Why is y=mx+b the slope intercept form

Probability Theory

P (K) =[tex]\frac{n (K) }{n (S)}[/tex]

P(K) : probability of selected K

n (K) : number of occurence of K

n (S) : number of all occurence

In question is not contain information about the number of students who curry a gun, knife, or other weapon and the number of all students. so, we can desribe that :

n (A) : the number of occurence of students who curry a gun

n (B) : the number of occurence of students who curry a knife

n (C) : the number of occurence of students who curry other weapon

and the number of all students is n ( A U B U C) -> union of sets

how many randomly selected student? in question, there is no specific about the student. so, we can answer with :

1) probability of students who curry a gun

P (A) = [tex]\frac{n (A) }{n (AUBUC)}[/tex]

2) probability of students who curry a knife

P (B) = [tex]\frac{n (B) }{n (AUBUC)}[/tex]

3) probability of students who curry other weapon

P (C) = [tex]\frac{n (C) }{n (AUBUC)}[/tex]

and if question want to estimate with percentage, we can multiply with 100%. example :

1) percentage of probability of students who curry a gun

P (A) = [tex]\frac{n (A) }{n (AUBUC)}[/tex] x 100%

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The Perimeter of the Rectangle is 144cm;

What is the Perimeter of a Rectangle?

The sum of a rectangle's boundary lengths on all sides is known as its perimeter. A rectangle's perimeter is a linear measurement that can be expressed in meters, feet, inches, or yards. Let's first comprehend the two fundamental characteristics of a rectangle.

A rectangle has four 90° angles.

The lengths of a rectangle's diagonals are equal. Rectangle perimeter is calculated using the formula perimeter of a rectangle = 2(l + w), where l is the rectangle's length and w is its width.

According to the question

Let the length of the rectangle be x cm;

So, The breadth of the rectangle will be:  (x+2) cm;

And, we have the diagonal = 52 cm;

So,

we can use the Pythagoras triangle to find the value of x cm;

⇒[tex]x^{2} + (x+2)^{2} = (52)^{2}[/tex]

⇒[tex]2x^{2} +4+4x = 2704;\\[/tex]

⇒[tex]2x^{2} +4x = 2700[/tex]

⇒[tex]2x^{2} +4x - 2700 =0;[/tex]

By solving the above equation, we get:

x = 35 cm;

So, the length of the rectangle = is 35 cm;

Breadth of the rectangle = 37 cm;

and
Perimeter of the Rectangle = 2(35 + 37) cm;

The perimeter of the Rectangle = = 144 cm;

Hence,

The perimeter of the Rectangle = = 144 cm;

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Using the z test the value of z is -0.9404 and  the value of z the research team should 0 - retain the null hypothesis.

In the given question,

They randomly selects a sample of 12 people, and with their permission, provides them a treatment.

So n = 12

The mean for their sample is 99.

x = 99

The mean for the population is 102.

μ=102

A standard deviation of 11.

σ = 11

Test statistic z:

z = (x-μ)/σ /√n

Now putting the value

z = 99-102/11/√12

z=-3/11/3.45

z=-3/3.19

z= -0.9404

Test statistic z = -0.9404

From the value of z the research team should 0 - retain the null hypothesis.

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Answer:

=================

The slope- intercept form:

Use two points on the graph to find the slope:

Find the slope:

The y-intercept is b = - 4.

The equation is:

According to the the concept of hypothesis testing, there is no evidence that the proportion of Americans who are afraid to fly has decreased.

Hypothesis testing:

Basically, in math hypothesis, it test the population on the basis of the sample data taken from the population using a simple random sampling.

Given,

According to a study conducted by an​ organization, the proportion of Americans who were afraid to fly in 2006 was 0. 10. A random sample of 1300  Americans results in 117 indicating that they are afraid to fly.

Now, we need to explain why this is not necessarily evidence that the proportion of Americans who are afraid to fly has.

While we looking into the given question,

Sample size, n = 1300

Number of Americans who were afraid to fly, x = 117

Now, we have to computing the sample proportion of Americans who afraid to fly,

Therefore, p = 117 / 1300 = 0.09

Then the Formulation of Hypotheses is written as,

Here the Null Hypothesis: H0: p≥0.10

And the alternative Hypothesis: Ha: p<0.10

Then the Left-tailed test of Test statistic is written as,

Here Let us assume that the level of significance, α = 0.05.

Then the Critical value, z≈−1.645

And the Decision rule is written as

If the value of  |z|<|z0.05|≈1.645: Do not reject the null hypothesis.

Otherwise If value of  |z|≥|z0.05|≈1.645: Reject the null hypothesis.

