Find the missing side
17 cm
1319
a
area = 25 cm²

Answer:

y= -2x + 5

Step-by-step explanation:

Parallel equations share the same slope so, you need to take the x coordinate and multiply it by the slope which is -2, and you should get 0. To get from 0 to 5 we need to add 5, so 5 is your y-intercept.

The probability sampling method in which you randomly select one of the first k elements and then select every k element thereafter is known as c. systematic sampling. Therefore, option c. systematic sampling is correct.

Systematic sampling is a probability sampling technique where the sample is chosen by selecting every kth element from the population, where k is a constant. This method is often used when the population is large and the complete list of elements is not easily available.

Stratified random sampling is a technique where the population is divided into strata or subgroups based on certain characteristics and a random sample is chosen from each stratum.

Cluster sampling involves dividing the population into clusters or groups and then selecting a random sample of clusters. The elements within each selected cluster are then included in the sample.

Convenience sampling is a non-probability sampling method where the sample is chosen based on convenience and availability. This method is often used in situations where it is difficult or expensive to obtain a random sample.

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In addition to the Gini index and Entropy, there are other parameters that can be used to measure purity or determine the best split in a decision tree. Two commonly used parameters are: Classification Error , Gini Gain.

Classification Error (Misclassification Error):

The classification error, also known as the misclassification error, measures the fraction of misclassified instances in a node. It calculates the probability of misclassification by assigning the majority class label to all instances in the node. The classification error is given by the formula:

Classification Error = 1 - (max(p1, p2, ..., pk))

where p1, p2, ..., pk are the proportions of each class in the node.

A lower classification error indicates a purer node, where the majority of instances belong to a single class.

Gini Gain:

Gini gain is a measure of the reduction in the Gini index achieved by splitting a node based on a particular feature. It quantifies how much the impurity or randomness decreases after the split. Gini gain is calculated by subtracting the weighted average of the Gini indices of the resulting child nodes from the Gini index of the parent node. The feature with the highest Gini gain is chosen as the best split.

Gini Gain = Gini Index(parent) - (Weighted Average of Gini Indices of Child Nodes)

A higher Gini gain indicates a better split that maximizes the reduction in impurity.

These parameters, like the Gini index and Entropy, help in determining the purity of nodes and finding the optimal splits in a decision tree algorithm. By evaluating multiple parameters, the decision tree can make informed choices about the features and splits that lead to the most homogeneous and informative subsets of data.

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Answer:

4s²

Step-by-step explanation:

Hope this helps :)

pls mark as brainliest :))

Answer:

130 skittles

Step-by-step explanation:

Since Sarah is the 2 side of the ratio, i divided her side of it by 2 so i could multiply by 5 to get the full bag. 3:2 = 78:52 skittles

Answer:

V≈743.25

Step-by-step explanation:

V=5

12tan(54°)ha2=5

12·tan(54°)·4·182≈743.24624

Answer:

A.)x=6

B.)x=16

did u mean to solve it or do something else if this is not the way u mean i can do another way if u like

The function that represents the same relationship is \(y = 3.75 * (0.8)^x.\)

From the table, we can observe that as the value of x increases by 1, the corresponding value of y decreases by a constant factor. This indicates an exponential relationship between x and y.

To determine the function that represents this relationship, we can use the general form of an exponential function, \(Y=a * (b)^x,\) where a and b are constants.

By examining the given data points, we can see that when x = 0, y = 3. Therefore, the value of a in the exponential function is 3. Additionally, when x increases by 1, y decreases by a factor of 0.8. This implies that the base of the exponential function is 0.8.

Combining these observations, we can express the relationship between x and y as \(y = 3 * (0.8)^x.\) This function accurately models the data in the table, as the values of y decrease exponentially as x increases.

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Answer:

perpendicualr

Step-by-step explanation:

The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

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

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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Answer:

Scientific notation is used to write very large or very small numbers using less digits. ... See how scientists use this notation to describe astronomical distances, such as the distance between planets, or microscopic distances, such as the length of a blood cell.

Step-by-step explanation:

These are just a few examples of how scientific notation is used in the real world. Its versatility allows scientists, engineers, mathematicians, and professionals from various disciplines to work with numbers efficiently and communicate effectively across different scales.

Scientific notation, also known as exponential notation, is widely used in various fields to express very large or very small numbers in a more convenient and concise format. Here are some examples of how scientific notation is used in the real world:

Astronomy: Scientific notation is essential in astronomy to represent the vast distances between celestial objects. For instance, the distance between the Earth and the Sun is approximately 93 million miles or 1.496 × 10²kilometers.

Physics: Scientists often use scientific notation to express the values of physical constants, such as the speed of light (2.998 × 10^8 meters per second) or the Planck constant (6.62607015 × 10^-34 joule-seconds).

