Solve for x
3x/2 - 2 > 7​

The most specific name for the figure is an isosceles trapezoid

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

The figure

The properties of the given figure are

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

The figure is a trapezoid

Because the nonparallel sides are congruent, then the most specific name for the figure is an isosceles trapezoid

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Answer:

x = 18

Step-by-step explanation:

7x - 24 is a verticasl angle with an angle that is an...

Alternate interior angle with the combines values of 49 and 3x so they  are equal

49 + 3x = (7x -23)

72 = 4x

x = 18

Answer:

9,2,8

Step-by-step explanation:

A whole number is a number with no fractions or Integers.

The PDF describes the rate at which probability is accumulating around a given point, while the CDF gives the probability that the random variable takes on a value less than or equal to a given value.

The probability density function (PDF) and cumulative distribution function (CDF) are two different ways of representing the same information about a probability distribution.

The PDF gives the probability density of a continuous random variable at a particular point in its domain. In other words, the PDF gives the rate at which the probability is accumulating around a given point. The area under the PDF curve between two points represents the probability of the random variable taking on a value between those two points.

On the other hand, the CDF gives the probability that a random variable is less than or equal to a given value. The CDF is the integral of the PDF from negative infinity up to that value.

Therefore, the CDF and PDF are related by integration: The CDF is the integral of the PDF, and the PDF is the derivative of the CDF.

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The given question is incomplete, the complete question is:

What is the relationship between the cumulative distribution function and the probability density function?

Answer:

length of each side is 2 metres

Step-by-step explanation:

square area = b^2

4 square m = b^2

square root of 4 = b

therfore b = 2

The true statements about these triangles are: B. I and II.

Based on the diagram (see attachment), we can logically deduce the following points in accordance with circle theorem:

In conclusion, we can logically deduce that the true statements about these triangles are I and II only.

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The result of 490 divided by 7 is 70.

To calculate 490 divided by 7, we can perform long division as follows:

        70

   __________

7  |  490

   -  49  (7 times 7)

   _______

         0  (no remainder)

In the first step, we divide 7 into the first digit of 490, which is 4. The quotient is 0, and we bring down the next digit, which is 9.

Next, we divide 7 into 49. The quotient is 7, and there is no remainder.

Therefore, the answer to 490 divided by 7 is 70.

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The base area will be 198 square units

The formula for calculating the volume of a prism is expressed as:

B = x = base area

H is the height = 4.9 units

V = 323.4 units^3

Substitute

3(323.4) = 4.9x

x = 198

'Hence the base area will be 198 square units

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A confidence interval is constructed to estimate the value of a parameter.

In statistics, a parameter refers to a numerical characteristic of a population, such as the population mean or population proportion. When we want to estimate the value of a parameter, we construct a confidence interval.

A confidence interval provides a range of values within which we believe the true parameter value is likely to fall, based on our sample data. It is constructed using sample statistics and takes into account the variability and uncertainty in the estimation process.

A confidence interval is constructed to estimate the value of a parameter, not a statistic.

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One-liner code to create the "next_month" Series in Jupyter Notebook: ```python

next_month = (P.shift(-21) - P) / P

```

Jupyter Notebook is an open-source web application that allows you to create and share documents containing live code, visualizations, and explanatory text. It supports various programming languages, but it is commonly used with Python for data analysis, scientific computing, and machine learning tasks.

Jupyter Notebook provides an interactive environment where you can execute code cells and see the results immediately, which makes it a popular choice among data scientists and researchers.

To get started with Jupyter Notebook, you need to install it on your local machine or use an online service that provides Jupyter Notebook functionality. Once you have it set up, you can create a new notebook or open an existing one.

Now, let's move on to creating the `next_month` Series based on the formula you provided. I assume you have a time series of stock market prices stored in a pandas Series called `market_prices`. To calculate the return over the following 21 days, we can use the formula:

\(\[ \text {Next Month } h_{t}=\frac{P_{t+21}-P_{t}}{P_{t}} \]\)

Here's an example code snippet that demonstrates how you can calculate the `next_month` Series using pandas in a Jupyter Notebook:

```python

import pandas as pd

# Assuming you have a Series of market prices

market_prices = pd.Series([100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210])

