\(\huge\boxed{PLEASE\;HELP!}\)

The percentage of operations that succeed and are free from infection is 86%.

To determine the percentage of operations that succeed and are free from infection, we need to subtract the probabilities of infection and failure from 100%.

Infection occurs in 4% of the operations.

The repair fails in 12% of the operations.

Both infection and failure occur together in 2% of the operations.

Let's calculate the percentage of operations that succeed and are free from infection:

Percentage of operations with infection = 4%

Percentage of operations with failure = 12%

Percentage of operations with both infection and failure = 2%

Percentage of operations without infection = 100% - 4% = 96%

Percentage of operations without failure = 100% - 12% = 88%

Percentage of operations without infection and failure = 100% - (4% + 12% - 2%) = 86%

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No, the function y=2sin(2x) is not a solution of the differential equation y'''-8y=0.

To determine whether a function is a solution to the differential equation, we have to first find the derivatives of the function. The derivatives of y=2sin(2x) are y'=4cos(2x), y''=-8sin(2x) and y'''= -16cos(2x).

Next, we have to substitute the derivatives of the given function into the differential equation. When we substitute the derivatives of y=2sin(2x) into the differential equation, we get -16cos(2x) - 8×2sin(2x) = 0. This is not equal to 0, so y=2sin(2x) is not a solution to the differential equation y'''-8y=0.

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1. (x^2 + 8x – 1) ÷ (x + 4), the quotient is x + 4 and the remainder is -17.

2. (x^3 + 6x^2 – x – 30) ÷ (x-2), the quotient is x^2 + 8x + 15 and there is no remainder.

3. (4x^2 + 24x + 21) ÷ (x + 5), the quotient is 4x + 4 with a remainder of 1.

4. (2t^4 + t^3 + 5t^2 14t – 16) ÷ (t + 2), the quotient is 2t^3 - 3t^2 + 2t - 8 with a remainder of 6.

  x + 4 │ x^2 + 8x - 1

         │ x^2 + 4x

         │-------------

         │ 4x - 1

         │ 4x + 16

         │-------------

         │ -17

 x - 2 │ x^3 + 6x^2 - x - 30

        │ x^3 - 2x^2

        │-----------------

        │ 8x^2 - x

        │ 8x^2 - 16x

        │-------------

        │ 15x - 30

        │ 15x - 30

        │--------------

        │ 0

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Answer:

3

Step-by-step explanation:

Easy pythagorean theorum question.

The law states that "A squared plus B squared, equals C squared."

A and B are the two sides that border the 90 degree mark.

C is the hypotenuse or the longest side/diagonal.

Since we know C and A (I chose to use A because why not) we can fill in the equation with what we know

2^2 + ?^2 = \(\sqrt{13^{2} }\)

So

4 + ?^2 = \(\sqrt{13^{2} }\)

Since the 13 is already squared in side of a root, it stays as 13

4 + x^2 = 13

4 - 4 + x^2 = 13 - 4

x^2 = 9

x^2 root = root of 9

x = 3

The missing side is 3.

Or you could use an online calculator xD

Answer:

Step-by-step explanation:

(a). FH = KL / 2 = 48 ÷ 2 = 24

(b). FG = JL / 2 = 37 ⇒ JL = 2 × FG = 74

(c). KJ = 2 × GH = 2(30) = 60

(d). FJ = KJ ÷ 2 = 30

Answer:

A polynomial is a combination of terms separated by

+

or

−

signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.

Polynomial

Step-by-step explanation:

The generalized 9th degree polynomial is given below \(a_1x^9+a_2x^8+a_3x^7+a_4x^6+a_5x^5+a_6x^4+a_7x^3+a_8x^2+a_9x+a_{10}=0\) where \(a_1,a_2,....a_9\) are the coefficients and \(a_{10}\) is constant. The polynomial \(x^9\) is known as the nonic equation.

Given :

Polynomial  -- \(x^9\)

The following steps can be used in order to classify the given polynomial:

Step 1 - The generalized polynomial equation is given below:

\(a_1x+a_2x^2 + a_3x^3+a_4x^4+a_5x^5+.............+a_nx^n=0\)

where \(a_1,a_2,....,a_n\) are the coefficients.

Step 2 - The generalized quadratic equation is given below:

\(ax^2+bx+c=0\)

where a, b are the coefficients and c is the constant.

Step 3 - So the generalized 9th degree polynomial is given by:

\(a_1x^9+a_2x^8+a_3x^7+a_4x^6+a_5x^5+a_6x^4+a_7x^3+a_8x^2+a_9x+a_{10}=0\)

where \(a_1,a_2,....a_9\) are the coefficients and \(a_{10}\) is constant.

The polynomial \(x^9\) is known as the nonic equation.

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The mean score for both boys and girls is 5, and the median score for both boys and girls is also 5.

To calculate the mean and median of the scores obtained in the Mathematics quiz by the boys and girls, we will follow these steps:

Boys' Scores: 4, 6, 3, 7, 5

Girls' Scores: 6, 3, 4, 7

Step 1: Calculate the mean:

The mean is calculated by summing up all the scores and dividing by the total number of scores.

For the boys' scores:

Mean of boys' scores = (4 + 6 + 3 + 7 + 5) / 5 = 25 / 5 = 5

For the girls' scores:

Mean of girls' scores = (6 + 3 + 4 + 7) / 4 = 20 / 4 = 5

So, the mean score for both boys and girls is 5.

Step 2: Calculate the median:

The median is the middle value of a dataset when arranged in ascending or descending order.

For the boys' scores:

Arranging the scores in ascending order: 3, 4, 5, 6, 7

Median of boys' scores = 5

For the girls' scores:

Arranging the scores in ascending order: 3, 4, 6, 7

Median of girls' scores = (4 + 6) / 2 = 10 / 2 = 5

So, the median score for both boys and girls is 5.

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Answer:

\(280 \: dollars\)

Step-by-step explanation:

\(3500 \times .08 = 280\)

Simple as that ^^^ Just find 8% of 3500

280,00$

8% of 3500$ equals to

(8/100)*3500=

280,00$=

The sidereal time tomorrow at 8 p.m. will be 4 hours 56 minutes .

A sidereal day is the amount of time needed by earth to complete one rotation. And the time for one sidereal day is 23 hours 56 minutes and 4.1 seconds. In the solar system , starts appear at the same location at the same time ,each sidereal day. The 4 minutes difference between the solar day and the sidereal day is visible by watching the stars rise 4 minutes earlier every night. So if any star is rising at 7p.m today , it will rise at 6:56 p.m. tomorrow and at 6:52 p.m. the following day.

Similarly if the sidereal time today is 8p.m. , tomorrow it will be four minutes less i.e.  at 4 hours 56 minutes.

The sidereal time helps scientists keep a good track of time without worrying about the position of earth with respect to the sun.

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Answer:

a b d e

Step-by-step explanation:

The reason is for A. BD=BF is the same length

the reason for B. is that angle one and two combined is a right angle so 90 degrees

the reason for D. is that E is in the middle of DF if you cut it in half where the E is it will be equal to each other

the reason for E. is that is angle three and four combined equals 90 degrees

In this utility function, the term 6X represents the utility derived from consuming good X, while the term -Y represents the disutility or loss of satisfaction from consuming good Y. By subtracting Y from 6X, Chloe's preferences reflect the substitution relationship she perceives between the two goods.

A utility function describes an individual's preferences and the satisfaction they derive from consuming different goods. In Chloe's case, she believes that 6 units of good X can fully replace the satisfaction derived from consuming 1 unit of good Y. Therefore, we can construct a utility function based on this substitution ratio.

Let's denote the quantity of good X as X and the quantity of good Y as Y. Since Chloe believes that 6 units of X perfectly substitute 1 unit of Y, we can express her utility function as:

U(X, Y) = 6X - Y

It's important to note that utility functions are subjective and specific to an individual's preferences. Chloe's utility function captures her belief that 6 units of X are equivalent to 1 unit of Y, but it may not hold true for other individuals with different preferences or perceptions of substitutability between the goods.

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Answer:

5.5

Step-by-step explanation:

180/3 =60 (60/1 hr)

330/60 =5.5

The probability that the airline will have no mishandled bags is 0.0022.

Given that airline A had 6.06 mishandled bags per 1,000 passengers.Let us find the probability that in the next 1,000 passengers, the airline will have no mishandled bags. Here, the mean number of mishandled bags = 6.06.

We need to find the probability that the airline will have no mishandled bags.

Probability of having no mishandled bags = P(X = 0)

The Poisson distribution formula is

P(X = x) = (e^(-λ) * λ^x) / x!

Where λ is the mean number of occurrences of an event in a given interval of time/space.

Here, λ = 6.06 and x = 0.

Thus, the Poisson distribution formula will be:

P(X = 0) = (e^(-6.06) * 6.06^0) / 0!

P(X = 0) = (e^(-6.06) * 1) / 1

P(X = 0) = e^(-6.06)

P(X = 0) = 0.0022011124290586392 (approximately)

Therefore, the probability that in the next 1,000 passengers, the airline will have no mishandled bags is 0.0022 (rounded to four decimal places).

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The figure RSTU can represent Quadrilateral, Parallelogram and Rectangle

The figure KLMN  represents Quadrilateral and Parallelogram

The figure ABCD  represents only Quadrilateral

Given,

The figures;

RSTU, KLMN and ABCD

We have to identify the true facts about the figure.

All figure are drawn like a rectangle.

Quadrilateral;

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.

Parallelogram;

A quadrilateral is referred to as a parallelogram in geometry. The opposite sides of a parallelogram are parallel and of equal length. Rhombus, rectangle, and square are a few instances of parallelograms.

Now here,

RSTU; This figure can represent all the options.