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For the given data, 1 free download song and cost of each additional download song is $0.59 ,then total downloaded songs in $15.34 including  28 free songs is equal to 54 songs.

As given in the question,

Total free download songs is equal to 28

Let us consider variable 'x' to represent  the number of downloaded songs at the rate of $0.59

Total monthly bill of downloaded songs = $15.34

Equation formed :

0.59x = $15.34

⇒ x = 15.34 / 0.59

⇒ x = 26 songs

Total number of downloaded songs including 28 free songs

= 26 + 28

= 54 songs

Therefore, for the given data, 1 free download song and cost of each additional download song is $0.59 ,then total downloaded songs in $15.34 including  28 free songs is equal to 54 songs.

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Answer:

11r+2

Step-by-step explanation:

combine the two numbers with the same variable and then leave the 2 by itself, that would be 4r+7r=11r and then bring the 2 down that makes 11r+2

Answer:

Step-by-step explanation:

3 * 4 = 12 3 * 5 = 15 List of the First 5 Multiples of 3: 3, 6, 9, 12, 15 Notes: The listed multiples are the First 5 Multiples of 3 that are positive (greater than 0) The sum of the digits in Multiples of 3 are divisible by 3

The starting term of the function  f(x) = 300 (1.16)^x is 300

This is a type of function that are of 3 main parts

Considering the given problem,  f(x) = 300(1.16)^x

the starting = 300

the base = 1.16

the exponents = x

A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decay or exponential growth, and so forth.

The base is what determines exponential growth or decay

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The length and the width of the rectangle are 61 inches and 19 inches, respectively

The mathematical statement from the question is given as

Length of a rectangle is four more than triple its width.

Mathematically, this can be represented as

Length = 3Width + 4

The perimeter is given as

Perimeter = 160 meters

The perimeter is calculated as

Perimeter = 2 x (Length + Width)

So, we have

2 x (3Width + 4 + Width) = 160

Divide by 2

3Width + 4 + Width = 80

This gives

4Width= 76

Divide by 4

Width = 19

Recall that

Length = 3Width + 4

So, we have

Length =  3 * 19 + 4

Evaluate

Length =  61

Hence, the dimensions are 61 inches by 19 inches

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Answer:

22x + 20

Step-by-step explanation:

= (5)(3x) + (5)(4) + 7x

= 15x + 20 + 7x

= 15x + 20 + 7x

= (15x + 7x) + (20)

= 22x + 20

Answer:

22x +20

Step-by-step explanation:

5(3x + 4) + 7x

5 x 3x + 5 x 4 +7x

15x + 5 x 4 + 7x

15x + 20 + 7x

22x + 20

If Mr. Fitch applies for the 5-year loan, the amount  he will pay in interest  with the 3-year loan is: $565.24.

First step is to find the cost of replacement left

Cost of replacement  = $4,348 x 6.5%

Cost of replacement =$282.62

Second step is to calculate the amount of  5-year loan

Loan = $282.62 x 5

Loan = $1413.1

Third step is to calculate the amount of the 3-years loan

Loan = $282.62 x 3

Loan = $847.86

Now let find the amount he will pay in interest with the 3-year loan

Amount = $1,413.1- $847.86

Amount =$565.24

Therefore the interest amount is $565.24.

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Answer:

False

Step-by-step explanation:

The numerical coefficient is 14, not 4.

Answer:

it's False

Step-by-step explanation:

Trust me IT worth it

Answer:

B, or y - 1 = 1/2(x + 2)

Step-by-step explanation:

when you solve B, you get y = 1/2x + 2, which is the equation being shown on the graph.

Answer:

the number is 24 good luck :)

Answer:

24

Step-by-step explanation:

1) Break down the question

We are told that a number increased by 6 is 30 meaning a number added to 6 will get 30.

2) Work you way backwards to get your answer

To find the answer to this question we have to subtract 30 from 6.

This is because we are told that a number is added to get 30 so we should subtract to find our number!

3) Check you answer

Every question that you may be unsure of or had been struggling with should always be checked.

To check our answer we have to go backwards and see if the numbers match

As we can see the numbers match together and are correct in our equation

Hope this helps, have a great day!

Answer:

Step-by-step explanation:

Angles f and g are congruent as opposite sides are congruent. Therefore:

Angles h, 76°, g and the right angle all together form 360°:

Answer:

The area of the circle would be 113.04

Step-by-step explanation:

If you plug the radius into the formula for finding the area of a circle (π·r²), or (3.14 · r²) then you'll get 113.04

Hope this helps! :D

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Given f(x)=2−∣x−5∣

Domain of f(x) is defined for all real values of x.

