Linear Equations Digital Escape!
number 4 and 5

Answer:

1. Answer is A 43 degrees

2. Answer is c 65 degrees

Step-by-step explanation: Hope this helps! :))

hope help you keep smiling a =7.35*3.44

The least square regression line equation is y = a + bx, where y is the response variable (sepal width), x is the independent or predictor variable (sepal length), a is the intercept, and b is the slope of the line.

The equation for the least square regression line is y = a + bx, where y is the dependent or response variable, x is the independent or predictor variable, a is the intercept, and b is the slope of the line. To calculate the equation for the least square regression line when the independent or predictor variable is sepal length and the dependent or response variable is sepal width for iris versicolor, the following steps should be taken: First, calculate the mean of the sepal lengths and the sepal widths. Then, calculate the variance of the sepal lengths, and the variance of the sepal widths. Next, calculate the covariance of the sepal length and sepal width. Finally, calculate the slope (b) of the regression line using the formula b = covariance/(variance of x). Once the slope is calculated, substitute it into the regression line equation to calculate the intercept (a). Using the mean of the sepal lengths and the slope and intercept, the equation for the least square regression line for the given data set can be calculated.

Learn more about variable here

https://brainly.com/question/2466865

#SPJ4

Answer:

35

Step-by-step explanation:

To find the value of x that makes the median and mean equal, we first need to determine the median of the data set. In this case, the median is the middle value when the data is arranged in order. Since there are 7 values, the median is the fourth value, which is 11.

To find the mean of the data set, we add up all the values and divide by the number of values.

Mean = (6 + 8 + 3 + 11 + 5 + 13 + x) / 7

To find x, we need to make the median and mean equal.

11 = (6 + 8 + 3 + 11 + 5 + 13 + x) / 7

Multiply both sides by 7

77 = 6 + 8 + 3 + 11 + 5 + 13 + x

Subtracting the sum of the other values from both sides

77 - 42 = x

x = 35

So, the value of x that makes the median and mean equal is 35.

Answer:

.................                

Step-by-step explanation:

        /..........

The most appropriate statement is that C. The shaded area represent both 2/3 and 6/9 of the whole shape.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Given a square.

This square is divided in to 9 equal sized squares, with 3 rows and 3 columns.

Out of the 9 equal sized squares, 6 squares are shaded.

We can write the fraction of shaded squares to total number of squares as 6/9.

In the same way, we have in the question that, 6 squares which are shaded is the squares in the first two columns, where each column has three squares.

So we can say that, out of 3 equal sized columns, two columns are shaded.

Fraction of shaded columns to total columns is 2/3.

So 2/3 = 6/9.

Hence shaded area represent both 2/3 and 6/9 of the whole shape.

Learn more about Fractions here :

https://brainly.com/question/10354322

#SPJ1

The height of the cube calculated from volume 48x⁶y⁵  cubic units, length 6x³y and breadth 4x²y³ is 2xy units.

A cuboid is a six-sided solid known as a hexahedron. Quadrilaterals make up its faces. Cuboid is short for "like a cube." A cuboid is similar to a cube in that a cuboid may become a cube by varying the lengths of the edges or the angles between the faces.

Features of a Cuboid :

A cube is a specific instance of a cuboid in which the length, width, and height are all equal. Accordingly, a cuboid is a cube.

The Volume of the cube is 48x⁶y⁵  cubic units

The length of the cube is 6x³y unit

Breadth of the cube is 4x²y³ unit

The height of the cube be H

We know,

volume(V)  = length(L) * breadth(B) * height(H)

⇒ height = V/L*B = (48x⁶y⁵)/(6x³y)*(4x²y³)

⇒ height = (48x⁶y⁵)/(24x⁵y⁴) = 2xy

The height of the cube calculated from volume 48x⁶y⁵  cubic units, length 6x³y and breadth 4x²y³ is 2xy units.

To learn more about Cubes refer to :

https://brainly.com/question/21442836

#SPJ1

The side of the square will be 47 cm.

A quadrilateral is a four-sided polygon, having four edges and four corners.

Square is a regular quadrilateral, which has all the four sides of equal length and all four angles are also equal.

