Solve for x. Your answer must be simplified. -3 < x/-4

Answer:

7y

Step-by-step explanation:

GCF for 21xy+14y is: 7y

because GCF is greatest common factor. y is common for both units so take it out and greatest number that both numers can divide by is 7,

so 7y.

Check:

7y(3x+2)

7y*3x + 7y*2

21yx + 14y

true

To find the probability that exactly 15 lights out of 20 have a useful life of at least 1000 hours, we can plug in the values: P(X = 15) = (20 choose 15) * 0.8^15 * 0.2^5

Given that the probability that a fluorescent light has a useful life of at least 1000 hours is 0.8, we can use the binomial distribution formula to find the probabilities that among 20 such lights, a certain number will have a useful life of at least 1000 hours. The formula is:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where X is the number of lights that have a useful life of at least 1000 hours, n is the total number of lights (20 in this case), k is the number of lights with a useful life of at least 1000 hours, p is the probability that a single light has a useful life of at least 1000 hours (0.8), and (n choose k) is the binomial coefficient.

For example, to find the probability that exactly 15 lights out of 20 have a useful life of at least 1000 hours, we can plug in the values:

P(X = 15) = (20 choose 15) * 0.8^15 * 0.2^5

Using a calculator or a statistical software, we can find that this probability is approximately 0.202. Similarly, we can find the probabilities for other values of k, such as P(X = 10), P(X = 5), or P(X = 0). The probabilities will follow a binomial distribution, which is a discrete probability distribution that models the number of successes in a fixed number of trials.
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Answer:

I don't even know what those last 2 words are. Good Luck though.

Answer:

Explanation:

The slope of the given line is 3/2

A line parallel to this has the same line but different y-intercept.

IIn point-slope form, it is:

Where

Using these, we have:

(a) between 11. 9 and 22. 3 gallons 95.44 % (b) more than 19. 7 gallons 15.87 % (c) less than 11. 9 gallons 2.28 % (d) between 11. 9 and 19. 7 gallons 81.85 %

(a) Between 11.9 and 22.3 gallons.z1 = (11.9 - 17.1) / 2.6 = -2.00z2 = (22.3 - 17.1) / 2.6 = 2.00

Looking at the z-score table we see that the area to the left of -2.00 is 0.0228 and the area to the left of 2.00 is 0.9772. So, the percentage of showers between 11.9 and 22.3 gallons is;

P(11.9 < X < 22.3) = P(z1 < z < z2) = P(z < 2) - P(z < -2) = 0.9772 - 0.0228 = 0.9544

Therefore, the percentage of showers that are used between 11.9 and 22.3 gallons is 95.44%.

(b) More than 19.7 gallons.z = (19.7 - 17.1) / 2.6 = 1.00

Looking at the z-score table we see that the area to the left of 1.00 is 0.8413. So, the percentage of showers that used more than 19.7 gallons is;

P(X > 19.7) = P(z > 1) = 1 - P(z < 1) = 1 - 0.8413 = 0.1587

Therefore, the percentage of showers that used more than 19.7 gallons is 15.87%.

(c) Less than 11.9 gallons.z = (11.9 - 17.1) / 2.6 = -2.00

Looking at the z-score table we see that the area to the left of -2.00 is 0.0228. So, the percentage of showers that used less than 11.9 gallons is;

P(X < 11.9) = P(z < -2) = 0.0228

Therefore, the percentage of showers that used less than 11.9 gallons is 2.28%.

(d) Between 11.9 and 19.7 gallons.

z1 = (11.9 - 17.1) / 2.6 = -2.00z2 = (19.7 - 17.1) / 2.6 = 1.00

Looking at the z-score table we see that the area to the left of -2.00 is 0.0228 and the area to the left of 1.00 is 0.8413. So, the percentage of showers between 11.9 and 19.7 gallons is;

P(11.9 < X < 19.7) = P(z1 < z < z2) = P(z < 1) - P(z < -2) = 0.8413 - 0.0228 = 0.8185

Therefore, the percentage of showers that are used between 11.9 and 19.7 gallons is 81.85%.

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Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

The three methods for the evaluation of the accuracy of a classifier are Hold-out method, Cross-validation, and Bootstrap. The major differences among the three methods are explained below:a) Hold-out method:This method divides the original dataset into two parts, a training set and a test set.

The training set is used to train the model, and the test set is used to evaluate the model's accuracy. The advantage of the hold-out method is that it is simple and easy to implement. The disadvantage is that it may have a high variance, meaning that the accuracy may vary depending on the particular training/test split.b) Cross-validation:This method involves dividing the original dataset into k equally sized parts, or folds. This process is repeated k times, with each fold used exactly once as the test set.

The advantage of cross-validation is that it provides a more accurate estimate of the model's accuracy than the hold-out method, as it uses all of the data for training and testing. The disadvantage is that it may be computationally expensive for large datasets, as it requires training and testing the model k times.c) Bootstrap:This method involves randomly sampling the original dataset with replacement to generate multiple datasets of the same size as the original. A model is trained on each of these datasets and tested on the remaining data.

In conclusion, the hold-out method is the simplest and easiest to implement, but may have a high variance. Cross-validation and bootstrap are more accurate methods, but may be computationally expensive for large datasets.

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Answer:

The lines are parallel, with the same slope of 5.

Step-by-step explanation:

Remember that if slopes are the same, then the lines are parallel. If the slopes are opposite reciprocals, they are perpendicular. If they are neither of those cases, then they would be neither.

1) Since y = 5x + 1 is already in slope-intercept format (y = mx + b, in which m represents the slope) we know that 5 is the slope of that equation.

2) To find the slope of -5x + y = 6, let's just convert it to the slope-intercept format by isolating y on the left side like so:

\(-5x + y = 6 \\y = 5x + 6\)

(All you need to do is move -5x to the right side of the equation.) So, by looking at y = 5x + 6, we can do the same thing we did from step 1 and find that the slope is 5.

3) Since both of the equations' slopes are 5, they share the same slope - therefore, they are parallel.

Hope this helps! Please do not hesitate to ask any questions.

The matrix structure combines vertical and horizontal lines of authority, forming a matrix shape in the organization chart.

The matrix structure is a type of organizational structure where both vertical and horizontal lines of authority are present. It involves superimposing product departmentalization on top of functional departmentalization. In this structure, employees are grouped based on their specialized functions, such as marketing, finance, or operations, while also being assigned to specific project teams or product lines.

In a matrix organization, authority flows both vertically and horizontally. Employees report to both a functional manager, who oversees their specialized function, and a project manager or product manager, who is responsible for the specific project or product line they are working on. This creates a dual reporting relationship, as individuals have multiple superiors simultaneously. The matrix structure is often implemented in organizations where there is a need for flexibility, collaboration, and resource sharing across different functions. It allows for efficient coordination and utilization of expertise from different functional areas. However, the matrix structure can also bring challenges such as role confusion, power struggles, and complex communication channels.

Overall, the matrix structure offers a balance between functional specialization and project-focused teamwork, allowing organizations to adapt to dynamic environments and effectively manage complex projects or product lines.

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Answer: 1 cup of sugar; 2 and 1/4 cups of flour; and 1 and 1/2 cups of milk

Step-by-step explanation:

Or simplified; 1 cup of sugar; 9/4 cups of flour; and 3/2 cups of milk

explanation: (do everything times 3)

Answer:

19

Step-by-step explanation:

Answer:

Sherly's Plumbing is : f(x) = 43x + 30 and Howard's Plumbing is f(x) = 28x + 24

sherly's f(7) = 331 and Howard's f(7) = 220

Answer:

1.  144  2. 16 3. 1   4. 3x-6  

Step-by-step explanation:

So think of this as a function in a function.  So you work from the inside to the outside.  So for problem 1, we start with f(4)) [you read it "f of 4"] so what is the solution when x = 4, since f(x) means the function of x so f(4) means 'the function of 4' inside f(x).  

Since f(x) = 3x then f(4) = 3(4) [notice how you substitute the 4 everywhere you see a letter x]

so f(4) = 12, now you work the next part h(f(4)) since f(4)=12 then h(12)

So take the h(x) function which is h(x) = \(x^{2}\) then h(12) = \(12^{2}\) so h(12) = 144

The given function is solved using the power rule. The nth derivative of the given function f(x)=xⁿ is  \(f^{(n)}(x) = n!x^{n-n }= n!\).

The power rule instructs how to differentiate xⁿ. It is used to determine the slope of polynomial functions as well as any other function with a real number exponent.

The given function is considered a power function. This is because the x is raised to the power (n). This n is considered a real number. So the derivative of this function is derived using the power rule.

First, differentiating the given function as follows,

\(\begin{aligned}f'(x)&=nx^{n-1}\\f''(x)&=n(n-1)x^{n-2}\\f'''(x)&=n(n-1)(n-2)x^{n-3}\end{aligned}\)

So observing the pattern, the nth derivative is found as follows, \(f^{(n)}(x) = n!x^{n-n }= n!\)

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The complete question is -

Find the nth derivative of each function by calculating the first few derivatives and observing the pattern that occurs.

f(x)=xⁿ

Answer:

x = 25

Step-by-step explanation:

The mistake here is the squaring. When you square one side, you have to do the same on the other side:

\(\sqrt{3x+6}\) = 9

\((\sqrt{3x+6}) ^{2}\) = \(9^{2}\)

3x + 6 = 81

3x = 75

x = 25

\(\huge\boxed{x=25}\)

The mistake is in Step 1. The solver should have also squared \(9\) when squaring the other side of the equation.

\(\begin{aligned}\sqrt{3x+6}&=9\\(\sqrt{3x+6})^2&=9^2\\3x+6&=81\\3x+6-6&=81-6\\3x&=75\\\frac{3x}{3}&=\frac{75}{3}\\x&=25\end{aligned}\)

The SQL aggregate function that gives the arithmetic mean for a specific column is `AVG()`.

SQL (Structured Query Language) aggregate functions are functions that operate on a set of values and return a single value as a result. These functions are used in SQL queries to perform calculations on groups of rows in a database table.

There are several common aggregate functions in SQL, including:

1. `COUNT()` - returns the number of rows in a table or the number of non-null values in a specific column.

2. `SUM()` - calculates the sum of values in a specified column.

3. `AVG()` - calculates the average value of values in a specified column.

4. `MAX()` - returns the maximum value in a specified column.

5. `MIN()` - returns the minimum value in a specified column.

Aggregate functions are typically used with the `GROUP BY` clause in SQL queries to group the data based on one or more columns and then apply the aggregate function to each group.

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The SQL aggregate function for calculating the arithmetic mean of a specific column is AVG.

The SQL aggregate function that gives the arithmetic mean for a specific column is AVG.

For example, if you have a table called 'students' with a column called 'grades', you can use the AVG function in SQL to calculate the average grade:

SELECT AVG(grades) FROM students;

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Answer:

7 17/99

Step-by-step explanation:

Answer:

$40

Step-by-step explanation:

Multiply 12 by 100 to get 1200 then divide by 30

Answer:

F(x)=x-5

Step-by-step explanation:3 to -5.... x values the 3 and then the -5 is already there. PLUS I DID THE TEST

Answer:

19

Step-by-step explanation:

x^2= 1/2×1/2=1

2x=2×1/2=1

1×8=8

8-1=7

7+(5+7)=19

Answer:

2/3

Step-by-step explanation:

good luck !!

Answer:

Step-by-step explanation:

The measure of side length x in the smaller triangle is 27.

The figure in the image is two similar triangle.

From the diagram:

Leg 1 of smaller triangle DQ = 39

Leg 2 of the smaller triangle DC = x

Leg 1 of larger triangle DB = 26 + 39 = 65

Leg 2 of the larger triangle DR = ( x + 18 )

To determine the value of x, we take the ratio of the sides of the two triangle since they similar:

Hence:

Leg 1 of smaller triangle DQ : Leg 2 of the smaller triangle DC = Leg 1 of larger triangle DB + Leg 2 of the larger triangle DR

DQ : DC = DB : DR

Plug in the values

39 : x = 65 : ( x + 18 )

39/x = 65/( x + 18 )

Cross multiplying, we get:

39( x + 18 ) = x × 65

39x + 702 = 65x

65x - 39x = 702

26x = 702

x = 702/26

x = 27

Therefore, the value of is 27.

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Answer:

5 he'll pay

Step-by-step explanation:

Answer:

14x+12

Step-by-step explanation:

6 + 2(7x + 3)

= 6+14x+6

= 14x+12

The z-score of Lena's flight experience, relative to the pilots association, rounded to two decimal places, is to be determined.

The z-score of Lena's flight experience can be calculated by comparing her flight experience relative to the flight experiences of all the members of the pilots association.

To compute the z-score, we need two pieces of information: Lena's flight experience and the mean and standard deviation of flight experiences within the pilots association.

Let's assume Lena's flight experience is denoted by X and the mean flight experience of the pilots association is denoted by μ (mu), with a standard deviation of σ (sigma).

The z-score formula is given by:

z = (X - μ) / σ

By substituting the appropriate values into the formula, we can calculate Lena's z-score.

Once we have the z-score, we can interpret it as the number of standard deviations Lena's flight experience is from the mean flight experience of the pilots association. A positive z-score indicates that Lena's flight experience is above the mean, while a negative z-score indicates it is below the mean.

To round our answer to two decimal places, we will truncate the z-score calculation after the second decimal point.

Please provide the values of Lena's flight experience, the mean flight experience of the pilots association, and the standard deviation so that I can calculate the z-score for you.

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Answer:

1 is 50 min

Step-by-step explanation:

big brain

Answer:

(x+1)(x+2/)(x-2/)

Step-by-step explanation: