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Natali5045456 [20]
4 years ago
6

the angle of depression from a plane to the airport is 34°. the pilot reports that the plane's altitude is 3200 feet . find the

horizontal distance between the plane and the airport to the nearest foot

Mathematics
1 answer:
Aleksandr-060686 [28]4 years ago
6 0
look\ at\ the\ picture\\\\cot34^o=\frac{x}{3200}\\\\cot34^o\approx1.4826\\\\\frac{x}{3200}=1.4826\ \ \ \ /\cdot3200\\\\x=4744.32\ (ft.)\approx4744\ (ft.)\leftarrow answer

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Answer:

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An automobile manufacturer has given its van a 31.3 miles/gallon (MPG) rating. An independent testing firm has been contracted t
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Answer:

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The p value for this case would be given by:

p_v =2*P(z  

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Step-by-step explanation:

Information given

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\sigma=1.3 represent the population standard deviation

n=140 sample size  

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\alpha=0.02 represent the significance level for the hypothesis test.  

z would represent the statistic

p_v represent the p value

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We want to test if the true mean is equal to 31.3 MPG, the system of hypothesis would be:  

Null hypothesis:\mu =31.3  

Alternative hypothesis:\mu \neq 31.3  

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

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

Replacing we got:

z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82  

The p value for this case would be given by:

p_v =2*P(z  

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

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Answer:

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