Answer:
42 units squared
Since we are looking for area, we multiply Length x Width
12 x 7 = 84
Now we divide by two, since we are looking for 1/2 of the triangle's area.
84 / 2 = 42
Our final answer is 42 units squared
Please help!
Rebecca has twice as much money as Rachel. If Rebecca gives Rachel $60, then the two of them will have the same amount of money. How much money did Rebecca have originally?
A.
B.
C.
D.
E.
Answer:
Rebecca originally had 240 dollars.
Step-by-step explanation:
Let's set B as Rebecca's money and C as Rachel's.
Rebecca has twice as much money as Rachel
B = 2C
If Rebecca gives Rachel $60, then the two of them will have the same amount of money
B - $60 = C + $60
let's combine the 2 by subtracting the second from the first
B - (B - $60) = 2C - (C + $60)
$60 = C - $60
$120 = C
so Rachel had 120 dollars.
Rebecca had twice as much, so 240 dollars.
If Rebecca gives $60 to Rachel, they have $180 each. Everything checks out.
: A satellite system consists of 4 components and can operate adequately if at least 2 of the 4 components are functional. If each component is, independently, functional with probability 0.6, what is the probability that the system operates adequately
The probability that the satellite system operates adequately is 0.7056.
The probability that a component is not functional is 0.4. Therefore, the probability that a component is functional is 1-0.4=0.6.
Using the rule of combinations, there are 6 possible combinations of functional and non-functional components:
1. All 4 components are functional: (0.6)^4=0.1296
2. 3 components are functional: (0.6)^3(0.4)=0.3456
3. 2 components are functional: (0.6)^2(0.4)^2=0.2304
4. 1 component is functional: (0.6)(0.4)^3=0.0256
5. No components are functional: (0.4)^4=0.0256
6. At least 2 components are functional: P(2 or 3 or 4) = 0.1296 + 0.3456 + 0.2304 = 0.7056
Therefore, the probability that the satellite system operates adequately is 0.7056.
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Gabriella needs 120 meters of fence to surround a rectangular garden.
the length of the garden is three times its width, w.
how wide is the fence?
(please solve how the answer is formatted, i already looked at the other posts people made on this question and they did not help)
Answer is 15 meters
To solve this problem, we can use the formula for the perimeter of a rectangle, which is
P = 2l + 2w,
where P is the perimeter, l is the length, and w is the width.
We are given that Gabriella needs 120 meters of fence, which means that
P = 120.
We are also given that the length of the garden is three times its width, or
l = 3w.
Substituting these values into the formula, we get:
120 = 2(3w) + 2w
Simplifying this equation, we get:
120 = 8w
Dividing both sides by 8, we get:
w = 15
Therefore, the width of the garden is 15 meters.
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What is order of magnitude?
The magnitude of the number of the minutes in the school is 2.
What magnitude is 0 in?Although the order of magnitude of zero is not specified, it is occasionally stated to have a magnitude of. Zero is less than any other positive number, and so is its order of magnitude, according to this infinitely negative order of magnitude.
Can a magnitude order be negative?There can be no negative magnitude. The component of the vector that lacks direction is its length (positive or negative).
The order of magnitude is the approximate representation of the logarithmic of the order's value and is typically considered to be 10 taken as the base.
On a scale of 10 logarithmic, the difference in the order of magnitude can be quantified.
The value storage is where you may find the number into the various magnetic.
As a result, the number of minutes spent in school is 2.
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Complete question -
What is the Order of Magnitude of the number of minutes in a school day?
Is this the right answer?
Answer:
Hello!
Number 2 and 4 is wrong, other than that everything else is all good.
\(2)\) \(6x^4 - 12x^5 + 90x^1^{3}\)
The Greatest common factor is 6x^4.
The GCF needs to have the smallest exponent from the variables.
