what is statistical procedure that would be used when researchers do not propose a formal hypothesis, but instead use the procedure to broadly identify underlying components?

1)13/4: Rational (a fraction)

2)√17: Irrational (square root of a non-perfect square)

3)3π: Irrational (product of a rational number and an irrational number)

4)0.1 (1 bar): Rational (repeating decimal)

5)-√2: Irrational (negative square root of a non-perfect square)

6)√24: Irrational (square root of a non-perfect square)

7) -√49: Rational (negative square root of a perfect square)

1)13/4: Rational - This number is a fraction, and any number that can be expressed as a fraction is considered rational. In this case, 13/4 can be simplified to 3.25, which is a rational number.

2)√17: Irrational - The square root of 17 cannot be expressed as a simple fraction or terminating decimal. It is an irrational number, meaning it cannot be expressed as a ratio of two integers.

3)3π: Irrational - π (pi) is an irrational number, and when multiplied by a rational number like 3, the result is still an irrational number. Therefore, 3π is an irrational number.

4)0.1 (1 bar): Rational - This number is a repeating decimal, indicated by the bar over the 1. Although it does not have a finite representation, it can be expressed as the fraction 1/9, which makes it rational.

5)-√2: Irrational - Similar to √17, the square root of 2 is also an irrational number. Multiplying it by -1 does not change its nature, so -√2 remains an irrational number.

6)√24: Irrational - The square root of 24 is an irrational number because it cannot be expressed as a simple fraction or terminating decimal. It can be simplified to √(4 × 6), which further simplifies to 2√6, where √6 is an irrational number.

7)-√49: Rational - The square root of 49 is 7, which is a rational number. Multiplying it by -1 does not change its nature, so -√49 remains a rational number.

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The complete question is :

Select whether the following numbers are rational or irrational.

1. 13/4

2. \sqrt{17}

3. 3 π

4. 0.1 (1 bar)

5. - \sqrt{2}

6. \sqrt{24}

7. - \sqrt{49

Answer:

sinx=cosy

sinx=sin(90−y)

x=90−y

x+y=90

Step-by-step explanation:

Answer: D; undefined

Step-by-step explanation: Slopes are represented by \(y2-y1/x2-x1\) Since both the x-values are the same, they end up creating a 0 in the denominator which leads to an undefined function.

The number of horizontal asymptotes that a function can have depends on its behavior as x approaches positive or negative infinity.

a) If the function approaches a specific value or constant as x approaches positive or negative infinity, it can have 0 horizontal asymptotes.

b) If the function approaches the same value or constant as x approaches positive or negative infinity, it can have 1 horizontal asymptote.

c) If the function approaches different values or constants as x approaches positive or negative infinity, it can have 2 horizontal asymptotes.

d) It is not possible for a function to have exactly 3 horizontal asymptotes. Asymptotes come in pairs, so the number of horizontal asymptotes can be 0, 1, 2, or 4.

e) It is not possible for a function to have exactly 4 horizontal asymptotes. Asymptotes come in pairs, so the number of horizontal asymptotes can be 0, 1, 2, or 3.

the correct options are:

a) 0

b) 1

c) 2

d) 3

e) 4

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you can use the formula for the volume of a rectangular prism to solve for one of the dimensions of the prism (either the length, width, or height).

What is a rectangular prism?

A rectangular prism is a three-dimensional shape with six rectangular faces. It is also known as a box or a cuboid. A rectangular prism has three dimensions: length, width, and height.

To find the base area of a rectangular prism when given the volume, you can use the formula for the volume of a rectangular prism and the formula for the base area of a pyramid.

The volume of a rectangular prism is given by the formula V = lwh,

where V is the volume, l is the length, w is the width, and h is the height.

The base area of a pyramid is given by the formula B = A/h,

where B is the base area, A is the total surface area of the pyramid, and h is the height of the pyramid.

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Answer:

Time 10 = $40 Savings

Time 15 = $60 Savings

Time 25 = $100 Savings

Step-by-step explanation:

Answer:

10/40 ,15/60 ,25/100

Step-by-step explanation:

Answer:

Tn = -n^2 - n + 21 is the formula for the nth term.

