Answer:
1/72
Step by step:
The probability of rolling a seven is 1/6 as there are 36 combinations you can roll on two dice, and six of them add up to 7. The probability of rolling a 4 is 1/12 as there are 3 ways to roll a 4. Multiplying these together you get 1/72.
Answer:
2x-3
Step-by-step explanation:
It’s A and B and then D and F
Answer:
L = 10 in
W = 2.5 in
Step-by-step explanation:
Let length be L and width be W
Perimeter = L + L + W + W
Perimeter =2L + 2W
given than length is 4 times the width, or
L = 4W (substitute this back into the perimeter equation above)
Perimeter =2L + 2W
Perimeter =2(4W) + 2W
Perimeter =8W + 2W
Perimeter = 10W
given that the perimeter is 25in
25 = 10W
W = 25 / 10 = 2.5 in (answer for width)
L = 4W = 4(2.5) = 10 in (answer for length)
Regarding the points on the given line, it is found that:
a) The midpoint is: (3,4.5).
b) The coordinates of C are: C(4,5).
c) The coordinates of the other end of the line are: (4,3).
<h3>Midpoint</h3>
The midpoint between two points is given by the mean of the coordinates of these points.
In this problem, the coordinates of points A and B are given as follows:
A(0,3) and B(6,6).
Hence the coordinates of the midpoint are given as follows:
- x-coordinate: (0 + 6)/2 = 3.
- y-coordinate: (3 + 6)/2 = 4.5.
As for point C, we have that C is closer to B then A, hence:
- The x-coordinate is greater than 3.
- The y-coordinate is greater than 4.5.
The coordinates are integers, hence it is given as follows:
C(4,5).
As for line AB, it is found that:
- The other line is parallel, hence the slope is also of 0.5. (change in y divided by change in x is of 0.5).
- For the x-coordinate, on line AB, they change by 6, hence in the new line they increase by 2/3 x 6 = 4.
- For the y-coordinate, on line AB, they change by 3, hence in the new line they increase by 2/3 x 3 = 3.
Thus the other endpoint is:
(4,3).
More can be learned about the mid-point of a line at brainly.com/question/18315903
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