Use these methods to normalize the following group of data:
200, 300, 400, 600, 1000
a) min-max normalization by setting min = 0 and max = 1
b) z-score normalization
c) normalization by decimal scaling

Answer:

3 miles per hour

Step-by-step explanation:

3 times 5 is 15 15 divided by 4 is 3

Josie's speed will be 15/4 miles per hour.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Josie walks 3/4 miles in 1/5 hour.

Now,

The distance = 3/4 miles

The time = 1/5 hour

Since, We know that;

Speed = Distance / Time

Substitute all the values, we get;

Speed = 3/4 miles / 1/5 hour

          = 3 x 5 / 4

          = 15/4 miles per hour

Thus, Josie's speed will be 15/4 miles per hour.

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The inequality is represented by the given graph is y ≤ -x/3+1.

The correct option is B.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

We have,

A graph of an inequality, passing by (0, 1) and (3, 0).

A and D are eliminated since the line is solid.

C is disregarded because the line is shaded below as well.

Then, the inequality will be y ≤ -x/3+1

Hence, the inequality is represented by the given graph is y ≤ -x/3+1.

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Answer:

1. ∠4 = 152°

2. ∠5 = 152°

3. ∠8 = 152°

4. ∠6 = 28°

Step-by-step explanation:

1. ∠4 and 152° are vertical angles. Therefore, m∠4 = 152°.

2. ∠5 and 152° are corresponding angles. Therefore, m∠5 = 152°

3. ∠8 and 152° are alternate exterior angles, therefore, m∠8 = 152°

4. ∠6 and <8 are a linear pair. Therefore,

m∠6 + m∠8 = 180°

m∠6 = 180° - m∠8

m∠6 = 180° - 152°

m∠6 = 28°

Answer:

Lines parallel to the given equation will have a slope of -⁵/2 and lines perpendicular to the given line will have a slope of ⅖.

Step-by-step explanation:

Given the equation of a line, -2y = 5x + 8, first rewrite the equation in the slope-intercept form, before determining the slope of the lines that will be parallel to it, and slope of lines that will be perpendicular to it.

-2y = 5x + 8

Divide both sides by -2

y = 5x/-2 + 8/2

y = -⁵/2x + 4

The slope of the line of this equation is -⁵/2.

Linea that will be parallel to the given equation will have the same slope, while all lines that will be perpendicular to it will be a negative reciprocal of the slope of the equation.

Therefore:

Lines parallel to the given equation will have a slope of -⁵/2 and lines perpendicular to the given line will have a slope of ⅖.

Answer:

Lines parallel to the given equation will have a slope of -5/2 and lines perpendicular to the given equation will have a slope of 2/5.

Step-by-step explanation:

I took the test.

Answer:

1. 4320

2. 248

3. -180

4. 1/8

9514 1404 393

Answer:

  A  3/2

Step-by-step explanation:

The graph crosses the y-axis at (0, -3) and the x-axis at (2, 0). Using the slope formula, we can find the slope of the line to be ...

  m = (y2 -y1)/(x2 -x1)

  m = (0 -(-3))/(2 -0)

  m = 3/2 . . . . matches choice A

Answer:

The birds travel at an average velocity of 122.2 miles per day

Step-by-step explanation:

The arctic terns fly a total distance of 22,000 miles in their yearly migration from the Arctic to the Antarctic and back again.

The average speed is the ratio between the total distance traveled by the time they took to travel.

Assume we take an average month of 30 days, then the time the arctic terns take to travel the 11,000 miles back is 30*3= 90 days.

The average velocity is

[tex]\displaystyle v=\frac{11,000}{90}=122.2[/tex]

v=122.2 miles/day

The birds travel at an average velocity of 122.2 miles per day

Answer:

The artic tern flies 11000 miles about 3 months at an average velocity of 122.222 miles per day.

Step-by-step explanation:

Answer:

320 calories

Step-by-step explanation:

Ratios.

let's say calories= c

grams = g

160c:40g

?      :80g

So if you look at the grams, you see an increase by *2.

so the get: ?

you need to multiply 160 by 2.

Answer:

212

Step-by-step explanation:

Answer:

It's a right angle triangle

Step-by-step explanation:

Answer:

y = 2/3 x + 1/3

Step-by-step explanation:

First find the slope of the given line by solving for "y":

3 x + 2 y = -7

2 y = - 3 x - 7

y = - 3/2 x - 7/2

which shows a slope of "- (3/2)"

Then, the slope of a line perpendicular to it must be "the opposite of the reciprocal" of this slope, that is: "2/3"

We use this info and the requested point (1, 1) to find the complete equation of the perpendicular line:

y = 2/3  x + b

1 = 2/3 (1) + b

1 - 2/3 = b

b = 1/3

Then the equation of the line is:

y = 2/3 x + 1/3

which agrees with the third answer shown in the list of options.

Answer:

8 wks

Step-by-step explanation:

It's 8 weeks

It's literally 8 weeks

Answer:

Okay, so what is the question?

Answer:

   Tornado: clouds, strong wind, rain, hail.

   Hurricane or cyclone: strong wind, heavy rain.

   Blizzard: heavy snow, ice, cold temperatures.

   Dust storm: strong winds, arid conditions.

   Flood: heavy rainfall.

   Hail storm: cold or warm temperatures, rain, ice.

   Ice storm: freezing rain.Step-by-step explanation:

Answer:

0.71358024691 But really you can say .7

Answer:

I think it is

C. Sometimes

Answer:

Step-by-step explanation:

the rock has changed color due to weathering.

just by looking at it, you cant tell for sure making it an inference.

Answer:

4. the rock has changed colour due to weathering

Step-by-step explanation:

the rock's colour has changed as a result of interference

Its the last one. I just took the quiz on edge.

Step-by-step explanation: The scale factor is 5. You mutiply  5 with the coordinates. J  is (-3,2) so multiply 5 and -3  which is -15 then do the same thing with 2 which equals 10. J'=(-15,10)

Answer:

[tex]d = q(z-1)[/tex]

[tex]S_n = \frac{nq}{2}(2 + (n-1)(z-1))[/tex]

[tex]S_{10} = 5q(9z -7)[/tex]

Step-by-step explanation:

Given

[tex]T_1 = q[/tex]

[tex]T_2 = qz[/tex]

Solving (a1): The common difference (d)

d is calculated as

[tex]d = T_2 - T_1[/tex]

This gives:

[tex]d = qz - q[/tex]

Factorize:

[tex]d = q(z-1)[/tex]

Solving (a2): Sum of n terms

This is calculated using:

[tex]S_n = \frac{n}{2}(2*T_1 + (n-1)d)[/tex]

Substitute values for T1 and d

[tex]S_n = \frac{n}{2}(2*q + (n-1)q(z-1))[/tex]

[tex]S_n = \frac{n}{2}(2q + q(n-1)(z-1))[/tex]

Factorize:

[tex]S_n = \frac{n}{2}(q(2 + (n-1)(z-1)))[/tex]

[tex]S_n = \frac{nq}{2}(2 + (n-1)(z-1))[/tex]

Solving (b): Sum of first 10.

In this case, n = 10

So:

[tex]S_n = \frac{nq}{2}(2 + (n-1)(z-1))[/tex]

becomes

[tex]S_{10} = \frac{10 * q}{2}(2 + (10-1)(z-1))[/tex]

[tex]S_{10} = 5 * q(2 + 9(z-1))[/tex]

[tex]S_{10} = 5q(2 + 9(z-1))[/tex]

[tex]S_{10} = 5q(2 + 9z-9)[/tex]

[tex]S_{10} = 5q(2 -9+ 9z)[/tex]

[tex]S_{10} = 5q(-7+ 9z)[/tex]

[tex]S_{10} = 5q(9z -7)[/tex]

Given that the first term and the second term of an arithmetic sequence is q and qz respectively, therefore:

a. Common difference (d) = [tex]\mathbf{d = q(z - 1)}[/tex]

Sum of the first n terms is: [tex]\mathbf{S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]}[/tex]

b. [tex]\mathbf{S_{10} = 5q(9z - 7)}[/tex]

Recall:

Given:

a. Common difference (d) = [tex]T_2 - T_1[/tex]

[tex]d = qz - q\\\\\mathbf{d = q(z - 1)}[/tex]

Sum of n terms:

[tex]T_n = \frac{n}{2}[2a + (n - 1)d][/tex]

[tex]S_n = \frac{n}{2}[2(q) + (n - 1)q(z - 1)]\\\\S_n = \frac{n}{2}[2q + q(n - 1)(z - 1)]\\\\S_n = \frac{qn}{2}[2 + 1(n - 1)(z - 1)]\\\\\mathbf{S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]}[/tex]

b. Sum of the first 10 terms:

[tex]S_{10} = \frac{q(10)}{2}[2 + (10 - 1)(z - 1)][/tex]

[tex]S_{10} = 5q[2 + (9)(z - 1)]\\\\S_{10} = 5q(2 + 9z - 9)\\\\[/tex]

[tex]\mathbf{S_{10} = 5q(9z - 7)}[/tex]

In summary, given that the first term and the second term of an arithmetic sequence is q and qz respectively, therefore:

a. Common difference (d) = [tex]\mathbf{d = q(z - 1)}[/tex]

Sum of the first n terms is: [tex]\mathbf{S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]}[/tex]

b. [tex]\mathbf{S_{10} = 5q(9z - 7)}[/tex]

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Answer:

7.2 inches

Step-by-step explanation:

Pythagorean Theorem

a

You've been given the longest side = 14 and the side of the triangle = 12,

Do [tex]14^{2} - 12^{2}[/tex], which will give you an answer of 52.

After doing this since you're calculating a side and you've been given the longest side already it can't possibly be an answer of 52.

Square root 52 and you'll get 7.2.

Your answer should be 7.2 inches.

Answer:

27/29

Step-by-step explanation:

hi there! if you're asking us to simplify this equation, here is my answer for you...

Answer:

x = 2.09716754…

hope this helped. have a good one!

Answer:

800

Step-by-step explanation:

Answer:

Hey buddy, here is your answer. Hope it helps you

Step-by-step explanation:

It will round off to 800 as it is below 5. Above 5 it will round off to 810.

Answer: 493,700,000

Step-by-step explanation:

Answer:

X y

2 30

3 35

4 40

Step-by-step explanation:

Putting the value of x in equation u will get the value of y

The required table of values given that y = 5x + 20 will be given as

x y

2 30

3 35

4 40

Given the linear equation y =5x + 20

In order to fill the table, we will have to calculate the y-values for the corresponding x values given.

If x = 2

y = 5(2) + 20

y = 10 + 20

y = 30

If x = 3

y = 5(3) + 20

y = 15 + 20

y = 35

If x = 4

y = 5(4) + 20

y = 20 + 20

y = 40

Hence the required table of values will be given as

x y

2 30

3 35

4 40

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Answer: 50

Step-by-step explanation:

Ok, we have the equation:

C=4000x-100x²+x³

Notice that the leading coefficient in this equation is positive, this means that as the value of x increases, also will the value of C.

Then we will not have a maximum, because as x →∞, C(x) →∞.

By doing an online search i found this same question, but with the change that we want to find x such that the average cost is minimum (this makes more sense).

Then let's do that:

The total cost for making x pieces is:

C(x) = 4000x-100x²+x³

Then the average cost, or the cost per piece, will be:

F(x) = C(x)/x = 4000 - 100*x + x^2

Notice that F(x) is a quadratic function with a positive leading coefficient, then the arms of the quadratic function will open upwards, this means that the minimum will be at the vertex.

To find the minimum, we must look at the zeros of the first derivation of F(x):

F'(x) = dF(x)/dx = -100 + 2*x

The zero is when:

F'(x) = 0 = -100 + 2*x

          100/2 = x

             50 = x

Then the number of x that minimizes the average cost is x = 50.

Answer:

2225

Step-by-step explanation:

1643 A.D. years plus 582 B.C. years in between the births

Answer: I think it would be A

Step-by-step explanation: If you do the first equation it would equal -0.1 then if you do equation A -6.7 plus -0.1 = -6.8 plus 6.8 = 0

Answer:

A

Step-by-step explanation:

It's letter A