X = 97
Working on other question.
40min is 1/3
implies 20min is 1/6
60min is 1/3+1/6=3/6=1/2
Answer:
Progression: 11, 18, 25
Rule: Add 7
Step-by-step explanation:
Given
List of numbers: 8, 11, 13, 18, 25, 37
Sample Progression: 8, 13, 18; with common difference of 5
Required
Form a different progression using any three listed numbers
To solve this; we'll make use of trial and error methods;
<em>NB: I've tried several numbers; So, I'll just stick to the one that works</em>
To start with;
Select ->11
Add 7 to 11: 11 + 7 - > 18
Add 7 to 18: 18 + 7 -> 25
With the above illustration, we've successfully used three numbers (11, 18 and 25) to form a new progression and the rule is to add 7
Answer:
(2,-5) and (2,1).
Step-by-step explanation:
We need to find the find all the points having an x coordinate of 2 whose distance from the point (-2,-4) is 5.
A circle with center (-2,-4) and radius 5 represents all the points whose distance from the point (-2,-4) is 5.
Standard form of a circle is

where, (h,k) is center and r is the radius.


Now, put x=2.




Taking square root on both sides.




So, the y-coordinates of the points are -5 and 1.
Therefore, the required points are (2,-5) and (2,1).
Number of returns = 47
Number of returns that contain errors = 5
Number of returns that does not contain error = 47 - 5 = 42
P(selecting none that contains error in the unreplaced selection) = 42/47 x 41/46 x 40/45 = 68880 / 97290 = 0.708
option C is the correct answer.