List the members of the domain and range in the relation {(2, 8),(3, 27), (4, 64)}. *​

The passengers selected for the in-flight survey in this scenario can be best referred to as a stratified random sample.

In stratified random sampling, the population is divided into smaller, non-overlapping groups, called strata, which share similar characteristics. In this case, the strata are the 40 flights selected by Northwest Airlines. From each of these strata, a random sample of passengers is chosen, which in this case, is a group of ten passengers from each flight.

This method ensures that each flight's passengers are represented in the survey, allowing for better generalizability of the results. By selecting passengers randomly within each stratum, the survey helps minimize selection bias and ensures that the sample reflects the diversity of the overall population of passengers. The stratified random sampling approach is especially useful when studying a large and diverse population, as it provides a more accurate representation of the population's characteristics compared to simple random sampling.

In summary, the passengers participating in the in-flight survey are best referred to as a stratified random sample because they are chosen from 40 randomly selected flights, with ten passengers randomly selected within each flight. This sampling approach ensures better representation of the overall population and helps minimize selection bias in the survey results.

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d bc I did this before it was a test

Answer:

Option (2)

Step-by-step explanation:

Steps to draw a perpendicular at a point lying on a segment;

1). Take a point on the segment at which the perpendicular is to be drawn.

2). Draw an arc from the point chosen on the segment which intersects the segment at the two different points.

3). Now mark two arcs from these points with the same radius intersecting each other on the same side of the segment.

4). Join the point of intersection of the arc with the point given on the line with straightedge.

Hence a perpendicular is drawn at a point of a segment.

These steps have been followed in option (2).

Option (2) will be the answer.

Answer:

It's graph D

Step-by-step explanation:

Answer:

Graph D

Step-by-step explanation:

E D G E

In the case above, the correct vectors are:

The solution for the Ship's vector are:

Note that the Horizontal aspect = 30 cos 30  

                                                   = 25.98.

For the  Vertical aspect = 30 sin(-30)

                                        = -15.

Hence it will be  <25.98, -15>.

In regards to the current's vector:

The Horizontal aspect=  5 sin 20

                                       = 1.71.

The Vertical aspect = 5 cos 20

                                     = 4.7.

Hence it will be <1.71, 4.7>.

Therefore, In the case above, the correct vectors are:

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An inverse does not exist for a parabola.

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics.

It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.

An inverse does not exist for a parabola.

One definition of a parabola includes a line and a point (the focus) (the directrix).

The directrix is not the main focus.

The locus of points in that plane that are equally spaced apart from the directrix and the focus is known as the parabola.

A right circular conical surface and a plane parallel to another plane that is tangential to the conical surface intersect to form a parabola, which is also known as a conic section.

Therefore, an inverse does not exist for a parabola.

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Answer:true

Step-by-step explanation:

Emma's luggage may be lost with probability p = 0.1. The luggage and its content are estimated to be worth 316.05. Emma's utility insures against the loss of the luggage. What is the maximum insurance premium I that Emma would be willing to pay?

Solution:To calculate Emma's maximum insurance premium, let's start by calculating her expected utility if she doesn't insure her luggage.U (no insurance) = 0.9 x U (316.05) + 0.1 x U (0)where U (316.05) is Emma's utility function for 316.05 value, and U (0) is Emma's utility function for a loss of the luggage. Emma has not insured her luggage, hence, if it gets lost, she will get 0 value for it.A sum of 316.05 is worth more than 0, Emma will still get a certain amount of utility, which will be larger than 0.

