Question 2 Find the margin of error for the survey results described. In a survey of 125 adults, 30% said that they had tried acupuncture at some point in their lives. Give your answer as a decimal to three decimal places. a. 0.045 b. 0.089 c. 0.179 d. 0.008

Answer:

Step-by-step explanation:

To solve this problem, we need to divide 3/10 gallons by 1 gallon, which is equal to 4 quarts.

First, let's convert the fraction 3/10 to a decimal by dividing the numerator by the denominator: 3 / 10 = 0.3

Then, we can divide 0.3 gallons by 1 gallon to get the equivalent number of gallons in quarts: 0.3 gallons / 1 gallon = 0.75 quarts

Since 1 quart is equal to 0.25 gallons, 0.75 quarts is equivalent to 3/4 of a gallon.

Finally, we can add the number of quarts given in the problem (11 quarts) to the number of quarts equivalent to the number of gallons (3/4 of a gallon, or 3 quarts). This gives us a total of 14 quarts, which is equivalent to 3 and 1/2 gallons.

Therefore, the final answer is 3 gallons and 11 quarts.

On solving the provide question, we got to know that volume of cube is [tex]343 cm^3[/tex] and volume of cuboid is [tex]224 cm^3[/tex], so volume cube is greater.

We are aware that a rectangle has four corners and is a two-dimensional form. Think of the form as a collection of parallel rectangles. The resultant form is known as a cube. Take a look at the following three-dimensional cube. Height, Width, and Length

The volume of the cube = [tex]a^3[/tex]

Where a is the length of the side = 7cm

volume of cube = [tex]7 X 7 X 7= 343 cm^3[/tex]                  

volume of the cuboid = l*b*h

[tex]7 X 8 x 4 = 224 cm^3[/tex]

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The length of the unknown side is 6 units

From the question, we have the following parameters that can be used in our computation:

Triangles ABC and QRS

This triangles are similar triangles

This means that

AB : AC= QR : QS

Substitute the known values in the above equation, so, we have the following representation

5 : 3 = 10 : QS

Multiply the first ratio by 2

So, we have

10 : 6 = 10 : QS

By comparison, we have

QS = 6

Hence, the length is 6 units

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Answer:

Step-by-step explanation:

it is C because 65 is a one Time thing and 30x means every month u rent it times the money.

The distance between the line segment from P to RQ is 2.83 units

Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x₂ – x₁)² + (y₂ – y₁)²).  This formula is used to find the distance between any two points on a coordinate plane or x-y plane.

In this case, we need to find the coordinate of P and RQ

From P to the line RQ, we will meet the midpoint of the line RQ which has a coordinate of (3, 3)

Let's use the formula of distance of a line segment and solve this

d = √((x₂ - x₁)² + (y₂ + y₁)²)

d = √(3 - 1)² + (3 - 1)²

d = √(2)² + (2)²

d = √8

d = 2√2

d = 2.83 units

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Answer:

D

Step-by-step explanation:

i did this before trust me

The following statement is true is a) All the rhombuses are squares .

Given :

In contrast to a square, the lengths of all four sides of a rhombus are equal, the diagonals of a rhombus bisect each other, and all four angles of a rhombus are not equal to 90 degrees.

Parallelograms are not all squares. Parallelograms have equal length opposite sides, hence squares with all sides equal are parallelograms. Rhombuses are the only kites that fly.

Because a parallelogram contains two pairs of parallel sides, a trapezium is not a parallelogram. A trapezium, on the other hand, has only one pair of parallel sides.

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Under ASA criterion, Δ ACB ≅ ΔDEF, as ∠C = ∠E, ∠B = ∠F, and the side CB = EF.

What is ASA Congruence Rule?

ASA Congruence rule stands for Angle-Side-Angle. Under this rule, two triangles are said to be congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle. Look at the image given below to determine if the two given triangles, Δ ABC and ΔXYZ are congruent by the ASA rule.

