What is the current ratio of length to width for us paper money

a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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Answer:

c. 29.3 cubic mi.

Step-by-step explanation:

Volume of cone: \(\pi\) × r² × \(\frac{h}{3}\)

Volume of cone = \(\pi\) × 2² × \(\frac{7}{3}\)

                           = 9\(\frac{1}{3}\)\(\pi\)

                           = 29.3 cubic mi. (rounded to 3 s.f.)

Answer:

n7 is y

Step-by-step explanation:y

No, it is not possible for matrix A and B to be similar when B = A + I, where A is an nxn matrix and I is the identity matrix of the same size.

Two matrices A and B are said to be similar if there exists an invertible matrix P such that \(B = P^{(-1)}AP\). In this case, A and B have the same eigenvalues, and their corresponding eigenvectors can be related through the matrix P.

Let's consider the eigenvalues of B. Since B = A + I, the eigenvalues of B are obtained by adding 1 to each eigenvalue of A. In other words, if λ is an eigenvalue of A, then λ + 1 is an eigenvalue of B.

Now, suppose A and B are similar. This means that they have the same eigenvalues. However, the eigenvalues of B are shifted by 1 compared to the eigenvalues of A. Therefore, it is not possible for A and B to have the same eigenvalues, unless A has eigenvalues that are all equal to -1.

Since the eigenvalues of A and B are different, we can conclude that A and B cannot be similar.

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the total parcel size is 88 acres.

Let's denote the total parcel size as X acres.

According to the given information, 1/4 of the land is allocated to shopping, which amounts to 22 acres. Therefore, we can set up the following equation:

(1/4) * X = 22

To find the value of X, we need to solve this equation for X.

Multiplying both sides of the equation by 4, we get:

X = 22 * 4

X = 88

Therefore, the total parcel size is 88 acres.

what is equation?

In mathematics, an equation is a statement that asserts the equality of two expressions. It consists of two sides, known as the left-hand side (LHS) and the right-hand side (RHS), connected by an equals sign (=).

The general form of an equation is:

LHS = RHS

The LHS and RHS can contain variables, constants, mathematical operations (such as addition, subtraction, multiplication, and division), functions, and other mathematical expressions.

The goal when working with equations is to find the values of the variables that satisfy the equation, making both sides equal. This process is often referred to as solving the equation.

For example, the equation "2x + 5 = 13" states that the expression "2x + 5" is equal to 13. To find the value of x that satisfies this equation, we can manipulate the equation to isolate the variable:

2x + 5 - 5 = 13 - 5  (subtract 5 from both sides)

2x = 8

2x/2 = 8/2  (divide both sides by 2)

x = 4

In this case, the value of x that satisfies the equation is 4.

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Utilizing these principles, you can improve your retention and recall of information, ultimately leading to better performance on the AP test.

To effectively study for the AP test, it's crucial to utilize the principles of distributed practice, the spacing effect, and the testing effect. Distributed practice refers to spreading out your study sessions over a longer period of time rather than cramming all your studying in one sitting. The spacing effect suggests that information is better retained when it's learned in intervals rather than all at once. Additionally, the testing effect states that taking practice tests and quizzing yourself on the material helps improve retention and recall.

To apply these principles, you could create a study schedule that allows for frequent but shorter study sessions, rather than trying to study for hours on end. Take practice tests and quizzes regularly to reinforce the material, and give yourself ample time between each practice test to review and reflect on what you got wrong. You could also try different study techniques, such as flashcards or summarizing material in your own words, to mix up your studying and keep it engaging.

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Answer:

1. Take LCM of both denominators

2. Divide to denominators and multiply with numerators.

and then both denominators are same and add these .

Step-by-step explanation:

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Answer:

p = 0

n = 3

r = 0

Step-by-step explanation:

rules of exponents search the web for em'

Answer:

p=0

p=q^(n-3)

Step-by-step explanation:

Step-by-step explanation:

D, The total amount was X value, but they divided that by 3 for each person, so you would divided the x by 3. ×/3=13.75 per person.

3(x - 2) = 6x - 12

The value of x.

By opening the brackets, we get

3x - 6 = 6x - 12

By putting the common terms in a side, we get

3x - 6x = -12 + 6

(The value of a term changes when we take it to the other side of an equation)

By Subtracting and Adding the like terms, we get

-3x = -6

By putting -3 to the left side of the equation, we get

x = -6/-3

(The value of a term changes when we take it to the other side of an equation)

x = 2

If the probability that two player get the same result is fraction a/b , then such fraction is 1/2 .

In the question ,

it is given that ,

the two players flip a fair coin .

So , the total number of outcomes will be = HH , TT , HT , TH = 4 .

the required event that both will get the same result is = HH , TT = 2

the probability is = (favorable outcomes)/(total outcomes)

So , the required probability is = 2/4

simplifying the fraction ,

we get ,

= 1/2 .

Therefore , the fraction a/b is 1/2 .

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The statements that are true are:
1. The circumscribed angle l has a measure of 49°.
2. If the measure of arc hj is 98°, the measure of angle hmj is 98°.


1. The circumscribed angle l is an angle formed by two intersecting lines with a common endpoint on a circle. The statement that it has a measure of 49° is true.
2. The angle hmj is an inscribed angle, which is half the measure of the intercepted arc. Therefore, if the measure of arc hj is 98°, the measure of angle hmj is also 98°.

The circumscribed angle l has a measure of 49°. If the measure of arc hj is 98°, the measure of angle hmj is 98°.
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The number of cups of vinegar that Mike used lies between the whole numbers 2 and 4

If Mike used one cup of vinegar for each salad dressing recipe, then he used a total of 3 cups of vinegar (1 cup x 3 recipes = 3 cups).

However, the question states that he used "a cup of vinegar" in each recipe, which could mean that he used slightly less than one cup, exactly one cup, or slightly more than one cup.

Assuming that Mike used at least 3/4 cup of vinegar in each recipe (which is still close to "a cup"), then he used a minimum of 2 and 1/4 cups of vinegar in total (3/4 cup x 3 recipes = 2 and 1/4 cups).

Assuming that Mike used at most 1 and 1/4 cups of vinegar in each recipe (which is still close to "a cup"), then he used a maximum of 3 and 3/4 cups of vinegar in total (1 and 1/4 cups x 3 recipes = 3 and 3/4 cups).

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Answer:

True

Step-by-step explanation:

e^{i\pi} + 1 = 0

Simplifying and therefore meaning that the answer is true.

But in all seriousness 6*3 = 18

6*4a = 24a

So yes it is true :)

Answer:

$10 an hour

Step-by-step explanation:

Subtract the bonus to get the pay.

330-90=240

Divide 240 by 24 hours to get his rate of pay.

240/24=10

He gets $10 an hour.

Answer:

Step-by-step explanation:

Subtract 90 dollars from 330. 330-90=240.

The man earned 240 dollars that wee and worked 24 hours.

240/24=10

The solution to the equation (1/(h-5)) - (2/h) = 0 is h = 10.

To find the solution to the equation startfraction 1 over h minus 5 endfraction  startfraction 2 over h  5 end fraction, we need to first simplify the equation. To do this, we need to find a common denominator for the two fractions.
The least common multiple of h and 5 is 5h, so we can rewrite the equation as:
startfraction 5h over h(5h) minus 25 over h(5h) endfraction
Now, we can combine the fractions by subtracting the numerators:
startfraction 5h - 25 over h(5h) endfraction
Simplifying further, we can factor out 5 from the numerator:
startfraction 5(h - 5) over h(5h) endfraction
Finally, we can cancel out the common factor of 5:
startfraction h - 5 over h^2 endfraction
Therefore, the solution to the equation startfraction 1 over h minus 5 endfraction  startfraction 2 over h  5 end fraction is startfraction h - 5 over h^2 endfraction.
Hi! To solve the equation involving the given fractions 1/(h-5) and 2/h, let's follow these steps:
Write down the given equation.
(1/(h-5)) - (2/h) = 0
Find the least common denominator (LCD) of the fractions.
In this case, the LCD is h * (h-5).
Multiply each fraction by the LCD to eliminate the denominators.
[(1/(h-5)) * h * (h-5)] - [(2/h) * h * (h-5)] = 0 * h * (h-5)
Simplify the equation.
(h * 1) - (2 * (h-5)) = 0
Distribute the negative sign and solve for h.
h - 2h + 10 = 0
Combine like terms.
-h + 10 = 0
Add h to both sides of the equation.
10 = h
So, the solution to the equation (1/(h-5)) - (2/h) = 0 is h = 10.

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Therefore, we need 40 workers to complete the work in 15 days.

Let's assume that the amount of work required to build the house is the same, regardless of the number of workers. This means that the number of workers and the time required to complete the work are inversely proportional to each other. We can use the following formula:

n1 × d1 = n2 × d2

where n1 is the initial number of workers, d1 is the initial number of days, n2 is the new number of workers, and d2 is the new number of days.

Substituting the given values, we get:

20 × 30 = n2 × 15

Simplifying the equation, we get:

n2 = (20 × 30) ÷ 15

n2 = 40

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Use the form  a  sin  ( b x − c ) + d  to find the amplitude, period, phase shift, and vertical shift.

Amplitude:   100

Period:  π /  25

Phase Shift:  2 /5  (  2 /5  to the right)

Vertical Shift: 0

the Degree of freedom is 9.

