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IgorLugansk [536]
3 years ago
9

Indicate the equation

Mathematics
1 answer:
KiRa [710]3 years ago
5 0

Answer:

Slope - intercept form

    y = \frac{3}{5} x - \frac{26}{5}

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the point (2,-4) and slope m = \frac{3}{5}

Equation of the straight line passing through the point (x₁, y₁) and slope 'm'

     y - y₁ = m( x-x₁ )

    y - (-4) =  \frac{3}{5}( x-2)

⇒  5( y+4) = 3(x-2)

⇒  5 y +20 = 3x -6

⇒ 3x - 5 y -6-20 =0

⇒ 3 x -5y -26=0

<u><em>Step(ii):-</em></u>

Slope - intercept form

       5 y = 3x -26

         y = \frac{3}{5} x - \frac{26}{5}

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A letter is chosen from the word 'brilliant'. Determine the probability that it will be: Give your answers in their lowest terms
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Step-by-step explanation:

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How do I find the slope if the fraction is improper? Do I leave it the same or?
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The valve was tested on 270 engines and the mean pressure was 6.6 lbs/square inch. Assume the variance is known to be 0.49. If t
BlackZzzverrR [31]

Answer:

z=\frac{6.6-6.5}{\frac{0.7}{\sqrt{270}}}=2.347      

The p value for this case would be given by"

p_v =2*P(z>2.347)=0.0189  

For this case since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is significantly different from 6.5 lbs/square inch at 10% of significance. So then there is not enough evidence to conclude that the valve does not perform to the specifications

Step-by-step explanation:

Information given

\bar X=6.6 represent the sample mean

s=\sqrt{0.49}= 0.7 represent the population deviation

n=270 sample size      

\mu_o =6.5 represent the value that we want to test    

\alpha=0.1 represent the significance level

z would represent the statistic

p_v represent the p value for the test

Hypothesis to verify

We want to verify if the true mean for this case is equal to 6.5 lbs/square inch or not , the system of hypothesis would be:      

Null hypothesis:\mu= 6.5      

Alternative hypothesis:\mu \neq 6.5      

The statistic for this case is given by:

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

And replacing we got:

z=\frac{6.6-6.5}{\frac{0.7}{\sqrt{270}}}=2.347      

The p value for this case would be given by"

p_v =2*P(z>2.347)=0.0189  

For this case since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is significantly different from 6.5 lbs/square inch at 10% of significance. So then there is not enough evidence to conclude that the valve does not perform to the specifications

8 0
4 years ago
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