Hence , Under ASA criterion, Δ ACB ≅ ΔDEF, as ∠C = ∠E, ∠B = ∠F, and the side CB = EF. Since Δ ACB ≅ ΔDEF, then the third angle ∠A and the other two sides of Δ ACB are bound to be equal to the corresponding angle ∠D and the sides of ΔDEF.

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Answer:

$126

Step-by-step explanation:

Monday: 5HR X $14 = $70

Tuesday: 4HR X $14 = $56

$70+$56=$126

Equations are not equivalent because the values are found to be different.

What is an expression?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Expressions are:

(9a - 27) - 4 = 9a  - 31 -------(I)

and -3(- 4 - 3) = -3(-7) = 21 -----(II)

From (I) and (II), expressions are not equivalent.

Hence, equations are not equivalent because the values are found to be different.

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Answer:

lick on 3 pointing left under the wear

Yes, it's true that the interpretations that participants make of events can be best studied through qualitative research techniques like participant observation or in-depth interviews.

Going into the field without telling every subject of the field research who you are is always unethical. The following are a number of the methodologies normally utilized in qualitative research: Ethnography commonly entails researchers immediately gazing members of their herbal environments over time. A key characteristic of ethnography is the truth that herbal settings, unadapted for the researchers' interests, are used.

A famous and useful categorization separate qualitative strategies into 5 groups: ethnography, narrative, phenomenological, grounded theory, and case study. John Creswell outlines those 5 strategies in Qualitative Inquiry and Research Design. As maximum qualitative information is amassed via interactions with members via the usage of interviews, surveys, questionnaires, or awareness groups, a researcher have to discover members who're inclined to talk approximately their experiences.

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Correct Question:

Qualitative research methods, such as participant observation or intensive interviews, are particularly strong in studying the meanings that participants attach to events. state true or false.

It is possible for the the two different non-isomorphic graphs can have same number of vertices and edges , and the two such graphs are drawn below .

Two graphs are said to be isomorphic if they contain same number of vertices connected in the same way.

So, Yes the two non-isomorphic graphs can have the same number of vertices and the same number of edges.

The two such graphs are drawn below

If the degrees of vertices in two graph are same then the graph will become isomorphic it will no longer be Non-Isomorphic.

Therefore, No two graphs that are non isomorphic can have same number of edges, vertices and degrees of vertices all at once.

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In image.

In the Image is the anser and explanation.

Using Euclid's Algorithm, the greatest common divisor or 8406 and 1242  is 18

The first number = 8406

The second number = 1242

We have to find the greatest common divisor of the given numbers 8406 and 1242 using the Euclid's Algorithm

8406 / 1242 = 6 R 954

8406 = 6 × 1242 + 954

1242 /  954 = 1 R 288

1242 = 1 × 954 + 288

954 / 288 = 3 R 90

954 = 3 × 288 + 90

288 / 90 = 3 R 18

288 = 3 × 19 + 18

90 / 18 = 5 R 0

90 = 5 × 18 + 0

The remainder became zero, so the greatest common divisor 18

Therefore, the greatest common divisor of 8406 and 1242 is 18

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If (x + 8) is a factor of f(x), then the true statement is f(-8) = 0 .

In the question ,

it is given that , x [tex]+[/tex] 8 is factor of f(x) ,

we have to select the correct option about f(x) from the given options .

When solving the polynomials, a factor of the polynomial gives the solution of  the polynomial.

that means , x + 8 = 0

So , x = -8 ,

So , it means that when x = -8 , then the value of the function f(-8) will be zero ,

which means that x = -8 will be a root of the given function f(x) .

Therefore , the true statement is f(-8) = 0 .

The given question is incomplete , the complete question is

If (x + 8) is a factor of f(x), which of the following must be true ?

(a) Both x = –8 and x = 8 are roots of f(x).

(b) Neither x = –8 nor x = 8 is a root of f(x).

(c) f(–8) = 0

(d) f(8) = 0

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The solution set is for the given inequality is (-∞, -2.25]

Here we want to solve the following inequality:

-11 - 8k ≥ 23 - (7 - 4k)

To solve this, we need to isolate the variable k in one side of the equation.

First we can expand the right side so we get:

-11 - 8k ≥ 23 - (7 - 4k)

-11 - 8k ≥ 23 - 7 + 4k

Group like terms:

-11 - 23 + 7  ≥ 4k + 8k

-34 + 7 ≥  12k

-27 ≥  12k

-27/12 ≥  k

-2.25 ≥  k

Then the solution is the set of all values smaller than or equal to -2.25, then the solution set is (-∞, -2.25]

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The forecast of soccer ball demand for the month of April is 123.

What is regression?

Regression analysis is a group of statistical procedures used in statistical modelling to determine the relationships between a dependent variable and one or more independent variables.

The main focus of regression to the mean is how data balances. In essence, it says that if a variable is extreme when measured for the first time, it will be more typical the next time.

The regression equation is Y = 98 + 2.2x, where x = 4 for April.

So the unadjusted forecast for April,

= 98 + 2.2x = 98 + (2.2 × 4) = 98 + 8.8 = 106.8

Seasonal index for April = 1.15

Adjusted forecast for April = Unadjusted forecast × seasonal index = 106.8 × 1.15 = 122.82 or rounded to 123

So the answer is 123.

Hence, the forecast of soccer ball demand for the month of April is 123.

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Complete question:

Complete question is attached below.

Answer:

y+29103.83045673370361328125

Valeria rode for 15 miles in the evening each day.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Valeria has been training for the Charlestown Cruisers bike race. The first week she trained, she rode 5 days and took the same two routes each day. She rode an 8-mile route each morning and a longer route each evening. By the end of the week, she had ridden a total of 115 miles.

Let the distance she covered in evening be x,

Establishing the equation,

(8+x)5 = 115

8+x = 23

x = 15

Hence, Valeria rode for 15 miles in the evening each day.

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Answer: Its -12

Step-by-step explanation:

In Algebra, a constant is a number on its own.

To get 80% percentage you need to attempt 20 question

In mathematics, a percentage (from Latin: per centum, "by a hundred") is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%",although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number (pure number); it has no unit of measurement.

For example, 45% (read as "forty-five per cent") is equal to the fraction

45/100, the ratio 45:55 (or 45:100 when comparing to the total rather than the other portion), or 0.45. Percentages are often used to express a proportionate part of a total.

now we need to find  80% of a 25 question test

80% of 25 can be written as 80% × 25

= 80/100 × 25

= 20

To get 80% you need to attempt 20 question

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Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

Grape flavor has the smallest ratio of mix to water.

What is ratio proportion?

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, and the divisor or number that is dividing is referred to as the consequent. A ratio compares two numbers by division.

Here, we have

The ratios of punch mix to water for several fruit drinks as Grape mix (1 Grape flavor has the smallest ratio of mix to water.

cup to 3 cups), Cherry mix (5 cups to 12 cups), Lemon mix (7 cups to 12 cups), and Orange mix (2 cups to 3 cups).

We have to find which flavor has the smallest ratio of mix to water.

So, we compare all the given proportions by having a common base.  

Proportions of grape, cherry, lemon, and orange mixed in water = 1/3, 5/12, 7/12, 2/3

Now let us have a common denominator 12 as LCM of 3 and 12 is 12.  

Proportions of grape, cherry, lemon, and orange mixed with water = 1×4/3×4, 5/12, 7/12, 2×4/3×4

Proportions of grape, cherry, lemon, and orange mixed with water = 4/12, 5/12, 7/12, 8/12

Hence, the Grape flavor has the smallest ratio of mix to water.

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The amount of piles of fake vomit that the manufacturing line can produce at medium speed is of:

2 piles.

A proportion is a fraction of a total amount, and this fraction is used along with the basic arithmetic operations, especially multiplication and division, to find the equivalent measures in the context of a problem.