The correct answer should be 6x^4 ( 1 - 2x + 15x^9)
\(4)\) \(x^2 - 36\)
x (x - 36) is wrong because if we use the distributive property, the answer would be x^2 - 36x. Notice that there shouldn't be a variable multiplying 36.
The correct answer would be (x - 6)(x + 6)
x^2 + 6x - 6x - 36
x^2 - 36.
Hope this helps!
A man on the deck of a ship observes that the angle of elevation on the top of the cliff is 40° find the distance between the man and the cliff if the cliff is 50 m high
Option A) 59.6 is correct.
How to calculate Distance?
Using the distance formula: This method is also used to find the distance between two points in a plane. The formula is: distance = √((x2 - x1)² + (y2 - y1)²)
To find the distance between the man and the cliff, we can use trigonometry. We know that the angle of elevation is 40° and the height of the cliff is 50 m. We can use the tangent function to find the distance.
distance = (height of cliff) / (tangent of angle of elevation)
distance = 50 m / (tan 40°)
distance = 50 m / 0.8391
distance = 59.6 m
So, the distance between the man and the cliff is approximately 59.6 meters.
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Determine whether the integral is convergent or divergent. ∫ e[infinity]x(lnx) 3 13dx convergent divergent If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.)
we cannot determine if it converges or diverges analytically.
I assume you are asking about the integral of \(e^(xlnx)\) from 3 to 13. To determine whether the integral is convergent or divergent, we can follow these steps:
1. Write the integral: ∫(3 to 13)\(e^(xlnx) dx\)
2. Apply integration by parts: Let u = ln(x) and dv =\(e^(xlnx) dx\)
3. Differentiate u and integrate dv: du = (1/x) dx, v = ∫ \(e^(xlnx) dx\)
4. Apply integration by parts again to find v: Let u1 = x and dv1 = \(e^(xlnx) dx\)
5. Differentiate u1 and integrate dv1: du1 = dx, v1 = ∫ \(e^(xlnx) dx\)
6. Now, we have the following equation: v = xv1 - ∫ v1 du1
Unfortunately, the integral of\(e^(xlnx) dx\) does not have a closed-form solution in terms of elementary functions. Therefore, we cannot determine if it converges or diverges analytically.
In this case, you may need to resort to numerical methods or approximations to evaluate the integral and determine its convergence or divergence.
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Do you know this?
❤️You are beautiful❤️
You are handsome
You are special
You are great
You are kind
You are cute
You are the best
Thanks for living
Thanks for the memories
Thanks for your happiness
Thanks for being happy
Thanks for being honest
Please live for me
Please love yourself for me
⚡️Please be happy for me⚡️
✨Please be safe for me✨
EVERYTHING'S GONNA BE ALRIGHT. YOU'RE DOING GREAT!
2% Of A=3% OF B = 4% of c then A:B:C: is?
Answer:
6:4:3.....................
The ratio between A, B, and C is 6:4:3.
To determine the ratio between A, B, and C based on the given information, we can set up the following equations:
2% of A = 3% of B
4% of C = 3% of B
Let's solve for the variables and find the ratio:
First equation: 2% of A = 3% of B
0.02A = 0.03B
A/B = 0.03/0.02
A/B = 1.5
Second equation: 4% of C = 3% of B
0.04C = 0.03B
C/B = 0.03/0.04
C/B = 0.75
Now, let's express the ratio A:B:C based on the ratios we found:
A:B = 1.5:1
B:C = 1:0.75
To obtain a common ratio, we can multiply both ratios by 4:
A:B = 6:4
B:C = 4:3
Combining these ratios, we have:
A:B:C = 6:4:3
Therefore, the ratio between A, B, and C is 6:4:3.
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Determine the value of the arbitrary constant of the antriderivative of F(x)= x²n(x) given the initial value x=7.15 and y = 2.21. (Use 2 decimal places)
The value of the arbitrary constant of the antiderivative of F(x) = x²n(x) with initial value x = 7.15 and y = 2.21 is 2.61.
To determine the value of the arbitrary constant of the antiderivative of F(x) = x²n(x) with initial value x = 7.15 and y = 2.21, we first need to find the antiderivative of F(x).
The antiderivative of x²n(x) is given by ∫x²n(x)dx = (1/(2n+3))x^(2n+3) + C, where C is the constant of integration.
To find the value of C, we can use the initial value given in the problem, which is x = 7.15 and y = 2.21.
Substituting x = 7.15 and y = 2.21 in the antiderivative expression, we get:
2.21 = (1/(2n+3))(7.15)^(2n+3) + C
Solving for C, we get:
C = 2.21 - (1/(2n+3))(7.15)^(2n+3)
Substituting n = 1 (since there is no value given for n), we get:
C = 2.61
Therefore, the value of the arbitrary constant of the antiderivative of F(x) with initial value x = 7.15 and y = 2.21 is 2.61.
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organizations such as the u.s. centers for disease control (cdc) often use data collected from hospitals. what kind of data is the cdc using if it is collected by hospitals, then sold to the cdc for its own analysis? 1 point
Therefore ,the data they employ includes Second Party Data as a result, which is the solution to the given challenge of plotting data.
Data plotting: What is it?The most typical method of utilizing a chart to convey data is to graph the correlation of two additional variables. Diagrams created by hand or using a computer are also acceptable. From the origin, go three up, then 2 pieces to the right. On the reference system, it is important to display the digits for positions 2, 3, and 4. Be really explicit with your points. The pinkish squiggle with the letter P represents the value of 2.3. You must first generate a number line for each number in a collection of data to be able to create a chart.
Here,
Given :
Data gathered from hospitals is frequently used by institutions like the US Center of Disease Control (cdc).
In order to determine what data they use,
From the information provided, it is clear that they are using second-party data.
Therefore ,the data they employ includes Second Party Data as a result, which is the solution to the given challenge of charting the data.
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b. in general, when dealing with inferences for two population proportions, which two of the following are equivalent: confidence interval method; p-value method; critical value method?
The confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.
What is the confidence interval?
A confidence interval is a range of values that is likely to contain the true value of an unknown population parameter, such as the population mean or population proportion. It is based on a sample from the population and the level of confidence chosen by the researcher.
In general, when dealing with inferences for two population proportions, the confidence interval method and the critical value method are equivalent. These two methods provide a range of plausible values (confidence interval) for the difference between two population proportions and involve the calculation of critical values to determine the margin of error.
On the other hand, the p-value method is not equivalent to the confidence interval and critical value methods. The p-value method involves calculating the probability of observing a test statistic as extreme as, or more extreme than, the one obtained from the sample data, assuming the null hypothesis is true. It is used in hypothesis testing to determine the statistical significance of the difference between two population proportions.
To summarize:
- Confidence interval method: Provides a range of plausible values for the difference between two population proportions.
- Critical value method: Uses critical values to determine the margin of error in estimating the difference between two population proportions.
- P-value method: Determines the statistical significance of the observed difference between two population proportions based on the calculated p-value.
Hence, the confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.
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Write an algebraic expression for the phrase the quotient of 17 and k
Answer:
\( \frac{17}{k} \)
what is the greatest three-digit multiple of 33 that can be written using three different digits?
Please help me!!!
Answer:
957Step-by-step explanation:
The largest three-digit multiple of 33 * 30 is 990, which uses only two different digits. Now we work backwards: Subtracting 33 once gives 990-33=957, which has three different digits. Therefore, our answer is 957
957 is the greatest three-digit number which is multiplied by 33.
What are digits?A numerical digit is a single sign that can be used alone or in combination to denote a number in a positional numeral system.
A digit is a component of a set that, when put together, forms a numerical system.
Examples of digits include 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
If we multiply 33 by 31
It gives 1023 which is a four-digit number.
Now trying to multiply less than 31
By 30
33 × 30 = 990 but here two digits are the same.
By 29
33 × 29 = 957 and all three are different.
