Given two objects represented by the tuples (22, 1, 42, 10) and (20, 0, 36, 8):(a)Compute the Euclidean distance between the two objects. (b) Compute the Manhattan distance between the two objects.

Answers

Answer 1

Answer:

(a) 6.708

(b) 11

Step-by-step explanation:

Tuples ( 22, 1, 42, 10) and (20, 0, 36, 8)

Euclidian distance formula  

[tex]D = \sqrt{(q1 -p1)^2 + (q2-p1)^2 + (q3 - p3)^2 + (q4 -p4)^2}[/tex]

D = [tex]\sqrt{(22-20)^2 + (1-0)^2 + (42 -36)^2 + (10 -8)^2 }[/tex]

   = [tex]\sqrt{(2)^2 + (1)^2 + (6)^2 + (2)^2}[/tex]

    = [tex]\sqrt{4 + 1 + 36 + 4 }[/tex]

     = [tex]\sqrt{45}[/tex]

 D    = 6.708

Therefore the Euclidean distance between the tuples is 6.708

Manhattan Distance formula

D = |q1-p1| + |q2 -p2| + |q3 -p3| + |q4-p4|

  = |22-20| + | 1-0| + | 42 -36| + | 10-8|

 = |2| + |1| + |6| + |2|

D = 11

Therefore the Manhattan distance is equal to 11


Related Questions

The $40 million lottery payment that you have just won actually pays $2

Answers

Answer:

wait what is the question?

Step-by-step explanation:

??

Cecilia bought 5 games of
bowling for $25 and Frankie
bought 7 games for $42.
Which is the better buy?

Answers

The better buy is 7 games for $42

Which equation matches the function shown below?

Answers

Answer:

Step-by-step explanation:

Pick the two easiest points to deal with.

(0,4)  and (2,0)

Find m

m = (y2 - y1)/(x2 - x1)

y2 = 4

y1 = 0

x2 =0

x1 = -2

m = (4 - 0)/(0 - - 2)

m = 4/2 = 2

Now use one of the points to find b

y = mx + b        Use (0,4)

4 = 2*0 + b

b = 4

The equation you want is y = 2x + 4

Please help!! I can't get it!

Answers

Answer:

B is the answer

hope it helps

ayee someone help pleasee

Answers

Answer:

Both are solutions of x.

Step-by-step explanation:

[tex]x^{2} =49[/tex]

For [tex]x^{2} =f(a)[/tex] the solutions  are [tex]x=\sqrt{f(a)} ,-\sqrt{f(a)}[/tex]

[tex]x=\sqrt{49} ,x=-\sqrt{49}[/tex]

[tex]\sqrt{49}[/tex]

Factor  the number: [tex]49=7^{2}[/tex]

Apply radical rule: [tex]\sqrt[n]{x^n} =a[/tex]

[tex]\sqrt{7^2} =7[/tex]

=7

[tex]-\sqrt{49}[/tex]

Factor the number: [tex]49=-7^2[/tex]

Apply radical rule: [tex]\sqrt[n]{x^n} =a[/tex]

[tex]-\sqrt{7^2}=7[/tex]

[tex]=-7[/tex]

What is the answer to Y=30x+25

Answers

Answer:

x=1/30y + -5/6

Step-by-step explanation:

Here are the prices for cans of juice that are the same brand and the same size at different stores. Which store offers the best deal? Store X: 4 cans for $2.48 Store Y: 5 cans for $3.00 *

Answers

Answer:

Y=300

X= 4

M= 49x9=4

3x4=3

Step-by-step explanation:


Divide the fractions:

5/8 divided by 1/24 =

Answers

Answer:

The answer to this question is 15.

Step-by-step explanation:

We know that dividing a fraction by another fraction is the same as multiplying a fraction by the other fractions reciprocal, where the numerator and denominator are switched.

5/8 ÷ 1/24 =

5/8 x 24/1 =

120/8

120 ÷ 8 = 15.

Hence, the answer to this question is 15.

Hope this helps! :D

Final Answer:

15

Step-by-step explanation:

5/8 ÷ 1/24

5/8 ÷ 24/1

5/8 × 24/1 = 120/8

120/8 ⇒ 15/1 ⇒ 15

Explain if the following is a proportional relationship: Sam used 6 gallons of gas to drive 50 miles and 4 gallons of gas to drive 100
miles.

Answers

Answer:

it's not a proportional relationship. ..............

There are 6 'blobs' in your bed. Each day the number of
blobs doubles. Create a table (with 4 rows) to represent
the number of blobs in your bed as a function of the
number of days that passed. Write an equation to
represent the scenario.
*How many blobs will be in your bed after 3 days?

Answers

Answer:

why the hell you got blobs in your bed?

Step-by-step explanation:

There is an installation fee to join the Pine River country club as well as monthly dues the total cost of her seven month membership will be $3200 and after one and a half years $3970 find both the intuition feet and the monthly dues

Answers

Answer:

Monthly charges = $70

Intuition charges = $2710

Step-by-step explanation:

There is intuition fee and per month fee for joining the Pine River country club.

Total cost for 7 months is $3200

Total cost for one and a half years is $3970

one and a half years means 18 months.

To find:

Intuition fee and monthly dues?

Solution:

Let the intuition fee = [tex]i[/tex]

Let the monthly dues = [tex]m[/tex]

Total cost for 7 months can be represented as

[tex]i+7m = 3200[/tex] ..... (1)

Total cost for 18 months can be represented as

[tex]i+18m = 3970 .... (2)[/tex]

Here, we have 2 equations and 2 variables whose values are to be found.

Let us use elimination method to solve the equations.

Subtracting equation (1) from (2):

[tex]11m = 770\\\Rightarrow m = 70[/tex]

Therefore, the monthly dues are $70.

Using equation (1), we can find the value of [tex]i[/tex].

[tex]i + 70\times 7 = 3200\\\Rightarrow i = 3200 - 490\\\Rightarrow i = \$2710[/tex]

Therefore, intuition charges are $2710.

Isabella is making a bracelet for her friend. She has to decide which type of band to use, either leather or Siver. She also plans on picking two charms for the
bracelet. One of the charms will be of an animal, either a cat or a dog. The other charm will be of a sport, either basketbal, baseball, or soccer. How many
different bracelet combinations does Isabella have to choose from?
O 3
07
O 8
O 12

Answers

Answer:

There are 12 combinations.

Step-by-step explanation:

Options:

1. Silver or Leather

2. Cat or Dog

3. Basketball, baseball, or soccer

Now we need to multiply the options together, so 2 × 2 × 3 = 12.

Need help fastttt anybody

Answers

Answer:

ok look, you gonna learn somethin ight

Step-by-step explanation:

If you want answer you usually wanna put at least 15 or more points invested after grinding points its more worth and more people will go for it instead of 5 points just saying it happened to me to i did a 5 points thing and no-one answered then, I did 50 and I got like 5 people saying NOO I WANTED TO ANSWER so yeah no hate but I'm just saying you can report if you think is mean which I already know is rude to most people and idc really. wasnt copied from e

Write a number sentence that illustrates the following. A number with two decimal places multiplied by a number with one decimal place. The product has only two nonzero digits. Choose the correct answer below.
A. 0.08 x 0.6 = 0.48
B. 0.08 x 0.6 = 0.0048
C. 0.8 x 0.6 = 0.48
D. 0.08 x 0.6 = 0.048

Answers

Answer:

D

Step-by-step explanation:

The correct answer would be D
0.08x 0.6 = 0.048

3x = y and x - 2y = 10​

Answers

Answer: Rewrite equations:

3x=y;x−2y=10

Step: Solve3x=yfor y:

3x=y

3x+−y=y+−y(Add -y to both sides)

3x−y=0

3x−y+−3x=0+−3x(Add -3x to both sides)

−y=−3x

−y

−1

=

−3x

−1

(Divide both sides by -1)

y=3x

Step: Substitute3xforyinx−2y=10:

x−2y=10

x−23x=10

−5x=10(Simplify both sides of the equation)

−5x

−5

=

10

−5

(Divide both sides by -5)

x=−2

Step: Substitute−2forxiny=3x:

y=3x

y=(3)(−2)

y=−6(Simplify both sides of the equation)

Step-by-step explanation:

please help me asap​

Answers

The exact form is -15/28 and the decimal form is -0.535

I need a legit answer with just a little explanation please it would mean alot to me

Answers

Answer: C.

Step-by-step explanation: Plug in x in the formula. Solve for each y by plugging in each x in the formula and seeing if it works. This took me like 3 min to solve

A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let ^ p denote the proportion in the sample who say they support the increase. Suppose that 13% of all adults in Ohio support the increase. The standard deviation of the sampling distribution is

Answers

Answer:

The standard deviation of the sampling distribution is [tex]\sigma =0.0087[/tex]

Step-by-step explanation:

From the question we are told that

     The sample size is  n =  1500

     The population proportion is  [tex]p = 0.013[/tex]

Generally the standard deviation of this sampling distribution is mathematically represented as

      [tex]\sigma = \sqrt{ \frac{p (1- p)}{ n} }[/tex]

=>     [tex]\sigma = \sqrt{\frac{0.13(1-0.13)}{1500} }[/tex]

=>   [tex]\sigma =0.0087[/tex]

     

The standard deviation of the considered sampling distribution of the proportion supporting the increase is 0.0027 approx.

How to find the sample standard deviation for distribution of a sample proportion?

Suppose the sample proportion be denoted by [tex]\hat{p}[/tex], then, its distribution is normally distributed with mean [tex]p[/tex] and the standard deviation of distribution of [tex]\hat{p}[/tex] is given by

 [tex]\sigma = \sqrt{\dfrac{p(1-p)}{n}}[/tex]

where n is the sample size. It is true until [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex]

For the given case, we're given that:

Sample size=  n = 10Proportion average value = p = 13% = 0.13 Standard deviation = [tex]\sigma = \sqrt{\dfrac{0.13(1-0.13)}{1500}} = \sqrt{\dfrac{0.13 \times 0.87}{1500}} \approx 0.0027[/tex]

Thus, standard deviation of the sampling distribution is approximately 0.0027

Learn more about standard deviation of proportion distribution here:

https://brainly.com/question/16548769

the lowest common denominator of 3/4, 4/5 and 2/3 is

Answers

Answer:

The Answer Is 60

Answer:

60

Step-by-step explanation:

4 8 12 16 20 24 28 32 36 40 44 48 52 56 60

5 10 15 20 25 30 35 40 45 50 55 60

3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 48 51 54 57 60


The area of a rectangle is greater than or equal to 154 square centimeters. The width of the rectangle is 12 centimeters and the length is x
centimeters. Select the possible value(s) of x.
Plz it’s a test LOLMDJSHS

Answers

Answer:

x ≤ 12.83

(Any number under or equal to 12.8333...)

Step-by-step explanation:

154 ≥ 12x

12.833.... ≥ x

x ≤ 12.83

With a coupon, you can get a pair of shoes that normally costs $84 for only $72. What percentage was the discount? Hint: First subtract to find the amount of discount$, then divide it by the original price.​

Answers

Answer:

14[tex]\frac{2}{7}[/tex]%

Step-by-step explanation:

We can just follow the hint.

Amount of discount = $84 - $72

                                 = $12

Percentage of discount = [tex]\frac{12}{84}[/tex] × 100%

                                       = 14[tex]\frac{2}{7}[/tex]%

Answer:

14.3% discount.

Step-by-step explanation:

Heya! So by the hint that they gave us, I subtracted 72 from 84, and then divided the 12 by 84. The true answer is 0.143 (rounded to the hundredth), getting you close to the initial 12. I hope this helped at least a little bit!

find an equation for the line that passes through the points (2,-6) and (-4,-4)​

Answers

Answer:

-1/3 I think

Step-by-step explanation:

use the slope formula

Teacher made a table to show which months her students birthdays took place. There are four birthdays in August and in total they are 33 students. What is the ratio of students with August birthdays to the total number of students

Answers

Answer:

4:33 or 4/33

Step-by-step explanation:

4: 33 student there are only 4 birthdays in Augusta and total 33 students

8
Find the slope of the line that passes through the points (10,8) and (6, 14).
Write your answer as a simplified fraction.

Answers

3

-2
because the answer is 6 over -4 and it simplified is that answer.

Which table does not represent a function

Answers

Answer:

B.

Step-by-step explanation:

B. table B has 2 y values for one x, and that makes it not a function but a relation / equation.

Suppose that the local sales tax rate is 5 %

and you purchase a car for $ 27,400
.
a. How much tax is​ paid?
b. What is the​ car's total​ cost?

Answers

Answer:

A: Tax paid us $1370

B: Total cost= car cost + taxes

$27,400+ $1370

=$28,770

Step-by-step explanation:

A board 30 metres long is to be divided into 2pieces so that the larger piece is 3 metres longer than twice the shorter piece. How long will the pieces be?

Answers

Answer: 9 and 21

Step-by-step explanation:

board=30m

divide by 2 pieces

one piece, we call it a

b, the other piece is b= 2a+3

a+b=30

a+2a+3=30

3a=30-3

3a=27

a=9

b=21

the answer is : 9 and 21

3х + 4 = 14
х = 2y - 12

Answers

Answer:

(-2, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3x + 4y = 14

x = 2y - 12

Step 2: Solve for y

Substitution

Substitute in x:                    3(2y - 12) + 4y = 14Distribute 3:                         6y - 36 + 4y = 14Combine like terms:           10y - 36 = 14Isolate y term:                     10y = 50Isolate y:                              y = 5

Step 3: Solve for x

Define equation:                    x = 2y - 12Substitute in y:                       x = 2(5) - 12Multiply:                                  x = 10 - 12Subtract:                                 x = -2

1. What value of x makes the equation 3x - 6 = 9 true?

Answers

Answer:

5

Step-by-step explanation:

this is basic algebra so it's important to understand this concept now. you need to combine like terms so 3x-6=9 becomes 3x=15 (you add the 6 to add like terms). You then divide the 3 from 3x on both sides to get x=5

The value of x makes the equation 3x - 6 = 9 true is: x = 5.

Here, we have,

given that,

the equation is: 3x - 6 = 9

so have,

3x-6=9

We need to combine like terms

=> 3x = 9 + 6

(we add the 6 to add like terms).

becomes, => 3x=15

we then divide the 3 from on both sides

=> 3x/3 = 15/3

we get

=> x=5

To learn more on equation click:

brainly.com/question/24169758

#SPJ6

A function, fix), models the depth of water in a wading pool that is filling at a rate of 11 gallons per minute. Which of these
describes why f(x) can be considered a linear function?
I. For every 1 minute interval, the depth of water in the wading pool increases by the same amount.
II. The function grows by equal factors every minute.
III. The slope of the function is constant.


a. I only
b. I and III only
c. II and III only
d. I, II, and III

Answers

Answer: the answer is C trust me bye

Step-by-step explanation:

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