Step-by-step explanation:

The second differences are all equal in this quadratic sequence.

Now, the quadratic sequence has a formula of Tn = an^2 + bn + c

Find the value of a in an^2 by dividing the difference by 2:

-2/2 = -1

a = -1

Since T1 is 19 and T2 is 15 we can put that into the equation and simplify:

b + c = 20

2b +  c = 19

Thus, b = -1 , c = 19 and the general formula for the nth term is Tn = -n^2 - n + 21

Answer:

Tn = -n^2 - n + 21

Answer:

C) cos A = 15/17

cos A = adjacent/hypotenuse = 15/17

What is trigonometric ratio for right angle triangle?

The trigonometric ratios for a right angle triangle are sine, cosine, and tangent. The sine of an angle is the ratio of the length of the side opposite the angle to the length of the hypotenuse. The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. The tangent of an angle is the ratio of the length of the side opposite the angle to the length of the adjacent side.

The following are the trigonometric ratios of a right angle triangle:

Sine (sin): Opposite Side/Hypotenuse

Cosine (cos): Adjacent Side/Hypotenuse

Tangent (tan): Opposite Side/Adjacent Side

Cosecant (csc): Hypotenuse/Opposite Side

Secant (sec): Hypotenuse/Adjacent Side

Cotangent (cot): Adjacent Side/Opposite Side

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Floc is composed primarily of Bacteria, Protozoa, Microscopic Animals, & Fungi.

In the activated sludge process, floc refers to the agglomeration of microorganisms, including bacteria, protozoa, microscopic animals (such as rotifers and nematodes), and fungi. These microorganisms play a crucial role in the biological treatment of wastewater.

The activated sludge process involves the aeration of wastewater in the presence of a mixed microbial culture. The microorganisms in the activated sludge feed on organic matter present in the wastewater, breaking it down into simpler substances.

As they metabolize the organic matter, they form floc, which consists of a network of microorganisms and their byproducts.

The floc has several important functions in the settling process. It helps to trap and absorb suspended solids, colloidal particles, and other impurities present in the wastewater. The floc particles then settle to the bottom of the treatment tank during the sedimentation process, allowing for the separation of treated water from the solids.

Therefore, the composition of floc in the activated sludge process primarily consists of bacteria, protozoa, microscopic animals, and fungi, which work together to facilitate the efficient removal of organic matter and pollutants from wastewater.

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Answer:

8x+7

Step-by-step explanation:

The reason why I say this is because I subtracted 10x from 2x and then you get left with +7 so in conclusion I think the answer would be 8x+7

This equation shows that the total amount of money earned, M, is equal to the variable cost of $45 per hour multiplied by the number of hours worked, h, plus the fixed charge of $30.

(a) Let's denote the number of hours worked as 'h' and the total amount of money earned as 'M'. The fixed charge of $30 remains constant regardless of the number of hours worked, so it can be added to the variable cost based on the number of hours. The equation describing the relationship is:

M = 45h + 30

This equation shows that the total amount of money earned, M, is equal to the variable cost of $45 per hour multiplied by the number of hours worked, h, plus the fixed charge of $30.

(b) The equation M = 45h + 30 represents a linear relationship. A linear relationship is one where the relationship between two variables can be expressed as a straight line. In this case, the total amount of money earned, M, is directly proportional to the number of hours worked, h, with a constant rate of change of $45 per hour. The graph of this equation would be a straight line when plotted on a graph with M on the vertical axis and h on the horizontal axis.

Nonlinear relationships, on the other hand, cannot be expressed as a straight line and involve functions with exponents, roots, or other nonlinear operations. In this case, the relationship is linear because the rate of change of the money earned is constant with respect to the number of hours worked.

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The area of the triangle with the given vertices is 10 square units.

To find the area of the triangle having the given vertices (0, 0), (4, 0), and (0, 5), we can use the formula for the area of a triangle with coordinates:

Area = (1/2) * |(x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2))|

Here, the coordinates are (x1, y1) = (0, 0), (x2, y2) = (4, 0), and (x3, y3) = (0, 5). Plugging these values into the formula, we get:

Area = (1/2) * |(0 * (0 - 5) + 4 * (5 - 0) + 0 * (0 - 0))|

Area = (1/2) * |(-0 + 20 + 0)|

Area = (1/2) * 20

Area = 10 square units

So, the area of the triangle with the given vertices is 10 square units.

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The original number is -21/5 or -4.2 which is divided by 3 more than the number.

In mathematics, an equation is a statement or formula which shows two expressions having equal value and connected by an equal sign. The two expressions consist of variables and/or numbers.

Let the number be 'x' Two times the number = 2x3 more than the number = x + 3

According to the question,two times a number is divided by 3 more than the number is equal to 7 which means 2x / (x+3) = 7

By applying cross multiplication,2x = 7 × ( x+3)2x

= 7x + 7×32x

= 7x + 212x - 7x

= 21-5x = 21x = 21/ (-5)x

= -4.2

Hence the original number is -4.2

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Answer:

only 0

Step-by-step explanation:

8g < 4 simplifies to g < 4/8, i.e., g < 1/2

only 0 is smaller than 1/2

Given:

A survey stopped men and women at random to ask them where they purchased groceries, at a local grocery store or online. Grocery Options

Store Online Total

Women 23 12 35

Men 22 15 37

Total 45 27 72

Required:

To find the percentage of the people surveyed shop at a local grocery store.

Explanation:

The total number of people is 75.

And the total number of people surveyed shop at a local grocery store is 45.

Now the percentage of the people surveyed shop at a local grocery store is,

Final Answer:

63% of the people surveyed shop at a local grocery store.

Answer:

Layota

$47.5

Step-by-step explanation:

Let number of hours = x

Given that:

Oscar's charges :

First hour = $25

Additional hours = $15

Thus :

Total charge : 25 + 15(x - 1)

The piece wise equation given for Layota's charge rate :

First 3 hours = $30

Next 3 hours = $20

Hours greater Than 6 = $10

If total hours ; x = 5.5 hours

Oscar :

$25 + $15(5.5 - 1)

$25 + $15(4.5)

$25 + $67.5

= $92.5

Layota:

First 3 hours :

$30 * 3 = $90

Hours left :

$20 * (5.5 - 3)

$20 * 2.5 = 50

Total = $90 + $50 = $140

Layota charges more : 140 > 92.5

Difference :

$140 - $92.5

= $47.5

Answer:

See below

Step-by-step explanation:

\(2e)15-4x=10x+45\)

Solve:

\(15-4x=10x+45\\-4x-10x=45-15\\-14x=30\\ \boxed {x=-\dfrac{15}{7}}\)\(3(x+1)=21\)

Check:

\(15-4 \left(-\dfrac{15}{7} \right)=10\left(-\dfrac{15}{7} \right)+45\)

\(15+\dfrac{60}{7} \right)=-\dfrac{150}{7} +45\)

\(\dfrac{210}{7} =30\)

\(30=30\)

\(3a) 3(x+1)=21\)

Solve:

\(3(x+1)=21\\3x+3=21\\3x=18\\x=6\)

\(3b) 2+3(x+1)=6x\)

\(2+3x+3=6x\\5=3x\\\)

\(x=\dfrac{5}{3}\)

\(3c) -2(2x-3)=-2\)

Solve:

\(-2(2x-3)=-2\\-4x+6=-2\\-4x=-8\\x=2\)

Answer:

1/6 = 0.1667

Step-by-step explanation:

sample space = 6

the probability of rolling a number equal to 1 = 1/6

The probability that a customer who paid with a credit card bought premium gas is 0.205.

We need to use Bayes' theorem to find the required probability. Let P(P) be the probability that the customer bought premium gas, and P(C) be the probability that the customer paid with a credit card.

We know that:

We want to find P(P|C), which is the probability that the customer bought premium gas given that she paid with a credit card.

Using Bayes' theorem, we have:

\(P(P|C) = \frac{P(C|P) \cdot P(P)}{P(C)}\)

We can find P(C) using the law of total probability:

P(C) = P(C|R) . P(R) + P(C|M) . P(M) + P(C|P) . P(P)

Substituting the given values, we get:

P(C) = 0.28 * 0.88 + 0.34 * 0.02 + 0.42 * 0.10 = 0.3036

Now, substituting P(C|P) = 0.42 and P(P) = 0.10, we get:

\(P(P|C) = \frac{0.42 \cdot 0.10}{0.3036} = 0.205\)

Therefore, the probability that a customer who paid with a credit card bought premium gas is 0.205 (rounded to 3 decimal places).

The complete question:

In a recent month, 88% of automobile drivers filled their vehicles with regular gasoline, 2% purchased midgrade gas, and 10% bought premium gas. Of those who bought regular gas, 28% paid with a credit card; of customers who bought midgrade and premium gas, 34% and 42%, respectively, paid with a credit card. Suppose we select a customer at random. Given that the customer paid with a credit card, find the probability that she bought premium gas.

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By the side-angle-side (SAS) congruence criterion, we can conclude that triangle ABC is congruent to triangle EDC.

To prove that triangle ABC is congruent to triangle EDC, we need to show that their corresponding sides and angles are congruent.

Given that AB = ED and AB is parallel to DE, we have angle ABC = angle EDC (corresponding angles).

Also, we have AC = CE (C is the midpoint of AE).

Now, consider the triangles ABC and EDC. We have:

Side AB = side ED (given)

Side AC = side CE (proved above)

Angle ABC = angle EDC (proved above)

Therefore, by the side-angle-side (SAS) congruence criterion, we can conclude that triangle ABC is congruent to triangle EDC.

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Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

Answer:

6 tickets

Step-by-step explanation:

Question:

Look at the picture of a scaffold used to support construction workers. The height of the scaffold can be changed by adjusting two slanting rods, one of which, labeled PR, is shown: Part A: What is the approximate length of rod PR? Round your answer to the nearest hundredth. Explain how you found your answer stating the theorem you used. Show all your work. (5 points)

B) The length of rod PR is adjusted to 16 feet. If width PQ remains the same, what is the approximate new height QR of the scaffold? Round your answer to the nearest hundredth.

Answer:

A) 16.64 Feets

B) 7.65 feets

Step-by-step explanation:

Given the following :

The question above can be solved by applying Pythagoras rule :

A^2 = B^2 + C^2

PR² = PQ² + QR²

PR² = 14² + 9²

PR² = 196 + 81

PR = √277

PR = 16.64feet

Now if PR is adjusted to 16 Feets, the New height of the scaffold will be:

QR² = PR² - PQ²

QR² = 16² - 14²

QR² = 256 - 196

QR² = 60

Take the Square root of both sides

QR = √60

QR = 7.7459666 Feets

Answer: 112

Step-by-step explanation:

560/5

Answer:

75 boys

Step-by-step explanation:

5:4

? : 60

60/4= 15

?/5=15

 *5  *5

?= 75

Answer:

75

Step-by-step explanation:

To get from 4 to 60, you need to multiply by 15. If you want to find out how many boys there are, simply multiply 5 by 15, which you get 75.

The method of reduction of order is a technique used to find a second solution to a homogeneous linear differential equation when one solution is already known.

However, it cannot be directly used for nonhomogeneous linear differential equations. In nonhomogeneous equations, the method of undetermined coefficients or variation of parameters is typically used to find a particular solution.

Therefore, the statement "the method of reduction of order can also be used for the nonhomogeneous equation" is false. It is important to understand the different techniques for solving differential equations, and to choose the appropriate method based on the type of equation and boundary conditions given.

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The radius of the circle with a central angle of 144° and arc length of 4 units is approximately 1.5915 units.

The length of an arc in a circle can be found using the formula:

Arc Length = (Central Angle/360)(2πr)

Where the central angle is measured in degrees, π (pi) is approximately equal to 3.14, and r is the radius of the circle.

In this case, the central angle is 144° and the arc length is 4 units. Plug in the values and solve for the radius of the circle.

4 = (144/360)(2πr)

Solving for r, we can isolate it on one side:

r = 4 / ((144/360)(2π) = 4 / (0.4)(2π) = 1.5915 units

Therefore, the radius of the circle is approximately 1.5915 units.

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