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liq [111]
3 years ago
9

PLEASE HELP QUICK I NEED IT TO PASS

Mathematics
2 answers:
Marat540 [252]3 years ago
7 0

Answer:

Its 81

Step-by-step explanation:

stepladder [879]3 years ago
4 0
81 good luck bestie :)
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3. A new process has been developed for applying pho­ toresist to 125-mm silicon wafers used in manufac­ turing integrated circu
dlinn [17]

Answer:

a

The null hypothesis is  H_o : \mu  =  13.4000

The alternative hypothesis is  H_a :  \mu \ne  13.4000

The null hypothesis is rejected

b

The  99% confidence level is   13.3930  < \mu  < 13.3994

Step-by-step explanation:

From the question we are told that

  The sample size is  n =  10

   The  population mean is  \mu =  13.4 000 \  angstroms

   The level of significance is  \alpha =  0.05

   The  sample data is  

13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002

Generally the sample mean is mathematically represented as

        \= x =  \frac{13.3987+ 13.3957\cdots +13.4002 }{10}

=>     \= x = 13.3962

Generally the sample standard deviation  is mathematically represented as

    \sigma = \sqrt{\frac{\sum (x_i - \= x)^2}{n} }

=> \sigma = \sqrt{\frac{ (13.3987 - 13.3962)^2 +  (13.3987 - 13.3962)^2 + \cdots + (13.3987 -13.4002)^2  }{10} }

=>  \sigma =0.0039

The null hypothesis is  H_o : \mu  =  13.4000

The alternative hypothesis is  H_a :  \mu \ne  13.4000

Generally the test statistics is mathematically represented as

      z  =  \frac{\= x - \mu}{\frac{\sigma}{\sqrt{n} } }

=>    z  =  \frac{13.3962 -  13.4000}{\frac{0.0039}{\sqrt{10} } }

=>   z =  3.08

Generally the p-value is mathematically represented as

       p-value  = 2P( z   >  3.08)

From the z-table  P(z >  3.08)= 0.001035

So

       p-value  = 2* 0.001035

      p-value  = 0.00207

So from the obtained value we see that

     p-value  < \alpha

Hence the null hypothesis is rejected

Consider the b question

Given that the confidence level is  99%  then the level of significance is

    \alpha =  (100 -99)\%

=> \alpha =  0.01

Generally from the normal distribution table critical value  of  \frac{\alpha }{2} is  

    Z_{\frac{\alpha }{2} } =  2.58

Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma}{\sqrt{n} }

=>   E = 2.58  *  \frac{0.0039}{\sqrt{10} }

=>    E = 0.00318

Generally the 99% confidence interval is mathematically represented as

     13.3962   - 0.00318  < \mu  < 13.3962   +  0.00318

=>   13.3930  < \mu  < 13.3994

 

7 0
3 years ago
A 1200 gram sample of radioactive matter will completely decay (be undetectable) in 10 hours. There exists a set of ordered pair
julia-pushkina [17]

Using it's concept, the range of the function is given as follows:

0 ≤ m ≤ 1200.

<h3>What is the range of a function?</h3>

The range of a function is the set that contains all possible output values for the function.

For this problem, we have to consider these two bullet points next, considering the mass is the output value of the function.

  • The smallest possible mass for the substance is of 0 grams, as after the substance decays to 0 grams, it will not assume a negative value, it will just disappear.
  • The greatest possible mass for the substance is the initial mass of 1200 grams, as the substance does not adquire mass with time, it just loses it.

Considering these masses, the range of the function is given as follows:

0 ≤ m ≤ 1200.

More can be learned about the range of a function at brainly.com/question/10197594

#SPJ1

3 0
1 year ago
Solve system by elimination <br> -5x-10y=-20<br> 10x+10y=0
bekas [8.4K]

Answer:

(-4,4)

Step-by-step explanation:

-5x-10y=-20

10x+10y=0

divide both sides by 2

-5x-10y=-20

5x+5y=0

that makes

-5y=-20

divide both sides by -5

y=4

now substitute 4 for y

10x+10 x 4=0

multiply

10x+40=0

subtract

10x=-40

divide

x=-4

7 0
3 years ago
Read 2 more answers
3.
Lynna [10]

Answer:

the answer is B {(0,-4),(2,6)(,4,16)

happy to help

3 0
3 years ago
Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus $6 sign, for each hour of work.
Shkiper50 [21]

ya the answ is good to hear ok bye t

8 0
3 years ago
Read 2 more answers
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