Answer:
the second one.
Step-by-step explanation:
the sum of the interior and exterior angels are 360°
a survey among tenants of shared apartments asked each tenant what percentage of the cleaning around the apartment he or she does. the survey found that aggregating the percentages for each apartment produces an average of much more than 100%. this result may be due to what bias?
The result of an average of more than 100% in a survey of tenants on cleaning chores in shared apartments is likely due to social desirability bias.
The average tenant response of more than 100% in a study about cleaning duties in shared apartments is probably the product of social desirability bias. Social desirability bias occurs when respondents give answers that they think are socially acceptable or desirable, rather than their true opinions or behavior.
In this case, tenants may have overstated their contribution to cleaning the apartment, in order to appear more helpful or responsible, leading to an average percentage higher than 100%.
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test the hypothesis that the mean weight of the two sheets is equal (μ1−μ2)against the alternative that it is not (and assume equal variances). find the t-stat to 3 decimal places.
To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:
t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))
where:
x1 and x2 are the sample means of the two sheets,
s_p is the pooled standard deviation,
n1 and n2 are the sample sizes.
The pooled standard deviation (s_p) can be calculated using the following formula:
s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))
where:
s1 and s2 are the sample standard deviations.
To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.
Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.
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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.
The t-statistic for a paired t-test is calculated as follows:
t = (X1 - X2) / (s / √n)
where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.
Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.
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Can someone
help me solve this plz
Write 0.334 (four is repeating) as a fraction. Show your work.
Answer:
\(\frac{167}{500}\)
Step-by-step explanation:
Write 0.334 as \(\frac{0.334}{1}\)
Multiply both numerator and denominator by 10 for every number after the decimal point
\(\frac{0.334 }{1}\) x 1000
\(\frac{334}{1000}\)
Reducing the fraction gives \(\frac{167}{500}\)
Charles rode his bike 19 miles each week while training. here is his record of the number of miles he rode. charles rode 1.6 miles more on thursday than on tuesday. find the number of miles he rode on tuesday and thursday.
After calculating the equation, Charles rode 8.7 miles on Tuesday and 10.3 miles on Thursday.
Based on the given information, Charles rode his bike 19 miles each week while training. We need to find the number of miles he rode on Tuesday and Thursday.
Let's start by setting up an equation to represent the information given in the problem.
Let's say the number of miles Charles rode on Tuesday is x. According to the problem, Charles rode 1.6 miles more on Thursday than on Tuesday. So, the number of miles Charles rode on Thursday is x + 1.6.
The problem states that Charles rode a total of 19 miles each week. Therefore, we can write the equation:
x + (x + 1.6) = 19
Now, let's solve this equation to find the values of x and x + 1.6.
Combining like terms:
2x + 1.6 = 19
Subtracting 1.6 from both sides:
2x = 17.4
Dividing both sides by 2:
x = 8.7
So, Charles rode approximately 8.7 miles on Tuesday.
To find the number of miles Charles rode on Thursday, we substitute x = 8.7 into the equation:
x + 1.6 = 8.7 + 1.6 = 10.3
Therefore, Charles rode approximately 10.3 miles on Thursday.
In conclusion, Charles rode approximately 8.7 miles on Tuesday and 10.3 miles on Thursday.
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to use a normal distribution to approximate binomial probabilities, why do we require that both and be at least ?
To use a normal distribution to approximate binomial probabilities, we require that both n and p be at least 5. To use a normal distribution to approximate binomial probabilities, we require that both n and p be at least 5.
The binomial distribution can only be approximated by a normal distribution when the sample size is sufficiently large. According to the central limit theorem, the distribution of a large number of samples from any population with a finite mean and finite variance will be approximately normal.
Here are some of the reasons why we need to follow this condition:
Accuracy of approximation of binomial probabilities: The normal approximation of the binomial distribution is more accurate when n and p are both greater than 5.
The greater the values of n and p, the closer the normal distribution will be to the actual binomial distribution.
Normal distribution properties: In a normal distribution, the mean and variance are well-defined.
As a result, we require that n and p be at least 5 to ensure that the mean and variance of the binomial distribution are well-defined. Appropriateness of the normal distribution: The normal distribution is suitable when both the mean and variance are known. The mean and variance are well defined when n and p are both greater than 5.
Therefore, we require that n and p are both greater than 5 to ensure that the normal distribution is appropriate.
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Name the slope and one point or
y-1=2(x+3)
Q
(__)
=_
m=
Answer: M=2
y-intercept = (0,7)
x-intercept = (-7/2,0)
Step-by-step explanation:
The slope is already given in the equation, which is 2
M=2
y-intercept = (0,7)
x-intercept = (-7/2,0)
I need an answer really quick.
Answer:
Switch to the other streaming service
Step-by-step explanation:
So, 96$ with a 12% increase is $107.52.
But if you do 8.75×12 you get $105.
So Clare should switch to the other music stream.
If the forecast for two consecutive periods is 1,500 and 1,400 and the actual demand is 1,200 and 1,500 , then the mean absolute deviation is 1) 500 2) 700 3) 200 4) 100
200 is the mean absolute deviation. Therefore, choice three (200) is the right one.
How to calculate the mean absolute deviation
The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.
Forecasted values are as follows: 1,500 and 1,400
Values in actuality: 1,200 and 1,500
Absolute differences:
|1,500 - 1,200| = 300
|1,400 - 1,500| = 100
Now, we calculate the MAD:
MAD = (300 + 100) / 2 = 400 / 2 = 200
Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.
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if a plane gains 2000ft in altitude over a distance of 14000 horizontal ft , what is the slope? explain what this value means in the context of the problem. express numbers as integers or simplified fractions.
The slope of the plane's altitude gain is 1/7.
The slope of the plane's altitude gain can be calculated using the formula: slope = rise / run, where rise is the change in altitude and run is the horizontal distance covered.
In this case, the rise is 2000ft and the run is 14000ft. Therefore, the slope of the plane's altitude gain is:
slope = 2000 / 14000
slope = 1/7
This means that for every 7 units of horizontal distance covered by the plane, it gains 1 unit of altitude. In other words, the slope represents the steepness of the plane's climb. A slope of 1/7 indicates a relatively gentle climb compared to a steeper slope.
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f(x,y,z) = x/(y z) (8,1,3)
To find the value of f(8, 1, 3), simply substitute x with 8, y with 1, and z with 3 in the equation f(x, y, z) = x/(y × z): f(8, 1, 3) = 8/(1 × 3) = 8/3
The question that you have mentioned above is an expression that needs to be solved. The expression is: f(x, y, z) = x / (y × z) (8, 1, 3) Now, we will substitute the given values of x, y, and z in the expression: f(x, y, z) = x / (y × z) (8, 1, 3)= 8 / (1 × 3) = 8 / 3 Therefore, the value of the expression f(x, y, z) = x / (y × z) (8, 1, 3) is 8/3.
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when a researcher uses the pearson product moment correlation, two highly correlated variables will appear on a scatter diagram as what?
When a researcher uses the Pearson product-moment correlation, two highly correlated variables will appear on a scatter diagram as a tightly clustered group of points that form a linear pattern.
The scatter diagram is a visual representation of the correlation between two variables, where one variable is plotted on the x-axis, and the other variable is plotted on the y-axis. If the two variables have a high positive correlation, then the points on the scatter diagram will form a cluster that slopes upwards to the right.
On the other hand, if the two variables have a high negative correlation, then the points will form a cluster that slopes downwards to the right. The tighter the cluster of points, the higher the correlation between the variables.
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22 points for doing this
Answer:
The correct answer is D. -8<535
Step-by-step explanation:
In a math perspective, -8 < 535. Done
Otherwise, the elevations of the lowest and highest points start from below sea levels up to land and so on. Since negative numbers here are feet below the sea level, we went from New Orleans up. So D.
To surf the internet for 15 minutes at an airport, it costs $4.05. For 40 minutes, it costs $5.80.
