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Ludmilka [50]
3 years ago
8

Use a related equation that has the variable on one side. Then simplify on the other side. 12n = 48

Mathematics
1 answer:
vodomira [7]3 years ago
4 0
N = 4 that would have to be the answer
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The diameters of aluminum alloy rods produced on an extrusion machine are known to have a standard deviation of 0.0001 in. A ran
Murljashka [212]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The null hypothesis is rejected this means that \mu \ne  0.5025

The 95% confidence interval is 0.5045608 <  \mu  < 0.5046392

Step-by-step explanation:

From the question we are told that

The standard deviation is s= 0.0001

The sample size is n = 25

The sample mean is \= x =  0.5046 \ in

The population mean is \mu  =  0.5025 \ in

The null hypothesis is H_o  :  \mu =  0.5025

The alternative hypothesis is H_a  :  \mu \ne  0.5025

The test statistics is mathematically represented as

t =  \frac{0.5046 -  0.5025}{ \frac{0.0001}{\sqrt{25} } }

t =  105

So the p-value from the z-table is mathematically represented as

p-value  =  2 *  P( z >  105)

p-value  = 0.000

seeing that

p-value <  \alpha we reject the null hypothesis

The critical value of

\frac{\alpha }{2} obtained from the normal distribution table is

Z_{\frac{\alpha }{2} } =  1.96

The margin of error is mathematically represented as

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

=> E = 1.96 *\frac{0.0001}{\sqrt{25} }

=> E =3.92 *10^{-5}

The 95% confidence level is mathematically represented as

\= x  -  E  <  \mu  < \= x  + E

=> 0.5046  -  3.92 *10^{-5}  <  \mu  < 0.5046  +  3.92 *10^{-5}

=> 0.5045608 <  \mu  < 0.5046392

8 0
3 years ago
BRAINLIEST!!!<br> Find the probability that a point chosen at random lies in the shaded region.
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the answer is 0.56, because there’s 56 shades squares.

Explanation: there’s 100 squares, 56 are shaded 56/100.

5 0
4 years ago
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Gemiola [76]

Answer:

I don't know

Step-by-step explanation:

You didn't give a picture to see the rectangle.

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2 years ago
Write the greatest common factor for 12 &amp; 32
ANTONII [103]
<span>GCF (12,32) = 4
4 is your answer</span>
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What are the radius and diameter of the circle shown below?
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The radius is 6 inches the diameter is 12 inches
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