what is -2(6a-2b+4c-9)

The solution to the proportional equation in this problem is given as follows:

x = 75/7.

The proportional equation in the context of this problem is defined as follows:

25/x = 7/3.

The equation is proportional, meaning that we can obtain the value of x applying cross multiplication as follows:

7x = 25 x 3

7x = 75

x = 75/7.

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Answer:

145 is the outlier

Step-by-step explanation:

When compared to the other values, 145 is an exceeding highly value. Hence, it can be considered an outlier in the data set.

The test to use when there's an independent group design and ordinal data is the Kruskal Wallis test

Given: Independent group and ordinal data. To find which test to use.

What's the Kruskal Wallis test?

The Kruskal Wallis test is used when you have one independent variable with two or further situations and an ordinal dependent variable. In other words, it's thenon-parametric interpretation of ANOVA and a generalized form of the Mann- Whitney test system since it permits two or further groups.

The Kruskal Wallis test is used when you have one independent variable with two or further situations and an ordinal dependent variable. In other words, it's thenon-parametric interpretation of ANOVA and a generalized form of the Mann- Whitney test system since it permits two or further groups.

The null thesis for the Kruskal- Wallis test simply states that there are no methodical or harmonious differences among the treatments being compared.

How to calculate the Kruskal Wallis test?

The computation of the Kruskal- Wallis statistic requires

Hence as is mentioned for an independent group design and ordinal data so we use the Kruskal Wallis test.

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We can use the Kruskal Wallis test when we have an independent group design and ordinal data.

We are given an independent group design and ordinate data.

We need to tell which test to use on them.

The Kruskal Wallis test is used when you have one independent variable with two or more situations and one ordinal dependent variable. In other words, it is an interpretation of ANOVA table and a generalized form of the Mann- Whitney test system.

The null hypothesis for the Kruskal- Wallis test tells us that:

There are no methodical or harmonious differences among the treatments being compared.

Therefore, we can use the Kruskal Wallis test when we have an independent group design and ordinal data.

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Answer:

Let the length of missing side x.

x^2 = 16^2 + 30^2

x^2 = 1156

x = √1156

x = 36

Step-by-step explanation:

Hope it is helpful....

Answer:

Step-by-step explanation:

x ² = 16² +30²

x ² = 1156

x = √1156

x =34

The area of the sector is (a) 65.85 km square

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

Angle = 154 degrees

Radius = 7 km

Using the above as a guide, we have the following:

Sector area = Angle/360 * πr²

substitute the known values in the above equation, so, we have the following representation

Sector area = 154/360 * π * 7²

Evaluate

Sector area = 65.85

Hence, the area is 65.85 km square

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The number of women can be represented by the equation w = m+4 / 10.

What is the conditional ratio?

In order to test for conditional independence of two variables given the third variable, we use conditional odds ratios, which are odds ratios between two variables for fixed levels of the third variable.

The number of men = m,

The number of women = w,

We have given,

the number of men in a class is 4 less than ten times the number of women.

It means m = 10w -4

so,

m+4 = 10w

 w = m+4 / 10

Hence, the number of women can be represented by the equation w = m+4 / 10.

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We cannot determine the exact test statistic based solely on the p-value of a hypothesis test. However, we can make an inference about the test statistic based on the level of significance and the directionality of the alternative hypothesis.

Assuming a two-tailed test with a significance level of 0.05, a p-value of 0.0295 suggests that the test statistic is significant at the 0.05 level, but not at the 0.01 level.

If the alternative hypothesis is one-tailed (either greater than or less than the null hypothesis), then we can infer the directionality of the test statistic. For example, if the alternative hypothesis is that the population mean is greater than the null hypothesis, then a p-value of 0.0295 suggests that the test statistic is positive.

However, we cannot determine the exact value of the test statistic without additional information, such as the sample size, the point estimate, and the standard error.

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The null hypothesis would be that the mean tenure for CEO's is 8 years, while the alternative hypothesis would be that the mean tenure for CEO's is less than 8 years. This would be formulated as: Null hypothesis: μ = 8 years
Alternative hypothesis: μ < 8 years

The sample mean of 5.8 years is lower than the claimed mean of 8 years, suggesting that the shareholders' claim may not be valid. To test the validity of their claim, a hypothesis test can be conducted using the sample data and assuming a normal distribution of CEO tenure in the population.