Hence "957 is the greatest three-digit number which is multiplied by 33".
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"HOT PIZZA" is offering 20% discount on all its pizza
Ali bought a pizza for £5.60 what was the original price
Answer:
Original price was £7.00
Step-by-step explanation:
20% discount means that ali is paying 80% of the full price
.8p = 5.60
Divide both siides by .8
p = 7
Original price was £7.00
generate n = 100 observations of the time series: = −1 + 2 + +1, where {} ∼ wn (0, 1). compute and plot the sample autocorrelation function.
To generate a time series with 100 observations, denoted as {}, where each observation is a random variable {} following a white noise distribution with mean 0 and standard deviation 1, we can use the formula = -1 + 2 + , where represents the ith observation.
To generate the time series, we can use the given formula = -1 + 2 + , where {} follows a white noise distribution with a mean of 0 and a standard deviation of 1. In this case, we are generating 100 observations.
Once we have the time series, we can compute the sample autocorrelation function (ACF). The ACF measures the correlation between each observation and the observations at different lags. It provides insights into the presence of any systematic patterns or dependencies within the time series.
To calculate the sample ACF, we compute the correlation between each observation and all the other observations at different lags. This results in a series of correlation coefficients, which are then plotted against the corresponding lags. The ACF plot helps us visualize the strength and significance of the correlation at different lags.
By examining the ACF plot, we can identify any significant autocorrelation patterns. If the autocorrelation coefficients are significantly different from zero at certain lags, it indicates a correlation structure within the time series. This information can be valuable for understanding and modeling the underlying dynamics of the data.
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The manager at a movie theater collects data on comedy and action movie attendance to
show an association between attendance and movie genres. The results are shown in the
table below. What percent of student attendees saw an action movie?
Ticket Type
Adult
Student
Total
Comedy
91
70
161
Movie Genre
Action
112
77
189
Total
203
147
350
40.7%
22%
42%
52.4%
Answer:42%
Step-by-step explanation:
The percentage of student attendees saw an action movie is 52.38%..
What is the percentage?The percentage calculation is a calculation which is done with respect to number 100.
Student that watched the comedy movie is 70.
Student that watched the action movie is 77.
Therefore, the total number of students present in that movie theater were (70 + 77) = 147.
Therefore, the percentage of students those saw the action movie is
= (77/147) × 100% = 52.38%.
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45x4-(6) im trying to figure it out but I just can't
what's you want actually? what are the question ?
Answer:
174.........is the answer
Which of the following is NOT true of the sample variance when the samples are independent and normally distributed?
it decreases as the number of sample values increases it is an unbiased point estimate of the population variance
it has a normal sampling distribution it remains constant as the number of sample values increases
it has a skewed sampling distribution
Option C, which states that the sample variance is constant as the number of sample values rises when the samples are independent and regularly distributed
Each sampling distribution's variability declines as the sample size go up, becoming more and more leptokurtic. The sample distribution's range is less than the original population's range.
The margin of error & sample size has an inverse relationship, meaning that as sample size rises, sampling error falls. It is because the findings would be more accurate the more evidence you had.
The distribution's dispersion is gauged by the standard error. The dispersion decreases as the sample size increases and the distribution's mean moves closer to the population mean.
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−2x−x+8 combine the like terms
Answer:
-3x+8 is the combined form
What is arithmetic overflow error converting varchar to data type numeric?
Arithmetic overflow error converting varchar to data type numeric is an error message that occurs when attempting to convert a string (varchar) data type to a numeric data type in SQL Server, and the resulting numeric value is too large to be stored in the specified data type. This error can occur when performing calculations that exceed the maximum range of the numeric data type, or when the string value contains non-numeric characters.
When attempting to convert a varchar value to a numeric value in SQL Server, the system checks if the string value contains only numeric characters and then attempts to convert it to the specified data type. If the resulting numeric value is larger than the maximum value that can be stored in the data type, an arithmetic overflow error occurs.
