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The image of the point (7, -2) under a reflection across the x axis is (-7,2) true or false

Our result will be any integer between 1 and 950.

it depends on the dataset. Let's understand PCA first:

A statistical method known as principal component analysis, or PCA, reduces the number of dimensions in high-dimensional data by choosing the characteristics that best represent the dataset.

Let's look at two extreme examples.

First, suppose the dataset is composed of points that are almost perfectly aligned. In this case, PCA can reduce the dataset down to just one dimension while still preserving 95% of the variance.

Imagine that the dataset is made up of 1,000 completely random points that are dispersed throughout the dataset.

In this instance, 95% of the variance must be preserved with about 950 dimensions. The dataset will determine the result, which might be any integer between 1 and 950.

Plotting the explained variance as a function of the number of dimensions is one way to get a rough idea of the dataset's intrinsic dimensionality, so it depends on the database.

So, our final answer will be any integer from 1 to 950.

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\(\sqrt{-245}\implies \sqrt{(-1)(245)}\implies \sqrt{-1}\sqrt{245}\implies i\sqrt{49\cdot 5} \\\\\\ i\sqrt{7^2\cdot 5} \implies 7\sqrt{5}~i\)

Answer:

9m^4

and if its completely not in exponent form it would be

9m x 9m x 9m x9m

Step-by-step explanation:

That's how you write it with and without the  exponent symbol, hope it helps

The written expression of the 9m to the fourth power without exponents​ should be \(9m^4\)

Since we have to write 9m to the fourth power

So it could be like

\(9m \times 9m \times 9m \times 9m\)

\(9m^4\)

Hence, The written expression of the 9m to the fourth power without exponents​ should be \(9m^4\)

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Answer:

1/8

Step-by-step explanation:

The answer before you simplyify will be 24/4. that = 6

111.51 is the probability of the random sample of 15 people that 4 of them are left-handed.

P(exactly x out of n) = (n! ÷ (x! × (n - x)!)) × \(p^{x}\) × \((1 - p)^{n - x}\).

where n = number of trials = 15.

p = probability of selecting one lefty in one trial = 10% or 0.1

x = probability which needs to be deduced = 4.

P(exactly 4 out of 10) = (10! ÷ (4! × (10 - 4)!)) × \(1^{4}\) × \((1 - 0.1)^{10 - 4}\).

P(exactly 4 out of 10) = (10! ÷ (4! × 6!)) × \(1^{4}\) × \((0.9)^{6}\).

P(exactly 4 out of 10) = 210 × \(1^{4}\) × \((0.9)^{6}\).

P(exactly 4 out of 10) = 210 × 1 ×0.531

P(exactly 4 out of 10) = 111.51

The probability that 4 of them are left-handed is 111.51.

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Using compatible numbers and adjusting them helps us to perform mental math and make calculations faster. This method also helps us to estimate answers and check if the actual answer is reasonable or not.

To find sums, I would prefer to use the method of using compatible numbers and adjusting. The reason behind this is that it can help me to perform mental calculations and solve mathematical problems faster.What are compatible numbers?Compatible numbers are numbers that are close to the actual numbers, but are easier to work with mathematically. They are rounded numbers that make it easier to perform mental math. Once we have the answer, we can adjust it to get the correct answer.To solve an addition problem using compatible numbers, we choose numbers close to the actual numbers in the problem. For example, if we are adding 45 and 32, we can round the numbers to 50 and 30. Then we add 50 and 30 to get 80, which is the compatible number sum. But this is not the actual answer because we rounded the numbers, so we need to adjust. We subtract 5 from 50 and add 3 to 30 to get 45 and 33, respectively. Then we add the adjusted numbers (45 and 33) to get the correct answer, which is 78.Using compatible numbers and adjusting them helps us to perform mental math and make calculations faster. This method also helps us to estimate answers and check if the actual answer is reasonable or not.

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Answer:

=-21x-24

Step-by-step explanation:

Answer: I think the answer is 1046 x  −  26 please let me know if this is wrong please .

Step-by-step explanation:

Answer:

d. 11

Step-by-step explanation:

Ratio of corresponding sides:

Correct option is d. 11

We can write a ratio.

4.6/5.1 = x/12

Simplify.

4.6/5.1 = x/12

4.6/5.1 * 12 = x/12 * 12

x = 11

Best of Luck!

from the question;

we to find |x| when x = 15 and when x = -15

by definition of absolute value we have

Thats for every value of x, the absolute value is always positive

Hence,

Also

Therefore the correct answer is

Both values are 15

option B

Answer:

S = k√(m2 ± n2). divide both sides by k. s/k = √(m2 ± n2). Take the square of both sides to remove the square root on the right-hand side.

Step-by-step explanation:

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The true positive rate measures the ratio of correctly classified positive instances to the total positive count and provides insights into a model's effectiveness in identifying positive cases accurately.

In estimating the accuracy of data mining or other classification models, the true positive rate refers to the ratio of correctly classified positives divided by the total positive count. It is an important evaluation metric used to measure the effectiveness of a model in correctly identifying positive instances.

To understand the true positive rate (TPR) in more detail, let's break down the components of the definition.

Firstly, "positives" in this context refer to instances that belong to the positive class or category that we are interested in detecting or classifying. For example, in a medical diagnosis scenario, positives could represent patients with a certain disease or condition.

The true positive rate is calculated by dividing the number of correctly classified positive instances by the total number of positive instances. It provides insight into the model's ability to correctly identify positive cases.

For instance, let's assume we have a dataset of 100 patients, and we are interested in predicting whether they have a certain disease. Out of these 100 patients, 60 are diagnosed with the disease (positives), and 40 are disease-free (negatives).

Now, let's say our classification model predicts that 45 patients have the disease. Out of these 45 predicted positives, 30 are actually true positives (correctly classified positive instances), while the remaining 15 are false positives (incorrectly classified negative instances).

In this case, the true positive rate would be calculated as follows:

True Positive Rate (TPR) = Correctly Classified Positives / Total Positive Count

TPR = 30 (Correctly Classified Positives) / 60 (Total Positive Count)

TPR = 0.5 or 50%

So, in this example, the true positive rate is 50%. This means that the model correctly identified 50% of the actual positive cases from the total positive count.

It's important to note that the true positive rate focuses solely on the performance of the model in classifying positive instances correctly. It does not consider the accuracy of negative classifications.

To evaluate the accuracy of negative classifications, we use a different metric called the true negative rate or specificity, which represents the ratio of correctly classified negatives divided by the total negative count. This metric assesses the model's ability to correctly identify negative instances.

In summary, the true positive rate measures the ratio of correctly classified positive instances to the total positive count and provides insights into a model's effectiveness in identifying positive cases accurately.

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Convenience sampling is not a type of statistical sampling.

What is statistical sampling?

Sampling techniques in a statistical study refer to how participants are chosen from the population to participate in the study.

If a sample isn't chosen at random, it will likely be skewed in some way, and the results might not be generalizable.

Main body:

Simple random sample:

Each individual and group of individuals have the same chance of being selected for the sample. To obtain a basic random sample, one needs technology, random number generators, or some other type of chance mechanism.

stratified Random sample :

The population is first divided into sections. There are some people from each group in the overall sample. Each group's participants are chosen at random.

Cluster sampling:

Grouping the population first, a cluster random sample is taken. Every member of some of the groups makes up the overall sample. The selection of the groups is random.

Hence Convenience sampling is not a type of statistical sampling.

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Answer:

8.66

Step-by-step explanation:

because when you know the long leg you multiply 3 square root by the long leg in this case 5

The total cost of the coat, including the additional 30% clearance discount and 8.5% sales tax, would be $73.51.

Let's calculate the total cost step by step.

