John's salary is $1600. Peter 's salary is $400 less than John's salary. Find the ratio Peter's salary to John's salary in the simplest form.

Step-by-step explanation:

b is the answer , z-score normalization

Normalization is applied to data values in other to ensure that the data scales well, such that data values conforms to a certain range. The output of the various normalization techniques are given below ;

Given the data:

1.)

Min - Max normalization :

Value = 200 :

[tex]\frac{200 - 200}{1000 - 200} = 0[/tex]

Value = 300 :

[tex]\frac{300 - 200}{1000 - 200} = 0.125[/tex]

Value = 400 :

[tex]\frac{400 - 200}{1000 - 200} = 0.25[/tex]

Value = 600 :

[tex]\frac{600 - 200}{1000 - 200} = 0.5[/tex]

Value = 1000 :

[tex]\frac{1000 - 200}{1000 - 200} = 1[/tex]

Normalized values = (0, 0.125, 0.25, 0.5, 1)

2.)

Zscore normalization :

Using a calculator :

Value = 200 :

[tex]\frac{200 - 500}{316.227} = -0.949[/tex]

Value = 300 :

[tex]\frac{300 - 500}{316.227} = -0.632[/tex]

Value = 400 :

[tex]\frac{400 - 500}{316.227} = -0.316[/tex]

Value = 600 :

[tex]\frac{600 - 500}{316.227} = 0.316[/tex]

Value = 1000 :

[tex]\frac{1000 - 500}{316.227} = 1.581[/tex]

Normalized values = (-0.949, -0.632, -0.316, 0.316, 1.581)

3.)

Decimal Scaling :

200 / 10000 = 0.02

300/1000 = 0.03

400/1000 = 0.04

600/1000 = 0.06

1000/1000 = 0.1

Hence, the Normalized values (0.02, 0.03, 0.04, 0.06, 0.1)

Learn more : https://brainly.com/question/19132215

Answer:

store C

Step-by-step explanation:

if you divide 7.56 by 7 it'll be $1.08 per candy bar.

Answer:

$1400x  + $150

Step-by-step explanation:

Let the total cost of rent used for a month be $1400 plus a $150 application fee.

This means that;

Total cost (1 month) = $1400(1) + $150 = $1550

TO calculate the cost for x months, we will simply multiply x with the cost of rent for 1 month as shown.

The cost of rent for x month = 1400x * $150

The cost of rent for x month = $1400x  + $150 (application fee are paid only once)

Answer:

3/2

Step-by-step explanation:

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

Answer:

DEC is 30°

because 180° - 50° would be 40°

Answer:

1/10

Step-by-step explanation:

uf no me dij hi g go be h in go i

Step-by-step explanation:

1/√20

The denominator = 20

We know that

The rationalising factor of √a is √a. To rationalise the denominator of 1/√20, we multiply this by √20/√20.

1/√20

→ (1/√20) * (√20/√20)

→ [1(√20)]/[(√20)(√20)]

→ (√20)/√(20×20)

→ √20/20 Ans.

Answer:

what do the graphs look like, it would have a slope of 350

Step-by-step explanation:

Answer:

45 is 125% of 36, and 36 is 80% of 45.

Step-by-step explanation:

Answer: 7z²-9z+20

Step-by-step explanation:

PEMDAS - Please Excuse My Dear Aunt Sally - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Answer:

[tex]\boxed {n = 26}[/tex]

Step-by-step explanation:

Solve for [tex]n[/tex]:

[tex]-413.4 = -15.9n[/tex]

-Switch sides:

[tex]-15.9n = -413.4[/tex]

-Divide both sides by [tex]15.9[/tex] and expand by multiplying both numerator and denominator by [tex]10[/tex]:

[tex]\frac{-15.9n}{-15.9} = \frac{-413.4}{-15.9}[/tex]

[tex]n = \frac{-4134}{-159}[/tex]

-Divide [tex]-4134[/tex] and [tex]-159[/tex]:

[tex]n = \frac{-4134}{-159}[/tex]

[tex]\boxed {n = 26}[/tex]

Therefore, the value of [tex]n[/tex] is [tex]26[/tex].

Answer:

ans=10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10(4-7) /   -(4 - 1)

10(-3)  /    -(3)

-30    /    -3 =

10

Answer:

Answer is C

Step-by-step explanation:

There is not enough samples.

Answer:

 Yes, the variation of the sample means is small.

Step-by-step explanation:

7√10+2√10-√10

Every square root has the same radicand, which is 10. So, simply combine terms.

7 + 2 - 1 = 9 - 1 = 8

Answer: 8√10

Answer:

10) m: 6

    b: 5

    y= 6x +5

12)  m: -2

     b: -1

     y= -2x-1

14)  m: 1

     b: 0

     y= x

Step-by-step explanation:

The slope-intercept form is the form y=mx+b

m is the slope. You can find it by finding two points that the line intersects, and counting the number of units between them.

Remember the slope is "rise over run", so, the difference in y over the difference in x.

b is the y-intercept. You can find it by looking at where the line crosses the y-axis.

Hope this helps you out!

Answer:771-71/2= 350 hamburgers and 350 +71 cheeseburgers

Step-by-step explanation:

Answer:

So when u do (-4)-(-6) it equals 2.

But when u do (-7)*(-8) it equals 56

Therefore saying that (-7)*(-8)=56 is the greatest product.

Step-by-step explanation:

Answer:

2 only

Step-by-step explanation:

Only even PRIME number is 2.

Why do we need EVEN PRIME numbers?

Say we do 11*5 we get 55 but when we add one we get 56

Meaning: An odd number multiplied by an odd number plus an odd number equals EVEN number which isn't PRIME. 2 being the ONLY even prime is therefore the only number we can choose.

Answer:

63%

Step-by-step explanation:

37% did not solve problem 2

100% - 37% = 63%

Answer:

Is 3x supposed to be an exponent?

Step-by-step explanation:

Both possible answer are provided

3x as an exponent and as 6 times 3x

Answer:

There is a value of [tex]c[/tex] in (-1, 1), [tex]c = 0.577[/tex].

Step-by-step explanation:

Let [tex]f(x) = x^{3}+2\cdot x[/tex] for [tex]x \in[-1,1][/tex], we need to prove that [tex]f(x)[/tex] is continuous and differentiable to apply the Mean Value Theorem. Given that [tex]f(x)[/tex] is a polynomical function, its domain comprises all real numbers and therefore, function is continuous.

If [tex]f(x)[/tex] is differentiable, then [tex]f'(x)[/tex] exists for all value of [tex]x[/tex]. By definition of derivative, we obtain the following expression:

[tex]f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} \frac{(x+h)^{3}+2\cdot (x+h)-x^{3}-2\cdot x}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} \frac{x^{3}+3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot x+2\cdot h-x^{3}-2\cdot x}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} \frac{3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot h}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} 3\cdot x^{2}+ \lim_{h \to 0} 3\cdot x \cdot h+ \lim_{h \to 0} h^{2}+ \lim_{h \to 0} 2[/tex]

[tex]f'(x) = 3\cdot x^{2}+2[/tex] (Eq. 2)

The derivative of a cubic function is quadratic function, which is also a polynomic function. Hence, the function is differentiable at the given interval.

According to the Mean Value Theorem, the following relationship is fulfilled:

[tex]f'(c) = \frac{f(1)-f(-1)}{1-(-1)}[/tex] (Eq. 3)

If we know that [tex]f(-1) = -3[/tex], [tex]f(1) = 3[/tex] and [tex]f'(c) = 3\cdot c^{2}+2[/tex], then we expand the definition as follows:

[tex]3\cdot c^{2}+2 = 3[/tex]

[tex]3\cdot c^{2} = 1[/tex]

[tex]c = \sqrt{\frac{1}{3} }[/tex]

[tex]c \approx 0.577[/tex]

There is a value of [tex]c[/tex] in the interval (-1, 1), [tex]c = 0.577[/tex].

Answer:

2k+s-2

im assuming

Answer:

19.2 mph

Step-by-step explanation:

just trust me

Answer: Kell would be making more money in 19 hours.

Step-by-step explanation:

If you add it up, Kell makes 136$ in only 16 hours but mariko makes 133 in the full 19 hours. Which means that Kell would make more in 19 hours. The total Kell makes in 19 hours is 161.5 and $161.5 > $133. Let me know if you need any more help!

Answer:

15.29 i think

Step-by-step explanation: