Answer:
RS ≈ 5.83 units
Step-by-step explanation:
Calculate RS using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = R(- 3, 1) and (x₂, y₂ ) = S(2, 4)
RS = 
= 
= 
=
≈ 5.83 ( to 3 significant figures )
The range would be [-4, infinity) because range is the y-value. The lowest y-value is -4. The greatest y-value goes up to infinity.
Answer:
15.85%
Step-by-step explanation:
Given:
Acres damaged (burned) = 6,500 acres
Acres in total forest = 41,000 acres
Hence the amount of damaged forest as a fraction of the total forest,
=
= 
expressed as percentage =
x 100% = 15.85%
The jar has 6+5=11 marbles.
We have to find the probability of the following event:
1.We pick a marble from a jar that has 11 marbles in total, 5 of them are red
2.We pick a marble from a jar that has now 10 marbles in total, 4 of them are red (because in the previous step we picked a red marble and did not put it back in the jar)
The probability of the first event is:

The probability of the second event is:

The probability of the both events to happen is:

Answer: b
Step-by-step explanation: