The coordinants of point T are (0,4). The midpoint of ST is (2,-3). Find the coordinants of point S

The sum of the residuals and what it tells us about the line of best fit is that: −1.06; This indicates that the line of best fit is not very accurate and is not a good model for prediction.

Mathematically, the residual value of a data set can be calculated by using this formula:

Residual value = actual value - predicted value

Next, we would determine the predicted values as follows:

At point (4, 6), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(4) − 0.76.

Predicted value, y = 5.08

At point (6, 7), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(6) − 0.76.

Predicted value, y = 8.

At point (7, 8), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(7) − 0.76.

Predicted value, y = 9.46.

At point (9, 13), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(9) − 0.76.

Predicted value, y = 12.38.

At point (10, 14), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(10) − 0.76.

Predicted value, y = 13.84

At point (11, 15), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(11) − 0.76.

Predicted value, y = 15.3.

Now, we can calculate the sum of the residuals as follows:

Sum of the residuals = Sum of actual values - Sum of predicted values

Sum of the residuals = (6 + 7 + 8 + 13 + 14 + 15) - (5.08 + 8 + 9.46 + 12.38 + 13.84 + 15.3)

Sum of the residuals = 63 - 64.06

Sum of the residuals = -1.06.

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Answer:

-1.06

Step-by-step explanation:

i took the test :)

9) x = 6

10) x = 1

11) x = 0

12) x = 6

This can be solved from the property of parallelogram.

A unique variety of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.

Parallelograms come in 4 different varieties, including 3 unique varieties. The four varieties are rhombuses, parallelograms, squares, and rectangles.

Properties are:

9) As we know, from the property of parallelogram,

SR = TQ and ST = RQ

Now, 4 + 2x = 3x - 2

or, x = 6

10) As we know, from the property of parallelogram,

EF = DC and ED = FC

17x + 1 = 18x

or, x = 1

11)  As we know, from the property of parallelogram,

YZ = XW and YX = ZW

2x + 9 = 9

2x = 0

x = 0

12)  As we know, from the property of parallelogram,

TU = SV and TS = UV

6 + 2x = 4x - 6

or, 2x = 12

or, x = 6

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The estimate of the maximum error in the calculated surface area is approximately \(0.007824w_0^(-0.479)h_0^0.848 + 0.006558w_0^0.521h_0^(-0.152).\)

To estimate the maximum error in the calculated surface area, we can use the concept of differentials and propagate the errors from the measurements of weight and height to the surface area.

Let's denote the weight as w_0 and the height as h_0, which represent the true values of weight and height, respectively. The measured weight is w_0 + Δw, and the measured height is h_0 + Δh, where Δw and Δh represent the errors in the measurements of weight and height, respectively.

Using differentials, we can approximate the change in the surface area ΔS as:

ΔS ≈ (∂S/∂w)Δw + (∂S/∂h)Δh

We need to calculate the partial derivatives (∂S/∂w) and (∂S/∂h) of the surface area function with respect to weight and height, respectively.

∂S/∂w = \(0.521 * 0.288w^(-0.479)h^0.848\)

∂S/∂h = \(0.848 * 0.288w^0.521h^(-0.152)\)

Substituting the true values w_0 and h_0 into the partial derivatives, we get:

∂S/∂w =\(0.521 * 0.288w_0^(-0.479)h_0^0.848\)

∂S/∂h = \(0.848 * 0.288w_0^0.521h_0^(-0.152)\)

Now, we can calculate the maximum error in the calculated surface area using the formula:

Maximum error in S = |(∂S/∂w)Δw| + |(∂S/∂h)Δh|

Given that the errors in measurements of weight and height are at most 1.5%, we have Δw/w_0 ≤ 0.015 and Δh/h_0 ≤ 0.015.

Substituting the values into the formula, we get:

Maximum error in S = |(∂S/∂w)Δw| + |(∂S/∂h)Δh|

\(|(0.521 * 0.288w_0^(-0.479)h_0^0.848)(0.015w_0)| + |(0.848 * 0.288w_0^0.521h_0^(-0.152))(0.015h_0)|\)

Simplifying the expression, we have:

Maximum error in S ≈ \(0.007824w_0^(-0.479)h_0^0.848 + 0.006558w_0^0.521h_0^(-0.152)\)

Therefore, the estimate of the maximum error in the calculated surface area is approximately\(0.007824w_0^(-0.479)h_0^0.848 + 0.006558w_0^0.521h_0^(-0.152).\)

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Answer:

2) 1/6 : split in half horizontally and into thirds like a fence (vertically)

3) 1/2 : draw a line of symmetry down the middle

4) 1/2 : draw a line of symmetry down the middle

5) 1/6 : slice it like a pizza <3

The reduced form of the given matrix is:

3 6 12

0 0 0

0 0 0

The given matrix is:

3 6 12

9 18 36

9 18 36

To find the reduced form of the matrix, we need to perform row operations to transform it into row-echelon form or reduced row-echelon form.

Let's start with the row operations:

1. R2 = R2 - 3R1

New matrix:

3 6 12

0 0 0

9 18 36

2. R3 = R3 - R1

New matrix:

3 6 12

0 0 0

6 12 24

3. R3 = R3 - 2R1

New matrix:

3 6 12

0 0 0

0 0 0

At this point, we have a row of zeros, indicating that the third row is a linear combination of the first two rows. This means that the matrix is already in row-echelon form.

The reduced form of the given matrix is:

3 6 12

0 0 0

0 0 0

In this reduced form, the first row is called the pivot row, as it contains the leading entry (the first non-zero entry) in each column. The other rows are zero rows.

The process of reducing the matrix involves applying row operations to transform it into a simpler form. The goal is to obtain a row-echelon form or reduced row-echelon form, where certain properties hold.

In the given matrix, we can see that the third row is a scalar multiple of the first row. This means that these two rows are linearly dependent and can be eliminated. By performing row operations, we subtract multiples of one row from another to create zeros below the leading entry in each column.

The resulting reduced form matrix has a row of zeros at the bottom, indicating that the system of equations represented by the matrix is underdetermined or inconsistent. This means that there are infinitely many solutions or no solutions to the system.

The reduced form of a matrix allows us to analyze the properties and relationships within the system of equations more easily. It provides a clearer understanding of the structure and properties of the original matrix and can be used for further calculations or analysis.

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Answer:

Volume = 12

Step-by-step explanation:

Answer:

12cm³

Step-by-step explanation:

L=3cm

W=2cm

H=2cm

Volume=L*W*H

Volume =3*2*2

=12 cm³

There is a 20% chance that a risky stock investment will end up in a total loss. If you invest in 25 independent risky stocks, the probability that fewer than six of these 25 stocks end up in total losses is approximately 0.91.

Given data:

Probability of getting a total loss in one investment = 20% = 0.20

Probability of not getting a total loss in one investment = 1 - 0.20 = 0.80

Number of investments = 25

We need to find the probability that fewer than six out of these 25 risky investments end up in total losses.

We will use the binomial distribution formula here:P(X < 6) = Σp(x) (from x = 0 to x = 5)

Here, Σ is the summation signp(x) = probability of x successes in 25 trials, which is given by the formula:

p(x) = [ nCx * p^x * (1-p)^(n-x)]

Where, n = number of trial

s = 25

p = probability of success = 0.80

q = probability of failure = 1 - p = 0.20n

Cx = n! / (x! × (n-x)!) = combination of n items taken x at a time

We need to substitute these values in the formula and calculate the probability:

P(X < 6) = Σp(x) (from x = 0 to x = 5)

P(X < 6) = p(0) + p(1) + p(2) + p(3) + p(4) + p(5)

P(X < 6) = \([25C0 * (0.80)^0 * (0.20)^25] + [25C1 * (0.80)^1 * (0.20)^24] + [25C2 * (0.80)^2 * (0.20)^23] + [25C3 * (0.80)^3 * (0.20)^22] + [25C4 * (0.80)^4 * (0.20)^21] + [25C5 * (0.80)^5 * (0.20)^20]\)

P(X < 6) ≈ 0.91

Therefore, the probability that fewer than six of these 25 stocks end up in total losses is approximately 0.91.

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To find the area of a triangle using trigonometry, you can use the formula A = (1/2)bh, where A represents the area, b is the base of the triangle, and h is the corresponding height.

If you have an acute triangle, you can use trigonometric ratios to find the height. For example, let's say you know the length of one side (a) and the measure of the angle opposite to that side (A). To find the height, you can use the formula h = a * sin(A), where sin(A) represents the sine of angle A.

If you have a right triangle, you can use the lengths of the two legs (a and b) to find the area. The height of the triangle will be one of the legs, and the base will be the other leg. You can then use the formula A = (1/2)ab to calculate the area.

Here's an example to illustrate the process:
Suppose we have a right triangle with a base of 6 units and a height of 8 units. We can use the formula A = (1/2)bh, plugging in the values to get A = (1/2)(6)(8) = 24 square units.

In summary, to find the area of a triangle using trigonometry:
1. If you have an acute triangle, use trigonometric ratios to find the height.
2. If you have a right triangle, use the lengths of the two legs to find the area.

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Answer:

Your answer would be 11 pigs and 9 chickens

Step-by-step explanation:

X= Chickens

Y= Pigs

11 is the number of pigs

9 is the number of chickens

11*4

multiply your number of pigs by the number of legs the animal has.

9*2

multiply your number of chickens by the number of legs the animal has.

11*4=44

9*2=18

44+18=62

add the calcutions together

Here's a short Python program that uses a try block to handle the exception when trying to write to a file that is not writable:

python

Copy code

try:

   # Open the file in write mode (which requires write permissions)

   with open("csc4992.txt", "w") as file:

       # Attempt to write to the file

       file.write("This is a test.")

except IOError:

   # Handle the exception if the file is not writable

   print("Cannot write to the file.")

In this example, the program tries to open the file named "csc4992.txt" in write mode using the open() function. If the file is not writable or does not exist, an IOError exception will be raised. The except block will then be executed, and it will print the message "Cannot write to the file."

Please make sure to adjust the file name or location as needed for your specific case.

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Answer:148.38

Step-by-step explanation:

Population Density=Population of country÷Area of country

Population of country=23,023

Area of country=(18*8)+(4*5)=164 m²

Population Density=23023÷164=148.38 people/m²

Answer:

-3/2

Step-by-step explanation:

you can find the perpendicular slope by putting the slope in 1/-m. M is the current slope you have or really you can flip it and change the signs so for example, 1/-(2/3) = -3/2

The slope of line CD​ is = -3/2

A perpendicular is a straight line that makes an angle of 90° with another line.

Given that the lines AB and CD are perpendicular to each other, the slope of line AB is 2/3.

Slope of perpendicular lines are negative reciprocal of each other, so,

Hence, The slope of line CD​ is = -3/2

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Answer:

0.66666666666

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Renters probably aren't going to rent to you if you have a poor credit history.

hope this helps, brainliest appreciated!

The correct answer is (A) True.

Why Not false ?

Hence the credit history is really very important for finding a place on rent.

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We have expressed x as a ratio of two integers (5194.52178217821 and 99), which shows that x is a rational number.

To show that 52.4699169916991... is a rational number, we need to find a way to express it as a ratio of two integers. Let x = 52.4699169916991...

Since the repeating decimal starts after the second digit, we can multiply x by\(10^2\) to obtain:

100x = 5246.99169916991...

Now, we can subtract x from 100x to eliminate the repeating decimal:

100x - x = 5246.99169916991... - 52.4699169916991...

Simplifying the right-hand side gives:

99x = 5194.52178217821...

Dividing both sides by 99 yields:

x = 52.4699169916991... = 5194.52178217821... / 99

Thus, we have expressed x as a ratio of two integers (5194.52178217821 and 99), which shows that x is a rational number.

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Answer:

White

Step-by-step explanation:

20 divided by 4 = 5

White was spun 5 times.

By applying the Schroder-Bernstein theorem, we can conclude that (0,1) and R have the same cardinality.

To show that (0,1) and R have the same cardinality, we can apply the Schroder-Bernstein theorem, which states that if there exist injective functions from set A to set B and from set B to set A, then A and B have the same cardinality.

First, we can define a function from (0,1) to R by using a bijection. For example, we can use the function f(x) = tan[(πx - π/2)].

This function maps each value in the interval (0,1) to a unique real number in R. Since the tangent function is injective in the interval (-π/2, π/2), the function f(x) is also injective.

Next, we can define a function from R to (0,1) by using the inverse of the tangent function. For example, we can use the function g(x) = (π/2 + arctan[x])/π.

This function maps each real number to a unique value in the interval (0,1). The function g(x) is also injective since the inverse of the tangent function is injective.

By applying the Schroder-Bernstein theorem, we can conclude that (0,1) and R have the same cardinality.

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A map uses scaled drawings. The distance between the two considered cities on that specified map is 6.25 inches

How are scale drawings formed?

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

1ft : s/k in.

All feet measurements will then we multiplied by s/k to get the drawing's corresponding lengths.

For this case, it is specified that the map uses scaling such that:

3/4 of an inch on map = 3 miles in reality.

Dividing both the quantities by 3, we get:

1 mile in reality = 3/4  / 3  inches on map = 1/4 inches on map

Multiplying both the quantities by 25, we get:

25 miles in reality = 25/4 = 6.25  in map

Since 25 miles is the distance between those two considered cities.

Therefore, the distance between those two cities on map would be of 6.25 inches.

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Answer:

\(1.445 \times {10}^{3} \)

Step-by-step explanation:

\((1.7 \times {10 }^{4} )(8.5 \times {10}^{ - 2} ) = 14.45 \times {10}^{2} = 1.445 \times {10}^{3} \)

Answer:

D. Only 16 and 21

Step-by-step explanation:

Plug in 16 and 21 to replace the x and the answer will be bigger than 24.

Answer:

73.75

Step-by-step explanation:

every ride the bus pass value goes down by 1.75 so we can use that to figure out what the 15th ride would cost. if you multiply 1.75 x 15 you will get 26.25. Now subtract 26.25 from 100 to get 73.75. Hope i helped! :)

a. A mutually beneficial trade could involve exchanging some bananas for apples, allowing both parties to increase their utility.

b. After the trade, the marginal rate of substitution (MRS) for both individuals would have gone up (in absolute value) as they move towards bundles that align with their preferences.

c. If the values for the MRS at the current consumption bundles were reversed, the answers to (a) and (b) would remain the same as the trade would still be mutually beneficial and the MRS would still increase.

d. In order for a mutually beneficial trade not to be possible, the MRS at the current bundles would have to be equal for both individuals.

a. To make both individuals better off, a possible trade could be for you to offer some of your apples to the other person in exchange for some bananas. By doing so, you would increase your apple count, which would improve your utility since the slope of your indifference curve for apples is steeper than the slope of the other person's indifference curve for apples. Similarly, the other person would benefit from receiving additional bananas.

b. After the suggested trade, both individuals' MRS would have gone up (in absolute value). The steeper slope of your indifference curve for apples indicates that you have a higher marginal rate of substitution between bananas and apples. By acquiring more apples through the trade, your MRS for apples would increase. The other person's MRS for bananas would also increase as they receive more bananas.

c. If the values for the MRS at the current consumption bundles were reversed, meaning your MRS for bananas and the other person's MRS for apples were higher in absolute value, the answers to (a) and (b) would remain the same. The trade would still be mutually beneficial, as you would be able to offer more bananas in exchange for apples, increasing your utility, and the other person would benefit from receiving more apples.

d. For a mutually beneficial trade not to be possible, the MRS at the current bundles would have to be equal for both individuals. If the MRS values were equal, there would be no gain from trade as the individuals have the same willingness to trade bananas for apples. In such a scenario, a trade would not result in any increase in utility for either party.

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The we can draw a rectangle with length = 2 cm and width = 4 cm.

According to the statement

We have to find that the dimensions of the another rectangle.

So, For this purpose, we know that the

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees.

From the given information:

The perimeter of a pool is 150 m. The rectangle at the right is a scale drawing of the pool. The length of each square on the grid represents 1 cm. Draw another scale drawing of the pool using the scale 25 m to 2 cm.

