Dinorah weighs 30.5 kg. Her dog weighs 6.1 kg. How many times as much does Dinorah weigh as her dog?

Based on the definition of similar quadrilaterals, the measure of side MN is: 14.1 units.

If two quadrilaterals are similar to each other, then the measure of their corresponding sides will have a ratio that is equal. This means they will have proportional side measures.

Since we are told that quadrilaterals GHIJ and KLMN are similar to each other, then their corresponding sides will have measures that are proportional to each other.

Therefore:

IJ/MN = GJ/KN

IJ = 35

MN = ?

GJ = 52

KN = 21

Substitute:

35/MN = 52/21

Cross multiply:

MN(52) = (35)(21)

MN(52) = 735

MN = 735/52

MN = 14.1 units

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Answer:

1 an -5/2

Step-by-step explanation:

The linear regression method seeks to predict values of a(n) dependent variable based on values of a(n)  independent variable.

According to the statement

we have to explain the linear regression method and explain the way by which this method is used to predict the values.

So, For this purpose we know that the

Linear regression is the most basic and commonly used predictive analysis. Regression estimates are used to describe data and to explain the relationship.

And

Linear regression analysis is used to predict the value of a variable based on the value of another variable. The variable you want to predict is called the dependent variable. The variable you are using to predict the other variable's value is called the independent variable.

from these definitions it is clear that the there is a presence of two types of variables which are dependent and independent variables.

So, The linear regression method seeks to predict values of a(n) dependent variable based on values of a(n)  independent variable.

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Answer:

1) y = 2/3x - 2

2) y = -1/2x + 3

Step-by-step explanation:

1) Parallel lines have the same slopes. Write it in standard form (y = mx + c), then substitute the values of the coordinates into the equation.

y = 2/3x + c

0 = 2/3(3) + c

0 = 2 + c

0 - 2 = c

- 2 = c

Therefore, the slope-intercept form for the first part is y = 2/3x - 2.

2) Parallel lines have the same slopes. Write it in standard form (y = mx + c), then substitute the values of the coordinates into the equation.

y = -1/2x + c

1 = -1/2(4) + c

1 = -2 + c

1 + 2 = c

3 = c

Therefore, the slope-intercept form for the second part is y = -1/2x + 3.

The critical values tα/2 for the given sample sizes and confidence levels are as follows:

for a sample size of 37 at a 90% confidence level, tα/2 = 1.691;

for a sample size of 29 at a 98% confidence level, tα/2 = 2.756;

for a sample size of 9 at an 80% confidence level, tα/2 = 1.860;

for a sample size of 70 at a 95% confidence level, tα/2 = 1.999.

To find the critical values tα/2 from the t-table, we need to determine the degrees of freedom (df) and the corresponding significance level α/2 for the given sample sizes and confidence levels.

For a sample size of 37 at a 90% confidence level, the degrees of freedom is n - 1 = 37 - 1 = 36. Looking up the value of α/2 = (1 - 0.90)/2 = 0.05 in the t-table with 36 degrees of freedom, we find tα/2 = 1.691.

For a sample size of 29 at a 98% confidence level, the degrees of freedom is n - 1 = 29 - 1 = 28. The significance level α/2 is (1 - 0.98)/2 = 0.01. Consulting the t-table with 28 degrees of freedom, we find tα/2 = 2.756.

For a sample size of 9 at an 80% confidence level, the degrees of freedom is n - 1 = 9 - 1 = 8. The significance level α/2 is (1 - 0.80)/2 = 0.10. Referring to the t-table with 8 degrees of freedom, we find tα/2 = 1.860.

For a sample size of 70 at a 95% confidence level, the degrees of freedom is n - 1 = 70 - 1 = 69. The significance level α/2 is (1 - 0.95)/2 = 0.025. Checking the t-table with 69 degrees of freedom, we find tα/2 = 1.999.

Hence, the critical values tα/2 for the given sample sizes and confidence levels are as mentioned above.

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The slope intercept form of the equation for each line is y = -1/3 -x.

When any equation is represented in the y = mx +c form, it is called the slope intercept form of the equation.

Here, m is slope and c is constant.

To find the slope intercept form of the equation,

(4, -2) and (-5, 3)

The slope intercept form of the equation is y = -(3/4)x + 3.

