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FinnZ [79.3K]
3 years ago
12

1.2÷0.375−0.2/6 4/25 ÷15 2/5 +0.8 = 0.016÷0.12+0.7/x pls solve for x with explaination

Mathematics
1 answer:
masha68 [24]3 years ago
6 0

The value of x is 0.1810

Step-by-step explanation:

Given the equation as;

1.2÷0.375 - 0.2/6 * 4/25 ÷ 15 2/5 +0.8 = 0.016 ÷ 0.12 +0.7/x

This can be written as;

1.2÷0.375-0.4/75÷77/5+0.8=0.016÷0.12+0.7/x

Apply BODMAS style (Brackets, Of, Division,Multiplication,Addition and Subtraction) where in this case you start with division

(1.2÷0.375)-(0.4÷75) ÷ 77/5 +0.8 = (0.016÷0.12) +0.7/x

3.2 - 0.00533 ÷ 15.4 +0.8 =0.133+0.7/x

3.2-0.0003461+0.8=0.133+0.7/x---------------apply addition

3.2+0.8 -0.0003461-0.133=0.7/x

4-0.0003461-0.133=0.7/x

3.867=0.7/x

0.7/3.867=x

0.1810=x

Learn More

https://brainly.in/question/3982019

https://brainly.in/question/11097160

Keywords : operations, BODMAS rule

#LearnwithBrainly

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Step-by-step explanation:

Information given

\bar X=370.69 represent the sample mean

s=24.36 represent the sample standard deviation

n=26 sample size  

\mu_o =6*60 =360 s represent the value to verify

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to check if the true mean is at most 360 seconds, the system of hypothesis would be:  

Null hypothesis:\mu \leq 360  

Alternative hypothesis:\mu > 360  

The statistic for this case would be given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

We can replace in formula (1) the info given like this:  

t=\frac{370.69-360}{\frac{24.36}{\sqrt{26}}}=2.238  

The degrees of freedom are given by:

df = n-1= 26-1=25

And the p value would be:

p_v =P(t_{25}>2.238)=0.0172  

If we use a 5% of significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 360 second or 6 minutes. We need to be careful since if we use a significance level of 1% the result change

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