3. (5 points) Find the five-number summary of the following sample data, draw a boxplot, and identify any potential outliers. 1.1 3.0 4.1 4.5 4.8 5.1 5.1 5.6 5.9 6.0 6.3 6.6 6.8 7.1 7.8

Answer:

Step-by-step explanation:

Translation:

A: (1.2)

B: (2,2)

C: (2,4)

Answer:

31

Step-by-step explanation:

Answer:

Store B and Its $1.20 cheaper if you buys five packs of strawberries from store B

Answer:

B

Step-by-step explanation:

\( \sin(2 \alpha ) = 2 \sin( \alpha ) \cos( \alpha ) \)

So we must find cos(alpha)

Use the Pythagorean Identity

\( \sin {}^{2} (x) + \cos {}^{2} (x) = 1\)

We know sin(x)=-7/25

\(( - \frac{7}{25} ) {}^{2} + \cos {}^{2} ( \alpha ) = 1\)

\( \cos {}^{2} ( \alpha ) = 1 - \frac{49}{625} \)

\( \cos {}^{2} ( \alpha ) = \frac{576}{625} \)

\( \cos( \alpha ) = \frac{24}{25} \)

Since cos Is negative over the 3rd quadrant,

\( \cos( \alpha ) = - \frac{24}{25} \)

So we solve sin(2theta)

\( \sin(2 \alpha ) = 2( \frac{ - 7}{25} )( \frac{ - 24}{25} )\)

\( = \frac{336}{625} \)

Answer:

\(\textsf{B)} \quad \dfrac{336}{625}\)

Step-by-step explanation:

The sine double angle identity is:

\(\boxed{\sin (A\pm B)=\sin A \cos B\pm\sin B\cos A}\)

Therefore, using the sine double angle identity, we can rewrite sin 2θ as:

\(\sin (\theta+\theta)=\sin \theta \cos \theta+\sin \theta \cos \theta\)

\(\sin 2\theta=2 \sin \theta \cos \theta\)

Given that sin θ = -7/25, we can use the trigonometric identity sin²θ + cos²θ = 1 to find cos θ:

    \(\sin^2 \theta+\cos^2 \theta=1\)

\(\left(-\dfrac{7}{25}\right)^2+\cos^2 \theta=1\)

                 \(\cos^2 \theta=1-\left(-\dfrac{7}{25}\right)^2\)

                  \(\cos \theta=\sqrt{1-\left(-\dfrac{7}{25}\right)^2}\)

                  \(\cos \theta=\dfrac{24}{25}\)

The given interval for angle θ is:

\(\pi < \theta < \dfrac{3\pi}{2}\)

From inspection of the unit circle (attached), we can see that angle θ is in quadrant III. In this quadrant, both the sine and cosine of the angle are negative. Therefore:

\(\cos \theta=-\dfrac{24}{25}\)

Substitute the given value of sin θ and the found value of cos θ into the double angle equation to find the exact solution of sin 2θ:

\(\begin{aligned}\sin 2 \theta&=2 \sin \theta \cos \theta\\\\&=2 \left(-\dfrac{7}{25}\right) \left(-\dfrac{24}{25}\right)\\\\&= \left(-\dfrac{14}{25}\right) \left(-\dfrac{24}{25}\right)\\\\&= \dfrac{336}{625}\\\\\end{aligned}\)

Answer:

1/44 inches per hour

Step-by-step explanation:

there are 9 hours and 10 minutes during which water decreased by 5/24"

9 hrs, 10 min can be converted to 9 1/6 hours (10 min is 1/6 of 60 min)

5/24 ÷ 9 1/6 = 5/24 x 55/6

5/24 x 6/55 = 1/44  

Disruptive selection is a type of natural selection that favors extreme values of a trait while reducing the fitness of individuals with intermediate values. This pattern occurs when the environment or selective pressures favor individuals at both ends of the phenotype distribution.

Disruptive selection occurs when individuals with extreme phenotypes have higher fitness compared to those with intermediate phenotypes. This can happen in various scenarios. For example, in a habitat with two distinct resource types, individuals with specialized traits for each resource type may have higher survival or reproductive success, leading to the maintenance of two distinct phenotypes.