# Calculate the return over the following 21 days

next_month = (market_prices.shift(-21) - market_prices) / market_prices

# Display the result

print(next_month)

```

In the code snippet above, we import the pandas library and create a Series called `market_prices` with sample data. The `shift()` function is used to shift the Series forward by 21 days, and then we subtract the original `market_prices` from the shifted Series.

Finally, we divide the difference by the original `market_prices` to get the return as a fraction. The result is stored in the `next_month` Series.

You can execute this code cell in Jupyter Notebook by selecting it and pressing the "Run" button or using the keyboard shortcut (usually Shift + Enter). The output will be displayed below the code cell, showing the values of the `next_month` Series based on the provided formula.

That's it! You now have the `next_month` Series containing the return of the market over the following 21 days. Feel free to modify the code or adapt it to your specific needs.

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Answer:

103.8

Step-by-step explanation:

Length of diagonal of a cube is given by the formula:

\(d = side \times \sqrt{3} \\ \\ \therefore \: d = 60 \times \sqrt{3} \\ \\ \therefore \: d = 60 \times 1.73 \\ \\ \therefore \: d = 103.8 \: units\)

The length of the diagonal of the cube is 103.9 units.

What is a cube?

A cube is a three dimensional figure or object which has all the side with equal length.

The length of each side of the cube = a = 60 units.

Therefore, the length of the diagonal of the cube = d = a\(\sqrt{3}\) = 60\(\sqrt{3}\) units = 103.9 units.

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Answer:

-0.7071.

Step-by-step explanation:

The value of function sin 315 is -1/2.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Sin 315 degrees can be found by using the unit circle.

The unit circle is a circle with the radius of one centered at the origin of a coordinate plane.

Every point on the unit circle is a point that is one unit away from the origin.

The unit circle is used to help find the exact values of the trigonometric functions at specific angles.

The angle 315 degrees is in the fourth quadrant of the unit circle, so the x-coordinate is negative and the y-coordinate is negative.

Using the x-coordinate, we can calculate the sine to be -1/2.

Hence, the value of function sin 315 is -1/2.

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Answer:

odd; even; even; odd

Step-by-step explanation:

The answers are odd, even, even, and odd respectively the graph is symmetric about the y axis it is an even function.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We know when the graph is symmetric about the origin it is an off function.

When the graph is symmetric about the y axis it is an even function.

When f(-x) = f(x) it is an even function

When f(-x) = -f(x) it is an odd function.

Thus, the answers are odd, even, even, and odd respectively the graph is symmetric about the y axis it is an even function.

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The probability of drawing a picture card or a clubs is: 6/52 + 13/52 - 4/52 = 25/52

The probability of drawing a picture card (jack, queen, king, or ace) or a clubs from a deck of 52 cards can be calculated by adding the probability of drawing a picture card to the probability of drawing a clubs, and then subtracting the probability of drawing a card that is both a picture card and a clubs (since this would be counted twice in the previous two probabilities).

The probability of drawing a picture card is 16/52 (since there are 16 picture cards in the deck of 52 cards). The probability of drawing a clubs is 13/52 (since there are 13 clubs in the deck of 52 cards). The probability of drawing a card that is both a picture card and a clubs is 4/52 (since there are 4 picture cards that are also clubs).

Therefore, the probability of drawing a picture card or a clubs is:

16/52 + 13/52 - 4/52 = 25/52

Simplifying, this is equivalent to:

5/13 or approximately 0.385 or 38.5%

In other words, there is a 38.5% chance of drawing a picture card or a clubs from a deck of 52 cards.

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Answer:

The true statements

Step-by-step explanation:

lol

Answer:

B

Step-by-step explanation:

Option B) The IQR is the best measure of variability and equals 4, is the appropriate answer.

Explanation:

The range (highest value minus lowest value) is a measure of variability, but it can be sensitive to outliers, which are extreme values that are significantly different from the other values. In this case, the highest value (19) is significantly different from the other values, so the range would not be the best measure of variability.

The mean (average) is also a measure of variability, but it can also be sensitive to outliers. In this case, the mean would be approximately 11.0, but again, the value of 19 is significantly different from the other values, so the mean would not be the best measure of variability.

The median (middle value) is a more robust measure of variability, as it is not affected by outliers. In this case, the median is 10, which gives some indication of the typical or central value of the data.

The interquartile range (IQR) is another robust measure of variability, which is defined as the difference between the third quartile (Q3) and the first quartile (Q1). The quartiles divide the data into quarters, so that 25% of the data falls below Q1, 50% falls below the median, and 75% falls below Q3. In this case, Q1 is 7 and Q3 is 11, so the IQR is 11 - 7 = 4. The IQR gives some indication of the spread of the middle 50% of the data, and is not affected by outliers. Therefore, the appropriate measure of variability for this data is the IQR, and its value is 4.

Answer:

Step-by-step explanation:

27 bananas

18 oranges

