Which of the following rational functions is graphed below?

The null hypothesis is rejected if the p-value is lower than or equal to the chosen significance threshold; otherwise, it is not. To put it another way, if p, reject  [tex]H_{0}[/tex]; if p>, do not reject [tex]H_{0}[/tex].

This criterion, known as (alpha) in null hypothesis testing, is often set to 05. The rejection of the null hypothesis is if there is less than a 5% probability that a result as dramatic as the sample result would occur if the null hypothesis is accepted. The outcome is referred to as statistically significant when this occurs.

If a statistical test is run with a threshold of significance = 0.1, 0.05, and 0.01 the null hypothesis was rejected.

The alternative hypothesis is taken into consideration instead of the null hypothesis if the P value is less than alpha, the predetermined level of statistical significance.

Learn more about the null hypothesis at

https://brainly.com/question/16945299?referrer=searchResults

#SPJ4

The coupon that gives the lower price, based on the percentage discounts is Coupon B.

To find the coupon that gives the lower price, apply the coupons to the price of the bicycle to see which value would be less after the coupon is applied.

Coupon A value after discount is:

= 81 x ( 1 - discount)

= 81 x ( 1 - 20%)

= $64.80

Coupon B value after discount is:

= 81 - 19

= $62

The coupon that gives the lower price is Coupon B.

Find out more on coupon discounts at https://brainly.com/question/28176129

#SPJ1

The error was made in the Step 1 as Distributive property of multiplication was not used correctly  .

In the question ,

it is given that

the equation is 2x -(1/4)(12x+4)= 3

Step 1 : by using the distributive property of multiplication ,

we get

2x - (1/4)*12x -(1/4)*4 = 3

2x - 3x - 1 = 3

So , after the first step the equation should be 2x - 3x - 1 = 3

we see that the  Distributive property of multiplication , was not used properly as the negative sign was not distributed to both the terms .

So ,  Step 1 is wrong.

Step 2 : Adding like terms

we get ,

-x - 1 = 3

Step 3 : Adding 1 to both the sides ,

we get

-x - 1 [tex]+[/tex] 1 = 3 + 1

Step 4:

-x = 4

x = -4

Therefore ,The error was made in the Step 1 as Distributive property of multiplication was not used correctly  .

The given question is incomplete , the complete question is

An equation and the steps to solve it are shown below:

2x -(1/4)(12x+4)= 3

Step 1: 2x + 3x + 1 = 3

Step 2: 5x+1=3

Step 3: 5x+1-1=3-1

Step 4: 5x = 2

In which step was the error made and why?

Learn more about Equations here

https://brainly.com/question/1511007

#SPJ1

Step-by-step explanation:

Answer: 9.090909090909091

Step-by-step explanation: Knowing this we can solve. We have 7 pounds, and there are 16oz in 1 pound so we multiply the number of pounds by the number of ounces in 1 pound. 7 x 16 = 112 ounces. So there are 112oz total, which costs $12.32. Now we divide $12.32 by 112oz to find the price per ounce which would be roughly 9.09

The density of this sand is 1600 kg/m³.

What is the meaning of density?

The amount of something per unit of length, area, or volume: as. : the substance's mass per unit volume. In grams per cubic centimeter, density.

Given that the dimension of a cuboid is length 45 cm, width 30 cm and height 42 cm.

The volume of the cuboid is (45 × 30 × 42) cm³

                                              = 56,700 cm³

                                              = (56,700/100³) m³

                                              = 0.0567 m³

The mass of the sand is 90.72 kg.

The density of the sand is

= mass /volume

=90.72 kg / 0.0567 m³

= 1600 kg/m³

To learn more about density, click on below link:

https://brainly.com/question/6329108

#SPJ1

Answer:

82 and 2/4 (if it was 30 days)

Step-by-step explanation:

you turn the fraction into a decimal and multiply it by the certain number of what you need to figure out.

Answer:

120

Step-by-step explanation:

Answer: 37%

Step-by-step explanation:

36.9 rounds up into 37%

Since the physics books must be together and the mathematics books must be together, There are 1728 ways to arrange the books.

The basic counting principle is a method for keeping track of all the potential outcomes in a situation. According to this statement, there are n m n times m n ways to carry out both of these actions if there are n ways to perform one action and m ways to perform another action after that. How selection is made based on options is determined by the Fundamental Principle of Counting. The approach of selection, taking into account all of the potential options and their combinations for calculating the probability, is made simpler by the Fundamental Principle of Counting.