Write and solve a linear equation to find the cost for surfing the web for one hour.
Answer:
$7.20
Step-by-step explanation:
The linear equation is y= 0.07x + 5.1.
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
For 15 minutes, costs= $4.05
For 40 minutes, costs= $5.80
slope of the linear equation
slope= \((y_2- y_1)/ (x_2- x_1)\)
slope= (5.80- 4.05)/(40-15)
slope= 1.75/25
slope= 175/ 25 x 100
slope= 7/100
slope= 0.07
and, the linear equation
y- 4.05= 0.07(x- 15)
y- 4.05= 0.07x - 1.05
y= 0.07x + 5.1
Hence, the linear equation is y= 0.07x + 5.1.
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Part A: Danny determines that sides DE and BA are congruent. He also determines that
TheoremThe SAS Theorm prove that 2 triangles are congruent using 2 sides and the including angles between the sides
In triangles ABC and EDK
AB = DE have the same length
AC = EK have the same length
Then the two triangles are congruent using the SAS Theorem
Danny is correct
Part B:
Since AB = 5 units and ED = 5 units
Then AB = ED
Since AC = 7 units and EK = 7 units
Then AC = EK
Since right angles
Then the 2 triangles are congruent using SAS Theorem
Provided below are summary statistics for independent simple random samples from two populations. Use the nonpooled t-test and the nonpooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. x1 8, S1 6, n125, x210, s2 4, n2 25 a. Two-tailed test, ?-0.05 b, 95% confidence interval a. What are the hypotheses for the t-test? Find the test statistic. tRound to three decimal places as needed.) Find the critical values. /2(Round to three decimal places as needed.)
a. The hypotheses for the t-test are:
Null hypothesis (H0): μ1 = μ2 (the means of the two populations are equal)
Alternative hypothesis (Ha): μ1 ≠ μ2 (the means of the two populations are not equal)
The test statistic is t = (x1 - x2) / sqrt((S1^2 / n1) + (S2^2 / n2))
b. The 95% confidence interval is calculated using the formula:
CI = (x1 - x2) ± t*sqrt((S1^2 / n1) + (S2^2 / n2))
a. For the t-test, we have two independent random samples. The null hypothesis assumes that the means of the two populations are equal, while the alternative hypothesis assumes they are not equal.
The test statistic is calculated by subtracting the sample means (x1 and x2) and dividing it by the standard error, which is the square root of [(S1^2 / n1) + (S2^2 / n2)]. In this case, the test statistic t can be computed using the given values.
b. To find the critical values for a two-tailed test with a significance level of α = 0.05, we need to divide the significance level by 2 to get α/2 = 0.025. With the degrees of freedom calculated as df = n1 + n2 - 2, we can use a t-distribution table or statistical software to find the critical values corresponding to α/2 and df. These critical values will determine the rejection regions for the two tails of the distribution.
For the confidence interval, the formula is similar to the test statistic, but instead of dividing by the standard error, we multiply it by a critical value (t*) corresponding to the desired confidence level. In this case, we need to find the t* value for a 95% confidence level and df degrees of freedom.
Once obtained, the confidence interval can be calculated by subtracting and adding the product of t* and the standard error from the difference between the sample means (x1 - x2).
Remember to round the test statistic and critical values to three decimal places as needed.
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What a possilbe solution to 4x > 24
Answer:
x = 7, 8, 9, And any other number above 6.
Step-by-step explanation:
4x > 24
4(5) > 24
20 > 24(Incorrect)
4x > 24
4(6) > 24
24 > 24 (Incorrect.)
Anything lower than 6 is going to make the statement false.
4x > 24
4(7) > 24
28 > 24 (Correct)
4x > 24
4(8) > 24
32 > 24 (Correct)
4x > 24
4(9) > 24
36 > 24 (Correct)
Any number higher than 6 will make this statement true.
You purchase a computer for $875.00 plus 5% sales tax.
You decide to finance it through the store's 0% program for 12 months. The terms state you pay nothing until the 12 months are over. When you receive the
bill, you forget to pay it and are assessed a late fee of $39.00 plus the interest accrued to that point at 14.25% APR. How much interest will you be charged?
O $130.25
• $130.92
O $136.48
O $124.69
You will be required to pay $130.92 in interest. So, option 2 is correct.
What is meant by interest?Simple interest is calculated using the following formula: Simple Interest (SI) is calculated as P R T / 100. P stands for the principal sum, R for the interest rate, and T for the interest period. The total amount due is the sum of the principal plus the simple interest, or P + SI.
This specific percentage represents the loan's interest rate. The cost of borrowing money is called interest, and it is usually expressed as a percentage, such as an annual percentage rate (APR). Interest may be paid to lenders for the use of their money.
You shell out $875.00 for a PC plus 5% sales tax.
Thus, the final price is 875+(0.05875)
= $918.75.
Rate per month: 14.25/12/100
= 0.011875
So, the rate for a year is 12 x 0.011875
=$130.92.
Therefore, you will be required to pay $130.92 in interest.
Hence, option 2 is correct.
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according to the text, the first step in the sampling design process is to determine the sample sizeT/F
The statement "the first step in the sampling design process is to determine the sample size" is false because according to the text, the first step in the sampling design process is to clearly define the target population.
The first step in the sampling design process is typically to define the target population and the research objectives.
This involves specifying the characteristics of the population under study and identifying the specific research questions or objectives that the sampling will address.
Once the target population and research objectives are established, the next steps in the sampling design process typically involve determining the appropriate sampling method (such as random sampling, stratified sampling, or cluster sampling) and selecting the sampling frame (the list or source from which the sample will be drawn).
After these initial steps, researchers can then consider factors such as the desired level of precision, confidence level, and variability in the population to determine the appropriate sample size.
The determination of the sample size usually comes after clarifying the research objectives and selecting the appropriate sampling method.
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how does attitude, beliefs and knowledge impact how a teacher delivers a lesson
Attitude, beliefs, and knowledge shape a teacher's delivery: attitude affects engagement, beliefs influence instructional decisions, and knowledge enables effective communication and learning facilitation.
Attitude, beliefs, and knowledge play crucial roles in shaping how a teacher delivers a lesson. Here's a detailed explanation of their impacts:
Attitude:
Attitude refers to a teacher's mindset, emotions, and approach towards teaching. A positive attitude fosters enthusiasm, motivation, and a genuine passion for the subject matter. This translates into an engaging and dynamic teaching style, creating an environment conducive to learning. Conversely, a negative attitude can lead to disinterest, lack of enthusiasm, and a disengaged teaching approach, which can hinder students' engagement and comprehension.
Beliefs:
A teacher's beliefs influence their instructional decisions and pedagogical strategies. Beliefs about students' capabilities, learning styles, and the purpose of education can shape the teacher's approach to delivering a lesson. For example, if a teacher believes that all students have the potential to succeed, they may employ differentiated instruction techniques to cater to diverse learning needs. Conversely, if a teacher holds limiting beliefs about students' abilities, they may adopt a one-size-fits-all approach, which may hinder student progress.
Knowledge:
A teacher's knowledge encompasses both subject matter expertise and pedagogical content knowledge. Profound knowledge of the subject allows a teacher to effectively structure and present the lesson, answer student queries, and provide relevant examples. Pedagogical content knowledge helps in selecting appropriate instructional strategies, adapting to student needs, and assessing learning effectively. Without a strong knowledge base, a teacher may struggle to deliver accurate information, engage students, or address misconceptions.
Collectively, attitude, beliefs, and knowledge significantly impact a teacher's delivery of a lesson. A positive attitude enhances student motivation and engagement. Strong beliefs in students' potential and individualized instruction foster a supportive learning environment. Adequate subject knowledge and pedagogical skills enable effective communication and facilitate meaningful learning experiences. By combining these elements, teachers can create an impactful and effective learning environment that nurtures student growth and achievement.
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solve the equation
x²+4x-7=0
using completing the square
The solutions of the quadratic equation are x = -2 ± √11
How to solve the quadratic equation?Here we have the quadratic equation:
x²+4x-7=0
We want to solve this by completing squares, so let's do that.
Remember that (a + b)² = a² + 2ab + b²
We can rewrite our equation as:
x² + 2*2*x - 7 = 0
Now we can add 2² in both sides:
x² + 2*2*x + 2² - 7 = 2²
x² + 2*2*x + 4 - 7 = 4
(x + 2)² = 4 + 7
(x + 2)² = 11
x + 2 = ±√11
x = -2 ± √11
These are the solutions.
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Maximize p = 6x + 9y + 3. 3z + 12w subject to
(a) 1. 2x + y + z + w ≤ 121. 5
(b) 2. 2x + y − z − w ≥ 30
(c) 1. 2x + y + z + 1. 2w ≥ 31. 5
(d) x ≥ 0, y ≥ 0, z ≥ 0, w ≥ 0.
Round all answers to two decimal places
The maximum value of p is 107.09 and it is obtained when x = 1.44, y = 31.02, z = 0, and w = 0.
To maximize the objective function p = 6x + 9y + 3.3z + 12w
We can use the simplex method.
First, we need to convert the inequalities into equalities by introducing slack variables:
(a) 1.2x + y + z + w + s1 = 121.5
(b) 2x + y − z − w + s2 = 30
(c) 2x + y + z + 1.2w + s3 = 31.5
We can then write the augmented matrix for the problem:
x y z w s1 s2 s3 b
1.2 1 1 1 1 0 0 121.5
2 1 -1 -1 0 1 0 30
2 1 1 1 0 0 1 31.5
-6 -9 -3.3 -12 0 0 0 0
We choose the most negative coefficient in the bottom row, which is -12. We then select the pivot element in the column corresponding to this coefficient, which is 121.5 in the first row. We perform row operations to make this pivot element equal to 1 and all other elements in its column equal to 0:
x y z w s1 s2 s3 b
1 0.83 0.17 0.33 0.67 -0.50 -0.17 100.67
0 0.17 -1.33 -1.33 -0.83 0.50 -0.17 12.33
0 0.17 0.33 0.33 -0.67 -0.50 0.83 10.17
0 -6.50 -12.90 -12.00 4.00 4.50 1.00 408.00
Next, we choose the most negative coefficient in the bottom row, which is -12.9. We select the pivot element in the column corresponding to this coefficient, which is 0.33 in the third row. We perform row operations to make this pivot element equal to 1 and all other elements in its column equal to 0:
x y z w s1 s2 s3 b
1 0.00 0.85 0.40 1.44 -0.54 -0.08 107.09
0 0.00 -1.22 -1.67 -1.00 0.38 0.08 -12.93
0 1.00 2.45 2.33 -2.00 1.50 0.33 31.02
0 0.00 -2.19 -5.60 10.00 10.50 1.83 630.00
The objective function value at this point is p = 107.09.
The solution is x = 1.44, y = 31.02, z = 0, w = 0, and the maximum value of p is 107.09.
Therefore, the maximum value of p is 107.09, when x = 1.44, y = 31.02, z = 0, and w = 0.
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Find the total distance traveled by a particle according to the velocity function wt) = 3t - 9 m/sec over the time interval
[1, 5]. Enter your answer as an exact fraction, if necessary. Do not include units in your answer.
The total distance traveled by the particle over the time interval [1, 5] is 12 units.
To find the total distance traveled, we need to consider both the magnitude and direction of the velocity function. Since the velocity function given is in meters per second (m/sec), the total distance traveled will be measured in meters.
To calculate the total distance, we need to consider the intervals where the velocity function changes its sign. In this case, the velocity function is linear and increasing, starting at t = 1 with a velocity of 3 m/sec. From t = 1 to t = 3, the particle moves in the positive direction, covering a distance of (3t - 9) × (t - 1) = 12 units. From t = 3 to t = 5, the particle moves in the negative direction with the same magnitude, covering a distance of (-1) × (3t - 9) × (t - 3) = 12 unit
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What is the size of x when the opposite is 4.9 the hypotenuse is 7.2 i need to work out x which is where it meets with the hypotenuse and adjacent?
Answer:
Step-by-step explanation:
10
A car travelled a distance of 50km in an hour. What distance did it travel in 30minutes?
8(90x6)+9(7+4) and it hard for me bec i in the 3-4 grade
Answer:
720\(x^{6}\)+99
Step-by-step explanation:
Quantitative Problem 1t You deposit \( \$ 2,300 \) into an account that pays \( 6 \% \) per year. Your plan is to withdraw this amount at the end of 5 years to use for a down payment on a new car. How
You will be able to withdraw approximately $3,076.32 at the end of 5 years.
To calculate the amount you will be able to withdraw at the end of 5 years, we can use the future value formula for compound interest.
The formula for calculating the future value (FV) of a present value (PV) invested at an annual interest rate (r) for a certain number of years (t) is:
\(FV = PV * (1 + r)^t\)
Given:
PV = $2,300
r = 6% = 0.06 (decimal representation)
t = 5 years
Substituting these values into the formula, we get:
FV = $2,300 * \((1 + 0.06)^5\)
Calculating the expression inside the parentheses:
\((1 + 0.06)^5 = 1.338225\)
Multiplying the present value by this factor:
FV = $2,300 * 1.338225
FV ≈ $3,076.32
Therefore, you will be able to withdraw approximately $3,076.32 at the end of 5 years.
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You deposit $2,300 into an account that pays 6% per year. Your plan is to withdraw this amount at the end of 5 years to use for a down payment on a new car. How much will you be able to withdraw at the end of 5 years? Do not round intermediate calculations. Round your answer to the nearest cent
Please calculate P(3, 2)
ASAP
P(3,2) represents the number of permutations of 2 objects that can be chosen from a set of 3 distinct objects.Hence, there are 6 permutations of 2 objects that can be chosen from a set of 3 distinct objects.
Calculating Permutations using the P(n,k) Formula: An Example with P(3,2)
Permutations refer to the number of arrangements or orders in which a set of objects can be arranged. In the case of P(3,2), we are choosing 2 objects from a set of 3 distinct objects, and we want to know the number of different ways these 2 objects can be arranged.
To calculate the number of permutations, we use the formula
P(n,k) = n! / (n-k)!, where n is the total number of objects in the set, and k is the number of objects we are choosing.
In this case, n = 3 (since we have a set of 3 objects) and k = 2 (since we are choosing 2 objects).
So, using the formula, we get:
P(3,2) = 3! / (3-2)! = 3! / 1! = 3 x 2 x 1 / 1 = 6
This tells us that there are 6 different ways to choose 2 objects from a set of 3 distinct objects, where the order in which we choose the objects matters.
To visualize this, let's list all the possible permutations of 2 objects that can be chosen from the set {A, B, C}:
AB, AC, BA, BC, CA, CB
As we can see, there are 6 possible permutations, which matches the result we got from the formula.
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Complete question:
Calculate P(3, 2) and explain what does it represents?
you know that your height is 5 ft 3 in. a friend measures you three times and gets these results: 5 ft 10 in, 5 ft 9.5 in, and 5 ft 10.5 in. how can these measurements be explained
The measurements can be explained as low accuracy and high precision.
Accuracy is how close or far off a given set of measurements are to their true value.
Precision is how close or dispersed the measurements are to each other.
Given,
His height = 5 feet 3 inches
Friend measures you three times and gets these results =5 ft 10 in, 5 ft 9.5 in and 5 ft 10.5 in
Here, the measurements are closely dispersed but the measurements are far from actual measurement.
Hence, the measurements can be explained as low accuracy and high precision.
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Work out the mean for the data set below 4,3,5,5,4,4,3,2 give your answer as a fraction