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SVEN [57.7K]
2 years ago
12

I need help with this math question

Mathematics
2 answers:
kodGreya [7K]2 years ago
8 0

Answer:

<em>1.254 × </em>10^{11}<em>  </em>

Step-by-step explanation:

2.2 × 10^{6} * 5.7 × 10^{4} = (2.2 * 5.7) × ( 10^{6} * 10^{4} ) = 12.54 × 10^{10} = <em>1.254 × </em>10^{11}<em> </em>

Oksanka [162]2 years ago
4 0

1.254 × 10 ^11

would be the answer

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Silicon wafers are scored and then broken into the many small microchips that will he mounted into circuits. Two breaking method
antoniya [11.8K]

Answer:

a

The estimate is  - 0.0265\le  K \le  0.0465

b

Method B this is because the faulty breaks are less

Step-by-step explanation:

The number of microchips broken in method A is  n_1 = 400

The number of faulty breaks of method A is  X_1 = 32

 The number of microchips broken in method B is  n_2  = 400

 The number of faulty breaks of method A is  X_2 = 32

  The proportion of the faulty breaks to the total breaks in method A is

       p_1 = \frac{32}{400}

      p_1 = 0.08

 The proportion of the faulty to the total breaks in method B is

      p_2 =  \frac{28}{400}

     p_2 =  0.07

For this estimation the standard error is  

      SE =  \sqrt{ \frac{p_1 (1 - p_1)}{n_1}  + \frac{p_2 (1- p_2 )}{n_2} } }

  substituting values

       SE =  \sqrt{ \frac{0.08 (1 - 0.08)}{400}  + \frac{0.07 (1- 0.07 )}{400} } }

      SE = 0.0186

The z-values of confidence coefficient of 0.95 from the z-table is  

       z_{0.95} =  1.96

The difference between proportions of improperly broken microchips for the two breaking methods is mathematically represented as

        K = [p_1 - p_2 ] \pm z_{0.95} * SE

substituting values

        K = [0.08 - 0.07 ] \pm 1.96 *0.0186

         K  =  - 0.0265 \ or  \ K  =  0.0465

The interval of the difference between proportions of improperly broken microchips for the two breaking methods is  

      - 0.0265\le  K \le  0.0465

3 0
3 years ago
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Ede4ka [16]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Solve for x in the equation x2 - 12x+36 = 90.
cupoosta [38]

Answer:

<u>The correct answer is A. x = 6 + 3 √10</u>

Step-by-step explanation:

Let's solve for x:

x² - 12x + 36 = 90

Factoring this quadratic equation, we have:

(x - 6) (x - 6) = 90

(x - 6)² = 90

x - 6 = √90 (Square root to both sides of the equation)

x = 6 + √90 (Adding 6 to both sides of the equation)

x = 6 + √9 * 10

x = 6 + √3² * 10

x = 6 + 3 √10

<u>The correct answer is A. x = 6 + 3 √10</u>

5 0
3 years ago
How would you write 1 - x^4 before you divide it by x - 1?
devlian [24]
Order your terms by the powers of exponents in decreasing order (as is the case with pure number division hundreds, tens, ones, tenths, etc, etc) as x^n, x^n-1 etc...

(-x^4+1)/(x-1)
-x^3 rem -x^3-1
-x^2 rem -x^2-1
-x     rem -x-1
-1     rem 0

(x-1)(-x^3-x^2-x-1)

(x-1)(-x^3-x-x^2-1)

(x-1)(-x(x^2+1)-1(x^2+1))

(x-1)(-x-1)(x^2+1)
8 0
3 years ago
A solid machine part is to be manufactured as shown in the figure. The part is made by cutting a small cone off the top of a lar
stealth61 [152]
So then we do
large-small

V=(1/3)hpir^2

given
small=r=3 and h=5
V=(1/3)5pi3^2
V=5pi3
V=15pi

large, r=5, h=12
V=(1/3)5pi12^2
V=5pi48
V=240pi


large-small=240pi-15pi=225pi in^3

aprox 706.8582 in^3

7 0
3 years ago
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