write 2 equivalent expressions for each and find the total price ​

The first example is a stratified random sample, the second example is a simple random sample, and the third example is a simple random sample.

In the first scenario, where registered voters in Ohio are selected from each county, the sampling method used is a stratified random sample. This method involves dividing the population (registered voters) into distinct groups (counties) and randomly selecting a sample from each group. The purpose is to ensure representation from each county and to account for potential variations in opinions across different regions. By using a stratified random sample, the poll aims to obtain a more accurate and representative picture of the overall approval of the smoking ban measure in the state.

In the second scenario, where students at a party are randomly selected to be interviewed about their attitudes toward alcohol, the sampling method used is a simple random sample. This method involves randomly selecting individuals from the entire population without any specific grouping or stratification. The purpose is to ensure that each student has an equal chance of being selected for the interview, regardless of their age group. By using a simple random sample, the party organizers aim to gather unbiased opinions from both students over and under the legal drinking age.

In the third scenario, where men and women residing in Ontario are randomly selected for interviews in the Ontario Health Survey, the sampling method used is a simple random sample. This method involves randomly selecting individuals from the entire population without any specific grouping or stratification. The purpose is to ensure equal representation of men and women in the survey and to gather a diverse range of health-related data. By using a simple random sample, the Ministry of Health aims to obtain unbiased information about the health status and behaviors of both men and women in the province.

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Answer:c

Step-by-step explanation: took the test

\(\\ \bull\tt\longmapsto \sqrt{7}+\sqrt{7}=2\sqrt{7}\)

\(\\ \bull\tt\longmapsto 6\sqrt{7}-11\sqrt{7}+2\sqrt{7}=-3\sqrt{7}\)

\(\\ \bull\tt\longmapsto \sqrt{96}+6\sqrt{72}=4\sqrt{6}+6\sqrt{72}\)

\(\\ \bull\tt\longmapsto \sqrt{B}-5\sqrt{B}=-4\sqrt{B}\)

\(\\ \bull\tt\longmapsto -2\sqrt{32}-7\sqrt{8}=-4\sqrt{8}-7\sqrt{8}=-11\sqrt{8}\)

Answer:

x=9

Step-by-step explanation:

−4(2x+5)+5x−1= −48

-8x-20+5x-1=-48

-3x-21=-48

-3x=-27

x=-27/-3

x=9

Hey Mate!!

Your answer will be below.

Step-by-step explanation:

The answer is C. Because, There's vertical asymptotes at 1 and -1. Vertical asymptotes are present where the x on the denominator is equal to 0. So, Both the values are 1 and -1 set are equal to the 0 in the denominator, So, They're both horizontal asymptotes. Good Luck!

The rationalization of the given surd gives the answer as √2/3

Rationalization is a process that finds application in elementary algebra, where it is used to eliminate the irrational number in the denominator.

Given here:  The surd 2/√18

Thus rationalizing we get as follows:

2/√18

=2×√18/√18×√18  ( multiplying both numerator and denominator by √18)

=2√18/√18² ( since 18²ˣ¹/₂=18)

=2√18/18

=2√3²×2 / 18  ( ∵ 18=3²×2)

=2×3×√2/18

=(6/18) × √2

=(1/3)×√2

=√2/3

Hence, The rationalization of the given surd gives the answer as √2/3

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The divorce rate for women who were married when they were 18 years or younger is higher than for those who marry over the age of 20 years. According to the latest research and studies conducted by various organizations, the divorce rate for women who marry at the age of 18 or younger is around 48%.

There are several reasons for the higher divorce rate among women who marry at a young age. One major factor is lack of maturity and life experience. Marriage requires a certain level of maturity and emotional stability to navigate the ups and downs that inevitably come with any long-term commitment. Many young women who marry before the age of 20 may not have fully developed these qualities, leading to conflict and dissatisfaction in the relationship.

Another factor is societal pressure and expectations. Women who marry young are often expected to take on traditional roles such as homemaker and mother, which can be overwhelming and stressful. This can lead to feelings of resentment and frustration, which can ultimately lead to divorce.

It's worth noting that there are exceptions to every rule, and there are certainly couples who marry young and have long, happy marriages. However, statistics show that the divorce rate is higher among those who marry at a young age.

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Answer:

73.15 seconds or one min and 3.15 seconds

Step-by-step explanation:

x = amount of time it took Jonah to run the race

68.49 + 4.66 = x

x = 73.15 seconds

Answer: y = x - 5

Step-by-step explanation: hope this helps! :)

The general solution of the system x'(t) = Ax(t), where A is the given matrix, can be found by solving the system of linear differential equations associated with it.

To find the general solution, we need to solve the system of linear differential equations x'(t) = Ax(t), where x(t) is a vector-valued function and A is the given matrix.

The solution involves finding the eigenvalues and eigenvectors of the matrix A. The general solution will have the form x(t) = c₁v₁e^(λ₁t) + c₂v₂e^(λ₂t) + ... + cₙvₙe^(λₙt), where c₁, c₂, ..., cₙ are constants, v₁, v₂, ..., vₙ are eigenvectors, and λ₁, λ₂, ..., λₙ are eigenvalues of A.

This general solution represents a linear combination of exponential functions, where each term corresponds to an eigenvalue-eigenvector pair. The specific values of the constants are determined by initial conditions or boundary conditions provided in the problem.

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Answer:

18.9

Step-by-step explanation:

Start with parentheses.

4/5 + 3/5 = 7/5

Simplify 7/5, 7/5 = 1 2/5

Next numbers.

3.5 x 5 = 17.5

Add.

17.5 + 1 2/5 = 18.9

Answer:

11

Step-by-step explanation:

Now, the numbers are 6⁄10 and 8⁄12, so the required rational number can be in between these numbers. The numerator and denominator of the required number should be between the given number, i.e., numerator can be 7 and denominator can be 11. Hence, the rational between 3⁄5 and 2⁄3 is 7⁄11.

The lines given by hx,y,zi = ht + 4, 4t + 5, t − 2i and hx,y,zi = h2s + 3, s + 1, 2s − 3i do not intersect.

We can determine whether two lines intersect by setting their equations equal to each other and solving for the values of x, y, and z. Setting the given equations equal to each other, we have:

ht + 4 = h2s + 3

4t + 5 = s + 1

t − 2 = 2s − 3

From the second equation, we have s = 4t - 4. Substituting this into the third equation, we get t = 3. Then, using t = 3 in the first equation, we get h = -1/3. Substituting these values into the second equation, we get s = 8. However, using these values in the first equation leads to a contradiction: -1/3 ≠ 19/3. Therefore, the lines do not intersect.

Therefore, the lines given by hx,y,zi = ht + 4, 4t + 5, t − 2i and hx,y,zi = h2s + 3, s + 1, 2s − 3i do not intersect.

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We have

1 month --- 2 1/2 boxes

4 months --- x boxes

in order to find the number of boxes we will use crossed multiplication

ANSWER

4 months ---- 10 boxes

The probability will be 0.88, hat the total number of dots is between 300 and 400.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

mean number of dok = 3.5 and

st. deianon = 1.7078

so manor 100 toss = 2,5%

st duiation is = 1.7078 x (100)\(.^{1/2}\)

=17.078

R = 2.92 St. deviation away from mian

probability that total no lie between 300 and 400.

= 1 - \(\frac{1}{k^{2} }\)

=0,88

Hence, The probability will be 0.88.

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Answer:

288

Step-by-step explanation:

3/4=216/x

then solve

864=3x

x=288

The maximum difference between Group 1 and Group 2, in the absence of a true difference, depends on the variances, sizes, and mean difference between the groups. Larger variances and sample sizes increase the potential difference, while smaller variances and sample sizes decrease it. A larger mean difference between the groups will result in a larger maximum difference.

The maximum difference between Group 1 and Group 2 that can occur when there is no true difference between the two groups is influenced by several factors. Firstly, the variances of Group 1 and Group 2 play a crucial role.

If the variances are large, it indicates a greater spread of data within each group, which can result in larger differences between individual data points. On the other hand, if the variances are small, the data points tend to be closer together, resulting in smaller differences between them.

Secondly, the sizes of Group 1 and Group 2 also impact the maximum difference between the two groups. When the sample sizes are small, there is a higher chance of observing larger differences by chance alone. Conversely, larger sample sizes tend to provide more reliable estimates and reduce the likelihood of large differences occurring by random variation.

Finally, the difference between the means of Group 1 and Group 2 affects the maximum difference between the groups. A larger difference between the means of the groups will naturally result in a larger maximum difference between individual data points.

