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4 years ago

12 minus b=-2 solve for b

Mathematics

2 answers:

ycow [4]4 years ago

5 0

12 - b = -2
12 + 2 = b
14 = b

Vika [28.1K]4 years ago

5 0

Answer:

$\: \: \: \: \: \: 12 - b = - 2 \\ = > - b = - 2 - 12 \\ = > - b = - 14 \\ = > b = 14$

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Complete Question

The complete question is shown on the first uploaded image

Answer:

the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

The test statistics is $t = - 1.761$

The p-value is $p = P(Z < t ) = 0.039119$

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Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 122$

The sample size is n= 38

The sample mean is $\= x = 116 \ feet$

The standard deviation is $\sigma = 21$

Generally the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

Generally the test statistics is mathematically evaluated as

$t = \frac { \= x - \mu }{\frac{ \sigma }{ \sqrt{n} } }$

substituting values

$t = \frac { 116 - 122 }{\frac{ 21 }{ \sqrt{ 38} } }$

$t = - 1.761$

The p-value is mathematically represented as

$p = P(Z < t )$

From the z- table

$p = P(Z < t ) = 0.039119$

$p \ge 0.01$

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X/4 + 12 = 5
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x/4 + 12 - 12 = 5 - 12
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next, to get rid of the division by 4, multiply both sides by 4
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