Therefore, the slope of the line is;

m = Δy/Δx

m = 5/-9

When we simplify it, then we get the;

3 - y= -5/9(-5-x)

y = -25/9-3 -x

y = -3/9 -x

y = -1/3 -x

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Answer:

Insert question here--->

Step-by-step explanation:

Answer:

Step-by-step explanation:

The loop will run an infinite number of times

Let ABC be the given triangle. We can construct two triangles PAB and PBC such that they share the same height from P to AB and P to BC, respectively. We can label the side lengths of PAB and PBC as x and y, respectively. The total area of the triangle ABC is the sum of the areas of PAB and PBC:

Area_ABC = Area_PAB + Area_PBC We can write the area of each of the sub-triangles in terms of x and y by using the formula for the area of a triangle: Area_PAB = (1/2)(12)(x) = 6xArea_PBC = (1/2)(15)(y) = (15/2)y Setting the areas equal to each other and solving for y yields: y = (4/5)x Substituting this into the equation for the area of PBC yields:

Area_PBC = (1/2)(15/2)x = (15/4)x The area of ABC can also be written in terms of x by using the formula: Area_ABC = (1/2)(AB)(PQ) = (1/2)(12)(PQ) + (1/2)(15)(PQ) = (9/2)(PQ) Setting the areas equal to each other yields:(9/2)(PQ) = 6x + (15/4)x(9/2)(PQ) = (33/4)x(9/2)(PQ)/(33/4) = x(6/11)PQ = x(6/11)Thus, we can see that the longest possible integer length of the third altitude is $\boxed{66}$.

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Answer:

I think is -x + 105/42y

Step-by-step explanation:

2(3/10)x - 5/7y - 4(5/6)y - 2(4/5)x

6/10x - 5/7y - 20/6y - 8/5x

6/10x - 8/5x - 5/7y - 20/6y

6-16/10x - 35+140/42y

-10/10x + 105/42y

-x + 105/42y

(a) Describe the sampling distribution of x.The central limit theorem implies that the sampling distribution of the sample mean,  x , is approximately normal with mean

= μ and standard deviation [math]\frac{\sigma }{\sqrt{n}}[/math].

(b) What is P (X > 84.5) ?The Z-score can be used to determine the probability of X being greater than 84.5 in this case. The formula to use is

Z = (X-μ)/[math]\frac{\sigma }{\sqrt{n}}[/math].Substituting the values, we have

Z = (84.5 - 80)/[math]\frac{6}{\sqrt{81}}[/math]

= 2.25

Therefore, the probability P (X > 84.5) is equal to the area under the standard normal curve to the right of 2.25. This value can be obtained from a standard normal table, which gives P(Z > 2.25)

= 0.0122.

(c) What is P (X < 80.8) ?Using the same formula, we haveZ = (80.8 - 80)/[math]\frac{6}{\sqrt{81}}[/math]

= 0.9The probability P (X < 80.8) is equal to the area under the standard normal curve to the left of 0.9. This value can be obtained from a standard normal table, which gives P(Z < 0.9)

= 0.8159.(d) What is P (81 < X < 85) ?Using the same formula, we haveZ1 = (81 - 80)/[math]\frac{6}{\sqrt{81}}[/math]= 0.5andZ2

= (85 - 80)/[math]\frac{6}{\sqrt{81}}[/math]

= 2.5The probability P (81 < X < 85) is equal to the area under the standard normal curve between 0.5 and 2.5. This value can be obtained from a standard normal table, which gives

P(0.5 < Z < 2.5) = P(Z < 2.5) - P(Z < 0.5) = 0.4938.

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Answer:

The answer is B. There are 432 desks in all 18 classes

Using the figure the missing sides are

f = 16.56

m = 493.37

The missing side in the figure at the top is solved using trigonometry sin as follows

sin 25 = 7 / f

f * sin 25 = 7

f = 7 / sin 25

f = 16.56 (to the nearest hundredth)

In the figure below, the missing side is solved using trigonometry cos

cos 85 = 43 / m

m * cos 85 = 43

m = 43 / cos 85

m = 493.3697

m = 493.37 (to the nearest hundredth)

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Answer: hundreth of a second

Step-by-step explanation: it is most accurate unlike some of the larger units that could be used

Therefore, the area of a piece of pie is 10.60 square inches.

To find the area of a pie with a 9-inch diameter, we can use the formula for the area of a circle:

A = πr²

where r is the radius of the circle. Since the diameter of the pie is 9 inches, the radius is half of that, or 4.5 inches. So we can plug this value into the formula to get:

A = π(4.5)²

Simplifying, we get:

A = π(20.25)

A = 63.62 square inches (rounded to two decimal places)

This is the total area of the pie.

Since the pie is divided into 6 equal slices, we can divide the total area by 6 to get the area of each slice. So we can calculate the area of each slice as:

63.62 / 6 = 10.60 square inches (rounded to two decimal places)

Therefore, each slice of the pie has an area of approximately 10.60 square inches.

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We need to add 100 mL of the 50% alcohol solution to the beaker to get a solution that is 26% alcohol.

To solve this problem, we can use the formula:

(amount of pure alcohol in new solution)/(total volume of new solution) = 26%

We know that the total volume of the new solution will be 400 mL + x mL (where x is the amount of the 50% alcohol

solution we need to add).

We also know that the amount of pure alcohol in the original solution is:

0.2 x 400 mL = 80 mL

To find the amount of pure alcohol in the new solution, we can use:

0.5x + 80 mL = 0.26(400 mL + x)

Simplifying and solving for x, we get:

0.5x + 80 mL = 104 mL + 0.26x

0.24x = 24 mL

x = 100 mL

Therefore, we need to add 100 mL of the 50% alcohol solution to the beaker to get a solution that is 26% alcohol.