Then

From the given rectangle,

Length of the rectangle = 5 cm

Width of the rectangle = 10 cm

Ratio of length : width = 1 : 2

Perimeter of the rectangle = 2(l + b)= 150 cm

l + b = 75 -----(1)

Since, l : b = 1 : 2

b = 2l ------(2)

From equations (1) and (2),

l + 2l = 75

3l = 75

l = 25 m

Width 'b' = 2(25) = 50 m

Now we have to draw a rectangle with a scale = 25 : 2

Therefore, Scale factor = 25/l = 25/2

Scale factor = l = 2cm

Then Similarly,

50/ w= 50/2

w = 4cm

Now we can draw a rectangle with length = 2 cm and width = 4 cm.

So, The we can draw a rectangle with length = 2 cm and width = 4 cm.

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Answer:

slope : 1

y-int : 2

Step-by-step explanation:

Answer:

Hi, so the slope is 1 and the y intercept is 2

Step-by-step explanation:

Why? because to find the slope, we have the formula rise over run, so if we take the two points (0,2) and (1,3), we can see that the rise is 1 and the run is 1, 1/1 is 1, so the slope is 1. The y intercept is when x = 0, as seen in the photo, when x=0, y=2, so y intercept is 2.

Answer:

\(Students = 340\)

Step-by-step explanation:

Given

\(2008 \to 83\%\)

\(2009 \to 85\%\)

\(2010 \to 89\%\)

\(2011 \to 84\%\)

\(2012 \to 88\%\)

\(2013 \to 81\%\)

\(n = 400\)

Required

The expected number of students

First, calculate the average attendance in the 6 years of the talent show.

\(\bar x = \frac{83\% + 85\% + 89\% + 84\% + 88\% + 81\%}{6}\)

\(\bar x = \frac{510\%}{6}\)

\(\bar x = 85\%\)

The expected number of students is:

\(Students =n * \bar x\)

\(Students = 400 * 85\%\)

\(Students = 340\)

Answer:

x = 3; y = 3/2; z = -1

Step-by-step explanation:

The diameter of the circle is 41, so the radius is 41/2.

DA, DB, and DC are radii of the circle, so their lengths are equal and they are half of the diameter.

DA = DB = DC = 41/2

Set each expression equal to 41/2.

Then you have a system of 3 equations in 3 variables.

8x + 2z - 3/2 = 41/2

6x + y + 1 = 41/2

11y - 2z + 2 = 41/2

Multiply both sides of all equations by 2 to get rid of the fractions.

16x + 4z - 3 = 41

12x + 2y + 2 = 41

22y - 4z + 4 = 41

Move all constants to the right side.

16x + 4z = 44     (I'll name this equation Equation 1.)

12x + 2y = 39      (This is Equation 2.)

22y - 4z = 37

Line up the variables.

16x         + 4z = 44

12x + 2y         = 39

      22y - 4z = 37

We will use the elimination method.

Add the first and third equations to eliminate z.

Write the second equation below it.

16x + 22y = 81

12x + 2y = 39

Now you have a system of 2 equations in 2 unknowns.

We will now eliminate y. Multiply he second equation by -11 and write it below the first equation. Then add them.

         16x + 22y = 81

(+)   -132x - 22y = -429

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

        -116x         = -348

Divide both sides by -116.

x = 3

Plug in 3 for x in Eq. 1 and solve for z.

16x + 4z = 44    Eq. 1

16(3) + 4z = 44

48 + 4z = 44

4z = -4

z = -1

Plug in 3 for x in Eq. 2 and solve for y.

12x + 2y = 39      Eq. 2

12(3) + 2y = 39

36 + 2y = 39

2y = 3

y = 3/2

Answer: x = 3; y = 3/2; z = -1

Answer:

See the matching below

Step-by-step explanation:

Given data

We have two expressions to match

3 * 9 and 2x3x9

3 * 9= 9*3

3 * 9=3*(4+5)

2x3x9= (2*3)*9

2x3x9= 9*3*2

Answer: 156!

Step-by-step explanation: i’m not going to lie, i guessed but, i ended up getting it right .