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3 years ago

Two angles are supplementary. The measure of one angle is 5 greater than 40% of the other. Find the measures of both angles.

Mathematics

1 answer:

Irina18 [472]3 years ago

6 0

Answer:

Step-by-step explanation:

0.40beta%2Bbeta=180-5

1.40beta=175

beta=175%2F1.40

highlight%28beta=125%29�

then alpha%2B125=180 =>alpha=180-125 =>highlight%28alpha=55%29

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2 years ago

The diameters of aluminum alloy rods produced on an extrusion machine are known to have a standard deviation of 0.0001 in. A ran

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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

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

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

$p-value = 0.000$

seeing that

$p-value < \alpha$ we reject the null hypothesis

The critical value of

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

The margin of error is mathematically represented as

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

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

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3 years ago

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Answer:

see the explanation in the procedure

Step-by-step explanation:

The complete question is

Tanisha and Rebecca are signing up for the new cellphone plans that only charge for the number of minutes and everything else is included in a monthly fee. Their plans are as follows:

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