What is the slop of the line?

The numbers of questions answered correctly by various students on a 10 question quiz are an example of discrete data.

Discrete data is the type of data that has clear spaces between values.

As a result, the test-scores are discrete data. Although most discrete data, refers to things we can count easily, it does not have to be numeric. Non-numeric categories could be described as discrete data.

Discrete data is a count that involves integers — only a limited number of values is possible. This type of data cannot be subdivided into different parts. Discrete data includes discrete variables that are finite, numeric, countable, and non-negative integers.

Discrete data is a type of quantitative data that includes figures and statistics of non divisible, single points of data that you can count. You typically write discrete data points as numbers that represent exact values, and discrete data usually represents single events that have already occurred. When reviewing discrete data, companies analyze exact figures like units that were sold on a given day or the hours that an employee worked during a certain week.

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Using proportions, it is found that the difference between the two salary options each year is of $5,545.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

For the first option, $115 per week plus 9.5% commission on the associate’s total sales, the yearly salary is:

115 x 52 + 0.095 x 125000 = $17,855.

For the second option, $450 per week with no commission, the yearly salary is:

450 x 52 = $23,400.

Hence the difference is given as follows:

23400 - 17855 = $5,545.

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The simplest form is 10.

We can find simplest as form:

Given, fractions are [tex]9\frac{1}{6}[/tex] and [tex]1\frac{1}{11}[/tex]

[tex]9\frac{1}{6}\times 1\frac{1}{11}[/tex]

[tex]\frac{55}{6}\times \frac{12}{11}[/tex]

[tex]=\frac{55\times 12}{6\times 11}[/tex]

=10

Hence, simplest form of given fraction is 10.

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Answer:

The second option:

[tex]2\sqrt{x}[/tex]

Step-by-step explanation:

If you need work please ask!

Have a nice day!

Answer:

8 types of sandwiches.

Step-by-step explanation:

she has choices of :

1 turkey sandwich

1 roast beef sandwich

1 ham sandwich

1 white sandwich

1 white bread sandwich

1 American sandwich

1 swiss sandwich

1 colby cheese sandwich.

Answer:

8 types

Step-by-step explanation:

she had alot of choice like :

Turkey, roast beef, ham, swiss, corby cheese, wheat or whitebread and american sandwhich .

The type of model that best fits the given situation is; A linear equation  Model

Right inside the local reservoir we will have an initial amount of water A.

Now, for every hour that passes by, the amount of water in the reservoir decreases by 500 gals.

Thus, after t hours, the amount of water in the reservoir is expressed as:

W = A - 500gal * t

This is clearly a linear equation model and so we can conclude that the model that fits best in the given situation is a linear model.

The domain of this model is restricted because we can't have a negative amount of water in the reservoir,  and as such the maximum value of t accepted is: W = 0 = A - 500gal*t

t = A/500 hours

Therefore, the domain of this linear relation is: t ∈ {0h, A/500 }

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The time spent practicing and the number of free throws made has a positive correlation. The number of items bought and the checking account balance has a negative correlation. The height of baseball player and the

number of hits made has no correlation.

About positive correlation:

Two variables that move together, or in the same direction, are said to have a positive correlation. When one variable rises while the other rises or when one variable falls while the other falls, there is a positive correlation.

About negative correlation:

A negative or inverse relationship between two variables in statistics exists when higher values of one variable tend to be correlated with lower values of the other. Such scenarios have negative correlation.

About no correlation:

When two events or variables are unaffected by each other or are not inter-related, they are said to possess no correlation.

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Answer:

option 1 is positive option 2 is negative option 3 is none

Step-by-step explanation:

Enginuity said so

The distance between the ships changing at 92.29 Knots

                              [tex]d(t) = \sqrt{(18t)^{2} + (40+17t)^{2} } \\[/tex]

The rate of change of distance is -

                              [tex]\frac{dd}{dt} = \frac{36t + 2(40 + 17t)17}{2\sqrt{18t^{2} + (40 + 17t) } }[/tex]

after putting t = 5 into this rate of change ,

we get, answer = 92.29

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The value of P(4<X≤12) is 0.45

The complete question is added as an attachment

To calculate P(4<X≤12), we use the following equation

P(4<X≤12) = P(4<X≤8) + P(8<X≤12)

From the histogram, we have:

P(4<X≤8) = 0.1

P(8<X≤12) = 0.35

So, we have:

P(4<X≤12) = 0.1 + 0.35

Evaluate

P(4<X≤12) = 0.45

Hence, the value of P(4<X≤12) is 0.45

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The ball will take 1.15 seconds to hit the floor.

