Can you use a calculator? If yes, then isolate 7) cot 8) tan 2 theta, etc. Then, input the inverse of that trig into the calculator.
Ex. #7 cot theta= -6/5
Then, input arccot (-6/5) (aka inverse cot (-6/5)) into your calculator.
Answer:
![E(x) = 99](https://tex.z-dn.net/?f=E%28x%29%20%3D%2099)
Step-by-step explanation:
Given
The attached table
Required
Number of times 3 or 4 will occur
First, we complete the table as follows:
![P(1) + P(2) +......+P(6) =1](https://tex.z-dn.net/?f=P%281%29%20%2B%20P%282%29%20%2B......%2BP%286%29%20%3D1)
![0.13 + 0.05 + P(3) + 0.21 + 0.19 + 0.3 = 1](https://tex.z-dn.net/?f=0.13%20%2B%200.05%20%2B%20P%283%29%20%2B%200.21%20%2B%200.19%20%2B%200.3%20%3D%201)
Collect Like Terms
![P(3)= 1 -(0.13 + 0.05 + 0.21 + 0.19 + 0.3 )](https://tex.z-dn.net/?f=P%283%29%3D%201%20-%280.13%20%2B%200.05%20%20%2B%200.21%20%2B%200.19%20%2B%200.3%20%29)
![P(3)= 0.12](https://tex.z-dn.net/?f=P%283%29%3D%200.12)
The expected number of times is:
![E(x)= n * P(x)](https://tex.z-dn.net/?f=E%28x%29%3D%20n%20%2A%20P%28x%29)
So, we have:
![E(x) = 300 * (0.12 + 0.21)](https://tex.z-dn.net/?f=E%28x%29%20%3D%20300%20%2A%20%280.12%20%2B%200.21%29)
![E(x) = 300 * (0.33)](https://tex.z-dn.net/?f=E%28x%29%20%3D%20300%20%2A%20%280.33%29)
![E(x) = 99](https://tex.z-dn.net/?f=E%28x%29%20%3D%2099)
Answer:
X=-1
Step-by-step explanation:
3x-6=-9
3x=-9+6
3x=-3
x=-1
Answer————————-triangle 3
Hope this helps!!
Answer:
Answer should be x^9
Step-by-step explanation:
This equation looks really complicted, but it's actually much easier when you break it down! First, your going to multiply the fraction 3/2 by 6 - since one is a fraction, youre going to find the GCF, or Greatest Common Factor, and reduce it. The GCF in this equation is 2, so we eliminate the two from the fraction (making it just 3) and divide 6 by 2 (getting 3). Thus, we are left with (x^3)^3 -> 3 x 3 = 9. So we are left with x^9. I hope this helps!