Answer:

we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613
Step-by-step explanation:
The estimated proportion of interest is 
We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by
and
.
And the critical value is:
The confidence interval for the true population proportion is interest is given by this formula:

Replacing the values provided we got:

And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613
The sentence says the speed can be maintained for no more than 1640 feet.
The "no more" means 1640 feet or less ,so the equation would be d is less than or equal to 1640.
The correct equation is A.
Answer:
E. 0.759
Step-by-step explanation:
You can take this right triangle to have a base length side LM , height of LN and a hypotenuse of MN
The sine of angle ∠LMN is 0.759, find the value of ∠LMN

∠LMN=49.38°
Find angle ∠LNM
You know sum of angles in a triangle add up to 180°, given that this is a right-triangle, the base angle is 90° hence
∠LNM=180°-(90°+49.38°)
∠LNM= 180°-139.38°=40.62°
Find cos 40.62°
Cos 40.62°=0.7590
The answer to this question is 98000