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ololo11 [35]
3 years ago
15

What is the missing the step in this proof DE = 1/2AT DE = AT

Mathematics
1 answer:
Vlad [161]3 years ago
3 0
What u do on one side, u do on the other. the 1/2
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An automobile manufacturer has given its car a 52.6 miles/gallon (MPG) rating. An independent testing firm has been contracted t
Arte-miy333 [17]

Answer:

Null hypothesis:\mu = 52.6  

Alternative hypothesis:\mu \neq 52.6  

z=\frac{52.8-52.6}{\frac{1.6}{\sqrt{250}}}=1.976    

p_v =2*P(z>1.976)=0.0482  

Since the p value is lower than the significance level wedon't have enough evidence to conclude that the true mean is significantly different from 52.6 MPG.

Step-by-step explanation:

Information provided

\bar X=52.8 represent the sample mean  for the MPG of the cars

\sigma=1.6 represent the population standard deviation

n=250 sample size  of cars

\mu_o =52.6 represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test

Hypothesis

We need to conduct a hypothesis in order to check if the true mean of MPG is different from 52.6 MPG, the system of hypothesis would be:  

Null hypothesis:\mu = 52.6  

Alternative hypothesis:\mu \neq 52.6  

Since we know the population deviation the statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

Calculate the statistic

Replacing we have this:

z=\frac{52.8-52.6}{\frac{1.6}{\sqrt{250}}}=1.976    

Decision

Since is a two tailed test the p value would be:  

p_v =2*P(z>1.976)=0.0482  

Since the p value is lower than the significance level wedon't have enough evidence to conclude that the true mean is significantly different from 52.6 MPG.

3 0
2 years ago
The width of a rectangle measures (3c-9d)(3c−9d) centimeters, and its length measures (8c-2d)(8c−2d) centimeters. Which expressi
Vsevolod [243]

The expression for the perimeter of the rectangle is 2(11c - 11d)

Perimeter of a rectangle = 2(length + width)

Length = 3c - 9d

Length = 3c - 9d Width = 8c - 2d

The expression for the perimeter can be expressed thus :

2(3c - 9d + 8c - 2d)

Collect like terms :

2(3c + 8c - 9d - 2d)

2(11c - 11d)

Hence, the expression for the perimeter of the rectangle is 2(11c - 11d)

Learn more : brainly.com/question/2142493?referrer=searchResults

3 0
2 years ago
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I need to know what is in the process box, it goes with the formula y=mx+b
sweet [91]

Answer:

y= 8.5x - 10

Step-by-step explanation:

I think it is substracting because it's how much remains, if its wrong it could either be 10x - 8.5 or 8.5x + 10

4 0
2 years ago
Given the expression below, what will the sign of the product be? Justify your answer.
cestrela7 [59]
The answer is A I’m sure of it
5 0
3 years ago
1 mile equals how many inches? 1 mile equals how many inches? Follow 28 answers 28 Report Abuse Are you sure you want to delete
Flura [38]
Hello there.

<span>1 mile equals how many inches? 

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