Since, ∣x−5∣≥0⟹−∣x−5∣≤0

⟹2−∣x−5∣≤2⟹f(x)≤2

Hence, range of f(x) is (−∞,2].

Answer:

Step-by-step explanation:

Which one adds up to 14 is the question?  There are dots on the dice which correspond to numbers. The dots are saying that they are numbers. And if you get to 14 with the dices, you pick it.

The Answer is : 64

I took the test and it showed this is the correct answer, hope this helped :)

We have that the data is: (x₁ =–9.3, y₁=3) and (x₂=– 9.3, y₂=–7.5). The formula to calculate two distance between two points is:

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d[A,B]=\sqrt{(x_1-x_2)^2+(y_1-Y_2)^2 } } \end{gathered}$}}[/tex]

When we calculate the distance between two points, we solve what goes inside the parentheses, then it is calculated to the power of 2, and we continue adding the two numbers of the previous results, and finally the square root is calculated.

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d[A,B]=\sqrt{(-9.3-(-9.3))^2+(-7.5-3)^2 } } \end{gathered}$}}[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d[A,B]=\sqrt{(0)^2+(-10.5)^2 } } \end{gathered}$}}[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d[A,B]=\sqrt{0+110.25 } } \end{gathered}$}}[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d[A,B]=\sqrt{110.25 } } \end{gathered}$}}[/tex]

[tex]\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d[A,B]=10.5 } \end{gathered}$}}}[/tex]

Answer:

Step-by-step explanation:-b± √b²-4ac. X =

Answer:$26

Step-by-step explanation:

52+22=74

100-74=26

Answer:

c=40n+10

Step-by-step explanation:

They charge 40$ per night from which we get 40n

The extra 10$ is from the bathing fee

The rest of the information they give us isn't useful in this case because they didn't ask us the cost per hour

Answer:

Hence, the value of y = b^2 = (-3/2)^2 = 9/4 is your answer

Step-by-step explanation:

only if your answers are
A) 3/2

B) 9/4

C) 6

D) 9

The range of the given function, using it's concept, is given by the following option.

y≤3: y is less than or equal to 3.

The range of a function is the set that is composed by all the output values on a function.

Om the graph of a function, we have that:

Hence from the graph, the range of the function is given by the values of y of the function.

From the graph of the function given at the end of the answer, the function assumes values of 3 and greater, hence the first option is the correct option giving the range of the function.

The function is given by the image presented at the end of the answer.

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0.015 the radius of the balloon changing at the instant the radius is 50cm  

given that

a spherical balloon is inflated with gas at a rate of 500 cubic centimeters per minute

radius = 50 centimeters

now we need to find the volume of the balloon

Let V  = volume of the balloon at time t

    r = radius of the balloon at time t

   V = (4/3)πr3

  Given:  dV/dt = 500  

   Find:  dr/dt when r = 50

   dV/dt = (4/3)(3πr^2)(dr/dt)

   500 = 4π(50)^2(dr/dt)  

   dr/dt = 1/(20π)

   dr/dt = 0.015 cm/min

  0.015 the radius of the balloon changing at the instant the radius is   50cm  

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list <- value, value, value, value

x<-value

FOR EACH item IN the list

{

             IF item=x

                display "found"

}

Pseudocode is an informal manner of programming description that does not require any strict programming language syntax or underlying era concerns. it is used for growing an outline or a rough draft of a program. Pseudocode summarizes an application's flow but excludes underlying info.

Pseudocode is a synthetic and casual language that facilitates programmers' to increase algorithms. Pseudocode is a "text-primarily based totally" element (algorithmic) layout device. The policies of Pseudocode are fairly straightforward. All statements showing "dependency" are to be indented. the Python pseudocode is a syntax-loose representation of code. So, the Python pseudocode no longer involves any code in it. The Python pseudocode should be a very near illustration of algorithmic good judgment.

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Students taking both honors courses and prefer basketball to football is 450.

Total number of students at a high school = 6000

Number of students who has taken honors courses = 1500

Number of students who prefer watching basketball to football = 1800

Let event of taking honors courses be A

and event of preferring watching basketball be B

P(A) = 1500 / 6000 = 0.25

P(B) = 1800 / 6000 = 0.3

If both the event of taking honors courses and preferring watching basketball is independent then

By using property of independent events ,

P(A∩B) = P(A) . P(B)

= (0.25)(0.3) = 0.075

Number of students taking both honors courses and prefer basketball to football = 0.075 × 6000

= 450 Students

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