What is the value of 6/x+2x,when x=3

Answer:

a) [tex]\frac{(8)(30.23)^2}{20.09} \leq \sigma^2 \leq \frac{(8)(30.23)^2}{1.65}[/tex]

[tex] 363.90 \leq \sigma^2 \leq 4430.80[/tex]

Now we just take square root on both sides of the interval and we got:

[tex] 19.08 \leq \sigma \leq 66.56[/tex]

b) For this case we are 98% confidence that the true deviation for the population of interest is between 19.08 and 66.56

Step-by-step explanation:

423.6, 487.3, 453.2, 402.9, 483.0, 477.7, 442.3, 418.4, 459.0

Part a

The confidence interval for the population variance is given by the following formula:

[tex]\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}[/tex]

On this case we need to find the sample standard deviation with the following formula:

[tex]s=sqrt{\frac{\sum_{i=1}^8 (x_i -\bar x)^2}{n-1}}

And in order to find the sample mean we just need to use this formula:

[tex]\bar x =\frac{\sum_{i=1}^n x_i}{n}[/tex]

The sample deviation for this case is s=30.23

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

[tex]df=n-1=9-1=8[/tex]

The Confidence interval is 0.98 or 98%, the value of [tex]\alpha=0.02[/tex] and [tex]\alpha/2 =0.01[/tex], and the critical values are:

[tex]\chi^2_{\alpha/2}=20.09[/tex]

[tex]\chi^2_{1- \alpha/2}=1.65[/tex]

And replacing into the formula for the interval we got:

[tex]\frac{(8)(30.23)^2}{20.09} \leq \sigma^2 \leq \frac{(8)(30.23)^2}{1.65}[/tex]

[tex] 363.90 \leq \sigma^2 \leq 4430.80[/tex]

Now we just take square root on both sides of the interval and we got:

[tex] 19.08 \leq \sigma \leq 66.56[/tex]

Part b

For this case we are 98% confidence that the true deviation for the population of interest is between 19.08 and 66.56

Answer: The system of equations is:

x + 2y + 2 = 4

y - 3z = 9

z = - 2

The solution is: x = -22; y = 15; z = -2;

Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.

The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a Row Echelon Form, which satisfies the following conditions:

For this question, the matrix is a Row Echelon Form and is written as:

[tex]\left[\begin{array}{ccc}1&2&2\\0&1&3\\0&0&1\end{array}\right][/tex][tex]\left[\begin{array}{ccc}4\\9\\-2\end{array}\right][/tex]

or in system form:

x + 2y + 2z = 4

       y + 3z = 9

               z = -2

Now, to determine the variables:

z = -2

y + 3(-2) = 9

y = 15

x + 30 - 4 = 4

x = - 22

The solution is (-22,15,-2).

Answer:

4.8 * 10^15 Newton

Step-by-step explanation:

Electric field is electric force  created by a unit charge. Mathematically it is defined as

Electric field = electric force /charge in coulomb  _____(1)

given

Electric field =  1.2 * 10^6 N/C

charge = 4.0 * 10^9 C

substituting above value in equation 1 we have

1.2 * 10^6 N/C =  electric force/4.0 * 10^9 C

=> 1.2 * 10^6 N/C * 4.0 * 10^9 C = electric force

=> electric force = 4.8 * 10^15

Thus, electric force acting on the toner particle is 4.8 * 10^15 Newton

Answer:

C: x = 10

Step-by-step explanation:

PO = QR (so having equal central angles)

Now

4x-11 = 2x+9

4x-2x = 9+11

2x = 20

Dividing both sides by 2

x = 10

Answer:

x=10

Step-by-step explanation:

2x+9=4x-11

-2x      -2x

9=2x-11

+11  +11

20=2x

:2     :2

x=10

Answer:

4 1/2 meters is equal to 4.5

Step-by-step explanation:

This is the correct answer to 4 1/2 meters. :)

Two shaped are merged so

One is square and the other is trapezoid so,

AREA OF SQUARE=4*4

=16

AREA OF TRAPEZOID=(2+4)x4/2

So,rhe answer will be

12+16=28

HOPE IT IS HELPFUL

Answer: 28 units^2

Step-by-step explanation:

You basically have a square and a trapezoid merged together

4*4=16 for the square

(2+4)*4/2=12 for the trapezoid

so

12+16=28 is your answer

Answer:

The temperature difference in 5 minutes will be 12.38ºC

Step-by-step explanation:

The difference in temperature after t minutes is given by the following equation:

[tex]T(t) = T(0)(1-r)^{t}[/tex]

In which T(0) is the initial temperature and r is the decrease rate, as a decimal.

Decreases by 5% every minute.