Given that the side is x cm

each side of the square is increased by 4cm

Then side will be x+4 cm

The area is increased by 392cm².

x²+392=(x+4)²

x²+392=x²+16+8x

392-16=8x

376=8x

Divide both sides by 8

x=376/8

x=47

Hence, the side of the square will be 47 cm.

To learn more on Quadrilateral click:

https://brainly.com/question/13805601

#SPJ1

The region that minimizes the value of ∫∫R(x² + y² - 9)dA is the unit circle centered at (0, 0) with radius 3.

To see why this is the case, consider that x² + y² is the equation of a circle with center at the origin. The value of the integrand, x² + y² - 9, is minimized when x² + y² = 9, which is a circle with radius 3 centered at the origin.

The double integral ∫∫R(x² + y² - 9)dA represents the total area under the graph of x² + y² - 9 over the region R. The minimum value of this integral would be achieved when the region R is the smallest possible region that covers the minimum value of the integrand.

In this case, the smallest region that covers the minimum value of the integrand is the unit circle centered at (0, 0) with radius 3.

Therefore, the region that minimizes the value of ∫∫R(x² + y² - 9)dA is the unit circle centered at (0, 0) with radius 3.

To know more on similar problem on minimizing value

https://brainly.com/question/19340098

#SPJ4

The area of the circle that has a diameter of 78 cm is: 4,778.4 cm².

The area of a circle can be calculated using the following formula:

A = πr^2, where A is the area, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle (the distance from the center of the circle to its edge).

Given that the diameter of the circle = 78 cm, therefore:

Radius (r) = 78/2 = 39 cm

Area of the circle = π * r² = π * 39²

Area of the circle = 4,778.4 cm²

Learn more about the area of a circle on:

https://brainly.com/question/12269818

#SPJ1

∫10∫1∫ ∫01∫x1∫xy dzdydx as an iterated integral in the order dydzdx then the sum of the six limits of integration =  [tex]\int\limits^x_0\int\limits^2_1 f(x,y) dydx[/tex]

Let D be the region bounded by the lines y = 1, y = 2, x = 0, and x = x. In order to express the double integral as an iterated integral with reversed order of integration, we first need to sketch the region D.

[tex]\int\limits^x_0\int\limits^2_1 f(x,y) dydx[/tex]

The region is bounded by the lines y = 1, y = 2, x = 0, and x = x. This forms a triangle-like shape with 1 and 2 being the x-coordinates of the vertices and x = 0 being the base of the triangle. Then, we can express the double

integral as: [tex]\int\limits^x_0\int\limits^2_1 f(x,y) dydx[/tex]where the order of integration is reversed from the original double integral. This means that first we are integrating with respect to y from 0 to x, and then we are integrating with respect to x from 1 to 2.

Therefore,

∫10∫1∫ ∫01∫x1∫xy dzdydx as an iterated integral in the order dydzdx then the sum of the six limits of integration =  [tex]\int\limits^x_0\int\limits^2_1 f(x,y) dydx[/tex]

To learn more about Integration problems visit ;

brainly.com/question/29850014

#SPJ4

Answer:

To calculate the length of the metal band, you need to first calculate the circumference of each pipe. The circumference of a pipe is equal to the diameter of the pipe multiplied by π (3.14). Therefore, the circumference of each pipe is 10 cm x 3.14 = 31.4 cm. Since there are 16 pipes, the total circumference of all the pipes is 16 x 31.4 cm = 500.64 cm. The length of the metal band will be the same as the total circumference, so it will be 500.64 cm.

Answer:

Step-by-step explanation:

The area of a right triangle is A=(1/2)base*height

A=(1/2)(b)(h)

200ft²=(1/2)(10ft)h

200ft²=5ft(h)

40ft=h

Using Pythagorean Theorem for a right triangle a²+b²=c²

a²+b²=c²

(40ft)²+(10ft)²=c²

1600ft²+100ft²=c²

1700ft²=c²

√(1700ft²)=c

10√17=c

41.231056256=c

41.2≅c

On solving the provided question, we can say that the coordinates are (-2,0) and (0,2) slope is = m = 2-0/0+2= 1 and slope intercept equation is y-2 = x+2 => x-y = 0