In disruptive selection, the selection pressure against intermediate phenotypes reduces their fitness, causing a bimodal distribution where individuals at the extremes have higher relative fitness compared to those in the middle. Over time, disruptive selection can result in the divergence of the population into two or more distinct forms, potentially leading to the formation of new species if reproductive isolation occurs.

This type of selection can play a significant role in shaping the evolution and adaptation of populations by promoting and maintaining phenotypic diversity in response to selective pressures.

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If the average of vehicles is 35.7 mpg then

(a) the variable is found to be "average miles per gallon .

(b) The variable is quantitative .

In the question ,

we are studying about the average miles per gallon (mpg) for new hybrid small cars .

by consumer reports the random sample of such vehicles gave an average of 35.7 mpg .

Part (a)

here the variable is "average miles per gallon(mpg) " , because it varies with the different cars .

Part(b) ;

This variable is Quantitative , because here we are studying about the term "how much" that means : average miles per gallon .

Therefore , the variable is "average miles per gallon" and is quantitative .

The given question is incomplete , the complete question is

The average miles per gallon (mpg) for all new hybrid small cars , Using Consumer Reports, a random sample of such vehicles gave an average of 35.7 mpg.

(a) Identify the variable.

(b) Is the variable quantitative or qualitative ?

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Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75. To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms.

For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395

For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266

For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122

To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923

Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

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Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75.

To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms. For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395
For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266
For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122
To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923. Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

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Answer: I don't know if it is multiplication or addition but here are the answers.

Step-by-step explanation:  

$360 * $2.50 * $5.50= 4950

$360 + $ 2.50 + $5.50=368

Six seconds after the start of the breathing cycle, the patient is exhaling at a rate of 0.495 hundred cubic centimeters/second.

(a) The graph of A(t) = 2cos(pi/5 t) + 2 is periodic with a period of 5 seconds. Therefore, one complete breathing cycle lasts for 5 seconds.

(b) Using the Chain Rule, we can find the derivative of A(t) as follows:

A'(t) = -2(pi/5)sin(pi/5 t)

To evaluate A'(6), we substitute t = 6 into the derivative:

A'(6) = -2(pi/5)sin(6pi/5)

Using a calculator, we can approximate A'(6) to be approximately -0.495 hundred cubic centimeters/second.

This means that six seconds after the start of the breathing cycle, the patient is exhaling at a rate of 0.495 hundred cubic centimeters/second.

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Answer: f(-4) = -7

Step-by-step explanation:

    Since -4 is less than -1, we will be substituting x = -4 into the top equation of the piecewise function.

 Given:

 \(\displaystyle \frac{3}{4}x -4\)

 Substitute:

 \(\displaystyle \frac{3}{4}(-4) -4\)

 Multiply:

 -3 - 4

 Subtract:

 -7

The total that Tony has is 1465 while Gene has a total of 1565, hence they are not equivalent.

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

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

14 hundreds, six tens, and 5 ones = 14(100) + 6(10) + 5(1) = 1465

1 thousand, 4 hundreds, 16 tens. and 5 ones = 1(1000) + 4(100) + 16(10) + 5(1) = 1565

The total that Tony has is 1465 while Gene has a total of 1565, hence they are not equivalent.

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Answer:

Step-by-step explanation:

Gene has more, also, by the way, aren't you in my school? Do you know Ezekiel?

Probability of getting tails when weighted coin is flipped is 2/5

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes for an event. For an experiment with 'n'  outcomes, the number of favorable outcomes can be denoted by x.

The probability of an event can be calculated by simply dividing the  number of favorable outcomes by the total number of possible outcomes using the probability formula. The value of the probability that an event will occur can range from 0 to 1. This is because the preferred number of outcomes can never exceed the total number of outcomes. Also, the resulting favorable number is never negative.

Given,

Chance of getting heads on the weighted coin = 60%

Probability of getting heads = 60/100

Probability of getting heads = 3/5

Probability of getting tails = 1 - 3/5

Probability of getting tails = 2/5

Hence, 2/5 is the probability of getting tails on flipping the weighted coin.

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Answer:B.√13

Step-by-step explanation:

Hope this helps!

a=p2+q2

2=62+42

2≈3.60555

Answer:

1. Becky's rate of sales is 9 cups per hour

2. Mayisha's rate of sales is 10 cups per hour

3. Becky is selling 1 fewer cups per hour than Mayisha

4. Becky started with 2 fewer cups than Mayisha

Step-by-step explanation:

1. 30-12=18 18/2=9

2. 31-21=10 21-11=10

3. 10-9=1

4. 30+9=39 31+10=41 41-39=2

Answer:

Becky's rate of sales is \(\boxed{\sf 9}\) cups per hour.

Mayisha's rate of sales is \(\boxed{\sf 10}\) cups per hour.

Becky is selling \(\boxed{\sf 1\: fewer}\) cup(s) per hour than Mayisha.

Becky started with \(\boxed{\sf 2}\) fewer cups than Mayisha.

Step-by-step explanation:

Mayisha

\(\begin{array}{|c|c|c|c|}\cline{1-4} \sf Hours\:(x) & 1 & 2 & 3\\\cline{1-4} \sf Cups\: {left}\:(y) & 31 & 21 & 11\\\cline{1-4} \end{array}\)

Becky

\(\begin{array}{|c|c|c|c|}\cline{1-4} \sf Hours\:(x) & 1 & 2 & 3\\\cline{1-4} \sf Cups\: {left}\:(y) & 30 & & 12\\\cline{1-4} \end{array}\)

Selling at a steady rate.

To calculate the rate of sales, use the rate of change formula:

\(\sf Rate\:of\:change = \dfrac{change\:in\:y}{change\:in\:x}\)

Therefore:

\(\textsf{Becky's rate of sales}=\dfrac{12-30}{3-1}=-9\)

Therefore, as the number of cups reduces by 9 each hour, Becky's rate of sales is 9 cups per hour.

\(\textsf{Mayisha's rate of sales}=\dfrac{11-31}{3-1}=-10\)

Therefore, as the number of cups reduces by 10 each hour, Mayisha's rate of sales is 10 cups per hour.

As 9 is one less than 10, Becky is selling 1 fewer cup(s) per hour than Mayisha.

As Becky had 30 cups left after 1 hour, and her rate of sales is 9 cups, then she started with 30 + 9 = 39 cups.

As Mayisha had 31 cups left after 1 hour, and her rate of sales is 10 cups, then she started with 31 + 10 = 41 cups.

As 39 is 2 less than 41, Becky started with 2 fewer cups than Mayisha.

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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The value of x is approximately 2.8462° and the value of maN is 37°.

To find the value of x and maN, we need to use the given information. According to the question, maN is equal to (13x)°.
To solve for x, we can set up an equation:
maN = (13x)°
Now, since we know that maN is equal to 37°, we can substitute this value into the equation:
37° = (13x)°
To isolate x, we divide both sides of the equation by 13:
37° / 13 = (13x)° / 13
This simplifies to:
2.8462° ≈ x°
Therefore, the value of x is approximately 2.8462°.
Now, let's find the value of maN. We already know that maN is equal to (13x)°. Substituting the value of x that we just found, we get:
maN = (13 * 2.8462)°
Simplifying the multiplication:
maN = 37°
So, the value of maN is 37°.
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\(Answer: \displaystyle\left {{x^2+(y-3)^2=36} \atop {x^2+(y+8)^2=36}} \right. .\)

Step-by-step explanation:

\(D=12\ \ \ \ O(0;b)\\\displaystyle\\R=\frac{D}{2}\\R=\frac{12}{2} \\ R=6.\\Circle \ equation\ is:\\(x-a)^2+(y-b)^2=R^2.\\a=0\ \ \ \ \ R=6\\x^2+(y-b)^2=6^2\\x^2+(y-b)^2=36\\Henese:\\\displaystyle\\\left {{x^2+(y-3)^2=36} \atop {x^2+(y+8)^2=36}} \right. .\)

The equation is 4x + 1=9, where x is the variable is satisfied for x=2.

In the algebra, an equation is a condition based on the variable. It can only be met if a particular value is present for the variable. As a result, the equation 2x - 5 = 13 can only be satisfied by the value of x = 9.

An amount that can fluctuate or altered depending on the mathematical issue is referred to as a variable.

Let's use the variable "x" to construct the equation.

Here, the equation is 4x + 1=9, where x is the variable.

Step1: writing the equation

4x + 1 = 9

Step2: taking 1 to the right side

4x = 9-1

Step3: divide 8 by 4, we get

x =\(\frac{8}{4}\)

x = 2

In the above example, 4x + 1 = 9 represents the equation.

Hence, we get the value of x=2, which means that for the value of x=2 the equation will satisfied.