This means that [tex]r = 0.05[/tex]

What will the temperature difference be in 5 minutes if it is currently 16°C

This is T(5) when [tex]T(0) = 16[/tex]

So

[tex]T(t) = T(0)(1-r)^{t}[/tex]

[tex]T(t) = 16(1-0.05)^{t}[/tex]

[tex]T(t) = 16*(0.95)^{t}[/tex]

[tex]T(5) = 16*(0.95)^{5} = 12.38[/tex]

The temperature difference in 5 minutes will be 12.38ºC

Answer:

5 times

Step-by-step explanation:

There is a 1/2 (50%) chance each time it is flipped that it will land on heads. Therefore, if flipped 10 times, 1/2 of 10 is 5

Answer:

by finding something to factor it by

Answer:

1) first eliminate constant (number without variable) you eliminate constant by doing the inverse operation (if constant is being added, then subtract) (if constant is being subtracted, then add it)

ex: if  x+9=32

subtract 9 from both sides to get rid of it

x=23

2) if there is another constant but this constant is being multiplied/divided then do the opposite operation to remove it

you could multiply by 3 on both sides:

x+9=69

x=60

Answer:

z=1/9w

Step-by-step explanation:

Equation w = 9z best describes the proportional relationship between w and z.

Data has been given
w = 18   45   81
z  =  2     5     9

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.

Clearly from the data as z increases w increases so it implies w is directly proportional to z.
w ∝ z
w = kz - - - - - -  (1)
Where k is proportionality constant.
From data put w = 18 and z = 2
18=k*2
k=18/2
k=9
put k in equation w =kz
w = 9z
It shows that w is directly proportional to z by the constant of proportionality 9.

Thus equation w = 9z best describes the proportional relationship between w and z.

Learn more about proportionality here:
https://brainly.com/question/22620356

#SPJ2

Answer:

  (x, y, z) = (1, -3, 1)

Step-by-step explanation:

Any number of calculators and/or web sites can be used to solve this system of equations. It can be helpful to familiarize yourself with your graphing calculator's capabilities in this area. The solution from one such site is shown below:

  (x, y, z) = (1, -3, 1)

__

Both y and z show up in these equations with coefficients that have a magnitude of 1. This means you can easily use one of those equations to create a substitution for y or for z.

Using the first equation to write an expression for z, we have ...

  z = 4x +3y +6

Substituting that into the second and third equations gives ...

  6x -y +3(4x +3y +6) = 12   ⇒   18x +8y = -6

  8x +2y +4(4x +3y +6) = 6   ⇒  24x +14y = -18

Now, we can subtract 4 times the first equation from 3 times the second to eliminate x:

  3(24x +14y) -4(18x +8y) = 3(-18) -4(-6)

  10y = -30

  y = -3

Substituting into the first equation (of the equations in x and y), we have ...

  18x +8(-3) = -6

  18x = 18

  x = 1

Finally, substituting into the equation for z gives ...

  z = 4(1) +3(-3) +6 = 1

The solution is (x, y, z) = (1, -3, 1).

___

The equations can also be solved using Cramer's rule, elimination, matrix methods, and other means. When solving by hand, the method of choice will often depend on what you're familiar with and what the coefficients are.

Answer:

24?

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

∑ᵢ₌₁³ (4 × (½)ⁱ⁻¹)

This is the sum of the first 3 terms of the sequence.

The first 3 terms are:

4 × (½)¹⁻¹ = 4

4 × (½)²⁻¹ = 2

4 × (½)³⁻¹ = 1

So the sum is:

∑ᵢ₌₁³ (4 × (½)ⁱ⁻¹) = 4 + 2 + 1 = 7

Answer:

[/tex]y2=e^(-x)[/tex]

Step-by-step explanation:

CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLANATION

Answer: [tex]x = \frac{35}{2}[/tex] or [tex]x = 17.5[/tex]



Step-by-step explanation:

[tex]\frac{4}{7} = \frac{10}{x}[/tex]

[tex]\frac{4x}{4} = \frac{70}{4}[/tex]

[tex]x = \frac{35}{2}[/tex]

or [tex]x = 17.5[/tex]

Answer:

1/8

Step-by-step explanation:

Answer:

When you simplify it, you get the answer of 1.

Step-by-step explanation:

Order of operation rules are required that you multiply and divide before you carrying out addition and/or subtraction.

So, simplify 2/3 / (-4) first, obtaining -1/6.

Now, you have -1/6 - 1/6 + 8/6, which combines to 1 or 6/6.

Answer:

a) margin of error ME = 5.77

b) Margin of error becomes smaller

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

x+/-ME

Where margin of error ME = zr/√n

a)

Given that;

Mean = x

Standard deviation r = 25

Number of samples n = 72

Confidence interval = 95%

z(at 95% confidence) = 1.96

Substituting the values we have;

ME = 1.96(25/√72)

ME = 1.96(2.946278254943)

ME = 5.774705379690

ME = 5.77

b)

For n = 89

ME = 1.96(25/√89)

ME = 1.96(2.649994700015)

ME = 5.193989612031

ME = 5.19

5.19 is smaller than 5.77 in a) above. So,

Margin of error becomes smaller

Answer:

  5.972 cm

Step-by-step explanation:

Using implicit differentiation, we have ...

  0 = (2πr +π(√(r^2+h^2) +r^2/√(r^2+h^2))·dr/dh +πrh/√(r^2+h^2)

For the given values of r and h, this is ...

  0 = (12π +π(10 +36/10))dr/dh +48π/10

  dr/dh = -4.8/(12+13.6) = -0.1875

Then the tangent line is ...

  r = -0.1875(h -8) +6

__

For a height of 8 +15/100 = 8.15, the estimated value of r is ...

  r = -0.1875(8.15 -8) +6 = -0.1875(0.15) +6 = 5.971875

The estimated value of r is 5.972 cm.

Answer:

-6ab^3sqrtac^2 option b

Step-by-step explanation:

i just did it

Answer:

Step-by-step explanation:

Answer:

cos(β)  = √6/3

Step-by-step explanation:

Given  β lies in the fourth quadrant and sin (β) = -√3/3

we know that the trigonometry formula

sin²(β)+cos²(β) = 1

cos²(β) = 1- sin²(β)

cos²(β) = 1- ( -√3/3)²

           = [tex]1-\frac{3}{9} } } =\frac{6}{9}[/tex]

cos(β) =  √6/9 = √6/3

we Know that β lies in the fourth quadrant  so cos(β) is Positive

cos(β)  = √6/3

Answer:

22 is the answer but which country are you from

Answer:

22

Step-by-step explanation:

Answer:

XY = 5268

Step-by-step explanation:

XY = XZ (originating from the same point)

85b+83=91b-283

85b-91b=-283-83

-6b=-366

Dividing both sides by -6

b = 61

Now

XY = 85b+83

= 85(61)+83

= 5268

Answer:

(A)129 Pounds

Step-by-step explanation:

Let x be the number of 23% zink alloy

Therefore:

Since the total result is 516 pounds

The number of pounds of 42% zink alloy =516-x pounds

We then have the resulting equation:

0.23x+0.42(516-x)=0.3725*516

0.23x+216.72-0.42x=192.21

Colect like terms

0.23x-0.42x=192.21-216.72

-0.19x=-24.51

Divide both sides by 129

x=129 pounds

Therefore, the number of pounds of 23% zink alloy that must be mixed is 129 pounds.

Answer:

8

Step-by-step explanation:

[tex] a = 1 - \sqrt{2} [/tex]

[tex] (a - \dfrac{1}{a})^3 = [/tex]

[tex] = (\dfrac{a^2}{a} - \dfrac{1}{a})^3 [/tex]

[tex] = (\dfrac{a^2 - 1}{a})^3 [/tex]

[tex] = (\dfrac{(a + 1)(a - 1)}{a})^3 [/tex]

[tex] = (\dfrac{(1 - \sqrt{2} + 1)(1 - \sqrt{2} - 1)}{a})^3 [/tex]

[tex]= (\dfrac{(2 - \sqrt{2})(-\sqrt{2})}{1 - \sqrt{2}})^3[/tex]

[tex]= (\dfrac{(-2\sqrt{2} + \sqrt{2}\sqrt{2}}{1 - \sqrt{2}})^3[/tex]

[tex]= (\dfrac{2 - 2\sqrt{2}}{1 - \sqrt{2}})^3[/tex]

[tex]= (\dfrac{2(1 - \sqrt{2})}{1 - \sqrt{2}})^3[/tex]

[tex] = 2^3 [/tex]

[tex] = 8 [/tex]

Answer:

6*3 = 18 candies - Ahmad

6*4 = 24 candies - Zara

6*5 = 30 candies - Bilal

Step-by-step explanation:

3+4+5= 12 parts

72 : 12 = 6 candies is one part

6*3 = 18 candies - Ahmad

6*4 = 24 candies - Zara

6*5 = 30 candies - Bilal

Answer:

  0.78%

Step-by-step explanation:

The percentage tax rate required is t such that ...

  825t = 6.5 . . . . . milliions of dollars

  t = 6.5/825

As a percentage, ...

  t = 6.5/825 × 100% = 0.7878...% ≈ 0.78%

_____

Comment on rounding

Ordinarily, this value would be rounded to 0.79%. Property tax rates are often expressed in mils, or dollars per thousand. In that form, the tax rate would be 7.88‰ when rounded to two decimal places.

Answer:

  D.  129°

Step-by-step explanation:

Angles XZY and XZV form a linear pair, so are supplementary.

 angle XZV = 180° -51° = 129°

Answer:

my butt

Step-by-step explanation:

my poop

dxhfhdjdjsjajalalalalqlqlqlalalal

Answer:

Step-by-step explanation:If you choose any 3 of the 7 vertices, you can connect them with lines to create a unique triangle.

So, the question becomes "In how many different ways can we select 3 vertices from 7 vertices?"

Since the order in which we select the 3 vertices does not matter, we can use COMBINATIONS.

We can select 3 vertices from 7 vertices in 7C3 ways.

Answer:

y = x/6 - 17/6

Step-by-step explanation:

     x - 6y = 17

<=>6y = x - 17  

<=> y  =x/6 - 17/6

Hope this helps!