It is given that,

A juggler is performing her act using several balls. The height as a function of time is given by :

[tex]h(t) =-16t^{2} + vt +s[/tex].............(1)

where,

v is the speed of the ball

s is initial height

t is time taken

Putting h(t) = 0 and solving equation (1)

[tex]-16t^{2} + vt +s = 0[/tex]

[tex]-16t^{2} + 15t +4 = 0[/tex]

On solving above equation using graphing calculator and solving for t we get, t = 1.154 second.

Hence, the correct option is (b) " 1.15 seconds ".

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The equation of a line that exists perpendicular to line g contains (P, Q) exists x + 4y = 4Q + P.

Given: Coordinate plane with line g that passes through the points (-2,6) and (-3,2).

The coordinate of G: (-2,6) and (-3,2)

Let, [tex]$&\left(x_{1}, y_{1}\right)=(-2,6) \\[/tex] and [tex]$&\left(x_{2}, y_{2}\right)=(-3,2)[/tex]

The slope of a line [tex]$\mathbf{g}$[/tex] :

[tex]$m &=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\[/tex]

[tex]$m &=\frac{2-6}{-3-(-2)} \\[/tex]

[tex]$m &=\frac{-4}{-1} \\[/tex]

m = 4

So, the slope of a line g exists 4.

To find the slope of a line perpendicular to g,

[tex]$&m_{1}=-\frac{1}{m} \\[/tex]

[tex]$&m_{1}=-\frac{1}{4}[/tex]

The equation of the slope point form of the line exists

[tex]$\left(y-y_{1}\right)=m\left(x-x_{1}\right)$[/tex]

[tex]$y-Q=-\frac{1}{4}(x-P)$[/tex]

[tex]$4 y-4 Q=-x+P$[/tex]

[tex]$x+4 y=4 Q+P$[/tex]

Therefore, the equation of a line that exists perpendicular to line g contains (P, Q) exists x + 4y = 4Q + P.

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The coordinates of point J' in the quadrilateral F'G'H'J' is J'(-2, -4)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Rigid transformation is a transformation that preserves the shape and size of a figure such as translation, reflection and rotation.

Quadrilateral FGHJ is dilated according to the rule Do,Two-thirds(x,y) to create the image quadrilateral F'G'H'J', which is not shown. Quadrilateral FGHJ has points F(-5, -4), G(-3, -2), H(-1, -4) and J(-3, -6).

The coordinates of point J' in the quadrilateral F'G'H'J' is J'(-2, -4)

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Answer:

(-2,-4)

Step-by-step explanation:

Geometry B E2020!! :3

Answer:

[tex]\frac{a^3b^4}{ab^2}[/tex] which is the last choice in the question

Step-by-step explanation:

Simplify

[tex]\frac{a^3b^{-2}}{ab^{-4}} = \frac{a^3}{a}\frac{b^{-2}}{b^{-4}}[/tex]

Using the fact that [tex]\frac{x^m}{x^n} =x^{m-n}[/tex]

We get

[tex]\frac{a^3}{a} = a^{3-1} = a^2[/tex]

[tex]\frac{b^{-2}}{b^{-4}} = b^{-2-(-4)} = b^2[/tex]

So

[tex]\frac{a^3b^{-2}}{ab^{-4}} =a^2b^2[/tex]

Multiplying numerator and denominator by [tex]ab^2[/tex] gives

[tex]a^2b^2 \frac{ab^2}{ab^2}[/tex]

= [tex]\frac{a^3b^4}{ab^2}[/tex] ANSWER

Hint:

We can eliminate first choice since negative exponents still remain

We can eliminate third choice because the expression has a minus sign which is not possible

That just leaves second and fourth choices to work with

The measure of the side SQ from the given diagram is 19/6

Similar shapes are shapes that has equal length and equal side measures and angles.

From the given diagram, the measure of the sides TSis congruent to SP and the measure of MS is congruent to SQ.

Using the expression below to determine the value of x

MS/ST = SQ/SP

Given the following parameters

MS =30

ST = 10

SQ = 6x-1

SP =  3 - 2x

Substitute the given parameters into the formula to have:

30/10 = 6x-1/3-2x

Cross multiply

10(6x-1) = 30(3-2x)

Expand

60x - 10 = 90 - 60x

60x + 60x = 90 + 10

120x = 100

x = 10/12

x = 5/6

Determine the measure of SQ

SQ = 6x - 1

SQ = 5(5/6) - 1

SQ = 25/6  - 1

SQ = 19/6

Hence the measure of the side SQ from the given diagram is 19/6

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Answer:

Step-by-step explanation:

1144

When measuring variables, it is often preferable to use a small sample size because the smaller the sample the greater the chance of a spurious result.

Therefore, when measuring variables, it is often preferable to use a small sample size because the smaller the sample the greater the chance of a spurious result.

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[tex](\frac{3}{2},\frac{5}{2})[/tex]

The first equation can be rearranged by subtracting y from both sides. This gives you x = 4 - y.

The second equation is x = y - 1

Therefore, as both equations are equal to x, you can say that they are equal to each other, so 4 - y = y - 1.

If you add 1 to each side, you get 5 - y = y

If you add y to each side, you get 5 = 2y

Divide both sides by 2 to get y = 5/2

Now you can substitute 5/2 for y. For example, the second equation becomes x = 5/2 - 1

x is therefore 3/2

This can  be written as [tex](\frac{3}{2},\frac{5}{2})[/tex], which is the final answer.

The solution to the system of equations is (-2, 3)

The variable used to predict another variable in a regression analysis (usually x) is called the independent variable.

The regression analysis is used to determine the effect on the dependent variable with every one unit change in the independent variable.

The dependent variable is also known as response.

and the independent variable is also known as predictor.

In case of simple linear regression there is only one independent variable and in cases of multiple linear regression there are more than one independent variables.

The general form of simple linear regression is:

[tex]y=mx+c[/tex]

The general form of multiple linear regression is:

[tex]y=c+m_1x_1+m_2x_2+...+m_nx_n[/tex]

The dependent variable are usually denoted by the letter "y" and the independent variables are usually denoted by the letter "x".

Therefore, the variable used to predict another variable in a regression analysis (usually x) is called the independent variable.

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The step that is the part of the process of algebraically solving the given system of equations is (C) 4x – 10 = x2 – 5x + 10 and (E) 0 = x2 – 9x + 20.

To find the step that is the part of the process of algebraically solving the given system of equations:

That would be:

(C) 4x – 10 = x2 – 5x + 10  ( y = 4x - 10 is substituted for y).

Proof:      

(E) 0 = x2 – 9x + 20  (liked terms are grouped and simplified).

Proof:      

Solving:

Therefore, the step that is part of the process of algebraically solving the given system of equations is (C) 4x – 10 = x2 – 5x + 10.

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The complete question is given below:
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Check all that apply.

(A) y = x2 + 5x + 10

(B) y + 5x = x2 + 10 + 4x – 10

(C) 4x – 10 = x2 – 5x + 10

(D) 0 = x2 – 9x

(E) 0 = x2 – 9x + 20

(F) One x-value of a solution to the system is 4.

Answer: [tex]\Large\boxed{\angle DAB=62^\circ}[/tex]

Concept:

Here, we need to know about the idea of a cyclic quadrilateral.

In a cyclic quadrilateral, the sum of either pair of opposite angles is supplementary, which means they add up to 180°.

Please refer to the attachment below for a graphical explanation

Solve:

Given information

∠DAB = 2x + 4

∠ABC = 4y + 4

∠BCD = 4x + 2

∠CDA = 3y + 8

Derived formula from the concept

∠DAB + ∠BCD = 180°

∠ABC + ∠CDA = 180° (Not Important)

Substitute values into the formula that includes ∠DAB

∠DAB + ∠BCD = 180°

(2x + 4) + (4x + 2) = 180

Combine like terms

2x + 4 + 4x + 2 = 180

2x + 4x + 4 + 2 = 180

6x + 6 = 180

Subtract 6 on both sides

6x + 6 - 6 = 180 - 6

6x = 174

Divide 6 on both sides

6x / 6 = 174 / 6

x = 29

Substitute values into the angle expression of ∠DAB

∠DAB = 2x + 4

∠DAB = 2 (29) + 4

∠DAB = 58 + 4

[tex]\Large\boxed{\angle DAB=62^\circ}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

The mean GPA is greater than 2.75.

To find the GPA:

Therefore, the mean GPA is greater than 2.75.

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Answer:

49,2

Step-by-step explanation:

i dont practice math in english so the variables might be a little different!! The little L with the squiggly is supposed to represent length

The length of the painting is 77 cm if the area of the painting is 4081 sq cm and the width is 53 cm.

The area of a rectangle is the product of the length and width of the same rectangle.

Given that:

The area of the painting, A = 4081 cm².