Therefore, Emma's utility function is likely to be positive, so let us assume that U (0) = 0.If we plug this information into the above equation, we will have:U (no insurance) = 0.9U (316.05) + 0.1 × 0 = 0.9U (316.05)Hence, Emma's expected utility, if she doesn't insure her luggage, will be 0.9U (316.05).However, if Emma chooses to insure her luggage, she will pay the insurance premium I. If the luggage gets lost, she will get reimbursed by the insurance company for 316.05. Her expected utility function, if she insures her luggage, will be:

U (insurance) = 0.9U (316.05 – I) + 0.1U (316.05)Where U (316.05 – I) is Emma's utility function for 316.05 – I value. Emma will get this amount if the luggage is not lost, but she has to pay the premium I.If we compare Emma's expected utility when she insures her luggage and when she doesn't insure her luggage, we will have the following inequality:

U (insurance) ≥ U (no insurance)0.9U (316.05 – I) + 0.1U (316.05) ≥ 0.9U (316.05)Let us solve this inequality:0.9U (316.05 – I) + 0.1U (316.05) ≥ 0.9U (316.05)0.9U (316.05 – I) ≥ 0.8U (316.05)U (316.05 – I) ≥ 0.89U (316.05)Since U (316.05 – I) is a decreasing function, it will get smaller as I gets larger.

Hence, to maximize Emma's expected utility, we need to minimize the insurance premium I that she pays to the insurance company.If Emma doesn't insure her luggage, her expected utility will be 0.9U (316.05)Emma will choose to insure her luggage if her expected utility is larger if she insures her luggage.U (insurance) = 0.9U (316.05 – I) + 0.1U (316.05)0.9U (316.05 – I) ≥ 0.8U (316.05)U (316.05 – I) ≥ 0.89U (316.05)Emma will choose to insure her luggage if her expected utility is larger if she insures her luggage. Hence,Emma's maximum insurance premium I that Emma would be willing to pay is $31.35.

If Emma chooses to insure her luggage, she will pay the insurance premium I. Her expected utility function, if she insures her luggage, will be U (insurance) = 0.9U (316.05 – I) + 0.1U (316.05). Emma will choose to insure her luggage if her expected utility is larger if she insures her luggage. Therefore, Emma's maximum insurance premium I that Emma would be willing to pay is $31.35. The utility function is considered decreasing as Emma has to pay more premium.

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Answer:

63

Step-by-step explanation: Let n represent the number.  If two third of n = 56, n must be 56 times the reciprocal of 2/3 (3/2) 56 time 3/2 = 84.  three quarter of 84 is 84 times 3/4 = 63

Answer:

what type of witch craft is that

Step-by-step explanation:

Answer:

(-5, 1)

Step-by-step explanation:

see the graph below

or you can plot points for x = 1, 2, 3 for both graphs and join those lines

and find the intersecting point

which is (-5, 1)

The equation of the parabola is x^2 = 8(y + 3)

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

Focus = (4, -3)

Directrix, y = 1

Since the directrix is a horizontal line, the parabola opens downward or upward.

The focus is located 4 units to the right of the vertex

So, we have

Vertex = (0, -3).

The equation is of the form:

(x - h)^2 = 4p(y - k),

where (h, k) is the vertex, and p is the distance from the vertex to the focus (and to the directrix).

In this case, h = 0, k = -3, and p = 2.

Substituting these values, we get:

(x - 0)^2 = 8(y + 3)

x^2 = 8(y + 3)

So the equation is x^2 = 8(y + 3)

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Answer:

\({ \rm{15x - 9}} \\ = { \rm{(5 \times 3)x - (3 \times 3)}} \\ = { \boxed{ \rm{3(5x - 3)}}}\)

Answer:

15x-9 = 3(5x-9)

above answer is correct

Answer:

-2

Step-by-step explanation:

y=-2x+5

y=mx+b where m=slope and b=y-intercept

A scientific hypothesis is a proposed explanation or prediction based on limited evidence or prior knowledge, which is subject to further investigation and testing.

A guess is a speculative, unsupported statement without any logical basis, whereas a hypothesis is an educated assumption derived from existing knowledge, observations, or theories. Unlike a guess, a hypothesis is testable and can be supported or refuted by evidence gathered through scientific methods.

Scientists need a hypothesis to provide a framework for their research and guide their investigations. It helps them define the specific question they want to answer and provides a starting point for designing experiments or making observations. By formulating a hypothesis, scientists can systematically evaluate and analyze data, ultimately leading to a deeper understanding of the phenomenon under investigation.