First, we apply the 20% sale discount to the original price of $100:

Sale Price = $100 - (20% of $100) = $100 - $20 = $80

Next, we calculate the additional 30% discount on the sale price:

Discounted Price = $80 - (30% of $80) = $80 - $24 = $56

Now, we need to add the sales tax of 8.5% to the discounted price. Sales tax is calculated as a percentage of the final price:

Sales Tax = 8.5% of $56 = $56 * 0.085 = $4.76. Finally, we add the sales tax to the discounted price to find the total cost:

Total Cost = Discounted Price + Sales Tax = $56 + $4.76 = $60.76 Therefore, the total cost of the coat, including the additional 30% clearance discount and 8.5% sales tax, would be $73.51.

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Answer:

Both functions are decreasing and have different rates of change.

Step-by-step explanation:

Answer:

  90 cm²

Step-by-step explanation:

You want the area of a figure that can be described as a 12 cm by 9 cm rectangle with a 6 cm by 3 cm rectangle removed from it.

You can figure the area of this a number of ways. One is to look at the rectangle that bounds it, and subtract the portions of that rectangle that are not included in the figure.

Here, the shaded area is the difference between the "bounding" 12 × 9 cm rectangle area and the "missing" 6 × 3 cm rectangle area:

  Area = (12 cm)(9 cm) -(6 cm)(3 cm) = 108 cm² - 18 cm² = 90 cm²

The area of the figure is 90 cm²

__

Additional comment

Lines have been drawn that divide the figure into three smaller shapes: a rectangle that is 12 cm by 6 cm, and two squares that are 3 cm by 3 cm.

The shaded area is the total of these:

  (12 cm)(6 cm) + 2(3 cm)(3 cm) = 72 cm² +2(9 cm²) = (72 +18) cm² = 90 cm²

The area should be (and is) the same, regardless of how you compute it.

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Answer:

4x−2

Step-by-step explanation:

Answer:

4x -2

Step-by-step explanation:

-2x+3-(5-6x)

Distribute the minus sign

-2x+3-5+6x

-2x+6x +3-5

4x -2

The given function has one saddle point at $(0,0)$ and no local maximum or minimum values.

The given function is, $$f(x,y)=3-x^2+2x^2-y^2$$

The partial derivative of this function are: $$f_x=-2x$$$$f_y=-2y$$Setting $f_x=0$, we have $$-2x=0$$$$x=0$$

Thus, any stationary point must lie on the $y-$axis.

Setting $f_y=0$, we have $$-2y=0$$$$y=0$$

Thus, any stationary point must lie on the $x-$axis. Hence the only stationary point is $(0,0)$.

The second order partial derivatives are, $$f_{xx}=-2$$$$f_{xy}=0$$$$f_{yx}=0$$$$f_{yy}=-2$$

Then, the determinant of the Hessian matrix of $f$ is $$\ Delta=f_{xx}f_{yy}-f_{xy}f_{yx}$$$$=(-2)(-2)-(0)(0)=4$$

Also, $$f_{xx}=-2<0$$$$\Delta>0$$. Thus, we see that $(0,0)$ is a saddle point of $f$.

Hence the local maximum and minimum value is not applicable for this function. The point $(0,0)$ is a saddle point. The 3D graph of the function is shown below:  

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At the moment when the radius is 12 inches, the balloon is inflating at a rate of 20 cubic inches per second.

To determine the rate at which the radius is changing, we can use the formula for the volume of a sphere, which is given by \(V = \left(\frac{4}{3}\right)\pi r^3\), where V is the volume and r is the radius.

Taking the derivative of both sides with respect to time t, we get \(\frac{dV}{dt} = 4\pi r^2\left(\frac{dr}{dt}\right)\), where \(\frac{dV}{dt}\) represents the rate of change of volume with respect to time and \(\frac{dr}{dt}\) represents the rate of change of radius with respect to time.

Given that \(\frac{dV}{dt} = 20\) cubic inches per second, we can substitute this value into the equation and solve for \(\frac{dr}{dt}\) when r = 12 inches:

\(20 = 4\pi (12)^2 \left(\frac{dr}{dt}\right)\)

Simplifying the equation:

\(20 = 576\pi \left(\frac{dr}{dt}\right)\)

Dividing both sides by 576π:

\(\left(\frac{dr}{dt}\right) = \frac{20}{576\pi}\)

Therefore, the rate at which the radius is changing when the radius is 12 inches is approximately \(\frac{20}{576\pi}\) inches per second.

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The probability of getting a number < 9 is 28/37.

What is probability?

The ratio of good outcomes to all possible outcomes of an event is known as the probability. It has a range from 0 to 1.

Probability(Event) = Favorable Outcomes / Total Outcomes

Main Body:

Total numbers on the spinner greater than 9  = 37 - 10 + 1 = 28

(we are subtracting 10 because we need number that is greater than 10.)

and adding 1 because both the ends of interval is counted.

total numbers on spinner =37

P( x>9) = 28/37.

Hence the probability of getting a number greater than 9 on spinning is 28/37.

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Answer:

A = 32°. b = 22.4. c = 26.4

Step-by-step explanation:

Opposite is called opposite because it is the side that is opposite the angle we need to find. in this case, b is opposite side.

Hypotenuse (c) is always facing the 90-degree angle.

Adjacent (14) is the remaining side.

Sine = O/H = b/c

Cosine = A/H = 14/c

Tangent = O/A = b/14

In a right-angled triangle, a^2 + b^2 = c^2

Sine rule:   a/SIN A  =  b/SIN B  =   c/SIN C

angles in a triangle add up to 180

angle A = 180 - 90 - 58 = 32°.

b/SIN 58  = 14/SIN 32, b = (14 X SIN 58) / SIN 32 = 22.4.

c² = 14² + 22.4². c = 26.4

Answer:

$69.40

Step-by-step explanation:

$9.50 × 6 = $57

$57 + $12.40 = $69.40

Answer:

I don't understand the question but I think the answer is either 10 or 30

\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Let's find the equivalent expressions ~

#1. PROBLEM

\(\qquad \tt \dashrightarrow \:11x - 4x + 10x\)

\(\qquad \tt \dashrightarrow \:21x - 4x\)

\(\qquad \tt \dashrightarrow \:17x\)

#2. PROBLEM

\(\qquad \tt \dashrightarrow \:2(1 + 8y)\)

\(\qquad \tt \dashrightarrow \:(2 \times 1) + (2 \times 8y)\)

\(\qquad \tt \dashrightarrow \:2 + 16y\)

There are 154 ways to select a committee of 4 students out of 10 students if 2 of the students refuse to serve together.

To select a committee of 4 students out of 10 students with 2 of them refusing to serve together, we can use the principle of inclusion and exclusion.

First, we calculate the total number of ways to select 4 students out of 10, which is given by the combination formula:

C(10,4) = 10! / (4! * 6!) = 210

Next, we calculate the number of ways to select 4 students out of the 8 who are willing to serve together:

C(8,4) = 8! / (4! * 4!) = 70

However, we have to subtract the number of ways that the two students who refuse to serve together are selected. Since there are 2 such students, there are 2 ways that they can be included in the committee of 4.

For each of these cases, we have to select 2 students out of the remaining 8 who are willing to serve together:

C(8,2) = 8! / (2! * 6!) = 28

Thus, the number of ways to select a committee of 4 students out of 10 students with 2 of them refusing to serve together is:

210 - 2 * 28 = 154

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Answer:

y=33x-4

Step-by-step explanation:

Answer:

Tuesday

Step-by-step explanation:

Given:

Monday: $1

Tuesday: $2

Wednesday: $3

Thursday: $4

Friday: $5

Saturday: $6

Sunday: $7

And after 24 days he had $93

____

So lets convert 24 days into weeks. A week has 7 days we divide 24/7 and get 3.42857 weeks or just have it as 3 weeks and 3 days.

24 days = 3 weeks and 3 days

Now we want to know how much does Eli make in 1 week, we add all the numbers 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28

Eli makes $28 in one week. And (28x3) in three weeks which is $84.

Now that we know that Eli made $84 in three weeks, we have three days left - now we calculate the difference.

93 - 84 = 9

Now these 9 dollars are split into three days. This means he started on Tuesday since Saturday is $7 and Monday is $1 and that sums it up to $8 and the first dollar was placed in his piggy bank on a Tuesday.