27 prime factorization=3*3*3

18 prime factorization=3*3*2 (i know this is the wrong order)

So

27=9*3

18=9*2

2 oranges to 3 bananas

2:3

Answer:

18:27 or 2:3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Mean 140 grams

Standard deviation 22.4 grams

Step-by-step explanation:

What would the mean and standard deviation of these apples' weights be as determined by this scale? (Note: 1 ounce ≈ 28 grams).

Mean = 5.2 ounces.

First step would be to convert from ounces to grams

1 ounce = 28 grams

5.2 ounces =

5.2 ounces × 28 grams

= 145.6 grams

He underweighs by 0.2 ounces

We convert this too

1 ounce = 28 grams

0.2 ounce =

0.2 ounce × 28 grams

= 5.6 grams.

The new mean weight of the Fuji apples is grams = 145.6 grams - 5.6 grams = 140 grams.

Standard Deviation = 0.8 ounces.

Even though he underweighed that apples by 0.2 ounces, there has minimal effect on the standard deviation of the apples.

Hence, the standard deviation if the apples in grams =

1 ounce = 28 grams

0.8 ounce =

0.8 ounce × 28 grams

= 22.4 grams

To write a quadratic function from its vertex and another point, we can use the vertex form of a quadratic function, which is f(x) = a(x-h)^2 + k. Substitute the coordinates of the vertex and the other point into the vertex form to find the value of a. Then, substitute the value of a back into the vertex form to get the quadratic function.

To write a quadratic function from its vertex and another point, we can use the vertex form of a quadratic function, which is f(x) = a(x-h)^2 + k. In this form, (h, k) represents the coordinates of the vertex of the parabola.

Let's say the vertex of the quadratic function is (h, k) and the other point is (x1, y1). We can substitute these values into the vertex form to find the value of a.

Substituting the vertex coordinates, we get:

f(h) = a(h-h)^2 + k

f(h) = k

Substituting the coordinates of the other point, we get:

f(x1) = a(x1-h)^2 + k

Now, we have two equations:

k = a(0)^2 + k

y1 = a(x1-h)^2 + k

From the first equation, we can see that k = k, which is always true. Therefore, we can ignore this equation.

From the second equation, we can solve for a:

y1 - k = a(x1-h)^2

a = (y1 - k) / (x1-h)^2

Now that we have the value of a, we can substitute it back into the vertex form to get the quadratic function:

f(x) = a(x-h)^2 + k

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Answer:

22

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

1 + 2 + 3 + 4^2

4 x 4 = 16

1 + 2 + 3 = 6

6 + 16 = 22

Answer:

n = 45

Step-by-step explanation:

Step 1: Cross-multiply.

Step 2: Divide both sides by 11.

The given differential equation is x³y - xy + y = 0. It can be observed that x = 0 is a singular point of the given differential equation.

In general, the presence of singular points affects the existence of analytic solutions of a differential equation.The given statement is true. It means that there is no analytic solution of the given differential equation at x = 0. Therefore, the correct option is:True

sin(dy/dx)=x+y:

reason for above to have no defined degree is that sin(x)=x-x^3/3!+x^5/5!-………….

according to tailor series and maclauren series stuff sorry if i used the wrong name but simply series expansion if we substitute x→dy/dx then the degree of polynomial is undefined since it may have any power hence degree undefined.

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The given differential equation is x³y - xy + y = 0.

It can be observed that x = 0 is a singular point of the given differential equation.

In general, the presence of singular points affects the existence of analytic solutions of a differential equation.The given statement is true. It means that there is no analytic solution of the given differential equation at x = 0. Therefore, the correct option is:

True

sin(dy/dx)=x+y:

reason for above to have no defined degree is that sin(x)=x-x^3/3!+x^5/5!-………….

according to tailor series and maclauren series stuff sorry if i used the wrong name but simply series expansion if we substitute x→dy/dx then the degree of polynomial is undefined since it may have any power hence degree undefined.

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Answer:

\( \sqrt{ {3}^{2} + {4}^{2} } = 5\)

Answer:

20 percent off 25.00 is 20.00 The difference is 5.00

Step-by-step explanation:

plzz mark brainliest !!!!!

To find the product of the mode and median of the set 8,3,1,7,3,4,8,3,4,9,5, we first need to find the mode and median of the set.

The mode is the number that appears most frequently in a data set. In this case, the number 3 appears three times in the set, which is more than any other number. So the mode of this set is 3.

The median is the middle value when a data set is ordered from least to greatest. To find the median, we first need to put the numbers in order: 1,3,3,3,4,4,5,7,8,8,9. Since there are an odd number of numbers in the set (11), the median is the middle number. In this case, the median is 4.

So the product of the mode and median of this set is 3 * 4 = 12.

Answer:

med = 3

mode = 4

product of mode and median = 12

Step-by-step explanation:

1) Rearrange terms 1,3,3,3,4,4,5,7,8,9

2) Multiply terms 4 x 3 = 12

The dimension of the rectangular pen that maximizes the area is 61,250ft.

What is a dimension?

Something's size, including its breadth, height, and depth: She took exact measurements of the room's dimensions in one direction, like the distance from the ceiling to the floor. The room was surprisingly small, in terms of length, width, and height.

Here, we have

L+2W = 700

Area = A= LW = (700-2W)W = 700W -2W²

Take the derivative, set it equal to zero, and solve for W

-4W + 700 = 0

W = 175 feet

L = 700-2(175) = 350 feet

350 by 175 ft maximizes area = 61,250 square feet

Hence, the dimension of the rectangular pen that maximizes the area is 61,250ft.

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