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3 years ago

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Mathematics

1 answer:

miskamm [114]3 years ago

4 0

Answer:

a)September, August, July

b)October

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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

What is the domain and range of the graph?

I am Lyosha [343]

Answer:5/8

Step-by-step explanation:

I just need more Brainly points

7 0

3 years ago

What was a social effect of Queen Hatshepsut’s economic policies?

arlik [135]

Answer:

the answer is the kingdom was peaceful and prosperous

Step-by-step explanation:

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3 years ago

What type of transformation takes the graph of f(x)=|x| to the graph of g(x)=−3+|x|?

crimeas [40]

Answer:

vertical translation of 3 units down

Step-by-step explanation:

we have

$f\left(x\right)=\left|x\right|$ ----> the parent function

The vertex of f(x) is the point (0,0)

$g\left(x\right)=-3+\left|x\right|$ ----> the transformed function

The vertex of g(x) is the point (0,-3)

The rule of the translation is

f(x) -----> g(x)

(0,0) ----> (0,-3)

(x,y) ----> (x,y-3)

That means ---> The translation is 3 units down

see the attached figure to better understand the problem

7 0

3 years ago

Factor out the greatest common factor. <br><br> x^3-3x^2-x

Andrews [41]

Answer:

Factor out the greatest common factor.

x^3-3x^2-x

→ x(x^2-3x-1)

6 0

3 years ago

Help me please help me please help me please help​

Help me please help me please help me please help