To challenge the validity of the claim made by the shareholders, you can formulate a hypothesis test using the following steps:

Step 1: State the null hypothesis (H0) and alternative hypothesis (H1)
- Null hypothesis (H0): The population mean tenure for a CEO is at least 8 years (μ ≥ 8)
- Alternative hypothesis (H1): The population mean tenure for a CEO is less than 8 years (μ < 8)

Step 2: Collect and summarize the sample data
- Sample size (n): 52 companies
- Sample mean (x): 5.8 years
- Sample standard deviation (s): 5.4 years

Step 3: Since the population standard deviation is unknown and the sample size is large (n > 30), we can assume the sampling distribution is normally distributed and use a t-test to perform the hypothesis test.

Note that we cannot directly test the validity of the shareholders' claim based on the sample data alone. The hypothesis test will help determine whether there is enough evidence to reject the null hypothesis and support the alternative hypothesis, which would then challenge the claim made by the shareholders.

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a.- Option B, The statement is false because the set must be linearly dependent. b.- Option C, The statement is true by the Spanning Set Theorem c.- Option C. d.- option D. e.- Option C.      

a. The statement is false because a basis requires both linear independence and spanning the subspace, not just independence.

b. The statement is true according to the Spanning Set Theorem, as any finite spanning set has a subset that forms a basis.

c. The statement is false since a basis is the smallest set that spans a subspace while being linearly independent.

d. The statement is true as the standard method for finding a spanning set may not yield linearly independent vectors, which is necessary for a basis.

e. The statement is false since the pivot columns of an echelon form only form a basis for the row space, not necessarily the column space of the matrix.

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Proved that x=2 y+5 is a tangent line to the circle x^2+y^2=5 at the point (1,-2).

Given,

The straight line with an equation, x = 2y + 5 is a tangent to the circle with equation x² + y² = 5

We have to prove this;

Typically, the mathematical formula for is stated as

By interpreting y=y(x) as a function of x, differentiate both sides of the circle equation with regard to x:

x² + y² = 5 ⇒ 2x + 2y dy/dx = 0

dy/dx = -x/y

The slope of any line tangent to the circle at the point is provided by this (x, y). The slope of the given line when it is rewritten in slope-intercept form is

x = 2y + 5

y = 1/2x - 5/2

Slope = 1/2

This line must cross the circle at the point (x, y) in order for it to be tangent to the circle.

-x/y = 1/2

y = -2x

The circle's equation is as follows:

x² + (-2x)² = 5x² = 5

x = ± 1

y = ± 2

If x = -1, then

-1 = 2y + 5

y = -3 ≠ 2

If x = 1, then

1 = 2y + 5

y = -2

Hence, proved that x=2 y+5 is a tangent line to the circle x^2+y^2=5 at the point (1,-2).

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Not sure if this is the answer but this is what I got

Answer: y= 4/25 x

The  equivalent effective semi-annual rate is  1.23195 %, option C is correct.

To find the equivalent effective semi-annual rate, we need to use the formula:

(1 + r)² = 1 + i,

where r is the semi-annual rate and i is the annual rate given as a decimal.

Given that i²⁶= 2.450%, we can convert it to a decimal by dividing by 100:

i = 2.450% / 100

= 0.02450.

Now we can solve for r:

(1 + r)² = 1 + i

(1 + r)² = 1 + 0.02450

To find r, we can take the square root of both sides:

1 + r =√(1 + 0.02450)

Subtracting 1 from both sides gives us:

r = √(1 + 0.02450) - 1

Calculating this expression will give us the equivalent effective semi-annual rate:

r = 1.23195%

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Answer:

i need more info, like how much r the CDs and the phones

Step-by-step explanation:

Answer:

%2.5

Step-by-step explanation:

Answer:

\(y=1.25x-2\)

Step-by-step explanation:

The function I used was a linear function (\(y=mx+b\)). I found the slope and y-intercept by going to my calculator and doing these steps:

1. Turn on the calculator

2. Press the STAT button

3. Select Edit . . .

And the calculator will show an empty data table. If there are already numbers in the data table:

1. Click STAT again

2. Select ClrList

3. Press 2nd and number 1

4. Select the comma, it's above 7

5. Press 2nd and number 2

6. Hit enter

Finally, after entering the numbers into the data table in their according spots, you then:

1. Press STAT

2. Go to CALC and Select LinReg (ax+b)

3. And hit enter 5 times, and you'll get your answer

y = -2

m = 1.25  

i think it will be 140 soconds

Answer:

a) 0.75m/s^2

b)10

Step-by-step explanation:

Answer:

H.  13

Step-by-step explanation:

To find the output of a function, substitute the value given in parentheses for x, and do the operations.

Given f(3)

f(3) = 5(3) - 2

f(3) = 15 - 2

f(3) = 13

Answer:

its 13 ^^

Step-by-step explanation:

Answer:

\(x + 2x + x = 2x + 4 \\ 4x = 2x + 4 \\ 4x - 2x = 4 \\ 2x = 4 \\ \\ x = \frac{4}{2} \\ \\ x = 2\)

Answer:

x = 2

Explanation:

\(\rightarrow \sf x + 2x + x = 2x + 4\)

add similar terms

\(\rightarrow \sf 4x = 2x + 4\)

subtract both sides by 2x

\(\rightarrow \sf 4x -2x= 2x + 4-2x\)

subtract similar terms

\(\rightarrow \sf 2x= 4\)

divide both sides by 2

\(\rightarrow \sf x= 2\)

Check :

x + 2x + x = 2x + 4

insert x = 2

2 + 2(2) + 2 = 2(2) + 4

multiply

8 = 8

Hence proved that x = 2

\(\implies {\blue {\boxed {\boxed {\purple {\sf {f(-3)\:=\:3}}}}}}\)

\(\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}\)

\(f(x) = {x}^{2} + 2x\)

For \(f( - 3)\), substitute "\(-3\)" for each occurrence of "\(x\)".

\(f( - 3) = ( { - 3})^{2} + 2( - 3)\)

\( = ( - 3 \times - 3) - 6\)

\( = 9 - 6\)

\( = 3\)

\(\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}\)

The process capability, Cp is calculated by dividing the upper specification limit minus lower specification limit by 6 times the process standard deviation.

This is the formula for the process capability.

Cp = (USL - LSL) / (6 * Standard deviation)

Where, Cp is process capability USL is the Upper Specification Limit LSL is the Lower Specification Limit Standard deviation is the process standard deviation.

The extrudate is subsequently cut into individual parts, and the extruded parts have a critical cross-sectional dimension = 12.50 mm with standard deviation = 0.25 mm. The mean of this distribution is the center line of the control chart and the critical cross-sectional dimension 12.50 mm is the target or specification value.

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The value of (ΣX)² for the scores 1, 5, 2 is:  

64

It is the representation of the sum of infinite or many values. And it is represented by the following symbol:

∑xi

The value of (ΣX)² for the scores 1, 5, 2 can be found by first finding the summation of the scores and then squaring the result.

Steps to follow:

Step 1: Find the summation of the scores.
            ΣX = 1 + 5 + 2 = 8

Step 2: Square the summation.
            (ΣX)² = 82 = 64

Therefore, the value of (ΣX)² for the scores 1, 5, 2 is 64.

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The equations that have one solution are: 5x – 1 = 3(x + 11) and 4 = 2(x – 3). (option a and c)

Linear equations are mathematical expressions involving variables raised to the power of 1, and they form a straight line when graphed.

5x – 1 = 3(x + 11)

To determine if this equation has one solution, we need to simplify it:

5x – 1 = 3x + 33

Now, let's isolate the variable on one side:

5x – 3x = 33 + 1

2x = 34

Dividing both sides by 2:

x = 17

Since x is uniquely determined as 17, this equation has one solution.

4(x – 2) = 4x

Expanding the parentheses:

4x – 8 = 4x

The variable x cancels out on both sides, resulting in a contradiction:

-8 = 0

This equation has no solution. In mathematical terms, we say it is inconsistent.