The width of the painting, b = 53 cm.

To find the length of the painting, use the following formula to obtain the area of the rectangle:

Area = length × breadth

Let the length of the painting is l, then

A = l × b

4081 = l × 53

l = [tex]\frac{4081}{53}[/tex]

l = 77

Thus, the length of the painting is 77 cm.

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The system of inequalities represented on the graph is:

A linear function is modeled by:

y = mx + b

In which:

The linear function in this problem has y-intercept of b = 3, and also goes through the point (1,5), hence the slope is of 2. The line is dashed, hence it is not included in the solution, hence only the part greater than the line is, hence:

y > 2x + 3

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

In this graph, the vertex of the parabola is of (-1,-4), hence h = -1, k = -4, and the equation is:

y = a(x + 1)² - 4

When x = 0, y = -3, hence the leading coefficient is found as follows:

-3 = a - 4

a = 1.

Hence:

y = (x + 1)² - 4.

And the inequality is:

y > (x + 1)² - 4.

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Answer:

255,000,000m^2

Step-by-step explanation:

Let 5:12:17:25 be 5x, 12x, 17 x, 25x respectively

So

Perimeter of quadrilateral=5x+12x+17x+25x

590m=59x

590m/59=x

10m=x

So now value

5x= 5*10 =50

12x= 12*10 =120

17x= 17*10 =170

25x= 25*10 =250

Now

Area of quadrilateral=50m*120m* 170m* 250m

=255,000,000m^2

Step-by-step explanation:

if I understand you correctly the sides are in a

5 : 12 : 17 : 25 ratio.

a ratio is basically a fraction. but instead of the denominator telling us the structure of the whole (e.g. 2/5 tells us that the whole is split into 5 equal parts), a ratio tells us this by the sum of its elements :

5 : 12 : 17 : 25

means that the whole perimeter of the quadrilateral has

5 + 12 + 17 + 25 = 59 equal parts.

since the perimeter is 590 m, we know with 59 equal parts, that one part is 590/59 = 10 m.

so, the sides are

50 m, 120 m, 170 m, 250 m

but for the area of the quadrilateral there is at least the information of one angle missing.

to have just the 4 side lengths is not enough. these sides can still have all kinds of angles between them, which creates different areas.

Answer: 18

Step-by-step explanation:

4 I-2I + (8+2)=

4(2) + 8+2=

8+8+2=

18

The situation described by the distance from Town A is the first graph.

Given that cities A,B and C are on straight line.

We are required to find the graph appropriate the given situation.

Distance is basically the measurement of how far two things,places are located.It can be measurement from one point to another .

On the first hour,they leave town B to town C moving farther from Town A,hence the distance is increasing on the first hour.

On the second hour they stop for lunch,meaning that the distance remains constant at the point, it was at the end of the first hour.

Hence if towns A,B C lie on a straight line and Jack and Arthur start at town B and drive for an hour from Town B to Town C then the distance shown from Town A during these two hours is first graph.

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The minimum number of bricks Salah will have to buy is 4050 bricks

Given that the

So, the length of walkway plus garden, L = 40 ft + 18 ft = 58 ft. The width of walkway plus garden, W = 17 ft + 18 ft = 35 ft.

We now need to find the area of the walkway.

Area of walkway, A" = area of walkway plus garden - area of garden

= LW - lw

= 58 ft × 35 ft - 40 ft × 17 ft

= 2030 ft² - 680 ft²

= 1350 ft²

Now, since each brick is 6 inches wide and 8 inches long, the area of each brick is A' = 6 in × 8 in  = 48 in²

So, the number of bricks required, n = area of walkway/area of brick

= 1350 ft²/48 in²

= 1350 × 144 in²/48 in²

= 194400 in²/48 in²

= 4050 bricks

So, the minimum number of bricks Salah will have to buy is 4050 bricks

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Answer:  C

Step-by-step explanation: the other two options are both wrong, 0.13 is larger than 0.125 and she did order by volume per fish.

Answer:

a) 7000

b) 20000

c) 300000

Rounding is the act of replacing a number with values that are an approximation.

Basic rounding rules:

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 68 rounded to 1 significant figure would be 70.

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 13 rounded to 1 significant fugue is 10.

3. Zero digits that come after a non zero digit are non significant. Example: 10000 only has 1 significant figure

Calculations:

A) 78 x 92 = 7176

The answer for A is 7000

B) 615 x 38 = 23370

Answer for B is 20000

C) 423 x 764 = 323172

Answer for C is 300000