That is,

Quadrilateral, Parallelogram and Rectangle

KLMN; This figure represents Quadrilateral and Parallelogram

ABCD; This figure represents only Quadrilateral

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Answer:

x = 94

Step-by-step explanation:

The sum of the 4 angles in a quadrilateral = 360°

Sum the 4 angles and equate to 360

x + x + 2x - 75 + x - 35 = 360

5x - 110 = 360 ( add 110 to both sides )

5x = 470 ( divide both sides by 5 )

x = 94

Step-by-step explanation:

x = 24

Quadrilateral:

We have 94° + 41° + a + b.

Using 111°, we can do 180 - 111 and get 69°.

Now, we have 94° + 41° + 69° + b.

A quadrilateral's angles will equal 360°.

94 + 41 + 69 + b = 360°

204 + b = 360°

b = 156

Triangle:

Now, we can do 180 - 156 to find x.

x = 24

Hope this was helpful!

Answer:

1.8

Step-by-step explanation:

1.2p - 2q

Let p = 3.5 and q = 1.2

1.2 ( 3.5) - 2(1.2)

Multiply

4.2 - 2.4

Subtract

1.8

Answer:

Kevin should do 21 shock replacements and 6 brake replacements every week to maximize his weekly income.

Step-by-step explanation:

Since either job takes 2 hours to complete, the total number of jobs that Kevin can complete working 54 hours a week is:

\(n=\frac{54}{2}\\n=27\ jobs\)

Since replacing shocks gives him a greater income, he should aim to do as little break replacements as possible and as many shock replacements as possible in order to maximize income.

If he has to complete at least 6 break replacements out of the 27 jobs possible, the number of shock replacements he should do is:

\(S=27-6\\S=21\)

Kevin should do 21 shock replacements and 6 brake replacements every week to maximize his weekly income.

Grace's skillset includes the ability to tie a square knot and operate an automobile with a standard transmission. These abilities demonstrate her proficiency in manual tasks and mechanical knowledge.

It is important to note that these skills may not be relevant in all situations, but they can be useful in specific circumstances. For example, the square knot may be used in camping or boating, while the standard transmission automobile may be preferred by some drivers for its greater control and fuel efficiency.

Overall, Grace's skills highlight her versatility and adaptability in various settings. A square knot is a secure, binding knot used in various applications, while a standard transmission refers to a manual gearbox in an automobile, requiring the driver to change gears manually. Both of these skills showcase her adaptability and competence in diverse area.

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Step-by-step explanation:

If you divide 150 by 20 you get 7.50. multiply this by 38 to get 285.

Answer is 285

Answer:

$285

Step-by-step explanation:

Hope this Helps!

plz Mark Brainliest!

Vocabulary:

Graph: A visual representation of data.

Data: Gathered information.

Situated Problem:

Graph: \(y=\sqrt[3]{x} -2\)

To determine the total amount of flour required for the given recipes, we need to know the amount of flour needed for each serving of Banana Bread, Chocolate Chip Cookies, and Sugar Cookies.

Since we don't have the specific recipe details or the amount of flour required per serving for each item, it is not possible to provide an exact answer.

The amount of flour needed can vary depending on the specific recipe and serving size.

To calculate the total amount of flour, we would need to know the recipe details, including the amount of flour required per serving for each item.

Once we have that information, we can multiply the amount of flour per serving by the number of servings for each item and sum them up to get the total amount of flour required.

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Answer:

25%

Step-by-step explanation:

30/120 = 1/4

1/4 = 25%

Answer: I think it’s A

Step-by-step explanation:

But go for it

Answer:-12x

Step-by-step explanation:

just trust me on this

Answer:

The answer would be 84%.

Answer:

I took the test and It is 84%

Step-by-step explanation:

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The following a probability model? what do we call the outcome No, the provided information is not sufficient to determine if it is a probability model. The outcome "red" is typically referred to as an event.

A probability model is a mathematical representation of a random experiment, where the sample space is defined, and probabilities are assigned to all possible outcomes. To determine if the given information is a probability model, we would need to know the complete list of possible outcomes, their corresponding probabilities, and ensure that the probabilities meet the necessary conditions (sum up to 1 and are non-negative).

Based on the limited information provided, we cannot determine if it is a probability model. The outcome "red" is called an event in the context of probability.

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Answer:its probably A

Step-by-step explanation:

Good luck :)

Answer:

A option is correct answer

The solution to the inequality -2x + 4 < 16 is x > -6.

To solve the inequality -2x + 4 < 16, you can follow these steps:

Start by isolating the variable term. In this case, the variable term is -2x. Move the constant term, which is +4, to the other side of the inequality by subtracting 4 from both sides:

-2x + 4 - 4 < 16 - 4

-2x < 12

Next, divide both sides of the inequality by the coefficient of x, which is -2. It's important to note that when you divide or multiply an inequality by a negative number, you need to reverse the direction of the inequality sign:

(-2x) / -2 > 12 / -2

x > -6

The solution to the inequality is x > -6. This means that any value of x greater than -6 would satisfy the original inequality. Graphically, this represents all the numbers to the right of -6 on the number line.

So, the solution to the inequality -2x + 4 < 16 is x > -6.

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