Which of the following points lie on the line y = 2x - 3? (2, 3) (-2, -1) (4, 1) (0, -3)

The number of terms in the Arithmetic Progression is 20 if the sum is 990.

We should know that Arithmetic Progression is a type of sequence in which the difference between consecutive terms are derived from the addition or subtraction of a common tern known as the common difference (d).

The given parameters are

Sum of the Arithmetic Progression (n)=990

Common difference (d) =5

The common difference is derived as follows:

5*0+2=2

5*1+2=7

5*2+2=12

5*3+2=17

d=7-2=12-7=17-12=5

The formed AP is 2,7,12,17,.....

Using the formula

[tex]S_{n} =[/tex]n/2[{2a+(n-1)d}

Where:

Applying the formula

990=[tex]\frac{n}{2}[/tex][2*2(n-1)5]

1980=n[4+5n-5]

1980=4n+5n²-5n

Rearrange the equation

5n²-n-190=0

Solving the equation

[tex]n=\frac{-b \frac{+}{-}\sqrt{b^{2}-4ac } }{2a}[/tex]

Where

a=5

b=-1

c=-1980

Applying the formula

n=[tex]\frac{1+199}{10} or \frac{1-199}{10} \\[/tex]

200/10   or -198/10

n=20 or n=-19.8

Taking the positive value of n=20

There the number of terms in the AP is 20

In conclusion, the number of terms in the Arithmetic Progression is 20 if the sum is 990.

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The sample standard deviation of the 14 measurements is 3.93

The standard deviation = √(variance)

Standard deviation = σ = √[Σ(x - xbar)²/N]

x = each variable

xbar = mean

N = number of variables

For 12 variables,

N = 12

σ = 4.25

xbar = 38

Σ(x - xbar)² = sum of the square of all deviations; let it be equal to D

4.25 = √[Σ(x - xbar)²/12]

4.25 =√(D/12)

4.25² = D/12

D = 216.75.

For 14 measurements,

N = 14

The mean is going to still be 38, because the two new measurements are each 38.

xbar = 38

And the new additions to the sum of deviations, will be (38 - 38)² twice, that is, 0.

Standard deviation for 14 measurements

Standard deviation = σ = √[Σ(x - xbar)²/N]

σ = √(216.75/14) = 3.93

Therefore, the standard deviation is 3.93

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Disclaimer

The question given by you is incomplete, the solution provided is of a similar question, the question is

A sample of 12 measurements has a mean of 38 and a sample standard deviation of 4.25. Suppose that the sample is enlarged to 14 measurements, by including two additional measurements having a common value of 38 each. The sample standard deviation of the 14 measurements is:

In a technique called stub testing, the programmer simulates each program outcome or result and displays a message to indicate whether or not the program executed successfully.

Test stubs are programs that imitate the behaviors of software components that a module undergoing tests rely on in advanced polymorphism computer science. Test stubs react to calls with pre-programmed prefabricated responses; they typically don't respond at all to calls that aren't part of the test. A stub is a brief piece of code used in testing to replace another component. Using a stub has the advantage of returning consistent results, which makes the test easier to write. And tests can be performed even if the other components are not yet operational.

The programmer simulates each program outcome or result and displays a message to show whether or not the program executed successfully. This process is known as stub testing.

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Answer:Answer:

The value of f(6) is, 18

Step-by-step explanation:

Given the function:

              .....[1]

We have to find the value of.

Put x = 6 in [1] we have;

⇒

⇒

Simplify:

Therefore, the value of f(6) is, 18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

we fill in where x is and make it 6

And I will use pemdas

f(6)=6^2÷3+6

f(6)=36÷3+6

f(6)=12+6

f(6)=18

Hopes this helps please mark brainliest

Answer:

Step-by-step explanation:

1. 0

2. 3

3. 18

4. 33

5. 48

6. 198

The sets that represent the union and intersection of set F and set H will be (-∞, 4) ∪ [7, ∞) and the null set, respectively.

Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

The two sets are given below.

F = {v | v < 4}
H = {v | v ≥ 7}

The sets that represent the union of set F and set H will be given as,

F∪H = (-∞, 4) ∪ [7, ∞)

The sets that represent the intersection of set F and set H will be given as,

F∩H = {null}

The sets that represent the union and intersection of set F and set H will be (-∞, 4) ∪ [7, ∞) and the null set, respectively.

