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barxatty [35]
2 years ago
10

How to solve if 5a=6 and 7b=8, 35ab= (please explain, i need explaination)

Mathematics
1 answer:
ser-zykov [4K]2 years ago
6 0

Answer:

35ab = 48

Step-by-step explanation:

given

5a = 6 ( divide both sides by 5 )

a = \frac{6}{5}

and

7b = 8 ( divide both sides by 7 )

b = \frac{8}{7}

substitute these values for a and b into the expression and simplify

35ab

= 35 × \frac{6}{5} × \frac{8}{7} ( divide 35 and 5 by 5 )

= 7 × 6 × \frac{8}{7}

= 42 × \frac{8}{7} ( divide 42 and 7 by 7 )

= 6 × 8

= 48

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mel-nik [20]

Answer:

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b) p_v =2*P(z>2.250)=0.0244  

If we compare the p value and the significance level given we see that p_v we have enough evidence to reject the null hypothesis at 5% of significance.

Step-by-step explanation:

Data given and notation

n=114 represent the random sample taken

\hat p=0.684 estimated proportion of people that their approval rating might have changed

p_o=0.58 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Hypothesis

We need to conduct a hypothesis in order to test the claim that true proportion of people that their approval rating might have changed is 0.58 or no.:  

Null hypothesis:p=0.58  

Alternative hypothesis:p \neq 0.58  

Part a

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

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Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.684 -0.58}{\sqrt{\frac{0.58(1-0.58)}{114}}}=2.250  

Part b: Statistical decision  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z>2.250)=0.0244  

If we compare the p value and the significance level given we see that p_v we have enough evidence to reject the null hypothesis at 5% of significance.

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3 years ago
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Answer:

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