 0.4 + 0.6 = 1, which confirms that our probabilities are valid.

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xm denotes the number of the page that was added twice. By solving the equation, we can find xm = (S' - S)/2, which is the number of the page that was added twice.

Let the page numbers be denoted by x1, x2, x3, ... , xn.

The sum of the page numbers is given by S = x1 + x2 + x3 + ... + xn.

The sum of the page numbers with the page number added twice is S' = x1 + x2 + x3 + ... + xn + xm + xm

Therefore, S' = S + 2xm

Since S' = S + 2xm, then 2xm = S' - S

Therefore, xm = (S' - S)/2

Therefore, the number of the page that was added twice is xm = (S' - S)/2.

Let x1, x2, x3, ... , xn denote the page numbers of a book. The sum of the page numbers is denoted by S. When the page numbers were added, one of the page numbers was mistakenly added twice, resulting in an incorrect sum of S'. Therefore, S' = S + 2xm, where xm denotes the number of the page that was added twice. By solving the equation, we can find xm = (S' - S)/2, which is the number of the page that was added twice.

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Answer:

d = 55.5  

x = 1

c = 11

m = \(\frac{1}{122}\)

k = \(\frac{a}{(c + 5)}\)

Step-by-step explanation:

Sorry, the formatting is slightly hard to understand, but I think this is what you meant.

Q1.

\(\frac{1}{6}\)d - 8 = \(\frac{5}{8}\) x 2

Step 1. Simplify.

\(\frac{5}{8}\) x 2 = \(\frac{5}{8}\) x \(\frac{2}{1}\) = \(\frac{10}{8}\)

Step 2. Cancel out the negative 8.

\(\frac{1}{6}\)d - 8 = \(\frac{10}{8}\)

+ 8 to both sides (do the opposite: \(\frac{1}{6}\)d is subtracting 8 right now, but to cancel that out, we will do the opposite of subtraction, i.e. addition)

\(\frac{1}{6}\)d = \(\frac{10}{8}\) + 8

Step 3. Simplify.

\(\frac{10}{8}\) + 8 = \(\frac{10}{8}\) + \(\frac{8}{1}\) = \(\frac{10}{8}\) + \(\frac{64}{8}\) = \(\frac{74}{8}\) = \(\frac{37}{4}\)

Step 4. Cancel out the \(\frac{1}{6}\).

\(\frac{1}{6}\)d = \(\frac{37}{4}\)

÷ \(\frac{1}{6}\) from both sides (do the opposite: d is multiplied by \(\frac{1}{6}\) right now, but to cancel that out, we will do the opposite of multiplication, i.e. division)

÷ \(\frac{1}{6}\) = x 6

So....

x 6 to both sides

d = \(\frac{37}{4}\) x  6 = \(\frac{37}{4}\) x \(\frac{6}{1}\) = \(\frac{222}{4}\) = \(\frac{111}{2}\) = 55.5

Step 5. Write down your answer.

d = 55.5

Q2.

3x - 4 + 5x = 10 - 2x × 3

Step 1. Simplify

3x - 4 + 5x = 3x + 5x - 4 = 8x - 4

10 - 2x × 3 = 10 - (2x × 3) = 10 - 6x

Step 2. Cancel out the negative 6x

8x - 4 = 10 - 6x

+ 6x to both sides (do the opposite - you're probably tired of reading this now - right now it's 10 subtract 6x, but the opposite of subtraction is addition)

14x - 4 = 10

Step 3. Cancel out the negative 4

14x - 4 = 10

+ 4 to both sides (right now it's 14x subtract 4, but the opposite of subtraction is addition)

14x = 14

Step 4. Divide by 14

14x = 14

÷ 14 from both sides (out of the [14 × x] we only want the [x], so we cancel out the [× 14])

x = 1

Step 5. Write down your answer.

x = 1

Q3.

7(c - 3) = 14 × 4

Step 1. Expand the brackets

7(c - 3) = (7 x c) - (7 x 3) = 7c - 21

Step 2. Simplify

14 x 4 = 56

Step 3. Cancel out the negative 21

7c - 21 = 56

+ 21

7c = 56 + 21

7c = 77

Step 4. Cancel out the ×7

7c = 77

÷ 7

c = 77 ÷ 7

c = 11

Step 5. Write down your answer.

c = 11

Q4.

