Answer:
1/8 or 0.125
Step-by-step explanation:
Let x be the length of the sides of the square ABCD.
Therefore, the length of CN and CM is x/2.
The area of the triangle MCN is:

The area of the square ABCD is:

Thus, the probability that a random point lies in the triangle MCN is:

The probability that the point will lie in the triangle MCN is 1/8 or 0.125.
Answer:
The correct answer option is 192
Step-by-step explanation:
We are given the results of a random survey about the preferred service for streaming movies.
We are to find the number of people we would expect to prefer Company B.
Number of people using service B = 32
Total number of people = 125
Number of people expected to prefer Company B =32/125 x 750 = 192
Answer:
16
Step-by-step explanation:
Multiplecation by the length width, and the height, then divide and its 16.
Given equations are;<span>
2a + 3b = -1 ..................equation 1
3a + 5b = -2 ....................equation 2</span>
Now multiply equation 1 with (-3)
The equation will be;
-6a -9b = 3 …………………..equation 3
Now multiply equation 2 with (2)
The equation will be;
6a + 10b = -4 ……………..equation 4
Now add equation 3 and equation 4
-6a – 9b = 3
<span>6a + 10b = -4</span>
<span>------------------------------</span>
0a + b = -1
b = -1
Now put the value of b in equation 1
2a + 3(-1) = -1
2a -3 = -1
2a = -1+3
2a = 2
a=1
Thus the solution is (a,b) = (1,-1)
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