9514 1404 393
Answer:
   78.5 km
Step-by-step explanation:
Measured at the airport, the angle between the two planes is ...
   180° -60° -50° = 70°
The law of cosines tells us the distance between the planes is ...
   d = √(50² +80² -2·50·80·cos(70°)) ≈ √6163.84 ≈ 78.5 . . . km
The planes are about 78.5 km apart.
 
        
             
        
        
        
D, 8880 is divisible by both ten and 5.
        
             
        
        
        
Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
In a normal distribution with mean  and standard deviation
 and standard deviation  , the z-score of a measure X is given by:
, the z-score of a measure X is given by:
 
- It measures how many standard deviations the measure is from the mean.  
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean  and standard error and standard error 
In this problem:
- 1,190 adults were asked, hence  
- In fact 62% of all adults favor balancing the budget over cutting taxes, hence  . .
The mean and the standard error are given by:


The probability of a sample proportion of 0.59 or less is the <u>p-value of Z when X = 0.59</u>, hence:

By the Central Limit Theorem



 has a p-value of 0.0166.
 has a p-value of 0.0166.
0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213