Based on the data shown below, calculate the regression line (each value to two decimal places) X + y = y 7.8 7.9 5.6 7.2 6.5 7.3 11.2 10 9 11 9.4 12 11.1 13 11.7 14 12.4 15 10.7 16 14.6 17 11.6 Submi

Answer

70

Step-by-step explanation:

2friends=30 1playoff=40 15+15=30+40=70

Answer:

Step-by-step explanation:

Dilation about the origin multiplies each coordinate value by the dilation factor.

For dilation factor k, the new coordinates are ...

  (x, y) ⇒ (kx, ky)

Your dilation factor is 3, so the transformation is ...

  (x, y) ⇒ (3x, 3y)

  A(-1, 4) ⇒ A'(-3, 12)

  B(3, 2) ⇒ B'(9, 6)

  C(-2, -2) ⇒ C'(-6, -6)

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

A probability can be classified as experimental or theoretical, as follows:

The dice has eight sides, hence the theoretical probability of rolling a six is given as follows:

1/8 = 0.125 = 12.5%.

(each of the eight sides is equally as likely, and a six is one of these sides).

The experimental probabilities are obtained considering the trials, hence:

The more trials, the closer the experimental probability should be to the theoretical probability.

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Add up all the average monthly rainfalls to get the sum. Make sure to follow the specific instructions given in the lesson and use the correct units for rainfall, such as inches or millimeters.

To find the sum of the average monthly rainfalls in the i Ready lesson, you will need to add up the average amounts of rainfall for each month. Start by gathering the monthly rainfall data and calculate the average rainfall for each month.

Then, add up all the average monthly rainfalls to get the sum. Make sure to follow the specific instructions given in the lesson and use the correct units for rainfall, such as inches or millimeters.

Take your time to accurately calculate the sum and double-check your work to ensure accuracy. If you encounter any difficulties, feel free to ask for further assistance.

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Answer:

transaction amount for transaction 3 is: -155.15

transaction amount for transaction 4 is: -223.75

Step-by-step explanation:

We need to fill the blanks in the table.

For Transaction 3 and 4 we need to find the transaction amount.

For Transaction 3

The account balance after transaction 2 was 337.50 and account balance after transaction 3 was 182.35.

The transaction amount is: 337.50-182.35 = 155.15

So, transaction amount for transaction 3 is: -155.15

For Transaction 4

The account balance after transaction 3 was 182.35 and account balance after transaction 4 was -41.40

The transaction amount is: -41.40-182.35 = -223.75

So, transaction amount for transaction 4 is: -223.75

Answer:

Solution given;

area of semi circle=½πr²=1/2×3.14×4²=25.12in²

area of rectangle ABCD=l×b=8×13=104in²

area of rectangle CEFI=l×b=3×6=18in²

Total area =25.12+104+18=147.12in²

Area of circle

Area of centre rectangle

Area of right rectangle

Total

Answer:

Area of trapezoid is: \(\mathbf{11x^3y^2}\)

Area of triangle is: \(\mathbf{6a^3b^2}\)

Perimeter of triangle is: \(\mathbf{3ab+14a^2b}\)

Step-by-step explanation:

Image 1:

We need to Find area of trapezoid.

The formula used is: \(Area=\frac{1}{2}h(b_1+b_2)\)

where h is height and b₁ and b₂ are parallel sides.

Looking at the figure we get:

h = 2xy

b₁ = 4x²y

b₂ = 7x²y

Putting values and finding area:

\(Area=\frac{1}{2}h(b_1+b_2)\\Area=\frac{1}{2}\times 2xy(7x^2y+4x^2y)\\Area=\frac{1}{2}\times 2xy(11x^2y)\\Area=\frac{1}{2}\times 22x^3y^2\\Area=11x^3y^2\)

So, Area of trapezoid is: \(\mathbf{11x^3y^2}\)

Image 2:

We need to find area and perimeter of triangle.

First we will find area of triangle.

The formula used is: \(Area=\frac{1}{2}\times b \times h\)

where b is base and h is height

Looking at the figure,

b = 3ab

h = 4a²b

Finding area:

\(Area=\frac{1}{2}\times b \times h\\Area=\frac{1}{2}\times 3ab \times 4a^2b\\Area=\frac{1}{2}\times 12a^3b^2\\Area=6a^3b^2\)

So, Area of triangle is: \(\mathbf{6a^3b^2}\)

Now, finding Perimeter of triangle

The formula used is: \(Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle\)

Looking at figure:

Length of side 1 = 3ab

Length of side 2 = 4a²b

Length of side 3 = 10a²b

Finding Perimeter

\(Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle\\Perimeter = 3ab+10a^2b+4a^2b\\Perimeter=3ab+14a^2b\)

So, Perimeter of triangle is: \(\mathbf{3ab+14a^2b}\)

The relationship between length and weight can be modeled by a power function.

The fact that the scatterplot of the natural logarithm of weight vs. the natural logarithm of length shows a more linear relationship suggests that the relationship between length and weight can be better modeled by a power function rather than an exponential function. This is because when the logarithms of both variables are taken, an exponential function becomes a linear function, while a power function remains a non-linear function.

In a power function, one variable is raised to a power that is not necessarily an integer, whereas in an exponential function, one variable is raised to a constant power. Therefore, it is more likely that the relationship between length and weight can be modeled by a power function.

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Answer:

the slope is 2 and a=8 b=6

Step-by-step explanation:

Responder:

Copias del libro A = 50

Copias del libro B = 70

Explicación paso a paso:

Costo por libros A = 200

Costo por libro B = 150

Sea el número de libros A = x

Número de libros B = y

Número total de libros comprados = 120

Costo total = 20,500

x + y = 120 - - - (1)

200x + 150y = 20500 - - - (2)

De 1)

x = 120 - y

Sustituya x = 120-y en (2)

200 (120 - años) + 150y = 20500

24000 - 200y + 150y = 20500

24000 - 50y = 20500

-50 años = 20500 - 24000

-50y = - 3500

y = 70

x = 120 - y

x = 120 - 70

x = 50

Answer:

c

Step-by-step explanation:

in all honesty because if you round thats what you would get

The two column proof showing that m∠5 + m∠2 + m∠6 = 180°  is as detailed below.

A two-column proof is defined as geometric proof that consists of a list of statements, and then the reasons that we know those statements are true.

Thus, the two column proof is;

Statement 1: y || z

Reason 1: Given

Statement 2: m∠1 + m∠2 + m∠3 = m∠LAM

Reason 2: Angle addition postulate

Statement 3: m∠1 + m∠2 + m∠3 = 180°

Reason 3: definition of straight angle

Statement 4: ∠1 ≅ ∠5

Reason 4: Alternate interior angles theorem

Statement 5: ∠3 ≅ ∠6

Reason 5: Alternate interior angles theorem

Statement 6: m∠1 ≅ m∠5

Reason 6: Definition of ≅(congruency)

Statement 7: ∠3 ≅ ∠6

Reason 7: Definition of ≅(congruency)

Statement 8: m∠5 + m∠2 + m∠6 = 180°

Reason 8: substitution

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Answer:

check picture ..
edge 2023

Step-by-step explanation:

The only number that is 10 times as much as 72 is 720.

To find the numbers that are 10 times as much as 72 or 1/10 of 72, we can perform the following calculations:

10 times 72 = 720

1/10 of 72 = 7.2

So, the numbers that are 10 times as much as 72 are 720.

The number 67 is not 10 times as much as 72 or 1/10 of 72. Therefore, it is not one of the numbers we are looking for.

On the other hand, 1/10 of 72 is 7.2, which is not one of the numbers we are looking for either.

Therefore, the only number that is 10 times as much as 72 is 720.

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complete question

Select all the numbers that are 10 times as much as 72, 67, or 1/10 of 72.

- 67

-46

-720

-480

Answer:

15/2 or 7.5

Step-by-step explanation:

-3 divided by -2/5 is also multiplying by the reciprocal:

-3 times 5/-2

-15/-2

15/2 or 7.5

Solution

For this case we can see that QT is perpendicular to PR and we want to find the correct proportional rule and for this case is:

C. PT/TQ = PR/TQ

Answer:

Step-by-step explanation:

Area of the rectangular area = Length * width

A = LW ...... 1

If he wants to have a rectangular area  of turf with length one foot less than 3 times the width, then

L = 3W - 1 ...... 2

Substitute 2 into 1

A = (2W-1)W

A = 2W^2 - W

Since area = 150sq.ft

150 = 2W^2 - W

2W^2 - W - 150 = 0

Factorize

2W^2 - W - 150 = 0

W = 1±√1+4(300)/2(2)

W =  1±√1201/2(2)

W = 1±34.655/4

W = 35.655/4

W = 8.91375

W = 8.9 (to nearest tenth)

Get the length

L = A/W

L = 150/8.9

L = 16.85

L = 16.6ft

Hence the length is 16.6ft and the width is 8.9ft

Answer:

ΔGJH ≅ ΔEKF

HL: GH and EF

SAS: FK and JH (or GH and EF)

ASA: ∠JGH and ∠FEK (or ∠EFK and ∠JHG)

ΔGFJ ≅ ΔEKH

SSS: KH and FJ

SAS: ∠KEH and ∠FGJ

Step-by-step explanation:

List whatever angles/sides need to be congruent for the two triangles to be congruent.

