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victus00 [196]
3 years ago
8

Y-intercept = (0, 2) slope = -3/7 what is the equation?

Mathematics
1 answer:
Marianna [84]3 years ago
8 0

Answer:

y = -(3/7)x + 2

Step-by-step explanation:

(see attached)

recall that the slope-intercept form of a linear equation is

y = mx + b

where m = slope = given as -(3/7)

and b = y-intercept = 2

substituting these values into the eqation:

y = mx + b

y = -(3/7)x + 2

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4 years ago
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 430 gram setting. It is
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Answer:

t=\frac{435-430}{\frac{29}{\sqrt{23}}}=0.827    

The degrees of freedom are given by:

df=n-1=23-1=22  

And the p value taking in count that we have a bilateral test we got:

p_v =2*P(t_{(22)}>0.827)=0.417  

Since the p value is higher than the significance level of 0.05 we have enough evidence to conclude that the true mean is not significantly different from 430 the required value

Step-by-step explanation:

Information given

\bar X=435 represent the mean for the weight

s=\sqrt{841}=29 represent the sample standard deviation

n=23 sample size  

\mu_o =430 represent the value that we want to verify

\alpha=0.05 represent the significance level

t would represent the statistic

p_v represent the p value

System of hypothesis

We are trying to proof if the filling machine works correctly at the 430 gram setting, so then the system of hypothesis for this case are:

Null hypothesis:\mu = 430  

Alternative hypothesis:\mu \neq 430  

In order to cehck the hypothesis the statistic for a one sample mean test is given by

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

Replacing the info given we have this:

t=\frac{435-430}{\frac{29}{\sqrt{23}}}=0.827    

The degrees of freedom are given by:

df=n-1=23-1=22  

And the p value taking in count that we have a bilateral test we got:

p_v =2*P(t_{(22)}>0.827)=0.417  

Since the p value is higher than the significance level of 0.05 we have enough evidence to conclude that the true mean is not significantly different from 430 the required value

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Read 2 more answers
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