8(x – 9) = 4(x – 6)

Expanding the parentheses:

8x – 72 = 4x – 24

Subtracting 4x from both sides:

4x – 72 = -24

Adding 72 to both sides:

4x = 48

Dividing both sides by 4:

x = 12

As x is uniquely determined as 12, this equation has one solution.

4 = 2(x – 3)

Expanding the parentheses:

4 = 2x – 6

Adding 6 to both sides:

10 = 2x

Dividing both sides by 2:

5 = x

Since x is uniquely determined as 5, this equation has one solution.

2(x – 4) = 5(x – 3)

Expanding the parentheses:

2x – 8 = 5x – 15

Subtracting 2x from both sides:

-8 = 3x – 15

Adding 15 to both sides:

7 = 3x

Dividing both sides by 3:

7/3 = x

The value of x is not unique in this case, as it is expressed as a fraction. Therefore, this equation does not have one solution.

2(x – 1) + 3x = 5(x – 2) + 3

Expanding the parentheses:

2x – 2 + 3x = 5x – 10 + 3

Combining like terms:

5x – 2 = 5x – 7

Subtracting 5x from both sides:

-2 = -7

This equation leads to a contradiction, which means it has no solution.

Hence the correct options are a and c.

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The line of intersection between the planes x - 2y - 4z = -4 and 3x - 3y - 6z = -3 can be parametrized as x = -2t, y = -t, and z = 3t, where t is a parameter.

To find the line of intersection between the given planes, we can set up a system of equations using the equations of the planes:

x - 2y - 4z = -4    ...(1)

3x - 3y - 6z = -3   ...(2)

We can start by eliminating one variable between the equations. By multiplying equation (1) by 3 and equation (2) by 1, we can make the coefficients of x and y the same:

3(x - 2y - 4z) = 3(-4)

3x - 6y - 12z = -12

3x - 3y - 6z = -3

Now we have two equations that are equivalent:

3x - 3y - 6z = -3    ...(3)

3x - 3y - 6z = -3    ...(4)

From equations (3) and (4), we can see that there are infinitely many solutions since they represent the same line. Therefore, we can assign a parameter, let's say t, and solve for x, y, and z in terms of t.

Let z = 3t. Substituting this into equation (3), we have:

3x - 3y - 6(3t) = -3

3x - 3y - 18t = -3

Simplifying the equation, we get:

3x - 3y = 18t - 3

x - y = 6t - 1

Now, we can express x and y in terms of t:

x = 6t - 1 + y

x = -2t

Substituting x = -2t into the equation x = 6t - 1 + y, we get:

-2t = 6t - 1 + y

y = -t

Therefore, the parametrization of the line of intersection is x = -2t, y = -t, and z = 3t, where t is a parameter. This represents a line in three-dimensional space that satisfies both plane equations. The variable t can take any real value, and as t varies, it generates different points along the line of intersection.

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Answer: 100 have an incorrect weight

Step-by-step explanation:

You divide 2,000 by 100 than multiply by 5

Answer: it would be 100

Step-by-step explanation: I took the test and got it right

Answer/Step-by-Step-Explanation:

Yes, She is Correct Because It say " Yesterday, the movie theater brought in $1,440 in ticket sales and $295.25 in food sales" and then it say Today ticket sales were 3/4 as much as yesterday..

So the key Numbers are:

$1,440 and 295.25 and 3/4

Then it say food say went down by $33.50

the Key Words are "Went Down" Meaning -$33.50

Therefore 3/4 · (1440)+295.25+(-33.50)

Hence, Nina is Correct.

(Ask If Answer to 3/4 · (1440)+295.25+(-33.50)  Needed)

Answer:

Step-by-step explanation:

Nina is correct. Her expression represents the scenario because it takes ¾ of the ticket sales and subtracts $33.50 from the food sales.

The constant percent rate of change of the function is option (a) 45% growth

The equation of the function is given as

f(x) = 33(1.45)^x

The above function is an exponential function

An exponential function is represented as

y = ab^x

Where b represents the growth or decay factor

So, we have

b = 1.45

We can see that the value of b is greater than 1

This means that the graph would represent a growth

The percent rate of change is then calculated as

Rate = b - 1

This gives

Rate = 1.45 - 1

Evaluate

Rate = 0.45

Rewrite as

Rate = 45%

Hence, the rate of change is 45% growth

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Answer:

A) 45% growth !!!

Step-by-step explanation:

i took the test

The expected value for the given Five possibilities is $6.

We have,

Payoffs of $2, $4, $6, $8, and $10.

Now,

We know that,

The expected value  \(=\Sigma (x*P(x))\)

i.e. The sum of product of possible outcome and each outcome.

Here, x = Each outcome

And

P(x) = Possible outcomes

So,

Probability of x (Px) \(=\frac{1}{5}\),

Now,

According to the above mentioned formula,

i.e.

The expected value  \(=\Sigma (x*P(x))\)

We get,

\(=\Sigma\ (\frac{1}{5} * 2) + (\frac{1}{5} * 4) + (\frac{1}{5} * 6) +(\frac{1}{5} * 8) +(\frac{1}{5} * 10)\)

On solving we get,

\(=\Sigma\ (0.4 + 0.8 + 1.2 + 1.6 + 2)\)

i.e.

The expected value = $6

So,

The expected value for given possibilities is $6.

Hence we can say that the expected value for the given Five possibilities is $6.

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Here's a Scheme function that checks whether a matrix is symmetric or not:

```scheme

(define (is-symmetric-matrix matrix)

 (define (get-element matrix i j)

   (if (null? matrix)

       #f

       (if (= i 0)

           (if (null? (car matrix))

               #f

               (if (= j 0)

                   (car (car matrix))

                   (get-element (cdr matrix) i (- j 1))))

           (get-element (cdr matrix) (- i 1) j))))

 (define (is-matrix-symmetric-helper matrix i j)

   (if (null? matrix)

       #t

       (if (equal? (get-element matrix i j)

                   (get-element matrix j i))

           (is-matrix-symmetric-helper matrix i (+ j 1))

           #f)))

 (if (null? matrix)

     #t

     (is-matrix-symmetric-helper matrix 0 0)))

```

The function `is-symmetric-matrix` takes a matrix as an input, which is represented as a list of lists. It uses a helper function called `is-matrix-symmetric-helper` to compare each element of the matrix with its corresponding element in the transposed position. The `get-element` function is used to retrieve the element at position `(i, j)` in the matrix.

The `is-matrix-symmetric-helper` function recursively iterates over the matrix, comparing each element with its transposed element. If any pair of corresponding elements is found to be different, it immediately returns `#f` (False), indicating that the matrix is not symmetric. If it reaches the end of the matrix without finding any differences, it returns `#t` (True), indicating that the matrix is symmetric.

Finally, the main `is-symmetric-matrix` function first checks if the matrix is empty. If it is, it immediately returns `#t` since an empty matrix is considered symmetric. Otherwise, it calls the helper function with the initial indices `(0, 0)` and returns its result.

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Answer:

Is that all

_______

_______

The two equivalent equations are: 1. s = s equals start fraction l an over pi r end fraction, and 2. s = s equals start fraction pi r over l a endfraction. Hence, 1 and 2 are the required correct statements.

To determine which equations are equivalent, we need to analyze their structures and rearrange them if necessary.

1. s = s equals startfraction l a over pi r endfraction:

This equation represents the relationship between the surface area (s) of a sphere and its radius (r) and lateral area (l a). It is in a valid form and cannot be simplified further.

2. s = s equals startfraction pi r over l a endfraction:

This equation also represents the relationship between the surface area (s) of a sphere and its radius (r) and lateral area (l a). However, it is written in a different order compared to the first equation. By rearranging the terms, we can rewrite it as s = s equals startfraction l a over pi r endfraction, which is equivalent to the first equation.

3. r = r equals startfraction l a over pi s endfraction:

This equation represents the relationship between the radius (r) of a sphere and its lateral area (l a) and surface area (s). It is not equivalent to the first two equations as the variables are in a different order.

4. r = las:

This equation does not match the structure of the previous equations and does not represent a valid relationship between the variables.

Therefore, the two equivalent equations are:

1. s = s equals startfraction l a over pi r endfraction.

2. s = s equals startfraction pi r over l a endfraction.

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