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Cooperation is enjoyed by all participants in a co-opetition system, the practice can aid companies in avoiding intense and demaging competition.

Cooperation is one of the key features of a co-opetition system. In this kind of system, the companies involved are engaged in a healthy competition.

It means that they are engaged in competition but on the other side of this coin there is always cooperation. And the word used to describe this kind of system, co-opetition, has been derived from the two words: cooperation and competition.

And the root words of the system clearly describe avoiding intense competition.

Hence, cooperation is enjoyed by all participants in a co-opetition system, the practice can aid companies in avoiding intense and demaging competition.

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Answer:

x =50

Explanation:

[tex]\frac{2}{100}[/tex] = [tex]\frac{1}{x}[/tex]

Cross multiply 100 and 1, which makes 100. Then cross divide 100 by two, which makes 50.

Then check if 2% of 50 is 1, which is true.

x = 50

Answer:

Explanation vvvvvv

Step-by-step explanation:

2.3

0.8+1.5 = 2.3

Also.. for 0.6, do you also find the sum or could you find the difference?

0.8-0.2 = 0.6

I will answer in comments if this isn't right.

Answer:

  a) 80

  b) -80

  c) -41

Step-by-step explanation:

For g = -4 and h = -5, you want the values of ...

To evaluate these expressions, put the value of the variable where the variable is, and do the arithmetic. A calculator can help.

  = 4(-4)(-5) = 80

  = (-4)²(-5) = -80

  = 5(-5) -(-4)² = -25 -16 = -41

Answer: 32%

Step-by-step explanation: add up the total and divide 16 by the total number of all people surveyed

Answer:  The correct answers are:

8) x=5/2 and y=0  

9) An infinite number of solutions

10) x=1/4 and y=-1/2

Step-by-step explanation:

QUESTION 8:

Rewrite equations

y+3y=0

2x-5=-y

2x+y=5

Solve for y

y+3y=0

4y=0

y=0

Substitute 0 for y in 2x+y=5

2x+0=5

2x=5

Divide both sides by 2

x=5/2

x=5/2 and y=0

QUESTION 9:

Rewrite equations

3x-y=5

y=3x-5

Linear equation

a1/a2 = b1/b2 = c1/c2

3/-3 = -1/1 = -5/5

-1 = -1 = -1

Answer: An infinite number of solutions

QUESTION 10:

Rewrite equations

2x+y=0

4x-2y=2

Substitute and Simplify

2(2x-y)=2⋅1

2x-y=1

Solve for y

2x+y=0

y=-2x

Substitute y=-2x in 2x-y=1

2x-1(-2x)=1

2x+2x=1

4x=1

x=1/4

Substitut3 1/4 for x:

y=-2x

y=-2(1/4)

y=-1/2

x=1/4 and y=-1/2

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The relation that represents a function is option 1 which is in the image attached below.

If a graph of a relation represents a function, every set of x-values that is plotted on the graph will each correspond to exactly one y-value, which implies that a function cannot have an x-value that has two corresponding y-values that are plotted against it.

In the image given, the first graph shows a relation whereby every x-value has only one possible y-value it corresponds to.

The other graphs have at least an x-value that has more than 2 corresponding y-values, therefore, the first graph is a relation that represents a function and it is given in the attachment below

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0>1,If a function f is constructed recursively, at least one of its values, f(x), must be defined in terms of f(y), where x>y.

Explanation:

0>1.

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The type of automobile insurance coverage that is needed in this problem is of:

Liability coverage.

The types of car insurance coverage are listed as follows:

In this problem, the situation is that Harold caused a collision that resulted in injuries to Tyler, who has to pay the ambulance/hospital bill.

This means that Harold is liable to the injuries caused to Tyler, meaning that he needs liability coverage to help pay the hospital/ambulance bill, as collision coverage and personal injury coverages are for the victim and not for the person that caused an accident.

