Answer:
See explanation
Step-by-step explanation:
A. P(top)=top outcomes/all kinds of outcomes=4/30=2/15=13.33333333333...%
P(bottom)=bottom outcomes/ all kinds of outcomes=1/30=3.33333333....%
P(side)=25/30=5/6=83.33333333333...%
B. No. If were equally likely, the probabilities for A would have been roughly the same. It seems like the side event is more probable.
Answer:
(B)![4\sqrt{37}](https://tex.z-dn.net/?f=4%5Csqrt%7B37%7D)
Step-by-step explanation:
First, we determine the height of the triangle which we label as y.
Using Pythagoras Theorem.
![25^2=7^2+y^2\\y^2=25^2-7^2\\y^2=576\\y=\sqrt{576}\\y=24](https://tex.z-dn.net/?f=25%5E2%3D7%5E2%2By%5E2%5C%5Cy%5E2%3D25%5E2-7%5E2%5C%5Cy%5E2%3D576%5C%5Cy%3D%5Csqrt%7B576%7D%5C%5Cy%3D24)
In the smaller right triangle with hypotenuse, x
Base = 7-3 =4 Units
Height, y= 24 Units
Therefore, applying Pythagoras Theorem.:
![x^2=24^2+4^2\\x^2=592\\x=\sqrt{592}\\ x=4\sqrt{37}](https://tex.z-dn.net/?f=x%5E2%3D24%5E2%2B4%5E2%5C%5Cx%5E2%3D592%5C%5Cx%3D%5Csqrt%7B592%7D%5C%5C%20x%3D4%5Csqrt%7B37%7D)
Answer:Yes, it is
Step-by-step explanation:
2^2+4(2)-12=0
4+8-12=0
12-12=0
0=0
Answer:
3
Step-by-step explanation:
3*5=15
Answer:
A. 7 1/6
Step-by-step explanation:
10 3/4 * 2/3=
43/4 * 2/3= 86/12
86/12 = 7 2/12 = 7 1/6