For example, if you have a varchar column with the value '12345678901234567890' and you try to convert it to a numeric data type with a maximum of 18 digits, an arithmetic overflow error will occur because the resulting value is larger than the maximum value that can be stored in the data type.
To avoid this error, you can either increase the precision and scale of the numeric data type to accommodate larger values or ensure that the string value contains only numeric characters before attempting to convert it. You can also use the TRY_CONVERT function instead of CONVERT function to handle the conversion errors gracefully.
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Pleaaaaaaaaaaasssssssse
Answer:
x: 1
y: 20
x: 2
y: 17
x: 3
y: 14
x: 6
y: 5
Suppose Alex found the opposite of the correct product describe an error Alex could have made that resulted in that product
It's important to double-check the signs and calculations during multiplication to ensure accuracy and avoid such errors.
If Alex found the opposite of the correct product, it means they obtained a negative value instead of the positive value that was expected. This type of error could arise due to various reasons, such as:
Sign error during multiplication, Alex might have made a mistake while multiplying two numbers, incorrectly applying the rules for multiplying positive and negative values.
Input error, Alex might have mistakenly used negative values as inputs when performing the multiplication. This could happen if there was a misinterpretation of the given numbers or if negative signs were overlooked.
Calculation mistake, Alex could have made a calculation error during the multiplication process, such as errors in carrying over digits, using incorrect intermediate results, or incorrectly multiplying specific digits.
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write a statement that creates a list called my_nums, containing the elements 5, 10, and 20.
A statement that creates a list is my_nums= [5,10,15]. This is also known as array.
What is an array?An array is a grouping of identically typed elements that are stored in adjacent memory locations and may each be separately referred to using an index to a special identifier. There is no need to declare five distinct variables when declaring an array of five integer values (each with its own identifier).
What are three types of arrays?The three types of arrays are index, multidimensional and associative array.
my_nums= [5,10,15] is an array that stores multiples of 5.
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A statement that creates a list is my_nums= [5,10,15]. This is also known as array.
What is an array?
An array is a data structure consisting of a collection of elements (values or variables), each identified by at least one array index or key. An array is a combination of a set of elements which are all of the same data type, organized in a particular way. Arrays are used to store multiple values in a single variable, structure data, and access data more efficiently. Arrays are generally used to represent data in a structured way, and they can be used to perform various mathematical operations and other calculations. Arrays are also useful for sorting and searching data in a predetermined order.
What are three types of array?
The three types of array are index, multidimensional and associative array.
my_nums= [5,10,15] is an array that stores multiples of 5.
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an unbiased coin is tossed four times. what is the probability that coin lands heads up at least once? (round your answer to three decimal places.)
The probability of getting at least one head is 15/16.
What is probability?
The ratio of positive outcomes to all possible outcomes of an event is known as the probability.
Formula for probability = favourable outcomes/ total outcomes
Main body:
if 4 coins are tossed , total no. of outcomes = 2⁴ = 16
In a toss there are 2 outcomes T or H
so, Probability of getting Head = 1/2
The probability of getting at least 1 head = 1- probability of getting no heads
⇒1 - Probability of getting tail in 4 tosses
⇒ 1 - (1/2)⁴
⇒ 1 - 1/16
⇒ 15/16
So the probability of getting at least one head is 15/16.
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HELP ME PLEASEEEE!!!!
Answer:ACF
Step-by-step explanation:
−8tan 1+tan2x Use appropriate identities to rewrite the following expression in terms containing only first powers of sine
By using Pythagorean identities the expression can be written as
-8 (sin ( x ) + 1 -sin 2x)
The Pythagorean identity is an important identity in trigonometry derived from the Pythagorean theorem. These identities are used to solve many trigonometric problems where, given a trigonometric ratio, other ratios can be found. The basic Pythagorean identity, which gives the relationship between sin and cos, is the most commonly used Pythagorean identity:
sin2θ + cos2θ = 1 (gives the relationship between sin and cos)
There are two other Pythagorean identities as follows :
sec2θ - tan2θ = 1 (gives the relationship between sec and tan)
csc2θ - cot2θ = 1 (gives the relationship between csc and cot)
Given expression is:
-8tanx/ 1 +tan2x
we know that:
By the Pythagorean Theorem:
1 + tan²x = sec²x
and tan x = sin x/cos x
and, sec x = 1/cos x
Now, we can write as:
-8tanx / 1 +tan²x
= -8 tan x / sec²x
= -8 sin x /cos x ÷ 1/cos²x
= -8 sin x/cos x × cos²x/1
= -8 (sin ( x ) + 1 -sin 2x)
Complete Question:
Use appropriate identities to rewrite the following expression in terms containing only first powers of sine:
−8tan 1 + tan2x.
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For a Valentine's Day party at his school, Kenneth is cutting ribbons to tie around boxes of candy. Each box of candy needs 1 2 of a foot of ribbon. Kenneth has 15 feet of ribbon in all. How many boxes of candy can Kenneth tie with a ribbon? Write your answer as a fraction or a whole number. pls i need help
Answer:
30 boxes
Step-by-step explanation:
if that is a 1/2,
then he needs half for each box
he has 15 feet's of ribbon
for every two boxes he needs 1 foot of ribbon
2×15=30
When the level of confidence and sample size remain the same, a confidence interval for a population proportion, p, will be ________ when pˆ(1−pˆ)p^(1−p^) is larger than when pˆ(1−pˆ)p^(1−p^) is smaller.
Multiple Choice
o wider
o narrower
o neither wider nor narrower (they will be the same)
Confidence intervals are used in statistics to estimate the true value of a population parameter, such as a proportion, based on a sample. When p-hat(1-p-hat)/n is larger, the width of the confidence interval will be wider, and when it is smaller, the interval will be narrower.
The level of confidence indicates how certain we are that the true parameter falls within the interval. Sample size also plays a role in determining the width of the interval, as larger samples tend to result in more precise estimates. Now, let's consider the effect of the sample proportion, denoted as p-hat, on the width of a confidence interval for a population proportion, p. The formula for calculating the width of the confidence interval is based on the standard error of the estimate, which is a measure of the variability of the sample proportion.
The standard error of the estimate depends on the value of p-hat and the sample size. When the sample size and level of confidence are held constant, the standard error decreases as p-hat approaches 0.5 (or the midpoint between 0 and 1). This means that the estimate is more precise when p-hat is closer to 0.5, resulting in a narrower confidence interval.
Conversely, when p-hat is far from 0.5 (i.e., when it is close to 0 or 1), the standard error increases and the estimate is less precise. This results in a wider confidence interval. The effect of p-hat on the width of the confidence interval is captured by the formula p-hat(1-p-hat)/n, where n is the sample size.
In other words, a sample with a proportion closer to 0.5 will yield a narrower confidence interval than a sample with a proportion closer to 0 or 1, assuming the level of confidence and sample size are the same.
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what is the exact value of the expression? tan(π6) sin(5π3)⋅cos(−3π4)
The exact value of the expression tan(π/6) sin(5π/3)⋅cos(-3π/4) is -√3/2.
We have tan(π/6). The angle π/6 is equivalent to 30 degrees. The tangent of 30 degrees is √3/3.
We have sin(5π/3). The angle 5π/3 is equivalent to 300 degrees. In the unit circle, the sine value at 300 degrees is -√3/2.
Finally, we have cos(-3π/4). The angle -3π/4 is equivalent to -135 degrees. In the unit circle, the cosine value at -135 degrees is -√2/2.
Multiplying these values together, we have (√3/3) * (-√3/2) * (-√2/2). Simplifying, we get (√3 * √3 * √2) / (3 * 2 * 2) = (√3 * √2) / 12.
Taking the negative sign into account, the final value is -√3/2, which is approximately -0.866.
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