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3 years ago

Find the missing side .Round to the nearest tenth.

Mathematics

1 answer:

amid [387]3 years ago

5 0

Use sine, cosine or tangent of your calculator.
e.g. Q.7
$\tan(16) = \frac{x}{14}$

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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

(dont answer if you dont know pleas) please help

Dafna1 [17]

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8 0

3 years ago

Which of the following pairs of points will create a horizontal line when connected?

Bumek [7]

Answer:

D is the answer

Step-by-step explanation:

D is the answer because they don't go opposite ways on a graph (Ex: going higher and lower)

5 0

3 years ago

Read 2 more answers

P(S) = 5/8<br> P(T) = 1/8<br> If S and T are mutually exclusive events, find P(S or T),

Aleks04 [339]

Answer:

P(S ∪ T) = 3/4

Step-by-step explanation:

Given:

P(S) = 5/8
P(T) = 1/8

For mutually exclusive events S and T,

P(S ∪ T) = P(S) + P(T)

Therefore,

P(S ∪ T) = (5/8) + (1/8)

= 6/8

= 3/4

6 0

2 years ago

Roy spends $3.50 each<br> week on chips. How much will he spend on chips in 52 weeks?

IRINA_888 [86]

Answer:

182

Step-by-step explanation:

3.50 x 52 = 182

5 0

3 years ago

Read 2 more answers