The amount that can be produced at high speed is of:

4 piles of vomit.

(as stated in the text).

At medium speed, the amount is 50% of the amount of 4 piles of vomit produced at high speed, hence 4 is multiplied by 0.5 to give the amount, as follows:

0.5 x 4 = 2 piles of vomit.

(as the decimal equivalent of the percentage of 50% is of 0.5).

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Answer:

a) 191.3 students

b) 433.8 students

Step-by-step explanation:

a) Since x represents years since 1998, on the graph, the number of student in 2005 is represented at x = 7.

So, to solve for the number of students studying abroad in 2005, find the approximate y-coordinate of the point on the graph at x = 2005 - 1998 = 7:

(7, 191.296)

         ↓

   191.296

Finally, round this to the nearest tenth.

192.296 ≈ 191.3 students

See the attached images for a graph and an algebraic solution for the coordinate.

b) Since x represents years since 1998, on the graph, the number of student in 2018 is represented at x = 2018 - 1998 = 20.

So, to solve for the number of students studying abroad in 2018, find the approximate y-coordinate of the point on the graph at x = 20:

(20, 433.761)

         ↓

   433.761

Finally, round this to the nearest tenth.

433.761 ≈ 433.8 students

Answer: $37.80

Step-by-step explanation: To calculate the percentage of the discount, we should recall the formula:

Percent = whole number * part percent / 10

So, now we should plug in the numbers

42 * 10 / 100

so 42 * 10 = 420

So, 420 / 100 = 4.2

Now, we subtract 4.20 from 42 and get $37.80. We don't need to worry about tax, because It isn't listed and it said "the price BEFORE tax." I hope this helped.

Part a: Roy sweeps out 2.15/0.7 radians.

Part b: When Roy stops skiing, he is cos(3.071)(0.7) km to the center of the ski trial

Part c: When Roy stops skiing he is sin(3.071)(0.7) km above the centre of the ski trail

The radius of the ski trail= 0.7 km

Roy starts 3 o'clock position and travels 2.15 km in the counter-clockwise direction.

Let O be the centre of ski trial, A be the starting point(3-o'clock position) and consider he is now at point B.

Now, using the formula for arc length.

Arc length=(Radius)(angle at center)

2.15=(0.7)θ

θ=2.15/0.7

Roy sweep out 2.15/0.7 radians.

Part b:

When Roy stops skiing how many km is Roy to the right of the ski trial

In part, a figure draws the vertical line from point B on the horizontal line. Get the right-angle triangle

Here to find the length OP. In right angle triangle cos θ=Adjacent side/hypotenuse,

As in part, a central angle is 2.15/0.7=3.071.

Therefore,

cos(3.071)=OP/0.7

OP=cos(3.071)(0.7)  

cos(3.071)(0.7) km.  

Part c:

When Roy stops skiing how many km is Roy above the centre of the ski trial

From figure part of part b, we have to calculate side BP.

In right angle triangle sin(θ)=Opposite side/hypotenuse

Therefore,

sin(3.071)=BP/0.7

BP=sin(3.071)/(0.7)

sin(3.071)(0.7) km.

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Activities in which students participated in sports benefit in a variety of ways, including greater grades and test scores, higher academic achievements, more regularity in class attendance, and an increase in self.

There had been a link between extracurricular involvement and grades, but there was not definitely a causal relationship, thus they cannot make any conclusions from this research.

This was an observational study since students were not randomly assigned to treatment groups—so we can say that there is an association or a relationship extracurricular participation and grades. Since this wasn't an experiment, we don't necessarily know that extracurricular participation caused higher grades.

Hence we get the required answer.

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The required measure of the angle ∠VYW is given as 59°.

Given that,
A Right angle is shown, where the measure of the complementary angle ∠VYW is to be determined.

orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

here,
For complementary angle,
∠TYV + ∠VYW = 90
31 + ∠VYW = 90
∠VYW = 59°

Thus, the required measure of the angle ∠VYW is given as 59°.

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