Answer:
An eight-digit grid coordinate allows for precision within 10 meters.
Step-by-step explanation:
Grid coordinates are designed to direct accurately to a specific location by using a map that includes equally spaced vertical and horizontal lines, each assigned numbers to outline a place. The intersection of these vertical and horizontal lines has unique identifiers and creates small sections called grid squares.
The precision increases with the number of digits in the coordinate; an eight-digit designation gives accuracy to the nearest 10 meters.
Answer:
The anticipated number of tests required to identify 680 acceptable circuits is 907.
Step-by-step explanation:
For any circuit, there are two potential results: it either passes the test or it fails. The likelihood of passing is independent between circuits. Therefore, we apply the binomial probability distribution to address this scenario.
Binomial probability distribution
This distribution calculates the chance of obtaining exactly x successes across n trials, where x has only two possible outcomes.
To find the expected number of trials to achieve r successes with a probability p, the formula is given by:
Circuits from a specific factory pass a certain quality evaluation with a probability of 0.75.
Thus, to determine the expected number of tests needed for 680 acceptable circuits, let’s denote this as E where r = 680.
The expected number of tests necessary to find 680 acceptable circuits is 907.
Answer:
13%
Detailed breakdown:
Information provided:
- MP = 2080
- Discount = d%
- VAT = (d-2)%
- Cost = 1997.84
Applying the discount:
- 2080 - d% = 2080*(1 - 0.01d)
Including VAT:
- 2080*(1 - 0.01d) + (d - 2)%
- 2080*(1 - 0.01d) * (1 + (d -2)/100)
- 2080*(1 - 0.01d) * (0.98 + 0.01d) = 1997.84
- (1 - 0.01d)(0.98 + 0.01d) = 1997.84/2080
- 0.98 + 0.01d - 0.0098d - 0.0001d² = 0.9605
- - 0.0001d² + 0.0002d + 0.98- 0.9605 = 0
- 0.0001d²- 0.0002d - 0.0195 = 0
- d² - 2d + 195 = 0
Solving this quadratic equation yields:
Therefore
<span>cy + 3 = 6d - 2y
cy + 2y = 6d - 3
(c + 2)y = 6d - 3
y = (6d - 3)/(c + 2)</span>
Response: The accurate statements include:-
There are nearly equal quantities of points located above and below the x-axis.
The points are distributed haphazardly without a distinct pattern.
The total number of points matches that of the scatter plot.
Explanation:
- A residual plot illustrates residuals on the vertical axis against the independent variable on the horizontal axis.
Consequently, the count of points is on par with the scatter plot, and roughly the same amount of points exist above and below the x-axis.
Given the random distribution of the points throughout the plot, it signifies there is no correlation, therefore, the points are scattered randomly without a clear arrangement.
