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Dmitriy789 [7]
3 years ago
7

Two gallons of gasoline cost $7.96, 5 gallons cost $19.90, and 12 gallons cost $47.76. Which equation gives the total cost y of

x gallons? (It’s the first question, 7a. I don’t get it pls help will give “thanks” and brainiest answer)

Mathematics
2 answers:
Nikolay [14]3 years ago
8 0

Answer:

9.7921

Step-by-step explanation:

tatiyna3 years ago
4 0

Answer:

y=3.98x

Step-by-step explanation:

y=3.98(2)= 7.96$

y=3.98(5)= 19.90$

y=3.98(12)= 47.76$

The number of gallons times 3.98 equals the price.

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A lathe is set to cut bars of steel into lengths of 6 cm. The lathe is considered to be in perfect adjustment if the average len
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Answer:

t=\frac{5.97-6}{\frac{0.4}{\sqrt{93}}}=-0.723    

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Step-by-step explanation:

Information provided

\bar X=5.97 represent the sample mean for the length

s=0.4 represent the sample standard deviation

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\mu_o =6 represent the value that we want to test

\alpha=0.05 represent the significance level

t would represent the statistic  

p_v represent the p value for the test

System of hypothesis

We need to conduct a hypothesis in order to check if the lathe is in perfect adjustment (6cm), then the system of hypothesis would be:  

Null hypothesis:\mu = 6  

Alternative hypothesis:\mu \neq 6  

since we don't know the population deviation the statistic is:

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

Replacing in formula (1) we got:

t=\frac{5.97-6}{\frac{0.4}{\sqrt{93}}}=-0.723    

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P value

The degrees of freedom are given by:

df=n-1=93-1=92  

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p_v =2*P(t_{(92)}  

Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.

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