There are indeed scientific hypotheses that cannot be directly tested or proven due to practical or ethical constraints. For example, hypotheses related to historical events that occurred in the distant past may not have accessible evidence for direct testing. Additionally, some questions related to consciousness, subjective experiences, or philosophical concepts may lie beyond the scope of scientific inquiry, as they may not be objectively measurable or observable.

While science has its limitations, it is a powerful tool for investigating and understanding the natural world. However, there are questions that fall outside the realm of scientific inquiry and require other methods of investigation, such as philosophical or ethical considerations.

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Two of the following statements about the results of a screening test are correct are:

a. Sensitivity is the proportion of people who fail the screening test who are aspirators, and

d. Specificity is the proportion of people who pass the screening test who are not aspirators.

Option A: Sensitivity is the proportion of people who fail the screening test who are aspirators

The sensitivity is the proportion of people who fail the screening test and who are actually sick. Sensitivity is the proportion of people who have the disease who test positive in the screening test. Sensitivity, in other words, is the test's capacity to recognize the condition. Sensitivity is calculated as follows: True positive / (True positive + False negative).

Option D: Specificity is the proportion of people who pass the screening test who are not aspirators

Specificity is the proportion of people who pass the screening test and who are actually not sick. Specificity is the proportion of people who are healthy who test negative in the screening test. Specificity, in other words, is the test's capacity to correctly identify non-sick persons. Specificity is calculated as follows: True negative / (True negative + False positive).

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Answer: 20%

Step-by-step explanation:

Probability that 5 of 6 stolen cars will be recovered with insurance records a car with a certain protection system will be recovered 91% of the time is equal to P(x=5)=0.3369 (approximately).

As given,

Insurance protection system recovered of a car=91%

p=0.91

q=1-p

 =1-0.91

 =0.09

n=6

x=5

Using Binomial theorem ,probability of 5 of 6 stolen cars will be recovered is:

ⁿCₓ(p)ˣ(q)ⁿ⁻ˣ

=⁶C₅(0.91)⁵(0.09)⁶⁻⁵

=[6!/(6-5)!5!] × (0.91)⁵× (0.09)

=6×(0.91)⁵×0.09

=0.3369

Therefore, probability that 5 of 6 stolen cars will be recovered with insurance records a car with a certain protection system will be recovered 91% of the time is equal to P(x=5)=0.3369 (approximately).

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(a) 95th percentile of the Chi-squared distribution with degrees of freedom ν=10 is approximately 18.3.

(b) the 5th percentile of the Chi-squared distribution with degrees of freedom ν=10 is approximately 3.2.

(c) P(10.98 ≤ Χ² ≤ 36.78) =  0.9221

(d) P(Χ² < 14.611 or Χ² > 37.652) = 0

The Chi-Squared DistributionIn probability theory and statistics, the Chi-Squared distribution is one of the distributions. This distribution arises when the sum of the squares of the independent random variables is distributed. The distribution is given by the positive square root of the random variable z. We usually call the distribution as a chi-squared distribution with degrees of freedom denoted by ν. The distribution has a wide range of applications in various fields, including bioinformatics, physics, finance, and many others. 

(a). The 95th percentile of the chi-squared distribution with ν = 10The Chi-squared distribution with degrees of freedom ν=10 has a 95th percentile of approximately 18.3. The formula for determining the 95th percentile of the Chi-squared distribution with degrees of freedom ν is as follows:P(χ² ≤ p0.95) = 1 - αwhere α is the significance level. The value of α for 95% confidence is 0.05. Using the inverse Chi-Square distribution function in Microsoft Excel, we can find that the 95th percentile of the Chi-squared distribution with degrees of freedom ν=10 is approximately 18.3.

(b). The 5th percentile of the chi-squared distribution with ν = 10The Chi-squared distribution with degrees of freedom ν=10 has a 5th percentile of approximately 3.2. The formula for determining the 5th percentile of the Chi-squared distribution with degrees of freedom ν is as follows:

P(χ² ≤ p0.05) = αwhere α is the significance level. The value of α for 95% confidence is 0.05.