Prove ΔGJH ≅ ΔEKF using....

- HL (Hypotenuse + Leg)

           We already have two legs that are congruent (EK and GJ), so we just need the hypotenuses (GH and EF) to be equal.

- SAS (Side + Angle + Side)

         1 pair of sides (EK and JG) are equal, and m∠EKF = m∠GJH. So we need one more side. You can either use FK and JH or GH and EF.

- ASA (Angle + Side + Angle)

         1 pair of angles (∠EKF and ∠GJH) are already given as equal, and 1 pair of sides (EK and GJ) are equal. We just need one more pair of angles. So either ∠JGH and ∠FEK or ∠EFK and ∠JHG.

Prove ΔGFJ ≅ ΔEKH using...

- SSS (Side + Side + Side)

          Two pairs of sides (EK + GJ and EH + FG) are equal, so KH and FJ need to be equal.

- SAS (Side + Angle + Side)

          FG + EH and KE + GJ are equal. We need to use the angle in between them to use SAS, so ∠KEH and ∠FGJ need to be equal.

Answer:

\(x=4\)

Step-by-step explanation:

To solve this problem, one must use the angle bisector theorem. This theorem provides a proportion between the sides formed by an angle bisector. One can apply this theorem here by forming the following proportion,

\(\frac{BA}{BC}=\frac{AD}{DC}\)

Substitute,

\(\frac{x}{6}=\frac{2}{3}\)

Cross products,

\(3(x)=2(6)\)

Simplify,

\(3x=12\)

Inverse operations,

\(3x=12\\\\x = 4\)

Answer:

32

Step-by-step explanation:

There are two ways of doing this.

Frist, divide the amount of bolts by time. This will get you the bolts produced in 1 minute.

195/20

=

9.75

Now we know that 9.75 bolts are produced every 1 minute.

Lets divide the 312 bolts by the bolts produced per minute. This will give us the amount of minutes it takes to produce the 312 bolts.

312/9.75

=

32.

This is our answer.

Another way of doing thisis to divide the 20 minutes by 195, this will give you how long it takes to produce a single bolt.

20/195

=

0.1025

Now, just multpliy it by 312, and you get how long it takes to produce 312 bolts.

0.1025*312

=

32

And again, you get the answer.

Hope this helps! ;)

Answer:

32 I guess

Step-by-step explanation:

a. The value corresponding to surviving the year is $0, and the value corresponding to not surviving the year is -$90,000.

b. The expected value for the 33-year-old male purchasing the policy is -$579.06.

c. Yes, the insurance company can expect to make a profit from many such policies because the expected profit per 33-year-old male insured for 1 year is $408.06.

a. The monetary value corresponding to surviving the year is $0 because the individual would not receive any payout from the insurance policy if he survives. The monetary value corresponding to not surviving the year is -$90,000 because in the event of the individual's death, the policy pays out a death benefit of $90,000.

b. To calculate the expected value for the 33-year-old male purchasing the policy, we need to multiply the probability of each event by its corresponding monetary value and sum them up. The probability of surviving the year is 0.9988, and the value corresponding to surviving is $0. The probability of not surviving the year is (1 - 0.9988) = 0.0012, and the value corresponding to not surviving is -$90,000.

Expected value = (Probability of surviving * Value of surviving) + (Probability of not surviving * Value of not surviving)

Expected value = (0.9988 * $0) + (0.0012 * -$90,000)

Expected value = -$108 + -$471.06

Expected value = -$579.06 (rounded to the nearest cent)

c. The insurance company can expect to make a profit from many such policies because the expected value for the 33-year-old male purchasing the policy is negative (-$579.06). This means, on average, the insurance company would pay out $579.06 more in claims than it collects in premiums for each 33-year-old male insured for 1 year. Therefore, the insurance company expects to make an average profit of $579.06 on every 33-year-old male it insures for 1 year.

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Answer:

6.3

Step-by-step explanation:

The 3x3 matrix after composite transformation of scaling by 2, a rotation of 90° about origin is \(\left[\begin{array}{ccc}2c&2d&2i\\2b&2e&2h\\2a&2d&2g\end{array}\right]\).

Let A=\(\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right]\) be a 3x3 matrix

scaling the matrix A by 2 then  the result will be

\(2A=2\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right]\\\\=\left[\begin{array}{ccc}2a&2b&2c\\2d&2e&2f\\2g&2h&2i\end{array}\right]\)

now, rotating the resultant matrix by 90° in counterclockwise direction about the origin, we get

\(=\left[\begin{array}{ccc}2c&2d&2i\\2b&2e&2h\\2a&2d&2g\end{array}\right]\)

Thus, a 3x3 matrix after composite transformation of scaling by 2, a rotation of 90° about origin is \(\left[\begin{array}{ccc}2c&2d&2i\\2b&2e&2h\\2a&2d&2g\end{array}\right]\)

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Answer:

20-x

Step-by-step explanation:

you need the value of x to answer

To find the determinant of a matrix using row reduction to echelon form, you can follow these steps:

1. Start with the given matrix.

2. Apply row operations to convert the matrix into echelon form. Row operations include multiplying a row by a nonzero scalar, adding a multiple of one row to another, and swapping two rows.

3. Continue performing row operations until you reach the echelon form, where all leading coefficients (the leftmost nonzero entry in each row) are 1 and the entries below leading coefficients are all zeros.

4. Once you have the matrix in echelon form, the determinant can be calculated by multiplying the leading coefficients of each row.

5. If you perform any row swaps during the row reduction process, keep track of the number of swaps. If the number of swaps is odd, multiply the determinant by -1.

Let's look at an example to illustrate these steps. Suppose we have the following 3x3 matrix:

| 2  1  3 |
| 1 -2 -4 |
| 3  0  1 |

Step 1: Start with the given matrix.

Step 2: Apply row operations to convert the matrix into echelon form.

First, we can multiply the first row by -1/2 and add it to the second row, resulting in:

| 2   1   3  |
| 0  -5/2 -5/2|
| 3   0    1  |

Next, multiply the first row by -3/2 and add it to the third row, giving us:

| 2   1   3  |
| 0  -5/2 -5/2|
| 0  -3/2 -8/2|

Finally, multiply the second row by -2/5 to get a leading coefficient of 1:

| 2   1   3  |
| 0   1    1 |
| 0  -3/2 -8/2|

Step 3: The matrix is now in echelon form.

Step 4: Calculate the determinant by multiplying the leading coefficients of each row:

2 * 1 * (-8/2) = -8

Step 5: Since no row swaps were performed, we don't need to multiply the determinant by -1.

Therefore, the determinant of the given matrix is -8.

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to solve for y, we must multiply by t on both side to get ride of the t in the denominator. By doing this, we will get:

\( {t}^{3} \)

on the right side.

Subtracting 3, and we have successfully isolated y.

It would be impossible to get a quantitative value for y if we don't know the value of t.

respuesta listsdafddfssdffd

Answer:

Upper Right

Step-by-step explanation:

All of them have different dips, therefore the one facing in a different direction must be the odd one out.

Answer:

top right graph

Step-by-step explanation:

3 of the 4 graphs start at negative infinity for negative x, and approach infinity as x approaches infinity.

The top right graph starts at infinity for negative x and approaches negative infinity as x approaches infinity.

Answer: top right graph

The cost of the fare based on the information is $16.32.

Amount for the fare = $12.75

Tip for the driver = 20% = 20% × $12.75 = $2.55

Tax rate = 8% = 8% × $12.75 = $1.02

Therefore the total amount will be:

= Cost of fare + Tip + Tax

= $12.75 + $2.55 + $1.02

= $16.32

The cost is $16.32. This illustrate the concept of addition.

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The equation of line passes through the point (4, 2) will be;

⇒ y = -4x/3 + 22/3

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (4, 2).

And, The perpendicular line is,

⇒ 4x + 3y = 7

Now,

Since, The equation of line passes through the point ( 4, 2).

So, We need to find the slope of the line.

Since, The product of slope of the perpendicular lines is - 1.

Hence, Slope of the line is,

4x + 3y = 7

3y = - 4x + 7

y = - 4/3x + 7

m = dy/dx = - 4/3

m = - 4/3

Thus, The equation of line with slope - 4/3 is,

⇒ y - 2 = -4/3 (x - 4)

⇒ y - 2 = -4/3 (x - 4)

⇒ y - 2 = -4x/3 + 16/3

⇒ y = -4x/3 + 16/3 + 2

⇒ y = -4x/3 + 22/3

Therefore, The equation of line passes through the point (4, 2) is;

⇒ y = -4x/3 + 22/3

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Answer:

Step-by-step explanation:

he's off by 1.2  sooo

divide 1.2 / 3.6  = 0.3333333333333

or 33%  approx.

Answer:$0.35

Step-by-step explanation:

8-2=6

2.10 divided by 6=$0.35