Here,

There are 3 book,

3!=6

3 different mathematics books,

3!=6

4 different physics books,

4!=24

2 psychology books

2!=2

by fundamental counting principle,

6*6*24*2=1728

There are 1728 different ways to arrange the books because the mathematics and physics books must be together.

To know more about fundamental counting principle,

https://brainly.com/question/28384306?referrer=searchResults

#SPJ4

Answer:

first angle =35

second angle=63

third angle=82

x=12in

Slope of ramp= SecФ =5/3

Let the height of first point be H1

Let the height of second point be H2

Then, H1=27in (Provided in the question)

         H2=12in (Provided in the question)

The base of the right angled triangle then = H1-H2

Let the perpendicular be denoted as p

Let the base be denoted as b

Let the hypotenuse be denoted as h

then, b=H1-H2

b=27-12

b=15

The Formula of SecФ=1/CosФ

Since, CosФ= Base/Hypotenuse

SecФ=/Hypotenuse/Base

SecФ= h/b

SecФ= 5/3 (Provided in the question)

then,

5/3=15/b

cross multiplying

5b=15x3

b=15x3/5

cancelling out 15 by 5

b=3x3

b=9

From Pythagoras theorem

[tex]h^{2}[/tex]=[tex]p^{2}[/tex]+ [tex]b^{2}[/tex]

putting values in the equation above:

[tex]15^{2}[/tex]=[tex]p^{2}[/tex] +[tex]9^{2}[/tex]

15x15=[tex]p^{2}[/tex]+81

225-81=[tex]p^{2}[/tex]

[tex]\sqrt{225-81}[/tex]=p

[tex]\sqrt{144}[/tex]=p

12=p

Since slope of ramp is equivalent to angle of depression

thus, p=x

x=12in

Learn more about Pythagoras Theorem at:

brainly.com/question/27949159

#SPJ4

The function g(x) is a horizontal dilation of scale factor k = 5/2 of function f(x).

We know that f(x) is a linear function:

f(x) = 2x + 4

Here we know that:

g(x) = 2*(0.4x) + 4

Notice that function g(x) can be written as:

g(x) = f(0.4*x)

So we have a horizontal dilation, remember a horizontal dilation of scale factor k can be written as:

g(x) =f(x/k)

Notice that 0.4 = 2/5

Then we have a horizontal dilation of scale factor 5/2.

Learn more about horizontal dilations:

https://brainly.com/question/3457976

#SPJ1

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality.Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality.

Therefore, let's examine the provided graph first in order to locate the solution.We can see that 1 batch of cookies need 2 cups of flour

This provides us with a ratio of 2:1.

Constant proportionality is the ratio of two proportional quantities having a constant value.

Since the batch of cookies grows by 1 for every 2 cups added, we have a constant proportionality of 2 cups.

3y=2x

Divide each term in 3y=2x

by 3

and simplify.

Tap for more steps...

y=2x3

Since the equation can be written in the form y=kx

, y varies directly with x and k. The constant of variation, k, is 23

23

To learn more about constant of proportionality refer

https://brainly.com/question/1835116

#SPJ1

The rate at which the water level is rising when the water level is 5 cm is;

dh/dt = 1.6 cm/s

Acc to our question-

Hence,The rate at which the water level is rising when the water level is 5 cm is; dh/dt = 1.6 cm/s

learn more about pyramid click here:

https://brainly.com/question/13697843

#SPJ4

The speed of each train is 125kph and 145kph.

Here it is given that the distance between the two trains is 810 miles after traveling for 3 hours.

The difference in their speed is 20 kph.

Let x be the speed of one train. So by this, we get the speed of the second train that is x + 20.

Formula to calculate speed is:

Speed = Distance / Time

Distance = Speed × Time

Distance covered by first train = x × 3

Distance covered by second train = (x + 20) × 3

Total distance = 810

So we get;

3x + (x + 20)3 = 810

3x + 3x + 60 = 810

6x = 750

x = 125

x + 20 = 125 + 20 = 145

Therefore we get the speed of both trains which is 125kpp and 145 kph.

To know more about the speed of the train refer to the link given below:

https://brainly.com/question/10100093

#SPJ4

The license plate combinations with either three letters then three numbers or three numbers then three letters are 35152000.