Chemistry: Scientific notation is commonly used in chemistry to express the magnitude of extremely small or large quantities of substances. For example, Avogadro's number, which represents the number of atoms or molecules in one mole of a substance, is approximately 6.022 × 10².

Medicine: In medical and biological sciences, scientific notation is employed to represent quantities such as cell counts, enzyme activity, or concentrations of substances. It allows scientists and healthcare professionals to work with numbers that span a wide range, from tiny quantities to large-scale measurements.

Finance and Economics: Scientific notation is useful in financial and economic calculations, especially when dealing with large numbers such as national debt, gross domestic product (GDP), or company revenues. It simplifies the representation and manipulation of these values.

Engineering: In various engineering disciplines, scientific notation is used to express measurements and quantities, such as distances, weights, electrical currents, and voltages. It enables engineers to work with both very large and very small values encountered in their calculations and designs.

Computer Science: Scientific notation is employed in computer science to represent large or small numbers in computer programming. It is particularly useful when dealing with values that exceed the capacity of standard data types or when expressing very small probabilities or error values.

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The price for a litre will be $0.55.

A unit conversion expresses the same property as a different unit of measurement.

Given that, A gas station is charging $2.09 per gallon of gas.

1 gallon = 3.78541 litres

1 litre = 1/3.78541 gallon

Price for 1 litre = 1/3.78541 *2.09

= $0.55

Hence, The price for a litre will be $0.55.

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Answer:

B

Step-by-step explanation:

The explanation is attached below.

Answer:

√3 + 24/5 or 6.532

Step-by-step explanation:

I hope this helps.

Many children develop the ability to do simple arithmetic problems during their early childhood years, typically between the ages of 4 and 6. Correct option is a).

During this time, children start to understand basic mathematical concepts such as counting, addition, and subtraction. They may also begin to recognize and name numbers and use basic math vocabulary. However, it's important to note that every child develops at their own pace and some may show these skills earlier or later than others. It's also important for parents and caregivers to provide opportunities for children to practice and reinforce these skills through activities such as counting objects, playing number games, and solving simple math problems.

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The number of ways to arrange distinguishable objects on an n x n chessboard such that no two objects are in the same row or column is given by: n! / (n^n)

The problem you described is known as the "non-attacking rooks problem" or the "n-queens problem." It involves arranging distinguishable objects (rooks or queens) on an n x n chessboard such that no two objects are in the same row or column. The question asks for the number of ways this can be done.

The number of ways to arrange the objects can be calculated using combinatorics. For the first object, there are n choices for its position on the first row. For the second object, there are (n-1) choices for its position on the second row (excluding the column already occupied by the first object). Similarly, for the third object, there are (n-2) choices for its position on the third row, and so on.

Therefore, the total number of ways to arrange the objects without any restrictions is given by n x (n-1) x (n-2) x ... x 2 x 1, which is n!.

However, we need to consider that the objects cannot be in the same row or column. This means that after placing the first object, the second object must be placed in a different row. After placing the second object, the third object must be placed in a different row from both the first and second objects, and so on.

Using combinatorial reasoning, we can determine that the number of ways to arrange the objects without any restrictions divided by the number of ways they can be arranged on the chessboard without the row or column restrictions gives us the total number of valid arrangements.

Therefore, the number of ways to arrange distinguishable objects on an n x n chessboard such that no two objects are in the same row or column is given by:

n! / (n^n)

where n! denotes the factorial of n.

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Answer:

Matthew gets $18

Step-by-step explanation:

Since Deidra got $12, and they split the $30, Matthew will get $30-$12, or $18. You can also check your answer by finding that 12:18 is in fact a ratio of 2:3 by dividing both sides by 6.

Answer:

20,160.

Step-by-step explanation:

The value of x in the equation –x (–1) = 3x (–5) is x = 1

Linear equations are equations that have constant average rates of change, slope or gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the equation is given as

–x (–1) = 3x (–5)

Remove the bracket in the above equation

-x - 1 = 3x - 5

Collect the like terms in the above equation

3x + x = 5 - 1

Evaluate the like terms in the above equation

4x = 4

Divide both sides by 4 in the above equation

x = 1

Hence, the value of x in the equation –x (–1) = 3x (–5) is x = 1

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Answer:

-3, or D

Step-by-step explanation:

The probability that a player will get an extra turn is 1/2 or 50%.

There are four possible outcomes when a player spins the spinner: 1, 2, 3, or 4. The probability of spinning a one or a three is 2/4 or 1/2, since there are two favorable outcomes out of four equally likely outcomes.

If a player spins a one or a three, they get an extra turn, which gives them another chance to spin the spinner. Since the probability of spinning a one or a three is 1/2, the probability of getting an extra turn is also 1/2.

Therefore, the probability that a player will get an extra turn is 1/2 or 50%.

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Thus, the magnitude of value of |a+b| is Sqrt (9), which simplifies to just 3.

To find the magnitude of the sum of two vectors, we need to add the two vectors together and then take the square root of the sum of their squares.

So, let's first add the two vectors together:

a+b = (3i+4j-4k) + (-2i-6j+2k)
    = i - 2j - 2k

Now, we can find the magnitude of this vector by squaring each of its components, summing them, and then taking the square root:

|a+b| = sqrt((1^2) + (-2^2) + (-2^2))
     = sqrt(1 + 4 + 4)
     = sqrt(9)
     = 3

Therefore, the value of |a+b| is Sqrt (9), which simplifies to just 3.

In summary, the magnitude of the sum of two vectors can be found by adding the vectors together, squaring each of their components, summing them, and then taking the square root.

For the given vectors a=3i+4j-4k and b=-2i-6j+2k, their sum is i - 2j - 2k, and the magnitude of this vector is 3.

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The length of side AB of the isosceles triangle is 8x + 5.

The formula for finding the length of a isosceles triangle side is given by:

Length of side = √x² +  y²

Where x and y are the lengths of the other two sides.

To find the length of the side AB, we need to first calculate x and y. We know that BC = 4x + 4 and CA = 3x + 9.

Therefore, \(x = BC - CA = 4x + 4 - 3x - 9 = x + -5\)

And \(y = CA - BC = 3x + 9 - 4x - 4 = -x + 5\)

Substituting these values in the formula, we get:

Length of side AB = √((x + -5)² + (-x + 5)²)

= √((x² + 25) + (x² + 25))

= √(2x² + 50)

= √(2(8x + 5)²)

= √(16x2 + 80x + 25)

= 8x + 5

Therefore, the length of side AB is 8x + 5.

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Answer:

$2.00

Step-by-step explanation:

Round the Price up to $40, then multiply 40 x 0.05 to get 5% of $40. Answer $2

Answer:

Solution,

Here,∠FGD=∠CGE=30°[Being vertically opposite angles]

Now  we have,

90°+∠CGE+x=180°

or,90°+30°+x=180°

0r,x=180°-30°-90°

→x=60°

Step-by-step explanation:

Answer:

B. 173.25 cm^2

Step-by-step explanation:

just multiply them all.

Answers:

10. b. \(\displaystyle 13\)

9. b. \(\displaystyle 20\)

8. a. \(\displaystyle 33\)

7. a. \(\displaystyle 25°\)

Step-by-step explanations:

10. Both segments are considered congruent, so turn both expressions into an equation:

\(\displaystyle 3x - 5 = x + 7 \hookrightarrow \frac{-12}{-2} = \frac{-2x}{-2} \\ \\ 6 = x\)

Plug this back into the equation to get \(\displaystyle 13\)on both sides.

9. All edges in a square obtain congruent right angles and edges, so set \(\displaystyle 45\)equivalent to the given expression:

\(\displaystyle 45 = 2x + 5 \hookrightarrow \frac{40}{2} = \frac{2x}{2} \\ \\ \boxed{20 = x}\)

8. Both angles are considered supplementary, so turn both expressions into an equation and set it to one hundred eighty degrees:

\(\displaystyle 180 = (4x - 15)° + (x + 30)° \hookrightarrow 180° = (15 + 5x)° \hookrightarrow \frac{165}{5} = \frac{5x}{5} \\ \\ \boxed{33 = x}\)

7. In this rectangle, segment EO is a segment bisectour, making these angles Complementary Angles. Therefore, set an equation up to find its complement:

\(\displaystyle 90° = 65° + m\angle{VOE} \\ \\ \boxed{25° = m\angle{VOE}}\)

I am joyous to assist you at any time.

Promotion 50√2 (or about 70.7) coupons need to be sent in order to get 100 customers to make a purchase.

The given problem states that around 80% of customers who receive a promotion coupon will visit the store. But only 20% of those in the store will make a purchase.

The problem asks us to determine how many promotion coupons have to be sent in order to get 100 customers to make a purchase.

Therefore, let the number of coupons to be sent be x.

Then, 80% of x people will visit the store. Therefore, the number of people who will visit the store is

(80/100)x or (4/5)x people.

However, only 20% of those in the store will make a purchase.

Therefore, the number of customers who make a purchase is (20/100) x (4/5)x = (1/25)x² customers.

We need to find x such that (1/25)x² = 100.

Therefore, x² = 25 × 100. Hence, x = √2500 or x = 50√2.

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