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Reika [66]
3 years ago
14

If x=4 what is the value of 4/5 (2x +7) - 2/3 (2x + 7)

Mathematics
2 answers:
konstantin123 [22]3 years ago
6 0

Answer:

2

Step-by-step explanation:

if x=4

4/5 (2(4)+7) - 2/3(2(4)+7)

4/5 (8+7) - 2/3(8+7)

4/5(15) -2/3(15)

12 - 10

2

I am Lyosha [343]3 years ago
3 0

Answer:

2

Step-by-step explanation:

4/5(2(4) + 7)   -  2/3( 2(4) + 7 )

4/5(8+7)  - 2/3(8 + 7 )

4/5 (15) - 2/3(15)

12 - 10 = 2

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Answer:

t=\frac{56.7-60}{\frac{30}{\sqrt{225}}}=-1.65    

df=n-1=225-1=224  

The p value would be:

p_v =P(t_{(224)}  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we cna conclude that the true mean is less than 60 at 10% of significance.

Step-by-step explanation:

Information given

\bar X=56.7 represent the sample mean of interest

s=20 represent the sample standard deviation

n=225 sample size  

\mu_o =60 represent the value to check

\alpha=0.1 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test

System of hypothesis

we want to check if the true mean is lower than 60, so thn the system of hypothesis are:

Null hypothesis:\mu \geq 60  

Alternative hypothesis:\mu < 60  

The statistic is given by:

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

Replcing into the formula we got:

t=\frac{56.7-60}{\frac{30}{\sqrt{225}}}=-1.65    

P value

The degrees of freedom are given by:

df=n-1=225-1=224  

The p value would be:

p_v =P(t_{(224)}  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is less than 60 at 10% of significance.

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