1 because 1 times 1 times 1 equals 1
Answer:
![(-\infty,+\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%2B%5Cinfty%29)
Step-by-step explanation:
The given inequality is 3x-2>4 or ![5x-3\leq 7](https://tex.z-dn.net/?f=5x-3%5Cleq%207)
We group similar terms to obtain: 3x>4+2 or ![5x\le7+3](https://tex.z-dn.net/?f=5x%5Cle7%2B3)
Simplify to get:
3x>6 or ![5x\le10](https://tex.z-dn.net/?f=5x%5Cle10)
x>2 or ![x\le 2](https://tex.z-dn.net/?f=x%5Cle%202)
This implies that the solution set is all real numbers.
The solution in interval notation is ![(-\infty,+\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%2B%5Cinfty%29)
The area of the circle is 615.44 feet.
A=
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
r²
A=(3.14)14²
A=(3.14)196
A=615.44
Answer:
0.84 = 84% probability that the calculator has a good case and good batteries.
Step-by-step explanation:
We have these following percentages:
8% of a certain batch of calculators have a defective case.
11 % have defective batteries.
3% have both a defective case and defective batteries.
Using Venn Diagrams:
Event A: Defective Case
Event B: Defecitve Battery
So the probabilities are: ![P(A) = 0.08, P(B) = 0.11, P(A \cap B) = 0.03](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.08%2C%20P%28B%29%20%3D%200.11%2C%20P%28A%20%5Ccap%20B%29%20%3D%200.03)
Probability of at least one problem:
![P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.08 + 0.11 - 0.03 = 0.16](https://tex.z-dn.net/?f=P%28A%20%5Ccup%20B%29%20%3D%20P%28A%29%20%2B%20P%28B%29%20-%20P%28A%20%5Ccap%20B%29%20%3D%200.08%20%2B%200.11%20-%200.03%20%3D%200.16)
Find the probability that the calculator has a good case and good batteries.
No problems, so
![p = 1 - P(A \cup B) = 1 - 0.16 = 0.84](https://tex.z-dn.net/?f=p%20%3D%201%20-%20P%28A%20%5Ccup%20B%29%20%3D%201%20-%200.16%20%3D%200.84)
0.84 = 84% probability that the calculator has a good case and good batteries.