In conclusion, the maximum difference between Group 1 and Group 2 that is likely to occur in the absence of a true difference between the groups depends on the variances, sizes, and the difference between their means. By considering these factors, researchers can better understand the expected range of differences that may arise due to random variation and make informed interpretations of their data.

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Answer:

b

Step-by-step explanation:

Answer:

If 250 per 600

Step-by-step explanation:

600 x 3 is 1800, so 250 x 3 is 750.

So you're answer would be 750

the answer is 3x²

Step-by-step explanation:

we know that k = 3x

when we look at the actual equasion we can se that y = kx, meaning we have to multiply x by 3x which would give us 3x²

Answer:  the answer is 3x^2 three x to the power of 2

Answer:

The balance in 2020 is $47,810,662.65576

Step-by-step explanation:

In order to find the balance in 2020, first we would have to calculate the number of year as follows:

number of years, t=2020-1626

number of years, t=394

Therefore, to calculate the balance in 2020, we would have to use the following formula:

f(t)= 24(1.0375)∧394

f(t)=24*1,992,110.94399

f(t)=$47,810,662.65576

The balance in 2020 is $47,810,662.65576

The inequality for expenditure on ad for both online and billboards will be: 0 ≤ x ≤ 4 and 0 ≤ y ≤ 6.

Firstly we need to know the permissible amount for spending. Based on this, the expenditure will be: 60% × 100,000

expenditure = $60,000

Now, expenditure on online ad = 15000x

Expenditure on billboards = 10000y

The complete inequality will be -

15,000x+10,000y ≤ 60%×100,000

15,000x+10,000y ≤ 60,000

So, the value of x -

x = 60,000/15000

x = 4

The value of y -

y = 60,000/10,000

y = 6

Thus, inequality will be -

0 ≤ x ≤ 4 and 0 ≤ y ≤ 6.

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The correct inequality that represents the given scenario is, x + 4 ≤ 16. Hence option A is true.

Used the concept of inequality,

A relation by which we can compare two or more mathematical expressions is called an inequality.

Given that,

Joanne volunteers 4 hours more per week than Richard does.

In a given week, they do not volunteer for more than a combined total of 16 hours.

Let x be the number of hours that Richard volunteers.

Then the correct inequality is,

x + 4 ≤ 16

Therefore, option A is true.,

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The probability that the woman gave birth to a boy, given that the nurse picked up a boy, is 1/3.

There are 2 boys initially and an unknown number of girls in the nursery, so there were a total of 2 + x babies in the nursery, where x is the number of girls.

Since we know that one of those babies is a boy, there are a total of 2 + x - 1 = 1 + x babies left in the nursery.

So the probability of the nurse picking up a boy, given that the woman gave birth to a boy, is 1/(1+x).

P(boy | picked up boy) = P(picked up boy | boy) * P(boy) / P(picked up boy)

= (1/(1+x)) * 1/2 / (1/(1+x) * 1/2 + x/(1+x) * 1/2)

= 1/3

So the probability that the woman gave birth to a boy, given that the nurse picked up a boy, is 1/3.

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The original polynomial, \(x^2 + 7x + 12\), it can be seen that the two are the same, thus confirming that the polynomial was correctly factored.

To check the result after factoring a polynomial, one can use the FOIL method to ensure that the factored polynomial is equivalent to the original polynomial. The FOIL method stands for First, Outer, Inner, Last, and is used to multiply two binomials. To check the result, one would use the FOIL method to multiply the factored polynomial, and compare the result to the original polynomial. For example, let’s consider the polynomial\(x^2+7x+12\). After factoring, this can be written as (x+4)(x+3). To check the result, one would multiply the two binomials together, (x+4)\((x+3) = x^2 + 3x + 4x + 12\). Comparing this to the original polynomial, \(x^2 + 7x + 12\), it can be seen that the two are the same, thus confirming that the polynomial was correctly factored.

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If the miniature town is built to a 1:10 scale, the diameter of a chocolate chip cookie from Faragher's bakery would be 0.35 inches in the miniature town.

In the miniature town at the Behringer Crawford Museum, the diameter of a chocolate chip cookie from Faragher's bakery would depend on the scale of the miniature town. Since the video doesn't provide the specific scale, we'll have to make an assumption.

Let's say the miniature town is built to a 1:10 scale, meaning that objects in the town are 1/10th the size of their real-life counterparts. If a typical chocolate chip cookie has a diameter of 3.5 inches, we can calculate the diameter of the miniature cookie by dividing 3.5 inches by 10:

3.5 inches / 10 = 0.35 inches

Therefore, if the miniature town is built to a 1:10 scale, the diameter of a chocolate chip cookie from Faragher's bakery would be 0.35 inches in the miniature town.

However, it's important to note that without knowing the specific scale of the miniature town, we can only make assumptions based on the given information. The actual diameter of the chocolate chip cookie in the miniature town may vary depending on the scale chosen for the model.

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The single integral in the form y b a fs(x) dx is:

∫ y=1 to 22 fs(x) dx - ∫ y=1 to 1 fs(x) dx - ∫ y=2 to 5 fs(x) dx - ∫ y=1 to 21 fs(x) dx

To write the given expressions as a single integral in the form y b a fs(x) dx, let's break it down step by step.

1) y = 2 to 22: ∫ fs(x) dx

2) y = 1 to 5: ∫ fs(x) dx

3) y = 21 to 22: ∫ fs(x) dx

Now, to combine these integrals into a single expression, we need to find a common interval that encompasses all three given intervals.

The smallest common interval that covers all three intervals is from 1 to 22.

Therefore, we can rewrite the expressions as:

∫ y=2 to 22 fs(x) dx = ∫ y=1 to 22 fs(x) dx - ∫ y=1 to 1 fs(x) dx

∫ y=5 to 2 fs(x) dx = -∫ y=2 to 5 fs(x) dx

∫ y=21 to 22 fs(x) dx = ∫ y=1 to 22 fs(x) dx - ∫ y=1 to 21 fs(x) dx

Combining these expressions, we get:

∫ y=2 to 22 fs(x) dx - ∫ y=5 to 2 fs(x) dx + ∫ y=21 to 22 fs(x) dx

= (∫ y=1 to 22 fs(x) dx - ∫ y=1 to 1 fs(x) dx) - (-∫ y=2 to 5 fs(x) dx) + (∫ y=1 to 22 fs(x) dx - ∫ y=1 to 21 fs(x) dx)

= 2∫ y=1 to 22 fs(x) dx - ∫ y=1 to 1 fs(x) dx - ∫ y=2 to 5 fs(x) dx - ∫ y=1 to 21 fs(x) dx

Therefore, y b a fs(x) dx, the single integral is:

∫ y=1 to 22 fs(x) dx - ∫ y=1 to 1 fs(x) dx - ∫ y=2 to 5 fs(x) dx - ∫ y=1 to 21 fs(x) dx

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To construct x such that a/x = x/b, we can use the concept of geometric mean. The geometric mean of two numbers a and b is the square root of their product.

In this case, we are given that x = 2. Let's substitute x = 2 into the equation:

a/2 = 2/b

To find x, we need to solve for a and b. Rearranging the equation, we have:

a = (2/b) * 2

a = 4/b

Now, let's substitute a = 4/b into the original equation:

(4/b)/2 = 2/b

Simplifying, we get:

2/b = 2/b

This equation is true for any non-zero value of b. Therefore, we can conclude that there are infinitely many solutions for x such that x = 2 in the given equation.

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The set of numbers whose decimal representations are neither repeating nor terminating is known as the set of irrational numbers.

Irrational numbers are numbers that cannot be expressed as fractions and have non-repeating and non-terminating decimal representations. Examples of irrational numbers include √2, π (pi), and e (Euler's number). These numbers are infinite and non-repeating, meaning their decimal representation goes on forever without following a specific pattern. The proof that √2 is irrational was first demonstrated by the ancient Greeks, and the irrationality of π and e was proven much later in history. Irrational numbers play a significant role in mathematics and are essential for understanding concepts like limits, calculus, and geometry.

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What is the mathematical term for the set of numbers whose decimal representations are neither terminating (finite decimal) nor repeating (infinite periodic decimal)?

Answer:

<CPB

Step-by-step explanation:

Because <APE= right angle

<APC= Obtuse angle

<CPE= Obtuse Angle.

Also, <CPB because its the only angle below 90 degrees and an acute angle must be below 90 degrees.

Answer:

Option C is the correct option.

Step-by-step explanation:

√ 8 • √ 5

Calculate the product

\( = \sqrt{40} \)

Simplify the radical expression

\( = \sqrt{2 \times 2 \times 10} \)

\( = 2 \sqrt{10} \)

Hope this helps...

Best regards!!