Mathematics: Find the value of x in each case:

Find the value of x in each case: - id7878505, heysorryguys

Ответ:

DogeDogeLove

03.02.2022

Mathematics

x = 11°

4x = 44°

Step-by-step explanation:

Line BC || Line EF... (given)

BF is transversal.

$\angle BFG + \angle BFE = 180\degree\\.. (straight \: line \: \angle 's) \\ + \angle BFE = 180\degree\\\angle BFE = 180\degree-147\degree \\\angle BFE = 33\degree\\$

$\angle BED$ is exterior angle of $\angle EBF$

Hence, by remote interior angle theorem of triangle, we have:

$m\angle BED = m\angle EBF + \angle BFE \\4x = x + 33\degree \\4x - x = 33\degree \\3x = 33\degree \\x = \frac{33}{3}\\\huge \purple {\boxed {x = 11\degree}} \\4x = 4\times 11\degree \\\huge \orange{\boxed {4x = 44\degree}}$

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Ответ:

gnarlyjordan

27.01.2020

Mathematics

Decision rule : The p-value < $\alpha$ so the null hypothesis is rejected

The test statistics is t = -2.8

The manger will not be manager be satisfied that the company is not under-filling since the company is under-filling its cups

Step-by-step explanation:

From the question we are told that

The sample size is n = 16

The sample mean is $\= x = 5.85$

The standard deviation is $\sigma = 0.2$

The null hypothesis is $H_o : \mu \ge 6$

The alternative hypothesis is $H_a : \mu < 6$

The level of significance is $\alpha = 0.05$

Generally the test statistics is mathematically represented as

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

=> $t = \frac{ 5.86 - 6 }{ \frac{ 0.2}{ \sqrt{ 16} } }$

=> t = -2.8

The p-value is obtained from the z-table the value is

p-value = P(Z < -2.8 ) = 0.0025551

p-value = 0.0025551

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

Hence there is sufficient evidence to support the concern of the quality control manager. and the manger will not be satisfied that since the test proof that the company is under-filling its cups

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