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The length of Rocky Mountain Juniper tree will be 1.269 feet.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

A tour guide for Yellowstone National Park is 5.1 feet tall and casts a shadow of 81.6 inches.

Now,

Let the height of Rocky Mountain Juniper tree = x feet

And, A tour guide for Yellowstone National Park is 5.1 feet tall and casts a shadow of 81.6 inches.

So, The height of a Rocky Mountain Juniper tree be if at the same time of day it casts a shadow of 20.3 feet will be find as;

⇒ 5.1 / 81.6 = x / 20.3

Solve for x as;

⇒ 5.1 × 20.3 / 81.6 = x

⇒ 103.53 / 81.6 = x

⇒ x = 1.269 feet

Thus, The length of Rocky Mountain Juniper tree will be 1.269 feet.

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7. √9

√9 is a rational number because √9 = 3 = 3/1.

8. No, there is no integer between -6 and -7.

9. π

π is an irrational number

To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

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The highest point on a bell-shaped curve represents the peak or maximum value of the distribution. This point is known as the mode of the distribution.

In a bell-shaped curve, also known as a normal distribution or Gaussian distribution, the data is symmetrically distributed around the mean. The curve is characterized by a central peak, and the highest point on this peak corresponds to the mode.

The mode represents the most frequently occurring value or the value that has the highest frequency in the dataset. It is the point of highest density in the distribution.

The bell-shaped curve is often used to model naturally occurring phenomena and is widely applied in statistics and probability theory. The mode provides information about the most common or typical value in the dataset and is useful for understanding the central tendency of the distribution.

While the mean and median also have significance in a normal distribution, the highest point on the bell-shaped curve specifically represents the mode, indicating the value with the highest occurrence in the dataset.

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Answer:

x value 0 yields y value of -4

x value 1 yields y value of 1

x value 2 yield y value of 6

Step-by-step explanation:

All we have to do to solve this question is plug in the value of x into the function and get the output or y.

When we plug in 0 we get 5(0)-4. 0 times any number is 0 so the first answer is 0.

When we plug in 1 we get 5(1)-4. This is just 5-4 or 1.

When we plug in 2 we get 5(2)-4. This is just 10-4 or 6.

I hope you liked my answer. Thanks

Answer:

Slope = 5/2

Step-by-step explanation:

Answer:

he should bring more medium size

Step-by-step explanation:

please brainliest I was the first answer

Answer:

\(x-8y=-24\)

Step-by-step explanation:

Standard form of a linear equation:  \(Ax+By=C\)

(where A, B and C are integers, and A shouldn't be negative)

Given equation:

\(y=\dfrac{1}{8}x+3\)

Multiply both sides by 8:

\(\implies 8 \cdot y=8 \cdot \dfrac{1}{8}x+8 \cdot 3\)

\(\implies 8y=x+24\)

Subtract 8y from both sides:

\(\implies 8y-8y=x+24-8y\)

\(\implies 0=x+24-8y\)

Subtract 24 from both sides:

\(\implies 0-24=x+24-8y-24\)

\(\implies -24=x-8y\)

In standard form:

\(\implies x-8y=-24\)

Answer:

60

Step-by-step explanation:

Answer:

15? brainliest me

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

Please see attached pictures for the full solution.

(This distance is the perpendicular distance between the 2 parallel lines, which is the shortest distance between them.)

Answer:

D 21/5

Step-by-step explanation:

edge

Answer: the answer to this is true

Answer:

D, X^2 -18 + 81 = -45 + 81

Step-by-step explanation:

it is complating squer method that used for solving x in a quadratic equetion . in this step you will add

(y/2)^2 if y is the cofitient of x .

Symbolic models are those that are based on mathematical formulas.

The goal of symbolic modelling is to help clients become more aware of their own "symbolic domain of experience," allowing them to create their own "metaphor landscape" and explore internal metaphors, which are believed by conceptual metaphor theory to influence behaviour.

What benefits do symbolic models offer?

One of the most significant and defining technologies of next-generation modelling methodologies is swiftly emerging as symbolic computation. It allows the freedom to easily create model equations, manage models more effectively, and reach the best outcomes more quickly.

Describe domain through an example.

the domain name example.com might be connected to the address 198.102. 434.8.

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There is a reflection at the boundary between two materials if there is a change of the speed of light in the material at the boundary.

This bending is referred to as refraction. whilst a wave traveling at an angle adjusts its velocity upon crossing a boundary among materials,. This bending is known as refraction. As a wave crosses a boundary into a new medium, its pace, and wavelength exchange simultaneously as its frequency stays equal.

While light from air hits a smooth piece of glass (n = 1. five) with the ray perpendicular to the glass floor, of the subsequent will occur while light from air hits a clean piece of glass with the ray perpendicular to the glass surface, the part of the light passing into the glass: will now not exchange its frequency.

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