In mathematics, the intersection point is the place on the y-axis where the slope of the line crosses. a place where the y-axis crosses on a line or curve. Y = mx+c, where m stands for the slope and c for the y-intercept, is used as the equation for the straight line to show this. The slope (m) of the line and its y-intercept (b) are emphasised in the equation's intercept form. When an equation has the intercept form (y=mx+b), the slope is m and the y-intercept is b. Some equations can also be rewritten such that they seem to be slope intercepts. If y=x is rewritten as y=1x+0, for instance, the slope and y-intercept are both changed to 1.

the coordinates are (-2,0) and (0,2)

slope is = m = 2-0/0+2= 1

slope intercept equation is y-2 = x+2

x-y = 0

To know more about slope intercept visit:

https://brainly.com/question/19824331

#SPJ1

Don't worry, I gotchya :)

50% of 2006 is ⇒1003

2006% of 50 is ⇒1003

So 2006% of 50 + 50% of 2006 = 1003 + 1003

1003+1003 = 2006

Hope this helped you!

A cardioid is a mathematical curve that is commonly studied in geometry and calculus. It is defined by the equation r = 1 + cos(θ), where r is the radial distance from the origin and θ is the polar angle. The cardioid has a distinctive heart-shaped form, and it is a smooth curve that can have tangent lines at certain points.

Horizontal Tangent Line:

A horizontal tangent line is a tangent line that is parallel to the x-axis. To find the points on the cardioid at which there is a horizontal tangent line, we need to find the points where the derivative of the curve is equal to zero in the x direction. The derivative of r = 1 + cos(θ) with respect to θ is -sin(θ), and the derivative of r with respect to x is cos(θ). Setting these two derivatives equal to zero, we have:

-sin(θ) = 0

cos(θ) = 0

The first equation has a solution when θ = n * π, where n is an integer. The second equation has solutions when θ = (2n + 1) * π/2, where n is an integer. When θ = n * π, the cardioid is at its maximum value, and when θ = (2n + 1) * π/2, the cardioid is at its minimum value. These points correspond to horizontal tangent lines on the cardioid.

Vertical Tangent Line:

A vertical tangent line is a tangent line that is perpendicular to the x-axis. To find the points on the cardioid at which there is a vertical tangent line, we need to find the points where the derivative of the curve is equal to zero in the y direction. The derivative of r with respect to y is sin(θ), and setting this derivative equal to zero, we have:

sin(θ) = 0

This equation has solutions when θ = (2n) * π/2, where n is an integer. These points correspond to vertical tangent lines on the cardioid.

Singular Point:

A singular point is a point on the curve at which the curve is not smooth and its tangent line is undefined. To find the singular points on the cardioid, we need to find the points where the second derivative of the curve is equal to zero. The second derivative of r = 1 + cos(θ) with respect to θ is -cos(θ), and setting this derivative equal to zero, we have:

-cos(θ) = 0

This equation has solutions when θ = n * π, where n is an integer. These points correspond to singular points on the cardioid.

In conclusion, the points on the cardioid at which there is a horizontal tangent line are given by θ = n * π and θ = (2n + 1) * π/2. The points at which there is a vertical tangent line are given by θ = (2n) * π/2. The singular points are given by θ = n * π. These points can be used to study the properties and behavior of the cardioid in more detail.

Here you can learn more about the cardioid

https://brainly.com/question/29556891#

#SPJ11

Answer:

(4,0) and (6,0)

Step-by-step explanation:

X intercepts lie on the x-axis, and has a y value of 0. Remember it as a coordinate intercepts x on the x axis. The 2 points with a y value of 0 is (4,0) and (6,0).

Answer:

[tex]d = \frac{29}{10} [/tex]

Step-by-step explanation:

[tex]d = 2 \frac{9}{10} [/tex]

d = 2.9

Answer:

zero

Step-by-step explanation:

the projection of vector RS onto vector PQ is zero

please find the attachment for detail

Answer:

Step-by-step explanation:

8+2*3-5*2+(82+4+4):(12+6+12)+3=
Firstly, we should use the BODMAS rule.
B: Brackets
O: Off
D: Division
M:Multiplication
A:Additioin
S:Subtraction
by this format we should start our problem.
Now, we solve the brackets
=8+2*3-5*2+(90):(28)+3
Now, we solve the multiplication
=8+6-7+(90):(28)+3

Now, we solve the addition part
=108-7:31
Now, the subtraction
=101:31 is the answer

The turning point of the function is (37, -232)

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

y = f(x) has a turning point of (-33, 22)

For the transformed function f(x + 70) -254, we have

Turning point = (-33 + 70, 22 - 254)

Evaluate the like terms

Turning point = (37, -232)

Hence, the turning point is (37, -232)

Read more about turning point at

https://brainly.com/question/29293361

#SPJ1

The correct answer is d. 1/x².

The integrating factor for the given equation is 1/x².

To solve a linear differential equation, we must first find an integrating factor so that the equation can be integrated. The integrating factor for the given equation is 1/x². To calculate it, we must multiply both sides of the equation by the integrating factor.

Let's start by rearranging the equation: y' - y/x = x

We multiply both sides of the equation by the integrating factor, 1/x²:

(1/x²) (y' - y/x) = (1/x²) x

We can simplify the left side of the equation by factoring out the y': y'/x² + (y/x³) = (1/x²) x

We can then solve for the integrating factor: 1/x² + (y/x³) = x/x²

We can then solve for the integrating factor: 1/x². Therefore, the integrating factor for the given equation is 1/x².

Learn more about integrating factor here:

https://brainly.com/question/29249797

#SPJ4

If Vector A = [15, 80 degrees] and Vector B = 12i - 16j, the magnitude of Vector A - Vector B is 32.17

We are given Vector A = ( 15, 80° )

It can be written as: Vector A = 15 cos 80° i + 15 sin 80° j

                   Vector A = 2.6 i + 14.77 j

Also, Vector B = 12 i - 16 j

Now, Vector A - Vector B = 2.6 i + 14.77 j - ( 12 i - 16 j )

                                          = -9.4 i + 30.77 j

We are asked to calculate the Magnitude of Vector A - Vector B = | A - B|

                                                        = ((-9.4)² + (30.77)²)^0.5

                                                        = (88.36 + 946.79)^0.5

                                                        = 32.17

Therefore, the magnitude of Vector A - Vector B is 32.17

To learn more about Magnitude of vectors here:

brainly.com/question/18441260

#SPJ4

Answer: 1 km

Step-by-step explanation: For this question, you need to first convert the 20 minutes into hours. You know that an hour is 60 minutes, so dividing 20 by 60 leaves you with 1/3 of an hour. The question says that she can go 3 km/h in her wheelchair, so 3 x 1/3 = 1 km.

We traveled to our grandparents for vacation. We drove 234.7 miles before lunch. We got back in the car and drove 37.93 miles before

the expected value of perfect information is not the same as the expected value with perfect information then it is a true statement

For a decision alternative the weighted average of the payoffs is known as the Expected Value.

For a chance node, it is the weighted average of the payoffs. The weights are the state-of-nature probabilities.  A weighted average is an average that multiplies each component by a factor representing its frequency or probability. The expected value is the return or cost you can expect on average, given many trials. The payoff of a game is the expected value of the game minus the cost.

The expected value is the return or cost you can expect on average, given many trials. A weighted average is an average that multiplies each component by a factor representing its frequency or probability. A weighted average is like a regular average except the data is often given to you in summary form.

To read more about Expected Value click here brainly.com/question/13945225

#SPJ4

From the advertisement, Company B's plan is $7.50 lower per month than Company A's plan.

To learn more about equation refer:

brainly.com/question/17145398

#SPJ1

A line passes through the two points (4, 7) and (2, 3).

The equation of the line is y = 2x + 1.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

A line passes through the two points (4, 7) and (2, 3).

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

y - 7 = {(3 -7)/(2 -4)} (x - 4)

y - 7 = 2(x - 4)

y = 2x + 1

Therefore, the equation of the line is y = 2x + 1.

To learn more about the slope;

brainly.com/question/3605446

#SPJ1

Answer: 7

Step-by-step explanation:

When solving the equation remember to follow pemdas (parentheses, multiplication, division, addition and finally subtraction.)

1. Distribute the two. Two times 1 is two and two times two is 4.

6÷2+4

2. 6 divided by 2 is 3.

3+4

3. 3 plus 4 equals 7.

:)