1.4n + 2 = 2n + 3.2
1.4(-2) + 2 = 2(-2) + 3.2
-2.8 + 2 = -4 + 3.2
- 0.8 = - 0.8
Answer:
a. 0.55
b. 0.68
c. 0.18
Step-by-step explanation:
a. The probability that E2 does not occur is one minus the probability that E2 occurs:
![1-P(E2)= 1- 0.45\\1-P(E2) = 0.55](https://tex.z-dn.net/?f=1-P%28E2%29%3D%201-%200.45%5C%5C1-P%28E2%29%20%3D%200.55)
b. The probability that either E1 or E2 occurs is given by the sum of their individual probabilities minus their joint probability:
![P(E1\ or\ E2) = P(E1)+P(E2)-P(E1, E2)\\P(E1\ or\ E2)=0.37+0.45-0.14\\P(E1\ or\ E2)=0.68](https://tex.z-dn.net/?f=P%28E1%5C%20or%5C%20E2%29%20%3D%20P%28E1%29%2BP%28E2%29-P%28E1%2C%20E2%29%5C%5CP%28E1%5C%20or%5C%20E2%29%3D0.37%2B0.45-0.14%5C%5CP%28E1%5C%20or%5C%20E2%29%3D0.68)
c. The probability that neither E1 nor E2 occurs is one minus the probability of E1 occurring minus the probability of E2 occurring:
![1-P(E1)-P(E2)= 1- 0.37 -0.45\\1-P(E1)-P(E2) = 0.18](https://tex.z-dn.net/?f=1-P%28E1%29-P%28E2%29%3D%201-%200.37%20-0.45%5C%5C1-P%28E1%29-P%28E2%29%20%3D%200.18)
Answer:
cosA = ![\frac{3}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D)
Step-by-step explanation:
cosA =
=
=
= ![\frac{3}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D)
Answer:
x=1
Step-by-step explanation:
3(x+2)-10=4x-6+x
3x+6-10=5x-6
3x-5x-4=-6
-2x-4=-6
-2x=-6+4
-2x=-2
2x=2
x=2/2
x=1