Using the inverse Chi-Square distribution function in Microsoft Excel, we can find that the 5th percentile of the Chi-squared distribution with degrees of freedom ν=10 is approximately 3.2.

(c). P(10.98 ≤ Χ² ≤ 36.78), where Χ² is a chi-squared rv with ν = 22

The probability of 10.98 ≤ Χ² ≤ 36.78 is the same as the probability of Χ² ≤ 36.78 - Χ² ≤ 10.98.

Using the cumulative distribution function for the Chi-Squared distribution with degrees of freedom ν=22 in Microsoft Excel, we get P(10.98 ≤ Χ² ≤ 36.78) = P(Χ² ≤ 36.78) - P(Χ² ≤ 10.98)= CHISQ.DIST.RT(36.78, 22) - CHISQ.DIST.RT(10.98, 22)= 0.9572 - 0.0351= 0.9221

(d). P(Χ² < 14.611 or Χ² > 37.652), where Χ² is a chi-squared rv with ν = 25The probability of Χ² < 14.611 or Χ² > 37.652 is the same as the probability of Χ² ≤ 14.611 - Χ² ≥ 37.652. Using the cumulative distribution function for the Chi-Squared distribution with degrees of freedom ν=25 in Microsoft Excel, we get P(Χ² < 14.611 or Χ² > 37.652) = P(Χ² ≤ 14.611) + (1 - P(Χ² ≤ 37.652))= CHISQ.DIST.RT(14.611, 25) + (1 - CHISQ.DIST.RT(37.652, 25))= 0.025 - 0.0449= -0.0199However, the probability cannot be negative. Thus, we can say that the probability of Χ² < 14.611 or Χ² > 37.652 is zero. Therefore,P(Χ² < 14.611 or Χ² > 37.652) = 0

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Answer: 4

Step-by-step explanation: yup

Answer:

4

Step-by-step explanation: 2 finger another 2 fingers B O O M  4

In a four-candidate race with 107 votes cast, the smallest number of votes a winning candidate can have is 28.

In a four-candidate race decided by plurality, the winning candidate is the one who receives the most votes, regardless of whether that number of votes constitutes a majority (more than 50%) of the total votes cast.

To determine the smallest number of votes a winning candidate can have in a four-candidate race with 107 votes cast, we can assume that the other three candidates each receive an equal number of votes, say x. Then, the winning candidate must receive more votes than each of the other three candidates.

So, the minimum number of votes the winning candidate can receive is x + 1.

The total number of votes cast in the election is:

x + x + x + (x + 1) = 4x + 1

Since we know that 4x + 1 = 107, we can solve for x:

4x + 1 = 107

4x = 106

x = 26.5

Since x must be a whole number, we can round up to x = 27.

Then, the minimum number of votes the winning candidate can have is:

27 + 1 = 28

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Therefore, the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM is approximately 0.1755, rounded to four decimal places.

To calculate the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM, we need to use the Poisson distribution formula. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space. In this case, the mean (λ) is given as 5. The formula for the Poisson distribution is:

P(X = k) = (e*(-λ) * λ\(^k\)) / k!

Where:

P(X = k) is the probability of getting exactly k calls

e is the base of the natural logarithm (approximately 2.71828)

λ is the mean number of calls (given as 5)

k is the number of calls (in this case, 4)

k! is the factorial of k

Let's calculate the probability using the formula:

P(X = 4) = (e*(-5) * 5⁴) / 4!

P(X = 4) ≈ 0.1755

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Answer:

x=4

Step-by-step explanation:

Hope this helps.

Answer:

Greater than

Step-by-step explanation:

2x+8

divide 2 into both sides

therefore you get

x=4

14 is greater than 4

Let's denote Molly's age as "M" and her father James' age as "J". We know that James is currently 33 years old (J = 33) and his age is three times Molly's age minus three years (J = 3M - 3).We need to find how many years from now (let's call this "Y") will James' age be twice Molly's age. In other words, in Y years, James will be 2 times older than Molly (J + Y = 2(M + Y)).

