The finished inside diameter of the Piston ring is normally distributed with a mean of 4 inches and standard deviation of 0.01 inch. Below what value of inside diameter will 15% of the Piston ring fall

Answer: 17

Step-by-step explanation:

y= 1

(3y + 2)(7y)                

(3(1) + 2(7(1))              Replace y with given number

(3 + 2(7))                    Multiply 1 to 3 and 7

(3 + 14)                       Multiply 2 and 7

(17)                              Add 3 and 14

Answer:

1.  y = 1/7 = 0.143

2.  y = 2/3 = 0.667

Step-by-step explanation:

STEP  1 :

Equation at the end of step 1

 (3y - 2) • (7y - 1)  = 0  

STEP  2 :

Theory - Roots of a product

2.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2      Solve  :    3y-2 = 0  

Add  2  to both sides of the equation :  

                     3y = 2

Divide both sides of the equation by 3:

                    y = 2/3 = 0.667

Solving a Single Variable Equation:

2.3      Solve  :    7y-1 = 0  

Add  1  to both sides of the equation :  

                     7y = 1

Divide both sides of the equation by 7:

                    y = 1/7 = 0.143

Step-by-step explanation:

(a + b + c)^2 = (a^2 + b^2 + c^2) + 2(ab + bc + ca).

Therefore 9^2 = (a^2 + b^2 + c^2) + 2(12).

a^2 + b^2 + c^2 = 81 - 24 = 57.

Please find attached photograph for your answer.

Answer:

[tex]i^{85} = i[/tex]

Step-by-step explanation:

The options are missing; however, the question can still be solved.

Given

[tex]Number = i^{85}[/tex]

Required

Simplify

[tex]Number = i^{85}[/tex]

Rewrite 85 as 84 + 1

[tex]Number = i^{84 + 1}[/tex]

Split the expression using the law of indices

[tex]Number = i^{84} * i^1[/tex]

Rewrite 84 as 4(21)

[tex]Number = (i^{4})^{21} * i^1[/tex]

In complex numbers, [tex]i^4 = 1[/tex]

So, we have

[tex]Number = 1^{21} * i^1[/tex]

[tex]Number = 1 * i[/tex]

[tex]Number = i[/tex]

Hence;

[tex]i^{85} = i[/tex]

Answer:

4

Step-by-step explanation:

let 'x' be the unknown number

let's change the statment to an equation

2x + 10 = 6 (x-1)

2x + 10 = 6x - 6

2x - 6x = -6 - 10

-4x = -16

-4x = - 16

-4. -4

x = 4

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For any question comment me

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

5-x<8; x=-3

5-(-3)<8

5-3<8

 ^

8<8    

i think that's how you do it ? sorry if this is wrong

Answer:

48 gallons

Step-by-step explanation:

[tex] \frac{3}{4} = \frac{6}{8} \\ \frac{6}{8} - \frac{1}{8} = \frac{5}{8} \\ 5 \div 30 = 6 \\ 6 \times 8 = 48[/tex]

Answer:

The answer is below

Step-by-step explanation:

Let x represent a first place finish, y represent a second place finish and z represent a third place finish.

Since there is a total of 20 individual events, hence:

x + y + z = 20          (1)

A first place finish is 5 point, a second place finish is 3 point and third place finish is 1 point. Therefore:

5x + 3y + z = 68      (2)

The second  place finishers is as much as first and third-place  finishers combined. Hence:

y = x + z                   (3)

Solving equation 1, 2 and 3 simultaneously gives:

x = 7,  y = 10 and z = 3

This means the number of first place finishes was 7, second place finishes was 10 and third place finishes was 3

Answer:

8t

Step-by-step explanation:

Add 0 to 8 and then add the letter variable t.

Answer:

Statement 2, Statement 4, and Statement 5 all applies

Step-by-step explanation:

Statement 1:

The expression 50ℎ represents the total charge for Rock the House Digital Designs.

Rock the House Digital Designs:

Initial consultation charge of $500 + $50 for every additional hour of work for the house plans

500 + 50h

NOT TRUE

Statement 2:

The expression 75ℎ represents the total charge for Elegance Home Architects.

Elegance Home Architects:

$75 per hour for the house plans

75h

TRUE

Statement 3:

The cost for using Rock the House Digital Designs for an initial consultation only is $550.

The cost for using Rock the House Digital Designs for an initial consultation only is $500

NOT TRUE

Statement 4:

If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.

Rock the House Digital Designs = 500 + 50h

500 + 50(15)

= 500 + 750

= $1,250

Elegance Home Architects = 75h

= 75(15)

= $1,125

TRUE

Statement 5:

If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.

Rock the House Digital Designs = 500 + 50h

= 500 + 50(40)

= 500 + 2,000

= $2,500

Elegance Home Architects = 75h

= 75(40)

= $3,000

TRUE

Answer:

540 CM

Step-by-step explanation:

The perimeter means the sum of the distance around a particular shape

1M=100 CM

2M=200 CM

200+60+80+100+100=540CM

Answer:

The equation is not true. It is actually c=30

Step-by-step explanation:

First you have to divide amount of money she's selling the candy bars for which is $2.50.

If her profit was $75, you want to know how much bars she sold, you will have to divide the amount of money she's selling the candy bars for and the amount she's earning which is $75 divided by $2.50 which is 30.

So c= 30

Step-by-step explanation:

Year 2006- y = 0.09 (6) + 0.04 = 0.58

Year 2008- y = 0.09 (8) + 0.04 = 0.76

Year 2010- y = 0.09 (10) + 0.04 = 0.94

Year 2012- y = 0.09 (12) + 0.04 = 1.12

Year 2014- y = 0.09 (14) + 0.04 = 1.3

"Let x = 6 which is corresponded to 2006", so 8 would correspond to 2008, 10 would correspond to 2010, 12 would correspond to 2012, and 14 would correspond to 14. Plug 6 for x into your equation and do them same for the others.

Hopefully this helps you! :)

The answer is 256 because 2304 divided by 9 equals 256.

Step-by-step explanation:

256. I showed work just in case you need to

Answer:

addition

Step-by-step explanation:

18 ( d - 9 ) = 198

     3

divide both side by 18

d - 9 = 198  

3             18

d - 9 = 11

3

multiply both sides by 3

d - 27 = 33

add 27 to both sides

d = 33 + 27

lastly, add them together

d = 60

therefore, the last step is addition

Answer:

x³-3x²-14x-24

Step-by-step explanation:

(x-6)(x^2+3x+4)

first multiply x by x^2+3x+4

x×x²=x³

x×3x=3x²

x*4=4x               add

x³+3x²+4x ( first part)

multiply -6 by x²+3x+4

-6x²-18x-24

x³+3x²+4x -6x²-18x-24  ( simplify)

x³-3x²-14x-24

Answer:

5/8 of a pound/10/16 of a pound

Step-by-step explanation:

15/6 x 2/3 = 5/8 of a pound simplified.

Answer:

87.75

Step-by-step explanation:

Answer:

x=45/3

Step-by-step explanation:

Since total cost for equally priced three DVDs is $45. Therefore, each should cost 45 divided by 3.

Answer:

$15

Step-by-step explanation: easy 45/3 since they are equally prized which would equal 15

Answer:

The 12 4/9 in the bottom right corner is 13 7/9 and the 8 two squares to the left of it is 6 2/3.

Step-by-step explanation:

You actually did really well! It was only in the last two squares that you went wrong. The first wrong one was just the 12 4/9 in the last column and second to last row, which should be 13 7/9. Then with that the last square that is wrong is just the 8 in the 5th column and second to last row, which should be 6 2/3. Those are the only ones so you actually did really well, great job!

Hope this helped!

Answer:

2

Step-by-step explanation:

Pull out like factors :

  2x - 4  =   2 • (x - 2)

(4x +  (2 • (x - 5))) -  6 • (x - 2)

 (4x +  2 • (x - 5)) -  6 • (x - 2)

Final Answer:

2

The interior angles of a triangle add up to 180 degrees, meaning we can make an equation.

[tex]2x+36=180[/tex]

[tex]2x=144[/tex]

[tex]x=72[/tex]

Hope this helps.

頑張って!

Step-by-step explanation:

I'm not sure what you're looking for exactly, but it translates to this equation

4x + 7 = 31

Answer:

La diferencia en los tamaños entre los siguientes tamaños de teclas es de 1/32 pulgadas

Step-by-step explanation:

El número de llaves que tiene el mecánico = 20 llaves

El tamaño de la llave más grande = 3/4 pulgadas

El tamaño de la llave más pequeña = 1/8 pulgadas

La diferencia de medida entre la tecla más grande y la más pequeña = 3/4 - 1/8 = 5/8 pulgadas

El aumento de la medición entre las teclas posteriores se puede dar de la siguiente manera;

D = 5 / (20 × 8) = 1/32 pulgadas

Los tamaños de las teclas son;

(Usando Excel y Word)

3/4 pulgadas, 5/7 pulgadas, 2/3 pulgadas, 2/3 pulgadas, 5/8 pulgadas, 3/5 pulgadas, 4/7 pulgadas, 1/2 pulgadas, 1/2 pulgadas, 1/2 pulgadas, 4/9 pulgadas, 2/5 pulgadas, 3/8 pulgadas, 1/3 pulgadas, 1/3 pulgadas, 2/7 pulgadas, 1/4 pulgadas, 2/9 pulgadas, 1/5 pulgadas, 1/6 pulgadas, 1/8 pulgadas

La diferencia en los tamaños entre los tamaños de clave posteriores = 1/32 pulgadas.

Answer:

340 mm²

Step-by-step explanation:

The shaded area seems to be a parallelogram. To find the area of a parallelogram, all we need to do is multiply the height and base together. In this case, the base is 20 and the height is 17 so the area is 20 * 17 = 340 mm².

Answer:

340 mm^2.

Step-by-step explanation:

The shaded area is a parallelogram whose area = base * altitude

= 20 * 17

= 340 mm^2.

Answer:

64

Step-by-step explanation:

5x-16+6x=10x (combine like terms)

11x-16=10x (subtract 11x)

-16= -1x (divide by -1

16 = x

Now plug 16 into 5x-16.

5(16)-16 = 80-16 = 64

Answer:

see explanation

Step-by-step explanation:

The difference identity for the product is

sinxsiny = [tex]\frac{1}{2}[/tex] [ cos(x - y) - cos(x + y) ], thus

sin20sin10

= [tex]\frac{1}{2}[/tex] [ cos(20 - 10) - cos(20 + 10) ]

= [tex]\frac{1}{2}[/tex] ( cos10 - cos30 )

Answer:

1/100

Step-by-step explanation:

Answer:

0.1 can be written as 1/10

Step-by-step explanation:

0.1*10/1*10

Answer:

1.5

Step-by-step explanation:

Answer:

Improper Fraction: [tex]\frac{10}{6}[/tex]

Proper Fraction: [tex]1\frac{4}{6}[/tex]

Simplified Proper Fraction: [tex]1\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\frac{5}{6} + \frac{2}{3}[/tex] Is our equation... first we must find a common denominator! Let's take a look...

6: 1, 6, 12

3: 1, 3, 6

We see that both numbers get to 6 so we use that as our common denominator. Now we plug that in...

[tex]\frac{5*1}{6*1} +\frac{2*2}{3*2}[/tex]

We get...

[tex]\frac{5}{6} +\frac{4}{6} = \frac{10}{6}[/tex]

Now if you want to leave it as an improper fraction your answer will be [tex]\frac{10}{6}[/tex]. However, if you want you answer to be a proper fraction your answer is [tex]1\frac{4}{6}[/tex] which can be simplified further to,[tex]1\frac{2}{3}[/tex].

Whew! What a toughie! We showed that math problem!