11(\(\frac{m}{22}\) + \(\frac{3}{44}\)) = 87m + m × 5

Step 1. Expand the brackets

11(\(\frac{m}{22}\) + \(\frac{3}{44}\)) = (11 x \(\frac{m}{22}\)) + (11 x \(\frac{3}{44}\)) = (\(\frac{11}{1}\) x \(\frac{m}{22}\)) + (\(\frac{11}{1}\) x \(\frac{3}{44}\)) = \(\frac{11m}{22}\) + \(\frac{33}{44}\) = \(\frac{m}{2}\) + \(\frac{3}{4}\)

Step 2. Simplify.

87m + m x 5 = 87m + 5m = 92m

Step 3. Cancel out the add \(\frac{3}{4}\)

\(\frac{m}{2}\) + \(\frac{3}{4}\) = 92m

- \(\frac{3}{4}\)

\(\frac{m}{2}\) = 92m - \(\frac{3}{4}\)

\(\frac{m}{2}\) = \(\frac{92m}{1}\) - \(\frac{3}{4}\)

\(\frac{m}{2}\) = \(\frac{368m}{4}\) - \(\frac{3}{4}\)

\(\frac{m}{2}\) = \(\frac{368m - 3}{4}\)

Step 4. Cancel out the ÷ 4

\(\frac{m}{2}\) = \(\frac{368m - 3}{4}\)

x 4

2m = 368m - 3

Step 5. Cancel out the 368m

2m = 368m - 3

- 368m

-366m = - 3

Step 6. Cancel out the × -366

-366m = -3

÷ -366

m = \(\frac{-3}{-366}\)

m = \(\frac{1}{122}\)

Step 7. Write down your answer.

m = \(\frac{1}{122}\)

Q5.

ck + 5k = a

Step 1. Factorise

ck + 5k = (c × k) + (5 × k) = (c + 5) x k = k(c + 5)

Step 2. Cancel out the × (c + 5)

k(c + 5) = a

÷ (c + 5)

k = a ÷ (c + 5)

k = \(\frac{a}{(c + 5)}\)

Answer:

Area of original = 169m^2

Area of new = 676m^2

Step-by-step explanation:

Area of a square = (length of side)^2

13^2 = 13 * 13 = 169

If the dimension is doubled:

(2*13)^2 = 26^2 = 676

Answer:

G00D LuCk

Step-by-step explanation:

Feel free to fail

The 26-week average for the two highest quarters is $709.62.

A quarter is a unit of time equal to one-fourth (1/4) of a year or three months. In a standard calendar year, there are four quarters.

To find the 26-week average for the two highest quarters, we need to add up the earnings for those two quarters and divide by the number of weeks in half a year (26 weeks).

First, we need to identify the two highest quarters:

Q1: $9,100

Q2: $8,950

Q3: $9,350

Q4: $8,890

The two highest quarters are Q1 and Q3, with earnings of $9,100 and $9,350, respectively.

Next, we add up the earnings for these two quarters:

$9,100 + $9,350 = $18,450

Then, we divide by the number of weeks in half a year (26 weeks) to get the 26-week average:

$18,450 / 26 = $709.62 (rounded to the nearest cent)

Therefore, the 26-week average for the two highest quarters is $709.62.

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The Expected value of M is 65

The Standard error of M is 5

Given,

The sample score, n = 9

The Standard deviation, σ = 15

Population mean, μ = 65

Then,

The Expected value of M = μ

∴ The Expected value of M = 65

The Standard error of M = σ/\(\sqrt{n}\)

                                          \(=\frac{15}{\sqrt{9} } \\\\=\frac{15}{3} \\=5\)

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Answer: You add 4+2/5 then multiply it times 2.5

Step-by-step explanation:

If you Evaluate it your answer will be: 11 = -13

Answer:

A third group in which no naps occur

Step-by-step explanation:

Control group: In a study or an experiment, the term "control group" is described as a specific group that doesn't receive or being provided any sort of treatment by the investigator or researcher ans therefore used as a particular benchmark or criteria to analyze or measure the way other tested participants do. It is generally used as a specific strategy that minimized the effects of different variable except independent variable.

Answer:

above is correect. i took the test.

Step-by-step explanation:

Answer:

i gotchu the first one is 3 the second one is 1

Step-by-step explanation:

Answer:

x.1 y.25

x.3 y.17

x.5 y.9

x.6 y.5

Step-by-step explanation:

Answer:

14 mm

Step-by-step explanation:

Just write down the answer.

Answer:

28mm

Step-by-step explanation:

is the right answer

The number of outcomes if at least 3 tails occur for a fair coin tossed 27 times is 134217700.

Probability is the likelihood or chance that an event will occur.

The formula for calculating probability is expressed as:

Probability = Expected outcome/Total outcome

If a  fair coin is tossed 27 times, the total number of outcomes will be expressed as:

2²⁷ = 134217728

If at least 3 tails occur, the expected outcome will be 27 times.

Pr(at least 3 tails occur) = 2²⁷ - 27 - 1

Pr(at least 3 tails occur) = 134217728 - 28 = 134217700

Hence the number of outcomes if at least 3 tails occur is 134217700.

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The complete question is mentioned below:

A fair coin is tossed 27 times. In how many outcomes do at least 2 tails occur? a) 134,217,700 b) 134,217,349 c) 134,217,701 d) 351 e) 1 f) None of the above.

Answer:

x = 66°

Step-by-step explanation:

First, you can use exterior angle theorem to say that

\(m<JIH = m<JDI + m<DJI\)

and you can substitute to get:

105° = 39° + m<DJI

m<DJI = 66°

m<DJI and m<AJF are vertical angles, so they equal each other:

m<DJI = m<AJF

m<AJF = x = 66°

A linear-quadratic state estimator and a particle filter are both estimation techniques used in control systems, but they differ in their underlying principles and application domains.

A linear-quadratic state estimator, often referred to as a Kalman filter, is a widely used optimal estimation algorithm for linear systems with Gaussian noise. It assumes linearity in the system dynamics and measurements. The Kalman filter combines the predictions from a mathematical model (state equation) and the available measurements to estimate the current state of the system. It provides a closed-form solution and is computationally efficient. However, it relies on linear assumptions and Gaussian noise, which may limit its effectiveness in nonlinear or non-Gaussian scenarios.

On the other hand, a particle filter, also known as a sequential Monte Carlo method, is a non-linear and non-Gaussian state estimation technique. It employs a set of particles (samples) to represent the posterior distribution of the system state. The particles are propagated through the system dynamics and updated using measurement information. The particle filter provides an approximation of the posterior distribution, allowing it to handle non-linearities and non-Gaussian noise. However, it is computationally more demanding than the Kalman filter due to the need for particle resampling and propagation.

The choice between a linear-quadratic state estimator and a particle filter depends on the characteristics of the system and the nature of the noise. The Kalman filter is suitable for linear and Gaussian systems, while the particle filter is more versatile and can handle non-linearities and non-Gaussian noise. However, the particle filter's computational complexity may be a limiting factor in real-time applications.

In summary, a linear-quadratic state estimator (Kalman filter) is a computationally efficient estimation technique suitable for linear and Gaussian systems. A particle filter, on the other hand, provides more flexibility by accommodating non-linearities and non-Gaussian noise but requires more computational resources. The choice between these methods depends on the specific system characteristics and the desired accuracy-performance trade-off.

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There is only 1 power of 7 contained in 10.

Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.

Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.

The digit in the tens place is the same.

The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.

The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.

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There is only 1 power of 7 contained in 10.

Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.

Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.

The digit in the tens place is the same.

The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.

The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.

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Answer:

when x = -5 y is -48

when x is -1 y is -8

when x is 0 y is 2

when x is 1 y is 12

Step-by-step explanation:

The best scale for the length axis would be to have a range of 0 to 130, with A = 0 and B = 130. This scale is ideal because it displays the range of the data points without being too small or too large.

To calculate the values of A and B, the range of the data must first be determined. The range is 129 - 82 = 47. Since the range is 47, the scale should be 0 to 130 to account for the extra 3 cm. Therefore, A = 0 and B = 130.The scale of 0 to 130 is ideal because it allows for the data points to be seen easily without making the graph too small or too large. Without this scale, it would be difficult to see the data points because either the range would be too small, or the graph would be too large. Additionally, this scale ensures that all of the data points are visible on the graph.

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The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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Answer:8.4

Step-by-step explanation:

Ten percent of 14 is 1.4 so add 1.4 4 times or multiple 1.4 by 4 and you get 5.6, then subtract 14 by 5.6 and you get 8.4

Answer:

I earn $99. my friend earns $85. We both earn $184

Step-by-step explanation:

Steps

Amount i earn per hour = 44.55 / 9 = $4.95

Amount my friend earns = 51 /12 = $4.25

Amount earned in 20 hours

4.95 x 20 = 99

4.25 x 20 = 85