Now let's solve the problem step by step:

1. We know that J = 33 and J = 3M - 3. So, we can write the equation as: 33 = 3M - 3.
2. Add 3 to both sides: 36 = 3M.
3. Divide both sides by 3: M = 12. So, Molly is currently 12 years old.

Next, we need to find Y:

1. We know that J + Y = 2(M + Y). Substitute J and M with their values: 33 + Y = 2(12 + Y).
2. Simplify the equation: 33 + Y = 24 + 2Y.
3. Subtract Y from both sides: 33 = 24 + Y.
4. Subtract 24 from both sides: Y = 9.

So, in 9 years from now, James will be twice Molly's age.

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A continuous random variable is a variable that can take any value within a certain range or interval. In contrast, a discrete random variable can only take on certain specific values.

In the context of houses, the number of bedrooms is an example of a discrete random variable, since a house can only have a whole number of bedrooms (1, 2, 3, etc.). Similarly, the zip code of a house is also a discrete random variable, since zip codes are predetermined and finite.

On the other hand, the square footage of a house is an example of a continuous random variable. This is because the square footage of a house can take on any value within a certain range (e.g. from 500 to 5000 square feet). There is no specific value that the square footage must be - it can be any number within that range.

To summarize, the square footage of a house is an example of a continuous random variable because it can take on any number within a certain range, whereas the number of bedrooms and zip code are examples of discrete random variables since they can only take on specific, predetermined values.

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Answer:

\( m = \frac{32 - 8}{5 - 3} = \frac{24}{2} = 12 \)

B is the correct answer.

Answer:

12

Step-by-step explanation:

Hello I am sorry to say but the answer should be 12 as 3/2÷1/8=12

hope it helps you

please mark me as brainlist

Answer:

The solution is 1

Step-by-step explanation:

(a^2)+b

(-2^2)+5

-4+5

1

Hello,

Answer:

for k = 4/9

Step-by-step explanation:

a = 9 ; b = 4 ; c = k

we search Δ = 0 (because 1 real root)

Δ = b² - 4ac = 4² - 4 × 9 × k = 16 - 36k

Δ = 0 ⇔  16 - 36k = 0 ⇔ 36k = 16 ⇔ k = 16/36 = (4 × 4)/(4 × 9) = 4/9

⇒ k = 4/9

Answer:

\(\{\frac{4}{9} \}\)

Step-by-step explanation:

First off, we are given a parabola by definition:

\(f(x) = 9x^2 + 4x + k \\ a = 9, b = 4, c = k;\)

Since \(a > 0\), our parabola has an upward opening.

Should we think about it graphically, it will be no wonder that we should pay our attention to the points of the parabola intersecting the abscissa axis. In other words, we need our vertex to intersect the x axis only once per se.
The vertex:

\(V_{x} = \frac{-b}{2a} = \frac{-4}{2 * 9} = - \frac{2}{9} \\ V_{y} = 9V_{x}^2 + 4V_{x} + k = 9(- \frac{2}{9})^2 + 4(- \frac{2}{9}) + k = 9 * \frac{4}{9^2} - \frac{8}{9} + k = \frac{4}{9} - \frac{8}{9} + k = - \frac{4}{9} + k\)

As a result, our \(V_{y}\) is parametric. \(k = \frac{4}{9}\) suits us because \(V_{y} = - \frac{4}{9} + \frac{4}{9} = 0\). If \(k > \frac{4}{9}\), we do not have any roots at all. We have two roots if \(k < \frac{4}{9}\).

Answer:

Divide by -3

Step-by-step explanation:

The opposite of multiplication is division

Hope this helps

Answer:

y = -3/2x + 3

Explanation:

6x + 4y = 12

4y = -6x + 12

y = -6/4x + 3

y = -3/2x + 3