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:
![A_t = \frac{0.5x*0.5x}{2}=\frac{x^2}{8}](https://tex.z-dn.net/?f=A_t%20%3D%20%5Cfrac%7B0.5x%2A0.5x%7D%7B2%7D%3D%5Cfrac%7Bx%5E2%7D%7B8%7D)
The area of the square ABCD is:
![A_s =x*x =x^2](https://tex.z-dn.net/?f=A_s%20%3Dx%2Ax%20%3Dx%5E2)
Thus, the probability that a random point lies in the triangle MCN is:
![P=\frac{A_t}{A_s}=\frac{\frac{x^2}{8}}{x^2}=\frac{1}{8}=0.125](https://tex.z-dn.net/?f=P%3D%5Cfrac%7BA_t%7D%7BA_s%7D%3D%5Cfrac%7B%5Cfrac%7Bx%5E2%7D%7B8%7D%7D%7Bx%5E2%7D%3D%5Cfrac%7B1%7D%7B8%7D%3D0.125)
The probability that the point will lie in the triangle MCN is 1/8 or 0.125.
Answer:
No.
Step-by-step explanation:
No, y=x²-6 is not a linear function.
This is because all linear functions have the highest exponent of 1. Anything equation that has a variable raised to a power other than 1 is not linear.
The equation provided as the highest exponent of 2. Thus, it's not linear.
From the provided graph, we can also see that this is quadratic instead of linear. The graph is a parabola instead of a line.
Hello!
If Bruce observes that the number of pitches a batter hits varies and is given by the function f(x)=x-11, and the batters get {4, 12, 14, 27, 42}, then Bruce threw {15, 23, 25, 38, 53} pitches. We get this solution set by adding 11 to each element in the set {4, 12, 14, 27, 42}.
Have a nice day
<span>f(x)=-6x-1
</span><span> X Y
0 -1
-1 5
6 -37
5 -31</span>
Answer:
(-3)^10
Step-by-step explanation: