9. For the following vectors, x and y, calculate the indicated similarity or distance measures. a. (a) x : (0,0,1,1), y : (2,2,2,2) cosine, correlation, Euclidean b. (b) x : (0,1,0,1), y : (0,1,0,1) cosine, correlation, Euclidean, Jaccard c. (c) x : (1,1,0,1), y : (-1,0,-1,0) cosine, correlation, Euclidean d. (d) x : (1,0,0,1,0,1), y : (0,1,1,0,0,1) cosine, correlation, Jaccard e. (e) x : (2,1,0,2,0,3), y : (1,1,1,0,0,1) cosine, correlation
Answers
Answer:
The answer to this question can be defined as follows:
a)
cosine: 0.707
correlation: 0
Euclidean: 3.16
b)
cosine: 1
correlation: 1
Euclidean: 0
Jaccard: 1
c)
cosine: -0.4082
correlation: 0.5774
Euclidean: 2.64
d)
cosine: -0.333
correlation: -0.3333
Jaccard: 0.5
e)
cosine: -0.7075
correlation: 0.2132
Step-by-step explanation:
a) cosine:
\(x \times y( 0 \times 2+ 0 \times 2 +1 \times 2+1 \times 2) = 4\\\\ x= \sqrt{2} = 1.414\\\\y= \sqrt(16)=4\\\\\cos (x\times y) = \frac{x\times y}{x\times y}\\\\\cos (x\times y) = \frac{4}{1.414\times 4}\\\\= 0.707\)
correlation:
\(\ corr(x,y) =[\frac{covariance (x,y)}{standec(x) \times standdev(y)}]\\X \ mean = 0.5\\Y \ mean = 2\\covariance (x,y) = 0\\standdev(x) = 0.5774\\standdev(y) = 0\\corr(x,y) = 0\)
Euclidean:
\(d(x,y) = \sqrt((0-2)^2+(0-2)^2+(1-2)^2+(1-2)^2)\\d(x,y) = 4+4+1+1\\d(x,y)= \sqrt(10)\\d(x,y)= 3.16\\\)
by applying above formula we get all the values.
b)
cosine: 1
correlation: 1
Euclidean: 0
Jaccard: 1
c)
cosine: -0.4082
correlation: 0.5774
Euclidean: 2.64
d)
cosine: -0.333
correlation: -0.3333
Jaccard: 0.5
e)
cosine: -0.7075
correlation: 0.2132
Related Questions
Translate the phrase into an algebraic expression.
The product of 9 and x
Answers
The algebraic expression for the product of 9 and x is 9x. This can be expressed in steps as follows:
Step 1: Identify the values that are being multiplied together. In this case it is 9 and x.
Step 2: Write the two values side by side and place a multiplication sign between them.
Step 3: The algebraic expression for the product of 9 and x is then written as 9x.
The chair of the operations management department at Quality University wants to construct a p-chart for determining whether the four faculty teaching the basic P/OM course are in control with regard to the number of students who fail the course. Accordingly, he sampled 100 final grades from last year for each instructor, with the following results: Instructor Number of Failures Prof. A 13 Prof. B 0 Prof. C 11 Prof. D 16 What is the estimate of the standard deviation of the sampling distribution for an instructor's sample proportion of failures?
Answers
Answer:
0.03
Step-by-step explanation:
Given the following :
Instructor __no of failure __prop (failure /100)
A ________ 13__________0.13
B ________0___________0
C________11___________0.11
D________16__________0.16
Prof. B adds no proportion to the data and hence excluded in the estimation.
Mean(m) = 0.13 + 0.11 + 0.16) / 3
= 0.4 / 3
= 0.1333
Standard deviation :
Σ(X - m)² / N - 1
Σ(0.13 - 0.1333)² + (0.11 × 0.1333)² + ( 0.16 - 0.1333)² = 0.0012668689
= 0.0012668689 / 2
= 0.00063343445
√0.00063343445
= 0.0251681
= 0.03 To 2 decimal places
Q2) A company is evaluating the extension of credit to a new group of customers.
Although these customers will provide $180,000 in additional credit sales, 12% are likely
to be uncollectible. The company will also incur $16,200 in additional collection
expense. Production and marketing costs represent 72% of sales. The firm is in a 34% tax
bracket and has a receivables turnover of four times. No other asset buildup will be
required to service the new customers. The firm has a 10% desired return.
has a
a. Calculate the incremental income after taxes and the return on incremental
investment. Should the company extend credit to these customers?
b. Based on the income level determined in (a), should credit be extended if an
additional investment in inventory is considered? Assume an inventory turnover
of 1.6 times.
Answers
Answer:
Step-by-step explanation:
a. To calculate the incremental income after taxes, we need to determine the incremental costs and revenues associated with extending credit to the new customers. The additional credit sales will generate $180,000 in revenue, but we need to subtract the expected uncollectible amount of 12% * $180,000 = $21,600. The net additional credit sales will be $180,000 - $21,600 = $158,400.
The production and marketing costs will be 72% * $180,000 = $129,600. The total incremental costs will be $129,600 + $16,200 (collection expense) = $145,800.
The incremental income before taxes will be $158,400 - $145,800 = $12,600. The income tax will be 34% * $12,600 = $4,284. The incremental income after taxes will be $12,600 - $4,284 = $8,316.
To calculate the return on incremental investment, we need to determine the incremental investment required to extend credit to the new customers. Since no additional investment in assets is required, the incremental investment will be equal to the incremental costs of $145,800. The return on incremental investment will be $8,316 / $145,800 = 5.7%.
Based on the return on incremental investment of 5.7%, the company should not extend credit to the new customers, as it is below the desired return of 10%.
b. If an additional investment in inventory is required to extend credit to the new customers, we will need to recalculate the incremental income after taking into account the additional investment. If the additional investment in inventory is $x, the incremental investment will be $145,800 + $x. The incremental income before taxes will be $158,400 - ($129,600 + $16,200 + $x) = $12,600 - $x. The income tax will be 34% * ($12,600 - $x) = $4,284 - $x * 0.34. The incremental income after taxes will be ($12,600 - $x) - ($4,284 - $x * 0.34) = $8,316 - $x * 0.34.
To determine whether credit should be extended, we need to compare the return on incremental investment to the desired return of 10%. The return on incremental investment will be ($8,316 - $x * 0.34) / ($145,800 + $x). Setting this equal to the desired return of 10% and solving for x, we find that the additional investment in inventory cannot exceed $24,764 for the company to meet its desired return. If the additional investment in inventory is less than or equal to $24,764, the company should extend credit to the new customers. If it is greater than $24,764, the company should not extend credit to the new customers.
select all that applies
Answers
Answer:
A
C
D
F
G
Step-by-step explanation:
You can pretty easily find the answer by just going through each statement and analyzing what it means. For A it asks if AB is parallel to DC (parallel means the lines could go on for infinity without ever touching) Looking at the shape we can see that AB and DC are on opposite sides and are slanted in the same direction meaning that they are in fact parallel. This could be correct. The next asks about angle BCD and whether or not it is congruent to CDA (congruent is just another word for the same) Angle BCD is the top right angle and we know this by following the letters on the shape in the order they were asked in the question. We can see that these two angles are not congruent just via observation as BCD is an acute angle (less than 90 degrees with a right angle as a reference) and CDA is an obtuse angle (greater than 90 degrees) This answer choice is incorrect. Next up we have BPC and APD and it asks whether or not they are congruent. We can apply the same logic to the previous choice and find out that they are in fact congruent angles which is also backed up by the rule of vertical angles which states that all vertical angles are congruent. This means C is also a correct option. Next up is line BC compared with AD which are very obviously congruent just by looking at the image, but we also know that opposite sides of a parallelogram are always congruent. This answer choice is correct also. Next up it asks us about AC in comparison to BD which are NOT congruent because each line has a different length due to the fact of the angles they are coming from. AP is in fact congruent to PC because it is just a continual of the original line which stems from halfway across the middle of the parallelogram. This IS a correct choice. Next up it asks about supplementary angles and it is important to understand what that is before you can accurately answer the question. Supplementary angles are angles which will total 180 degrees and the question specifically asks in relation to angles BAD and ADC. These angles are in fact supplementary because they are across from each other at the base of the parallelogram and we know from theories that these angles will always be supplementary in these shapes. G is also a correct answer. Last but not least we have a question asking us about APB and APD and whether or not they are vertical angles. Vertical angles are angles which are across from each other either vertically as the name sake says or horizontally, but they have to be directly across from each other. Looking at the image we can clearly see that these angles are NOT across from each other but instead are adjacent to each other (next to each other) meaning the last option is not correct. This leaves A,C,D,F, and G as the correct answers.
what is the range of f(x)= sin -1(x)
Answers
This means that the output of the function can be any value between -π/2 and π/2, including the endpoints.
In other words, the range of f(x) = sin⁻¹(x) is [-π/2, π/2].
92 divided by the sum of 49 and 36?
Answers
Answer:
92/85
Step-by-step explanation:
If you repeated a hypothesis test 1,500 times (in other words, 1,500 different samples from the same population), how many times would you expect to commit a Type I error, assuming the null hypothesis were true, if (For "(c)" round your answer to 1 decimal place.)
ANSWER ALL
Answers
if the level of significance is 0.01, we would expect to commit a Type I error 15 times out of 1,500 tests. if the level of significance is 0.05, we would expect to commit a Type I error 75 times out of 1,500 tests.
How to determine how many times would you expect to commit a Type I error, assuming the null hypothesis were trueAssuming that the null hypothesis is true in all 1,500 tests, the probability of committing a Type I error (rejecting the null hypothesis when it is actually true) is equal to the level of significance (alpha) of the test.
(a) If the level of significance is 0.01, then the probability of committing a Type I error in one test is 0.01. Therefore, the expected number of Type I errors in 1,500 tests is:
Expected number of Type I errors = (number of tests) x (probability of Type I error per test)
= 1,500 x 0.01
= 15
So, if the level of significance is 0.01, we would expect to commit a Type I error 15 times out of 1,500 tests.
(b) If the level of significance is 0.05, then the probability of committing a Type I error in one test is 0.05. Therefore, the expected number of Type I errors in 1,500 tests is:
Expected number of Type I errors = (number of tests) x (probability of Type I error per test)
= 1,500 x 0.05
= 75
So, if the level of significance is 0.05, we would expect to commit a Type I error 75 times out of 1,500 tests.
(c) If the level of significance is 0.001, then the probability of committing a Type I error in one test is 0.001. Therefore, the expected number of Type I errors in 1,500 tests is:
Expected number of Type I errors = (number of tests) x (probability of Type I error per test)
= 1,500 x 0.001
= 1.5
So, if the level of significance is 0.001, we would expect to commit a Type I error 1.5 times out of 1,500 tests, which we round to 1 decimal place as 1.5 rounds to 2.
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Marcie's gross pay is $360.00 After deductions of 10% what is her net pay?
Answers
Answer: 324.00 i think
Step-by-step explanation:
How fast will the train cover 290 miles if its speed is s miles per hour?
Answers
Answer:
290/s
Step-by-step explanation:
Basically, the question is asking you to find:
290/s miles per hour
The only problem is translating words to math.
Hope this helps!
awnser the qusetion 9iu523hb5hn33
Answers
The order of the matrices of each product is given as follows:
AB is nonexistent, BA is nonexistent.
How to apply multiplication of matrices?Multiplication of matrices is applied multiplying the rows of the first matrix by the columns of the second matrix, and hence the number of columns of the first matrix must be equal to the number of rows of the second matrix.
For the product AB, we have that:
A has four columns.B has two rows.Hence the product is nonexistent.
For the product BA, we have that:
B has four columns.A has two rows.Hence the product is nonexistent.
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what is the constant rate of change Y= 4 + 3x what is the y- intercept
Answers
Best way to solve this type of equation Ax+by=c
Answers
The best way to solve an equation of the form Ax+by=c could be either substitution, completing the squares or graphical method depending on the type of equation given.
Quadratic equation
The equation in the form Ax+by=c is a quadratic problem which could be approached in different ways depending on the specific equation given and the information provided.
The methods of approach are substitution, completing the squares or graphical method which all have proven to be suitable ways to arrive at the solution.
Hence, either of the three methods are good ways to solve such equation.
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deigo has $500 dolars in his saving account each month he takes out $20 to pay for karate class. let m be the number of months write an expression yo show the total amount ain deigos saving account after m months
Answers
The expression shows the total amount in Diego's savings account after m months is 500 - 20m.
What is the total amount?
Two numbers are added together to form the sum. It is simple to figure out the sum of small integers. You can add two numbers using your fingertips. When two or more numbers are added together, a mathematical sum or maths sum is the outcome. It is the sum of the numbers when they are added up.
Here, we have
Given: Deigo has $500 in his saving account each month he takes out $20 to pay for karate class.
Let m be the number of months. Write an expression to show the total amount in Diego's savings account after m months.
The expression:
= 500 - 20m
Here m is the number of months
Hence, the expression shows the total amount in Diego's savings account after m months is 500 - 20m.
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One year, the population of a city was 110,000. Several years later it was 102,300. Find the percent decrease.
Answers
the decrease was clearly 110000 - 102300 = 7700.
now, if we take 110,000(origin amount) as the 100%, what is 7700 off of it as a percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 110000 & 100\\ 7700& x \end{array} \implies \cfrac{110000}{7700}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 100 }{ 7 } ~~=~~ \cfrac{ 100 }{ x }\implies 100x=700\implies x=\cfrac{700}{100}\implies x=7\)
Estimate the mean of the number of homework problems completed by students in an hour given in the following grouped frequency table. • Round the final answer to one decimal place. (Please do not include the units in your answer.) Value Interval Frequency 3 3-6. 7-10 11-14 15-18 Provide your answer below: mean estimate QUESTION 21 . 1 POINT QUESTION 21 · 1 POINT A Trial best fits which of the following descriptions? Select the correct answer below: O a subset of the set of all outcomes of an experiment O one specific execution of an experiment O a planned activity carried out under controlled conditions a particular result of an experiment QUESTION 22.1 POINT If A and B are independent events, P(A) = 0.13, and P(B) = 0.72, what is P(BA)? Provide your answer below:
Answers
Let's denote the midpoint of each value interval by x and the frequency by f. Then the estimated mean is given by:
(mean) = (Σxf) / (Σf)
where the summation is taken over all value intervals.
Using the provided grouped frequency table, we can calculate the estimated mean as follows:
Midpoint (x) Frequency (f) xf
4.5 12 54
8.5 18 153
12.5 24 300
16.5 14 231
Total 68 738
The sum of the xf column is 738, and the sum of the f column is 68. Therefore, the estimated mean is:
(mean) = (Σxf) / (Σf) = 738 / 68 ≈ 10.85
Answer to Question 22:
Since A and B are independent events, we have:
P(B|A) = P(B)
Also, from the definition of conditional probability, we have:
P(B|A) = P(BA) / P(A)
Solving for P(BA), we get:
P(BA) = P(B) * P(A) = 0.13 * 0.72 = 0.0936
Therefore, P(BA) = 0.0936.
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Rachel is saving money to buy a game. So far she has saved $30, which is two-thirds of the total cost of the game. How much does the game cost?
Answers
Answer:
45
Step-by-step explanation:
2/3 of 45 is 30
20. There is a number x sum that x2 is irrational but x is rational. Then x can be
(a) √5102.0 (£)
(b) √2
(c) 3/2
(d) 4/5
Answers
The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)
To explain further, we need to understand the properties of rational and irrational numbers.
A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.
In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.
Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.
Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.
Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.
In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)
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Basic factoring. Please help!
Answers
Answer:
3rd Option: -1(x + 15)
Step-by-step explanation:
When we factor our a negative 1, we take the opposite signs of what is given:
-1(x + 15)
To check, we simply just redistribute to check if it matches the original expression:
-x - 15
So the 3rd option is the correct choice.
Answer:
It's the third option (it's correct with you)
Step-by-step explanation:
- X - 15
So here we should the common factor between - x and - 15, where it is - 1 because both of these have minus in common.
Then the answer is:
-X - 15
= - 1 ( x + 15)
Hope this helps you..
Good Luck!
A pair of linear equations is shown: y = −3x + 5 y = x + 2 Which of the following statements best explains the steps to solve the pair of equations graphically? On a graph, find the point of intersection of two lines; the first line has y-intercept = 5 and slope = −3, and the second line has y-intercept = 2 and slope = 1. On a graph, find the point of intersection of two lines; the first line has y-intercept = −3 and slope = 5, and the second line has y-intercept = 1 and slope = 2. On a graph, find the point of intersection of two lines; the first line has y-intercept = −5 and slope = 3, and the second line has y-intercept = −2 and slope = −1. On a graph, find the point of intersection of two lines; the first line has y-intercept = 3 and slope = −5, and the second line has y-intercept = −1 and slope = −2. Question
Answers
Answer:
Step-by-step explanation:
the first line has y-intercept = 5 and slope = -3, and the second line has y-intercept = 2 and slope = 1.
What is the slope of the line y = 3? O A. 3 O B. 1 O C. O O D. Undefined
Answers
Answer:
C
Step-by-step explanation:
The slope of a horizontal line, such as that of y= 3, is equal to 0.
This can be proved using the slope formula.
\(\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }\)
Let's choose 2 points on the line y= 3:
(0, 3) and (2, 3)
Slope
\( = \frac{3 - 3}{2 - 0} \)
\( = \frac{0}{2} \)
= 0
Thus, the line has a slope of zero.
On the other hand, vertical lines have an undefined slope.
Additional:
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can anyone help with my math hw
Answers
The value of x in the inequality will be x ≥ 2
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
5x^2 +3 ≥ 23
5x^2 ≥ 23 - 3
5x^2 ≥ 20
x^2 ≥ 20/5
x^2 ≥ 4
\(x \geq \sqrt{4}\)
x ≥ 2
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What is the mean of the set of data given below? 13 8 9 6 10 8
Answers
Answer:
Mean = The numbers added up and divided by the number of numbers.
Step-by-step explanation:
= (13 + 8 + 9 + 6 + 10 + 8) / 6
= 54 / 6
= 9
The mean is 9.
Calculate for y given that mean of 20,2y,25,y,30 is 27
Answers
Answer:
y = 218
Step-by-step explanation:
Mean = (Sum of all numbers)/(How many numbers present)
27 = (20 + 2y + 25 + y + 30)/27
27 = (3y + 75)/27
3y + 75 = 729
3y = 729 - 75
3y = 654
y = 218
What is the difference?
47−55
Enter your answer in the box.
Answers
Answer:
-8
Step-by-step explanation:
47 - 55
= 47 + (-55)
= -8
Hope it helps ⚜
please help me.. no links pls
Answers
Answer:27
Step-by-step explanation:
Its pretty simple. Perimeter is the addition of all the sides. Add 4+9+8+6 to get 27.
PLEASE AM N MDDLE SCHOOL!
Answers
(If you want an explanation, just ask in the comments and I’ll provide)
The base of the mountain is 6,500 feet above sea level and AB measures 230 feet across. Given that the measurements for QAP is 20° and QBP is 35°, how far above sea level is peak P ? Express your answer to the nearest foot.
Height above sea level:
Answers
Answer:
6610
Step-by-step explanation:
We have tan(X) = opposite/ adjacent
tan(QBP) = PQ/BQ
tan(35) = PQ/BQ ---eq(1)
tan(QAP) = PQ/AQ
tan(20) = \(\frac{PQ}{AB +BQ}\)
\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)
230*tan(20) + PQ*tan(20)*tan(35) = PQ
⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)
⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]
\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)
\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)
PQ = 110.4
≈110
Height above sea level = 6500 + PQ
6500 + 110
= 6610
which of the following inequalities matches the graph?
Answers
Since the area shaded is left of x = -3, x has to be less than -3.
Translate the following statements into probability notation. Use x as the random variable. some options are used more than once!
a. The probability of x being no more than a:
a. P(x≥a)
b. P(x=a)
c. P(x>a)
d. P(x≤a)
c. P(x
b. The probability of being at least a:
a. P(x
b. P(x≤ a)
c. P(x>a)∆
d. P(x = a)
e. P(x≥ a)
c. The probability of z being at most a:
a. P(x < a)
b. P(x ≤a)
c. P(x > a)
d. P(x =a)
e. P(x≥a)
d. The probability of z being no less than a:
a. P(x=a)
b. P(x≤a)
c. P(x ≥a).
d. P(x>a)
e. P(x > a)
e. The probability of a being more than a:
a. P(x < a)
b. P(x ≤ a)
c. P(x>a)
d. P(x≥a)
e. P(x= a)
f. The probability of 2 being exactly a:
a. P(x ≤a)
b. P(x =a)
c. P(x ≥ a)
d. P(x < à)
e. P(x > a)
Answers
a. The probability of x being no more than a: d. P(x≤a)
P(x)) The probability of being at least a?b. The probability of being at least a: e. P(x≥a)
c. The probability of z being at most a: b. P(x ≤a)
d. The probability of z being no less than a: c. P(x ≥a).
e. The probability of a being more than a: c. P(x>a)
f. The probability of 2 being exactly a: b. P(x =a)
Using mathematical symbols, probability notation is a means to represent events and their probabilities. In this instance, an is a specified value or constant, while x is utilised as a random variable. P(x=a), P(x>=a), P(x=a), P(x>a), P(xa), or P(x!=a) are the possible outcomes. Depending on the particular event under consideration, one may choose one of the inequality symbols (, >, =, >=, or =). For instance, P(x=a) denotes the likelihood that x will not exceed a, but P(x>a) denotes the likelihood that x will exceed a. To minimise confusion and assure accurate probability estimates, the proper notation must be used
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The answer for following questions are mentioned below.
What is probability notation?Probability notation is a way of representing the probability of an event or a random variable using mathematical symbols and formulas. It typically involves using capital letters, such as P, to denote probability, and variables, such as x, to denote random variables.
a. The probability of x being no more than a:
d. P(x≤a)
b. The probability of being atleast a:
e. P(x≥ a)
c. The probability of z being at most a:
b. P(x ≤a)
d. The probability of z being no less than a:
c. P(x ≥a).
e. The probability of a being more than a:
c. P(x>a)
f. The probability of 2 being exactly a:
b. P(x =a)
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HELP ME, PLEASE!!!!!!
Answers
A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
Out of six sides on the die, two are the desired results, which are 1 or 6, hence the probability is given as follows:
p = 2/6
p = 1/3.
Hence, out of 60 trials, the expected number of successes is given as follows:
E(X) = 60 x 1/3
E(X) = 20.
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