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The key features of a dyad are its small size, symmetry, instability, interdependence, and intensity.

A dyad refers to a social relationship between two individuals or groups. In sociology, Georg Simmel was the first to identify the unique features of a dyad. Simmel believed that a dyad has distinct characteristics that make it different from other social relationships. In this answer, we will explore the key features of a dyad according to Simmel.

The first key feature of a dyad is that it is the smallest social group, consisting of only two members. Due to the small size of the dyad, each member has a more significant impact on the relationship's outcome than in a larger social group. In a dyad, each member can have a more direct and intimate connection with the other, creating a more intense emotional bond than larger groups.

The second feature of a dyad, according to Simmel, is that the relationship between the two members is more symmetrical than in larger social groups. This symmetry means that the two members are more equal in terms of their social status, power, and influence in the relationship. This symmetry allows for a more direct exchange of ideas and feelings, which can result in a deeper and more profound relationship.

The third key feature of a dyad is that it is unstable and can easily break down. Since there are only two members in a dyad, if one person leaves or is absent, the entire relationship is dissolved. This instability means that a dyad requires more maintenance and attention than larger social groups.

The fourth feature of a dyad is that the members of a dyad are more interdependent than in larger social groups. This interdependence means that the actions of one member have a more significant impact on the other member than in larger social groups. The members of a dyad rely on each other more heavily for emotional support, validation, and affirmation, which creates a strong emotional bond.

Finally, the fifth key feature of a dyad is that it is more intense and emotional than larger social groups. The intimacy and directness of the relationship create a more profound emotional bond, making the members of a dyad more invested in the relationship's outcome. This intensity can create a sense of exclusivity and a feeling of being in a close-knit group.

In conclusion, according to Simmel, the key features of a dyad are its small size, symmetry, instability, interdependence, and intensity. Understanding these characteristics is essential to understanding the dynamics of dyadic relationships, including romantic relationships, friendships, and other close interpersonal relationships. By examining these key features, we can better understand the unique aspects of a dyadic relationship and its impact on the individuals involved.

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Answer:

156 mm

Step-by-step explanation:

The 95% confidence interval for b1 is approximately (0.197, 0.703).

The 95% confidence interval for the slope estimate (b1) is given by:

b1 ± t(alpha/2, n-2) * s(e) / (sqrt(SSX) * sqrt(1 - r^2))

where:

t(alpha/2, n-2) is the t-score with alpha/2 probability (alpha = 0.05 for 95% confidence level) and n-2 degrees of freedom

s(e) is the standard error of the estimate for the regression

SSX is the sum of squared deviations of the predictor variable from its mean

r is the correlation coefficient between the predictor and response variables

Substituting the given values, we have:

b1 ± t(0.025, 7) * 2.16 / (sqrt(2.25*8) * sqrt(1 - 0.45^2))

= 0.45 ± 2.365 * 2.16 / (2.121 * 0.676)

= 0.45 ± 1.253

Therefore, the 95% confidence interval for b1 is approximately (0.197, 0.703). So, the answer is (d) (0.11, 0.79).

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The general fertility rate refers to the number of live births reported in an area during a given time interval divided by the number of women age 15 to 44 years in the area is false

The general fertility rate refers to the number of live births reported in an area during a given time interval per 1,000 women of reproductive age (usually defined as 15 to 44 years old) in the same area.

Therefore, it is a rate or a ratio that expresses the number of births in relation to the number of women of reproductive age in a population.

Hence, the statement is False that the general fertility rate refers to the number of live births reported in an area during a given time interval divided by the number of women age 15 to 44 years in the area is false

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When no undergraduate students, graduate students, or faculty members are employed, 520 interviews are allowed.

Term definitions for faculty. a teacher who holds a position at a college or university. the words "academic" and "academician" It does, and it depends on the situation. A group of employees can be referred to as a "faculty" and the plural form is "faculties." I am a faculty member in the school of medicine. A faculty member of the School of Mathematics is my colleague. Educators, lecturers, researchers, scholars, and professors of various academic positions, such as associate professor, assistant professor, and so forth, make up a faculty. As previously mentioned, there are three levels of faculty rank: assistant, associate, and full professor.

Let xi represent the undergraduate​ students, graduate​ students and faculty  students.

The maximum interview, \(P=18x_{1} +25x_{2} +30x_{3}\)

Subject to \(x_{1} +x_{2} +x_{3}\)≤20

\(100x_{1} +150x_{2} +200x_{3}\)≤3200

With \(x_{1},x_{2} ,x_{3}\)≥0

\(P_{max}=520\)  when \(x_{1} =0\), \(x_{2} = 16\), \(x_{3} = 4\)

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Answer:

x = - 2, x = \(\frac{5}{4}\)

Step-by-step explanation:

Given

- 4x² - 3x + 14 = 4 ( subtract 4 from both sides )

- 4x² - 3x + 10 = 0 ( multiply through by - 1 to clear the leading negative )

4x² + 3x - 10 = 0

Consider the product of the factors of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 4 × - 10 = - 40 and sum = + 3

The factors are + 8 and - 5

Use these factors to split the x- term

4x² + 8x - 5x - 10 = 0 ( factor the first/second and third/fourth terms )

4x(x + 2) - 5(x + 2) = 0 ← factor out (x + 2) from each term

(x + 2)(4x - 5) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

4x - 5 = 0 ⇒ 4x = 5 ⇒ x = \(\frac{5}{4}\)

The answer as a fraction, decimal, and percent is 3/10, 0.3, and 30%, respectively.

The table on air travel outside of the airport is not provided in the question. However, to answer the question, we can assume that the table contains information about flight arrivals and departure times.In order to determine if a flight arrived on time, we need to know the scheduled arrival time and the actual arrival time. If the actual arrival time is later than the scheduled arrival time, then the flight is considered delayed. If the actual arrival time is earlier than the scheduled arrival time, then the flight is considered early. If the actual arrival time is the same as the scheduled arrival time, then the flight is considered on time.To find the percentage of flights that arrive on time, we need to divide the number of on-time flights by the total number of flights and then multiply by 100. For example, if there are 200 flights and 140 of them arrived on time, then the percentage of flights that arrived on time would be:

(140/200) x 100 = 70%

To find the percentage of flights that did not arrive on time, we need to subtract the percentage of on-time flights from 100. For example, if the percentage of on-time flights is 70%, then the percentage of flights that did not arrive on time would be:

100 - 70 = 30%

Therefore, the answer as a fraction, decimal, and percent is 3/10, 0.3, and 30%, respectively.

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Box B has the smaller range of masses, with a range of 49 grams, compared to Box A's range of 97,649 grams.

The question asks which of the boxes has the smaller range of masses and what is the value of this range in grams (g).
To find the range, we need to subtract the smallest value from the largest value in each box.
In Box A, the smallest value is 4 and the largest value is 97653. So, the range in Box A is 97653 - 4 = 97649 g.
In Box B, the smallest value is 2 and the largest value is 8762. However, we are given that key 35 represents a mass of 53 g and key 51 represents a mass of 51 g. So, the actual largest value in Box B is 51. Therefore, the range in Box B is 51 - 2 = 49 g.
Comparing the ranges, we can see that the range in Box B (49 g) is smaller than the range in Box A (97649 g).

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The correct equation is \(P = 2.5w\) .

The average cost is the ratio of the total of cost of all the products to the total number of products.

The general form of the cost function formula is C(x)=F+V(x) C ( x ) = F + V ( x ) , where F is the total fixed costs, V is the variable cost, x is the number of units, and C(x) is the total production cost.

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

An equation says that two things are equal. It will have an equals sign "=" .

A 12-ounce box of cereal costs $4.80.

The price be 'P' and weight be 'w'.

$4.80 is the price of box with weight 12-ounce

i.e. 4.80P = 12w

Divide both side by 4.80

\(\frac{4.80P}{4.80} = \frac{12w}{4.80}\)

\(P = 2.5w\)

Therefore, the correct equation is \(P = 2.5w\) .

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Answer:

No

Step-by-step explanation:

In a single year, there are 12 months. 1 month=1 inch.

12 x 1 inch is 12 inches.

12 is greater than 4, so the answer is not a proportional relationship.

12 is greater than 4, so the answer is not a proportional relationship.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A strand of hair grows at a constant rate of 1 inch per month.

In a single year, there are 12 months. 1 month = 1 inch.

12 x 1 inch is 12 inches.

A different strand of hair grows at a constant rate of 4 inches per year.

12 is greater than 4, so the answer is not a proportional relationship.

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