Write the equation of a line (y = mx + b) that has the following characteristics:

Slope = -1 and passes through (2,-4)

The variance for the sample mean can be calculated using the formula σ^2/n. Therefore, in this scenario, the variance for the sample mean would be σ^2/n = 15^2/100 = 2.25.

The variance of the sample mean measures how spread out the sample means are likely to be from the population mean. It is a measure of the variability in the sampling distribution of the mean. The formula to calculate the variance of the sample mean is σ²⁽ⁿ, where σ is the population standard deviation and n is the sample size.

In this scenario, the population standard deviation is given as 15, and the sample size is 100. Therefore, using the formula, we can calculate the variance of the sample mean as follows:

σ²⁽ⁿ = 15²/100 = 2.25

This means that the variance of the sample mean is 2.25. It indicates that if we take multiple samples of size 100 from this population, the mean of each sample is expected to vary around the population mean by approximately 2.25. This measure of variability is important in determining the precision of the sample mean as an estimator of the population mean.

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Answer:

A figure formed by the segments determined by three noncollinear points . The three segments are called sides. The endpoints are called the vertices of the triangle. A triangle separates a plane into three parts, the triangle, its interior , and its exterior.

Step-by-step explanation:

Answer:

8 m

Step-by-step explanation:

300/5=60

60/7.5=8

Answer:

3/5, 67%, 0.7, 3/4

The quadratic equation written in vertex form is:

A(x) = x^2 - 4

Here we want to find the vertex form of the quadratic equation:

A(x) = (x + 2)*(x - 2)

Remember that for a quadratic equation with the vertex (h, k) and leading coefficient a is written as:

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

Now, notice that the zeros of the quadratic function are x = -2 and x = 2.

Then the vertex is just between these two, at x = 0.

Then h = 0, and the y-value of the vertex is what we get when we evaluate in x = 0.

k = (0 + 2)*(0 - 2) = 2*-2 = -4

Then the vertex is (0, -4) and the leading coefficient is 1, we can write the quadratic equation as:

A(x) = (x - 0)^2 -4

A(x) = x^2 - 4

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False. The statement is not necessarily true. While it is possible to have word embeddings that are 10000 dimensional for a vocabulary of 10000 words.

It is not a requirement to capture the full range of variation and meaning in those words. The dimensionality of word embeddings is not solely determined by the size of the vocabulary, but rather by various factors such as the complexity of the underlying semantic relationships and the specific modeling techniques used.

In practice, word embeddings are often created using techniques like Word2Vec or GloVe, which typically produce lower-dimensional embeddings (e.g., 100 to 300 dimensions). These lower-dimensional embeddings have been shown to effectively capture important semantic relationships and patterns in language, while also reducing the computational complexity and memory requirements. The choice of dimensionality depends on the specific application and the trade-off between capturing sufficient information and computational efficiency.

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Answer:

x=7

Step-by-step explanation:

x= (584-500) ÷ 12

x= \(\frac{584- 500}{12} \\\) ( x=\(\frac{84}{12}\))

x=7

C:

enjoy your holidays!

Answer:

If you spent $56 on candy, she'd buy 8 pounds.

Step-by-step explanation:

------------------------------------------------------------------------------------------------

Answer:

x = 27

Step-by-step explanation:

The angle at any point on a straight line is 180 degrees.

The middle line over there is creating a right angle which is 90 degrees.

This must mean that both sides are 90 degrees.

3x+9 = 90

3x = 81

x = 27

Answer:

see photo below

Step-by-step explanation:

This actual has a photo attached not a link

The correct function to use when conducting an unpaired two-sample t-test with equal variances in Python is st.ttest_ind(var A, var B, equal_var=True).

The ttest_ind function from the scipy.stats module is used for independent two-sample t-tests. By setting the equal_var parameter to True, it assumes that the variances of the two samples are equal. This assumption allows for the use of the pooled variance estimate in the calculation of the test statistic.

The other options provided are incorrect:

sLttest_rel(var A, var B, equal_var=False): This function (sLttest_rel) does not exist in the scipy.stats module. Additionally, the ttest_rel function is used for dependent (paired) two-sample t-tests, not unpaired tests.

st.ttest_rel(var A, var B, equal_var=True): This function is used for dependent (paired) two-sample t-tests, where the two samples are related or matched. It is not suitable for unpaired t-tests.

suttest_ind(var A, var B, equal_var=False): This function (suttest_ind) does not exist in the scipy.stats module. Additionally, the correct parameter name for the equal_var argument is equal_var, not equal _var.

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The change in position from the shaded figure to the unshaded figure is best described as a translation.

A translation transformation is such that the entire shape is copied and then this copy is moved to another part of the graph.

In a translation, the size of the shape does not change. Other things that don't change include the orientation of the shape. It remains the exact same, but in a new location.

The shape, size and orientation of the shaded figure is the same as the unshaded figure so this is a translation.

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Answer:

No.  A 25% downpayment results in a balance of $10,110, $110 above the maximum they want to bvorrow.

Step-by-step explanation:

If the total remodelling cost is $13,480. a 25% downpayment would be:

     ($13,480)*(0.25) = $3,370

After making a $3370 downpayment, Amanda and Charles will still owe:  

  ($13,480)-($3,370) = $10,110

They would need to increase their downpayment by $110 to stay below the $10,000 maximum they want to borrow.

Answer:

150 because he bought them

Step-by-step explanation:

Step-by-step explanation:

AB=BC

8x+6=6x+18

2x=12

x=6

so

AB= 48+6=54cm

BC=36+18=54cm

AD=CD

8y+20=12y-8

-4y=-28

y=7

so

AD= 84-8=76cm

CD=56+20=76cm

AE=2x+4y

AE=2×6+4×7

AE=40cm

AC=2×40=80cm

The probability that a randomly chosen person: a) Has a red car = 0.496 b) Has a speeding ticket = 0.424 c) Has a speeding ticket given they have a red car = 0.467 d) Has a red car given they have a speeding ticket = 0.629 e) Has a red car and got a speeding ticket = 0.234 f) Has a red car or got a speeding ticket = 0.686.

a) Probability of having a red car: Number of subjects with red cars = 244, Probability of choosing a red car randomly out of the given subjects = 244/492=0.496

b) Probability of having a speeding ticket: Number of subjects with speeding tickets = 209, Probability of choosing a person with a speeding ticket out of the given subjects = 209/492=0.424

c) Probability of having a speeding ticket given they have a red car: Probability of having a red car = 0.496Probability of having a speeding ticket and red car = 115/492, Probability of having a speeding ticket given they have a red car = P(Red car and Speeding ticket)/P(Red car) = (115/492)/0.496 = 0.467

d) Probability of having a red car given they have a speeding ticket: Probability of having a speeding ticket = 0.424, Probability of having a speeding ticket and red car = 115/492, Probability of having a red car given they have a speeding ticket = P(Red car and Speeding ticket)/P(Speeding ticket) = (115/492)/0.424 = 0.629

e) Probability of having a red car and getting a speeding ticket: Number of subjects with both red car and speeding ticket = 115, Probability of choosing a person with both red car and speeding ticket out of the given subjects = 115/492=0.234

f) Probability of having a red car or getting a speeding ticket: P(Red car or Speeding ticket) = P(Red car) + P(Speeding ticket) - P(Red car and Speeding ticket) = 0.496 + 0.424 - 0.234 = 0.686.

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Answer:

Step-by-step explanation:

80 is the diameter to we need to divide it by 2 to find the radius

80/2= 40

A= 3.14* 40^2

A = 3.14 * 1600

A= 5024

Step-by-step explanation:

Answer: (y - 5)² = y² - 10y + 25

Concept:

There are in total three general types of parentheses-squared method:

Solve:

Given = (y - 5)²

Apparently, the given expression accords with (a - b)², where [y] = [a] and [5] = [b].

(a - b)² = a² - 2ab + b²

(y - 5)² = y² - 2(y)(5) + 5² = y² - 10y + 25

Hope this helps!! :)

Please let me know if you have any questions

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

two points: (0,2) and (-1, -4)

Answer:

Step-by-step explanation:

Given :

x = -6

-7x + 6y = -18 ... i)

Putting the value of x in equation ...i)

=> -7 (-6) + 6y = -18

=> 42 + 6y = -18

=> 6y = -18 -42

=> 6y = - 60

=> y = -60/6

=> y = -10

The value of y = -10 and x = -6

Answer:

x= 4, y=6

Step-by-step explanation:

9x-9y = -18

9x=-18+9y

x=-2+y

-6(-2+y) + 9y = 6

-12-6y+9y=6

3y=18

y=6

9x -9(6)=-18

9x-54=-16

9x=36

x=4

Answer:

100÷3 = 33.33, so 33.33 minutes

Answer:

22- True

23- False

24- True

25- False

Step-by-step explanation:

22- In a plane, intersecting lines are any two or more lines that cross one another. The point of intersection, which can be found on all intersecting lines, is where the crossing lines share a common point. Point O, the junction, where lines P and Q meet, is shown.

23- there is only 1 line that can be drawn through 2 distinct points.

24- A line is formed by the intersection of two planes. The planes are parallel if they do not intersect. Due to the endless nature of planes, they cannot meet at a single place. In addition, because planes are flat, they cannot intersect across more than one line.

25- A unique straight line is always determined by two different locations. This is true. It's crucial to realize that any point in space can be traversed by a line that passes through a given point.

AN

It is above average. The World Health Organization (WHO) defines a country with an obesity rate of less than 15% as having a low rate of obesity, a rate between 15% and 30% as having an average rate of obesity, and a rate above 30% as having a high rate of obesity.

With an obesity rate of 33.9%, the United States falls into the category of having a high rate of obesity.

The high rate of obesity in the United States has significant public health implications. Obesity is a major risk factor for numerous chronic health conditions, including heart disease, type 2 diabetes, and certain types of cancer. In addition to the health impacts, obesity also has significant economic impacts, as it increases healthcare costs and reduces productivity

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This exercise explores the effect of linear transformations on points in R² to R². It considers the line segment between two points and the concept of a "triangle inequality" for any three points on a plane.

The exercise focuses on the effect of linear transformations on points in R² (a 2-dimensional space) to R². It starts by considering two points, v and w, in R² and defines the line segment l that joins them. This line segment is characterized by the convex linear combinations of v and w, where t ranges from 0 to 1. These combinations represent the points along the line segment.

The exercise then introduces the concept of a "triangle inequality" for any three points on a plane. It states that for any three points, v, w, and u, on a plane, the distance between v and u is less than or equal to the sum of the distances between v and w, and between w and u. This inequality helps establish the relationship between the points in the triangle formed by v, w, and u.

To further explore this concept, the exercise introduces a triangle T with vertices v, w, and u. It states that the first two vertices, v and w, are at (0,0) and (1,0) respectively. The third vertex, u, is at (a,b) with b > 0. This condition ensures that the third vertex cannot lie on the line passing through the other two vertices. The exercise suggests that any triangle can be transformed to such a T by sliding and rotating it in RP, the real projective plane.

Overall, the exercise delves into the impact of linear transformations on points in R² and emphasizes the triangle inequality as a fundamental concept for analyzing the relationships between points on a plane.

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Answer:

i dont see the graph need more info

Step-by-step explanation:

The function is discontinuous at x = 5, i.e., the point of discontinuity is x = 5 for the given function.

The abrupt change in the function's value over a small change in its independent variable is known as discontinuity.

The following are the types of discontinuity:

Removable Discontinuity: When a function has a hole at a certain value of x, the discontinuity is known as removable discontinuity.

Jump Discontinuity: When a function has a sudden jump from one value to another at a certain value of x, the discontinuity is known as jump discontinuity.

Infinite Discontinuity: When a function has an infinite gap (vertical asymptote) at a certain value of x, the discontinuity is known as infinite discontinuity.

Other types of discontinuity are Oscillating Discontinuity and Essential Discontinuity.

Here, the function is continuous from both sides for x = 5.

But it is not continuous at x = 5 as the left and right-hand limits are not equal; the function has a jump discontinuity at x = 5.

The function is discontinuous at x = 5, i.e., the point of discontinuity is x = 5.

Hence, the result is S - if x < 5 if x ≥ 5.

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Answer:

x=2

Step-by-step explanation:

2.5(6x-4)=10+4(1.5+0.5x)

Distribute

15x -10 = 10 + 6 +2x

Combine like terms

15x -10 =16+2x

Subtract 2x

13x -10 = 16

Add 10

13x= 16+10

13x = 26

Divide by 13

13x/13 = 26/13

x =2

Answer:

x=2

Step-by-step explanation:

2.5(6x-4)=10+4(1.5+0.5x)

Distribute.

2.5*6x-2.5*4=10+4*1.5+4*0.5x

15x-10=10+6+2x

Combine like terms.

15x-10=16+2x

Add 10 to both sides

15x-10+10=16+10+2x

15x=26+2x

Subtract 2x from both sides.

15x-2x=26+2x-2x

13x=26

Divide both sides by 13

x=2