The license plate combinations to be made are either three number followed by three letter or three letter followed by three number. we are here assuming that the repetition of the number and letter are allowed.

The number can be any three from 0-9. So, the total choices of number are 10.

The letter can be from A-Z. So, the total choices for letter are 26.

The total choices of the numbers possible are,

ΟΟΟ ΟΟΟ

1 2 3  4 5 6

The first three are the choices of letter and the last three are the choice of number. Two combinations are also possible by interchanging the position of the set of numbers and letters.

So, the possible combinations are,

2 x [26x26x26x10x10x10]

Hence,

The possible combinations for the license plate number are 35152000.

To know more about combinations, visit,

https://brainly.com/question/4658834

#SPJ4

The proportional relationship between the amount of peaches in pounds x and the cost of peaches in dollars y is given as follows:

y = 2.5x.

A direct proportional relationship is a special case of a linear function, with an intercept of zero, hence the output variable symbolized by y is given by the multiplication of the input variable symbolized by x and the constant of proportionality symbolized by k, as follows:

y = kx.

In this problem, we have to find the constant k taking a point of the graph.

The point taken is:

(2,5).

Meaning that when x = 2, y = 5.

Hence the constant is calculated as follows:

5 = 2k

k = 5/2

k = 2.5.

Then the equation is:

y = 2.5x.

More can be learned about proportional relationships at https://brainly.com/question/10424180

#SPJ1

The measure of the side MK of the triangle is 109.6.

The scale factor is defined as the proportion of the new image's size to that of the previous image. The ratio of the scale of an original object to a new object that is a representation of it but is a different size is known as a scale factor.

For the triangles, the scale factor will be calculated as,

Scale factor = 57 /13

The measure of the side MK will be calculated as,

57 / 13 = MK / 25

MK = ( 57 x 25 ) / 13

MK = 1425 / 13

MK = 109.61

Therefore, the measure of the side MK of the triangle is 109.6.

To know more about scale factors follow

https://brainly.com/question/25722260

#SPJ1

The equation of the parabola from the vertex is f(x) = 7(x - 3)² + 5

The equation of the function is given as

f(x) = 7x²

Also, we have

Vertex = (3, 5)

The form of the equation is given as

f(x) = a(x - h)² + k

Where

Vertex = (h, k)

This means that

Vertex = (h, k) = (3, 5)

Substitute (h, k) = (3, 5) in the equation f(x) = a(x - h)² + k

So, we have

f(x) = a(x - 3)² + 5

This also means that

f(x) = 7(x - 3)² + 5

The 7 is gotten from f(x) = 7x²

Hence, the equation of the parabola is f(x) = 7(x - 3)² + 5

Read more about parabola at

https://brainly.com/question/1480401

#SPJ1

The greater principal is there for Account A as $400.

Simple interest can be defined as a type of interest where the rate is applied on the same principal.

Given that,

The interest for Account A is $15.75 and Account B is  $28.

The total time for interest is 21 months.

Rate of interest for Account A is  3% and Account B is 4%.

Now, the time period can be written in years as,

21 months = 21 / 12 years

                  = 7 / 4

Suppose the principal for Account A and Account B is P₁ and P₂ respectively.

The formula for simple interest is given as,

(P × r × t) / 100

Substitute the respective values for both the accounts to get,

For Account A,

15.75 = (P × 3 × 7 / 4) / 100

⇒ P = (1575 × 4) / (3 × 7)

⇒ P = 300

For Account B,

28 = (P × 4 × 7 / 4) / 100

⇒ P = 2800 / 7

⇒ P = 400

Hence, Account B had greater principal.

To know more about simple interest click on,

https://brainly.com/question/25845758

#SPJ1

The coefficient of the third term in the given expression is -4

From the question, we are to determine the coefficient of the third term in the given expression.

A coefficient is the numerical value that is written along with a variable or it is multiplied by the variable.

The given expression is

5 – 2t3 – 4t3u3 + 8v

This can be properly written as

5 - 2t³ - 4t³u³ + 8v

The third term in this expression is - 4t³u³

In this term, the numerical value that is written along with the variable is -4

Hence, the coefficient is -4

Learn more on Determining the coefficient of a term here: https://brainly.com/question/16779778

#SPJ1

The half-life of this sample is 535.1 days.

