The probability that the selected manager has no college background and only have a fair look is 0.05625
Table is missing. Attached below.
Given,
We have to find the probability that the selected manager has no college background and only have a fair look;
From the table;
The total number of managers surveyed = 160
Number of managers surveyed are fair = 9
Probability;-
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
Here,
The probability = Number of managers surveyed are fair / The total number of managers surveyed
The probability = 9/160 = 0.05625
That is,
The probability that the selected manager has no college background and only have a fair look is 0.05625
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Answer:
2/3
Step-by-step explanation:
The slope of a line can be computed as:

where
is the increment along the y-direction
is the increment along the x-direction
We can choose the following two points to calculate the slope of the line shown:
(0,1) and (3,3)
Therefore, the slope of the line is

Two lines are said to be parallel if they have same slope: therefore, a line parallel to the one shown should also have slope of 2/3.
Answer:

Step-by-step explanation:
Given
The cross-section

Required
Calculate the length
We start by calculating the area of the trapezium cross-section.




The length is then calculated from volume as:

Substitute values for Volume and Area

Make Length the subject


Answer: translated according to the rule <span>(x, y) →(x + 8, y + 2) and reflected across the x-axis
Reasoning:
</span>1) The translation options are x + 8 or x + 2 and y + 2 or y + 8.
That means that the points are translated to the right and upward.
2) Then, you need to rotate the figure over the x-axis to translate it to the fourth quadrant.
To find the answer you can choose just one point to verify the rule.
3) Using the point D (-2,2) which is translated to D' (6, - 4) and knowing that the rotation over the x-axis keeps the x-coordinate unchanged while the y-coordinate is transformed into its negative, you can conclude that
3a) first the point was translated 8 units to the right and two units upward this is to a poin with x-coordinate -2 + 8 = 6 and y-coordinate 2 + 2 = 4
3b) second the point was reflected over the x -axis keeping the same x-coordinate x = 6 and transforming the y-coordinate into y = - 4.
So, the rule has been discovered: (x, y) →(x + 8, y + 2) and reflected across the x-axis