Answer:
$30
Step-by-step explanation:
Total amount paid by the hire purchase scheme:
$60 + 6 * $45 = $60 + $270 = $330
Total amount paid in just the cash price:
$300
Difference:
$330 - $300 = $30
Answer:

Step-by-step explanation:



plug the value of y

Add the numbers: 12 and 7

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Answer:
a
The point estimate of the population mean is 
b
The 80% confidence level is 
c
There is 80% confidence that the true population mean lies within the confidence interval.
Step-by-step explanation:
From the question we are told that
The sample size is n = 18
The standard deviation is 
The sample mean is 
Generally the point estimate of the population mean is equivalent to the sample mean whose value is 
Given that the confidence interval is 80% then the level of significance is mathematically represented as



Next we obtain the critical value of
from the normal distribution table
The value is 
Generally the margin of error is mathematically evaluated as

=> 
=> 
Generally the 80% confidence interval is mathematically represented as

=> 
=> 
The interpretation is that there is 80% confidence that the true population mean lies within the limit
Answer:
37.59 nautical miles
Explanation:
Distance = Speed x Time
The speed of the first ship = 12 knots
Thus, the distance covered after 1.5 hours

The speed of the second ship = 22 knots
Thus, the distance covered after 1.5 hours

The diagram representing the ship's path is drawn and attached below:
The angle at port = 90 degrees.
The triangle is a right triangle.
Using Pythagorean Theorem:
![\begin{gathered} c^2=a^2+b^2 \\ c^2=18^2+33^2 \\ c^2=324+1089 \\ c^2=1413 \\ c=\sqrt[]{1413} \\ c=37.59\text{ miles} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20c%5E2%3Da%5E2%2Bb%5E2%20%5C%5C%20c%5E2%3D18%5E2%2B33%5E2%20%5C%5C%20c%5E2%3D324%2B1089%20%5C%5C%20c%5E2%3D1413%20%5C%5C%20c%3D%5Csqrt%5B%5D%7B1413%7D%20%5C%5C%20c%3D37.59%5Ctext%7B%20miles%7D%20%5Cend%7Bgathered%7D)
The two ships are 37.59 nautical miles apart after 1.5 hours.