Half-life is defined as the time it will took a substance to reduce to half of its initial amount. The half-life of a substance is determined with respect to the rate of the reaction. It can be calculated using the formula below.

N(t) = N₀(1/2)^(t/T)

where N(t) = amount of substance remaining after time t

N₀ = initial amount of substance

t = time

T = half-life

If a sample of a certain substance decayed to 67.8% of its original amount after 300 days, then N(300) = 0.678N₀.

Plug in the given values to the equation.

N(t) = N₀(1/2)^(t/T)

0.678N₀ = N₀(1/2)^(300/T)

0.678 = (1/2)^(300/T)

T = 535.1 days

Learn more about half-life here: brainly.com/question/3788119

#SPJ4

A graph of the given mathematical expression (x = -6) is shown in the image attached below.

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right and decreases in numerical value towards the left.

In this scenario, a number line would be used to graph the given mathematical expression because it only contains one (1) variable.

Read more on number line here: brainly.com/question/17325155

#SPJ1

Answer: I'm pretty sure this is the same question. https://brainly.com/question/16428516

The correct way to write 0.0000250 m in scientific notation is 2.5 · 10⁻⁵ m.

Scientific notation is a convenient way to write numbers that are very large or very small. A number written in scientific notation consists of a number greater than or equal to 1 but less than 10 multiplied by a power of 10. Here are some examples of numbers written in scientific notation:

Since you're given a number less than 1, move the decimal point to the right until you have a number between 1 and 10. Then, count the number of times you moved the decimal and write that as negative exponent over a base of 10. Finally, write out number multiplied by the power. You'll get 2.5 · 10⁻⁵ if you do those things correctly.

Learn more about scientific notation here: https://brainly.com/question/27862246

#SPJ4

Answer:

A. 2.50 Times. 10–5 m

Step-by-step explanation:

other one is wrong

Answer:

Answer:table B represents the linear equation which is:[tex]y=-3x+11[/tex]The graph of the linear function is also attached below.Step-by-step explanation:Given the table B values x

The value of g in the 20 sided regular polygon is 54.

If all the polygon sides and interior angles are equal, then they are known as regular polygons.

The polygon given is a 20 sided regular polygon and the measure of each angle is 3g degrees.

Therefore, let's find g.

The sum of interior angles of a 20 sided polygon is as follows:

180(n - 2) = 180(20 - 2) = 180(18) = 3240

Therefore,

each angle = 3240 / 20 = 162

Hence,

162 = 3g

g = 162 / 3

Therefore,

g = 54

learn more on regular polygon here: brainly.com/question/16992545

#SPJ1

The value of c is 20.35 (approx).

The Pythagorean Theorem states that the hypotenuse, or side opposite the right angle, of a right triangle, which is represented by the square, is equal to the sum of the squares on the legs of the triangle (or, in popular algebraic notation, a2 + b2 = c2).

The following are some significant applications of the Pythagorean theorem in daily life: used in architecture and building, used to determine the shortest distance in two-dimensional navigation. used to measure how steep a mountain's or hill's slope is.

Let the other 2 sides of the triangle be named a and b

Given:- a = 15.5ft

            b = 13.2ft

According to the Pythagorean Theorem, We know that

[tex]a^{2}+b^{2}=c^{2}[/tex]

By substituting the values of a and b we get

[tex]15.5^{2}+13.2^{2}=c^{2}[/tex]

[tex]c^{2}= 414.5\\c=\sqrt{414.5}\\ c=20.35[/tex]

c is the hypotenuse of the triangle.

Hence the value of c is 20.35

To learn more about Pythagorean Concept:-

https://brainly.com/question/343682

#SPJ13

A total of 30 golf balls are there in the bag that weighs 1110 grams.

A total of 69 golf balls weights 2553 grams in a bag.

It is asked that how much golf balls does make 1110 grams of weight.

Let us say that the weight of one ball is X.

So, Using unitary method,

We can write,

69 times mass of one golf ball = 2553 grams.

69X = 2553

X = 2553/69

X = 37 grams.

Hence, the weight of one ball is 37 grams.

Now, let us say that Y balls weights 1110 grams,

So, we can write,

Y time weight of one ball = 1110

37Y = 1110

Y = 1110/37

Y = 30.

Hence, 30 golf balls will weight 1110 grams.

To know more about unitary method, visit,

https://brainly.com/question/24587372

#SPJ4

Answer:

30

Step-by-step explanation: