There are a total of 30 integers and 10 of these are divisible by 3 (3, 6, 9, 12, 15, 18, 21, 24, 27, and 30). So the probability of getting an integer divisible by 3 is 
= 1/3. The answer is letter C.
Quadrilateral TRAM is rotated -90 degrees about the origin. Draw the image of this rotation.
1 answer:
Answer:
Please find attached the image of the quadrilateral TRAM after a rotation of -90 degrees, created with MS Excel
Step-by-step explanation:
The given coordinates of the vertices of the quadrilateral TRAM are;
T(-5, 1), R(-7, 7), A(-1, 7), M(-5, 4)
By a rotation of -90 degrees = Rotation of 90 degrees clockwise, we get;
The coordinates of the preimage before rotation = (x, y)
The coordinates of the image after rotation = (y, -x)
Therefore, we get for the the quadrilateral T'R'A'M', by rotating TRAM -90 degrees as follows;
T(-5, 1) → T'(1, 5)
R(-7, 7) → R'(7, 7)
A(-1, 7) → A'(7, 1)
M(-5, 4) → M'(4, 5)
The image of TRAM after -90 degrees rotation is created by plotting the derived points of the quadrilateral T'R'A'M' on MS Excel and joining the corresponding points as presented in the attached diagram.
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Answer:
2x– 3y = –18
3x + y = -5
Converting the equation in slope-intercept form
2x-3y= -18
-3y= -2x-18
-3y= -(2x+18)
3y=2x+18
y=(2x+18)/3
And for equation 2
y= -5-3x
For plotting the graph, the online graphing calculator desmos.com can be used.
The points can be calculated by putting negative and positive values of x in both equations.
The graph is attached as a picture.
As we can see from the graph that two lines intersect at (-3,4) so it is the solution of the given system of linear equations.
Answer:
Step-by-step explanation:
We have these following probabilities:
40% probability that the first file is corrupted. So 60% probability that the first file is not corrupted.
30% probability that the second file is corrupted. So 70% probability that the second file is not corrupted.
Probability mass function
Probability of each outcome(0, 1 and 2 files corrupted).
No files corrupted:
60% probability that the first file is not corrupted.
70% probability that the second file is not corrupted.
So
One file corrupted:
First one corrupted, second no.
40% probability that the first file is corrupted.
70% probability that the second file is not corrupted.
First one ok, second one corrupted.
60% probability that the first file is not corrupted.
30% probability that the second file is corrupted.
Two files corrupted:
40% probability that the first file is corrupted.
30% probability that the second file is corrupted.