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Answer:

x = 7

Step-by-step explanation:

8x - 6x = 2 + 12

2x = 14

2/2 x = 14/2

x = 7

Answer:

10.4 g/cm³

Step-by-step explanation:

Find the volume with formula, l x b x h

Then the formula gram / volume to find density.

to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{2}}} \implies \cfrac{ -3 }{ 1 } \implies \text{\LARGE - 3}[/tex]

The percent of the people had a mild that has an allergic reaction is 0.6%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Given that the company that makes haircare products had 2,000 people try a new shampoo. Of the 2,000 people, 12 had a mild allergic reaction.

It should be noted the percentage will be:

= Allergic people / Total people × 100

= 12/2000 × 100

= 0.6%

The percentage is 0.6%.

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Answer:

y = -8x + 3

Step-by-step explanation:

We are given that a line passes through the point (-0.5,7), and is parallel to y = -8x - 2

We want to write the equation of this line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name.

Parallel lines have the same slopes.

Therefore, we can start by finding the slope of y = -8x - 2.

It is also written in slope-intercept form. -8 is where m (slope) should be; therefore, the slope of the line is -8.

We can plug in -8 for m in y=mx+b.

y = -8x + b

Now we need to find b.
As the equation passes through the point (-0.5,7), we can use its values to help solve for b.

Substitute -0.5 as x and 7 as y.

7 = -8(-0.5) + b

Multiply

7 = 4 + b

Subtract 4 from both sides

3 = b

Substitute 3 as b in the equation.

y = -8x + 3

Topic: parallel and perpendicular lines

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Although horror book sales appear to be only 50% of fantasy sales, but they are actually only about 8% smaller, that is, option a.

Here, we are given a graph as shown in the figure below.

Just by looking at the graph it appears that that horror books are 50% of fantasy book sales.

From the graph we have the following data-

Number of horror books sold = 55

Number of fantasy books sold = 60

Number of extra fantasy books than horror books = 60 - 55

= 5

Thus, in percentage terms horror books will be - (5/60) % smaller than fantasy books

= 8.33%

Therefore, although horror book sales appear to be only 50% of fantasy sales, but they are actually only about 8% smaller, that is, option a.

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Your question was incomplete. Check for the missing graph below.

Answer:

3k/2 - k+3/3=8- k+2/4

(3k/2)x3 - (k+3/3)x2=(8)x4 - k+2/4

9k-2k-6/6 = 32-k-2/4

7k-6/6 = 30-k/4

(7k-6)x4 = (30-k)x6

28k - 24 = 180 - 6k

34k = 204

k = 204/34

k=6

Step-by-step explanation:

First, you multiply both sides by the numbers there to both the numerator and denominator, to get the same denominator. Then, simplify the answers in the second step. Next, cross multiply by multiplying the numerator of the left side to the denominator of the right side; and multiplying the numerator of the right side of the denominator of the left side. When you reach the fifth step, move -6k to the left side it will turn to +6k and add with 28k to get 34k. Move -24 to the right side it will turn +24 and add with 180 to get 204. Lastly, divide 204 by 34 to get k = 6.

The median element of a dataset is the middle element of the dataset.

There are 3 runs above and below the sample median

What is the median of a data set ?

The median of a data set is the value that falls in the middle, indicating that 50% of the data points have values that are lower or equal to the median and 50% of the data points have values that are higher or equal to the median. When working with a small data collection, you must first count the number of data points (n) and organize them in ascending order.

The information is given as:

Observations  1      2       3      4     5     6

Defects           10     18    13    15     9     12

In ascending order, the information is represented as:

Defects           9   10   12   13   15   18

Observations  5    1     6    3     4    2

The total number of observations is:

n=5+1+6+3+4+2 = 21

The median element is calculated as:

Median = (n+1)/2 th

Substitute 21 for n

Median = (21+1)/2 th

Median = 11th

The 11th element is 12.

So, the median is:

median = 12

Considering the given information;

Observations  1      2       3      4     5     6

Defects           10     18    13    15     9     12

The defects greater than the median (i.e. 12) are above (A) the median, while the defects less than the median are below (B)

So, we have:

Observations  1      2       3      4     5     6

Defects           10     18    13    15     9     12

Status               B     A       A     A    B      -

Next, we take a count of the number of times the status changes, i.e. from B to A, from A to B, from A or B to -

The count is 3.

Hence, there are 3 runs above and below the sample median

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The distance between the two points (5,5) and(-1,-3) is 10 from the distance formula.

Given that,

The points area (5,5) and (-1,-3)

We have to find the distance between the two points.

We know that,

The distance between two points is the length of the line segment spanning those two points on the plane.

d=√((x₂ - x₁)² + (y₂ - y₁)²) is a common formula to calculate the distance between two points.

Any two points on an x-y plane or coordinate plane can have their separation between them determined using this equation.

We get,

(5,5) and (-1,-3)

Distance= [tex]\sqrt{(-1-5)^{2}+(-3-5)^{2} }[/tex]

Distance= √(-6)²+((-8)²

Distance= √36+64

Distance= √100

Distance =10

Therefore, The distance between the two points (5,5) and(-1,-3) is 10 from the distance formula.

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Para calcular la tasa de inflación, debemos seguir una serie de pasos.

Para ello, hemos propuesto un ejemplo en el que, paso a paso, calcularemos para un caso real la tasa de inflación.

Imaginemos que hacemos un listado de las compras realizadas en un año determinado, el cual tomamos como base. Esta compra incluye, a la hora de elaborar un listado, una serie de productos, todos ellos con sus respectivos precios. Productos que, en este caso, son barras de pan, cafés, servicios de taxi y un pantalón de vestir.

En primer lugar, lo que debemos hacer es calcular el gasto de cada producto, para ello, multiplicando las cantidades de cada producto o servicio adquiridas, por el precio que se pagó por cada una de ellas, así como por los servicios.

En este caso, sería lo siguiente:

Barras de pan: 1,50€ x 150 = 225€.

Cafés: 2,40€ x 100 = 240 €.

Taxi: 5€ x 40 = 200€.

Pantalón: 120€.                    

espero haberte ayudado

1. The skew segment to line AB is of: GF.

2. The parallel segment to line AD is of: EH.

3. The plane parallel to plane DCH is of: ABF.

4. The plane that is not parallel to plane EFG is of: EFB.

Skew lines are lines that share these two features:

Hence the skew line to line AB is of:

Line GF.

Parallel lines are planes are defined as lines or planes that never intersect as they have the same orientation and inclination, hence:

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The Value of probability for the distribution is 0.24 and -0.29

Probability distribution is a statistical function that describes all the possible values and probabilities for a random variable within a given range

F(x) = P(X ≤ x) = P(a < X ≤ b) = f(b) - f(a)

The Probability Distribution is given

(1) By looking at the table ,

Value P(x = 0 ) at x =0 is 0.24

Hence , P(x=0) = 0.24

Option b is correct

(2) P(-10 ≤x ≤ 15) = P(x = 15) - P(x = -10)

By using the table ,

=> 0.05 - 0.34

=> -0.29

Option c is correct.

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Answer:9x-3=8

Step-by-step explanation:

3 less means minus 3 from a number

product of 9 and a number is 9 times x

9x-3=8

is eight means = sign

Answer: -1.34328358

Step-by-step-explanation;

3(7/5x + 4) - 2(3/2-5/4x) = 0

3·(7/5·x + 4) - 2·(3/2-5/4·x) = 0

134x = -180

x = -180/134 = -1.34328358

Answer:  The correct answer is x=(-pt+ty)/w

Step-by-step explanation:

Solve the equation for x:

y=xw/t+p

Step 1: Multiply both sides by t:

ty=pt+wx

Step 2: Flip the equation:

pt+wx=ty

Step 3: Add -pt to both sides:

pt+wx+−pt=ty+−pt

wx=−pt+ty

Step 4: Divide both sides by w.

wx/w=(−pt+ty)/w

x=(−pt+ty)/w

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Answer:

[tex]\huge\boxed{\sf x=\frac{ty-tp}{w} }[/tex]

Step-by-step explanation:

[tex]\displaystyle y=\frac{xw}{t} +p\\\\Subtract \ p \ to \ both \ sides\\\\y-p=\frac{xw}{t} \\\\Multiply \ t \ to \ both \ sides\\\\t(y-p)=xw\\\\ty-tp=xw\\\\Divide \ w \ to \ both \ sides\\\\\frac{ty-tp}{w} =x\\\\x=\frac{ty-tp}{w} \\\\\rule[225]{225}{2}[/tex]