The data show the distance (in miles) from an airport of a sample of
22 inbound and outbound airplanes. Use technology to answer parts (a) and (b).
a. Find the data set's first, second, and third quartiles.
b. Draw a box-and-whisker plot that represents the data set.
2.1
2.3
2.4
2.6
2.8
3.2
3.2
3.5
3.7
3.7
3.7
4.2
5.1
5.2
5.3
5.4
5.7
5.8
5.8
5.8
5.8
5.9
a. Find the three quartiles.

The solution is Option B.

The probability of drawing a consonant is given by the equation P = 5/7

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability of drawing a consonant be represented as P

Now , the equation will be

The total number of letters in the word DECIMALS = 7 letters

The total number of consonants in the word DECIMALS is given by the set A = { D , C , M , L , S }

So , the number of consonants = 5 letters

And , the probability of drawing a consonant P = total number of consonants in the word DECIMALS / total number of letters in the word DECIMALS

Substituting the values in the equation , we get

The probability of drawing a consonant P = 5/7

Hence , the probability is 5/7

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The minimum time for completing the project, based on the critical path analysis, is 18 weeks. The critical path, which consists of activities with zero slack time, includes activities A, B, C, F, G, and H. By summing up the durations of these critical activities, we find that the minimum time for completing the project is 18 weeks.


To calculate the minimum time for completing the project, we need to identify the critical path, which consists of activities with zero slack time. Here are the step-by-step calculations:

1. Assign forward and backward pass values:

  Start by assigning the project start time as Early Start (ES) = 0 for Activity A. Then, calculate the Early Finish (EF) for each activity by adding the duration to the ES. The backward pass starts from the project completion time, which is the Late Finish (LF) for Activity I, initially set at 26 weeks. Calculate the Late Start (LS) for each activity by subtracting the duration from the LF.

  Activity A: ES = 0, EF = ES + 4 = 4, LS = LF - 4 = 26 - 4 = 22, LF = 26

  Activity B: ES = 4, EF = ES + 3 = 4 + 3 = 7, LS = LF - 3 = 26 - 3 = 23, LF = 26

  Activity C: ES = 7, EF = ES + 2 = 7 + 2 = 9, LS = LF - 2 = 26 - 2 = 24, LF = 26

  Activity D: ES = 7, EF = ES + 6 = 7 + 6 = 13, LS = LF - 6 = 26 - 6 = 20, LF = 26

  Activity E: ES = 13, EF = ES + 5 = 13 + 5 = 18, LS = LF - 5 = 26 - 5 = 21, LF = 26

  Activity F: ES = 13, EF = ES + 4 = 13 + 4 = 17, LS = LF - 4 = 26 - 4 = 22, LF = 26

  Activity G: ES = 18, EF = ES + 2 = 18 + 2 = 20, LS = LF - 2 = 26 - 2 = 24, LF = 26

  Activity H: ES = 20, EF = ES + 3 = 20 + 3 = 23, LS = LF - 3 = 26 - 3 = 23, LF = 26

  Activity I: ES = 9, EF = ES + 5 = 9 + 5 = 14, LS = LF - 5 = 26 - 5 = 21, LF = 26

2. Calculate slack time:

  Slack time (ST) can be calculated by subtracting the EF from the LS or the ES from the LF for each activity.

  Activity A: ST = LS - EF = 22 - 4 = 18

  Activity B: ST = LS - EF = 23 - 7 = 16

  Activity C: ST = LS - EF = 24 - 9 = 15

  Activity D: ST = LS - EF = 20 - 13 = 7

  Activity E: ST = LS - EF = 21 - 18 = 3

  Activity F: ST = LS - EF = 22 - 17 = 5

  Activity G: ST = LS - EF = 24 - 20 = 4

  Activity H: ST = LS - EF = 23 - 23 = 0

  Activity I: ST = LS - EF = 21 - 14 = 7

3. Identify the critical path:

  The critical path consists of activities with zero slack time. In this case, the critical path includes activities A, B, C, F, G, and H.

4. Calculate the minimum project completion time:

  Sum up the durations of the activities on the critical path to find the minimum time for completing the project.

 Minimum Time = Duration of Activity A + Duration of Activity B + Duration of Activity C + Duration of Activity F + Duration of Activity G + Duration of Activity H

              = 4 + 3 + 2 + 4 + 2 + 3

              = 18 weeks

Therefore, the minimum time for completing the project is 18 weeks.

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Answer:

  22

Step-by-step explanation:

The least common multiple of 6 and 9 is 18. Consider a group of 18 numbers, 1–18, for example. The multiples of 6 are 6, 12, and 18, of which two are not multiples of 9.

There are 11 groups of 18 numbers in 1–200, with 2 left over. That means there will be 11×2 = 22 numbers that are multiples of 6 but not 9.

__

200/18 = 11 remainder 2

Answer:

2

Step-by-step explanation:

Answer:

slope = 0

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (8, 2 ) and (x₂, y₂ ) = (10, 2 )

m = \(\frac{2-2}{10-8}\) = \(\frac{0}{2}\) = 0

Answer:

B & E.

Step-by-step explanation:

8 4/5+(3 2/10-1 1/5) = 54/5

A = 66/5

B = 54/5

C = 66/5

D = 43/5

E = 54/5

The correct sequence of project phases is Definition - Planning  - Performance. The correct answer is B.

This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.

Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.

Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.

Therefore the sequence of project phase is  Definition - Planning  - Performance The correct answer is B.

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The age of the sister will be 20 years when the boy's age will be 12 years, given that when the boy was 8 years old, his sister was twice as old as him.

In the question, we are given that a boy is 8 years old and his sister is twice as old.

We are asked to find the age of the sister, when the boy is 12 years old.

The given age of the boy = 8 years.

Thus, the age of the sister = Twice the age of the boy = 2*8 years = 16 years.

The given case is when the boy is 12 years old.

Thus, the increase in the age of the boy = 12 - 8 = 4 years.

The age of the sister, after increasing 4 years = 16 + 4 = 20 years.

Thus, the age of the sister will be 20 years when the boy's age will be 12 years, given that when the boy was 8 years old, his sister was twice as old as him.

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Sara could use the following system of inequalities to determine how many of each kind of food She can serve:

6x + 3y <45x> = 4

Generally, For this case we have the following variables:

x = the number of wing servings

y = the number of burgers

We write the system of equations:

"Sara knows that at least 4 of her friends want wings":

x> = 4

"Sara must spend less than $ 45.00":

6x + 3y <45

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The required inequalities are x >= 4 and 6x + 3y< 45

She can serve 4 wings and 6 burgers so she spends less than $45.

Consider the provided information.

Wings cost $6.00 per serving and burgers are $3.00 each.

x represents the number of wing servings and y represents the number of burgers.

Sara knows that at least 4 of her friends want wings.

Thus x>=4

Sara must spend less than $45.00

6x + 3y< 45

Hence, the required inequalities are x >= 4 and 6x + 3y< 45

Now find how many of each kind of food Sara can serve.

If she serves 4 wings:

6(4) + 3y  < 45

y <7

She can serve 4 wings and 6 burgers so she spends less than $45.

Similarly, She can serve 5 wings and 4 burgers, she can serve 6 wings and 2 burger or she can serve 7 wings.

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The height of the building is 5.33m.

The question is to calculate the height of the building.

Based on the information given, the height will be:

Madeline eye height/Distance from X = Height of building/Building distance from X

1.55/2.75 = x/9.45

x = (1.55 × 9.45)/2.75

x = 5.33 m

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The simplified value of the expression\(\sqrt{ ((2^3 * 64^(1/2) + 1176 + (3^2)^3 + (11 * 3)^1) - 153) }\) is 43.

Given expression: \(\sqrt{(2^3 * 64^(1/2) + 1176 + (3^2)^3 + (11 * 3)^1) - 153)}\)

Step 1: Evaluate the exponentiations.

\(2^3 = 8\) and \(3^2 = 9.\)

The expression becomes: \(\sqrt{((8 * 64^(1/2) + 1176 + 9^3 + (11 * 3)^1) - 153)\\}\)

Step 2: Simplify the square root.

\(64^{(1/2)\) is the square root of 64, which is 8.

The expression becomes: \(\sqrt{((8 * 8 + 1176 + 9^3 + (11 * 3)^1) - 153)}\)

Step 3: Evaluate the multiplications and additions.

8 * 8 = 64, \(9^3\) = 729, and 11 * 3 = 33.

The expression becomes: \(\sqrt{(64 + 1176 + 729 + 33 - 153)\\}\)

Step 4: Perform addition and subtraction.

64 + 1176 + 729 + 33 - 153 = 1849

Step 5: Take the square root of the result.

\(\sqrt{1849\\}\) = 43

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P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

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Answer:

Step-by-step explanation:

Answer:

-4(2a + 3)

= -4a(2) -4(3)

= - 8a - 12

Hope it helps!

Step-by-step explanation:

-4(2a + 3)

= -4 × 2a + 3 × (-4) [-4 gets multiplied with both 2a and 3]

= -8a -12 (Ans)

Answer:

2 or 2/1

Step-by-step explanation:

For every cup of water there is 1 cup of water. As seen in the ration 6:12 (reduced to 1:2) and 1/2:1 (increased to the whole number of 1:2)

Yes, its true that the questionnaire is very carefully constructed by an individual to provide the measurement instrument.  

A questionnaire is a studies device which includes a sequence of questions for the motive of amassing facts from respondents. Questionnaires may be concept of as a form of written interview. A questionnaire is a listing of questions or gadgets used to collect facts from respondents approximately their attitudes, experiences, or opinions.

Questionnaires may be used to acquire quantitative and/or qualitative facts. Questionnaires are generally utilized in marketplace studies in addition to withinside the social and fitness sciences. Questionnaires are typically taken into consideration to be excessive in reliability. This is due to the fact it's miles feasible to invite a uniform set of questions. Any troubles withinside the layout of the survey may be ironed out after a pilot study. The greater closed questions used, the greater dependable the studies.

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Answer:

I think it’s  28.3

Step-by-step explanation:

Sorry If I’m wrong

Answer:

A summary of data that shows the number of observations in each of several non-overlapping bins is called a histogram.

A histogram is a graph used to visualize the distribution of a dataset. The x-axis represents the different ranges of the data being observed, which are usually called bins. The y-axis displays the frequency or count of data values that fall into each bin.

The shape of a histogram can provide valuable insights into the underlying data distribution. For example, if a histogram is bell-shaped, it indicates that the data follows a normal distribution, which is a symmetrical distribution with most values clustered around the mean. If a histogram is skewed to the left, the data has a long tail on the left-hand side and is concentrated on the right-hand side. If a histogram is skewed to the right, the data has a long tail on the right-hand side and is concentrated on the left-hand side. In conclusion, a histogram is a useful tool for summarizing data and providing insights into its distribution.

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False. Null and alternative hypothesis are not statements about descriptive statistics.

Null and alternative hypothesis are fundamental concepts in hypothesis testing, a statistical method used to make inferences about population parameters based on sample data. These hypothesis are not directly related to descriptive statistics, which involve summarizing and describing data using measures such as mean, median, standard deviation, etc.

The null hypothesis (H0) represents the default or no-difference assumption in hypothesis testing. It states that there is no significant difference or relationship between variables or groups in the population. On the other hand, the alternative hypothesis (H1 or Ha) proposes that there is a significant difference or relationship.

Both null and alternative hypotheses are formulated based on the research question or objective of the study. They are typically stated in terms of population parameters or characteristics, such as means, proportions, correlations, etc. The aim of hypothesis testing is to gather evidence from the sample data to either reject the null hypothesis in favor of the alternative hypothesis or fail to reject the null hypothesis due to insufficient evidence.

Finally, null and alternative hypotheses are not statements about descriptive statistics. Rather, they are statements about population parameters and reflect the purpose of hypothesis testing in making statistical inferences.

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Answer:

Y-intercept is 4

Step-by-step explanation:

due to X and Y lines it would be 4 lol

Have a good day

Answer:

It is 4

Step-by-step explanation:

The line intercepts the y axis at 4

Mark me as brainliest

Answer:

The answer is 150 cards.

The explanation is shown in the picture.

I hope this helps!

Answer:

Joseph has 150 cards

false                                               dsddsfsdfsfdfdsfdsdfsdfsdsfdfsfdsdfsdfsdfsfdsfd

Given:

To Determine: The average rate of change of T with respect to a over the interval of 24000 and 30000

Solution

Let us determine the value of a at the interval given

Let us determine the value of T at the given interval using the values of a

The rate of change would be

Hence, the rate of change of T with respect to a is -46.512 seconds per 1000ft

This is why because

The correct answer is: The IQR of 13 is the most accurate to use, since the data is skewed. (Option B).

The correct answer is: Together, Streetcar and Cable Car are the preferred transportation for 168 residents. (Option A).

The correct answer is: The IQR is the best measure of variability, and it equals 6.

1. Since the data is skewed, it is not appropriate to use the range as a measure of variability. The range is sensitive to extreme values and can be misleading in skewed data. The interquartile range (IQR) is a better measure of variability for skewed data since it is not affected by extreme values. Therefore, the charity should use the IQR of 13 as the measure of variability for this data.

2. From the circle graph, we can draw the following conclusion:

Together, Streetcar and Cable Car are the preferred transportation for 27% + 15% = 42% of the residents. 42% of 400 is 168 residents.

3. The line plot shows that the data is discrete and not continuous. Also, the data is not normally distributed and is skewed. Therefore, the range is not an appropriate measure of variability. The interquartile range (IQR) is a better measure of variability for skewed data. The IQR is the difference between the 75th percentile (Q3) and the 25th percentile (Q1) of the data.

From the plot, we can see that Q1 is 2 and Q3 is 8. Therefore, the IQR is 8 - 2 = 6.

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The expression "x - y + z" can be simplified and rearranged using the associative property and commutative property of addition. Let's break it down step by step:

1. x - y + z

According to the associative property of addition, the grouping of terms does not affect the result when only addition and subtraction are involved. Therefore, we can choose to group "y" and "z" together:

2. x + (-y + z)

Next, using the commutative property of addition, we can rearrange the terms "-y + z" as "z + (-y)":

3. x + (z + (-y))

Now, we have the expression "x + (z + (-y))". According to the associative property of addition, we can group "x" and "z + (-y)" together:

4. (x + z) + (-y)

Finally, we can rewrite the expression as "(x + z) - y", which is equivalent to "(x - y) + z":

5. (x + z) + (-y) = (x - y) + z

Therefore, "x - y + z" is indeed the same as both "x - (y + z)" and "(x - y) + z" due to the associative and commutative properties of addition.

Answer:

slope: 3/2, y-intercept: (0,1/2)

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Answer:

36.87° and 53.13°

Step-by-step explanation:

the legs of the right triangle are 3 and 4 and the hypotenuse is 5

tan x = 3/4

x = arctan (3/4)

  = 36.87° =  measure on one acute angle

90 - 36.87 = 53.13° = measure of the other acute angle

Answer:

This is what I got for this question but if I did it wrong I'm sorry

Step-by-step explanation:

Formula- c^2 < a^2 + b^2

3^2 + 4^2 5^2

9+16= 25 25

The solution to the system of equations that are represented by the table given is: (-1, 6).

Recall:

Solution to a system of equations that is represented by a table is the value of x that will give the same value of y for each linear equation.

Thus, from the table given, when x = -1, the values of y1 and y2 equals 6. This represents the solution of the system of equations.

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Answer:

The answer is ≈3 to the nearest whole number

Step-by-step explanation:

using SOH CAH TOA

BCA

sin0=opp/hyp

sin0=7.9/11

0=sin‐¹(7.9/11)

0=46 to the nearest degree

<A=<D

so,<EDF=46°

tan0=adj/hyp

tan46=x/3.3

x=tan46×3.3

x=3 to the nearest whole number