What is confidence interval?

A confidence interval (CI) for an unknown parameter in frequentist statistics is a range of estimations. The most popular confidence level is 95%, but other levels, such 90% or 99%, are occasionally used for computing confidence intervals. The fraction of related CIs over the long run that actually contain the parameter's true value is what is meant by the confidence level. The degree of confidence, sample size, and sample variability are all factors that might affect the width of the CI. A larger sample would result in a narrower confidence interval if all other factors remained constant. A wider confidence interval would also be required by a higher confidence level and would be produced by a sample with more variability.

We have given,

Sample size =n=10

Degree of freedom =n-1=10-1=9

Hence the Degree of freedom is 9

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The two expressions that add to get a sum of - n + 6 are

A. (-6n) + (6 + 2n) and

B. (- 10n + 2) + (6n + 4)

Now, According to the question:

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

The expression is :

-4n + 6

Now the expression as

A. (-6n) + (6 + 2n)

After adding, we have;

(-6n) + (6 + 2n) = -6n + 6 + 2n

= - 4n + 6

B. (- 10n + 2) + (6n + 4)

After adding we have;

(- 10n + 2) + (6n + 4) = - 10n + 2 + 6n + 4

= - 4n + 6

Hence, The two expressions that add to get a sum of - n + 6 are A. (-6n) + (6 + 2n) and B. (- 10n + 2) + (6n + 4)

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10 packages are available, some of which contain only 3 and others 4 rookie cards. There are a maximum of 38 rookie cards in all.

In math, a linear equation one of that of the form y=mx+b. The slope is B, and the una is m. As y and x are variable, the previous statement is frequently referred to as a "system of equations with 2 variables." Bivariate linear equations are logistic equations with two or more variables. Formulas can be found in various locations, including 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When such an equation has had the structure y=mx+b, where m represents the slope and b its y-intercept, it is known to as being linear. A model formula is said to be cubic if its solution seems to have the form y=mx+b, wherein m stands for the gradient and b for the y-intercept.

3x + 4y = 38

x + y = 12 ( Multiply by -3)

Hence

3x + 4y = 38

-3x - 3y = -36

Add

y = 2

In the case where y = 2

x = 12 - y

x = 12 - 2

x = 10,

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There are 264 male students in the high school containing 600 students.

An equation is an expression that shows the relationship between two or more numbers and variables.

There are 600 students altogether, hence:

Number of freshmen = (1/5) * 600 = 120

Number of other graders = 600 - 120 = 480

Number of male freshmen = 120 - (0.4 * 120) = 72

Number of male other graders = (1 - 3/5) * 480 = 192

Total number of male = 72 + 192 = 264

There are 264 male students in the high school containing 600 students.

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Answer:

First it would be 10 and the second one would be 20 tell me if I’m right!!

Step-by-step explanation:   I think it’s that I’m not really sure lol also have a great day :D

Answer:

1. 3^4 x 3^3 < 3^12

2. 3^3 x 4^3 < 12^4

3. 3^4 x 4^3 > 12^3

Correct option is (IV). kurtosis measure of the normal distribution = 3

Kurtosis is frequently defined as a measure of peakedness or flatness. However, this is deceptive. It is a measure of the distribution's tail heaviness (and skewness measure whether one tail is heavier than the other).

Normal distribution curve determines the skewness of the data as to what extent is is disoriented from the normal distribution curve. Also, it is the probability distribution curve that determines whether the data set is two legged, one legged or it lies under which probability curve.

Because these parameters are purely shape-related, they should not be affected by the mean or standard deviation. Pearson's measures use moments about the mean to avoid relying on the mean and scale the variables to eliminate the standard deviation. Because the normal distribution has only two parameters, the skewness and kurtosis are constants. The kurtosis value is 3.

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The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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The volume of the box is 42 ⁷/₈ cubic feet.

A cube is a 3-dimensional shape that has sides that are the same length and angles that are the same size.

Characteristics of the cube:

1. Consists of 6 sides.

2. There are 12 ribs of the same length.

3. Have 12 diagonal fields.

4. Has 8 corner points.

The formula for the volume of a cube is as follows:

Volume = side length x side length x side length

or

V = s³

The formula for the surface area of ​​a cube is as follows:

Surface area = 6 x side length x side length

or

L = 6 x s²

So we can calculate the volume with the above formula.

Volume = side length x side length x side length

Volume = 3 ¹/₂ x 3 ¹/₂ x 3 ¹/₂

Volume = ⁷/₂ x  ⁷/₂ x  ⁷/₂

Volume =  \(\frac{7\times 7 \times 7}{2\times 2 \times 2}\)

Volume = ³⁴³/₈

Volume = 42 ⁷/₈

So, the volume of the box is 42 ⁷/₈ cubic feet.

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