Answer:
1) √10 units
A=(-1, 0) let us assume (x1, y1)
B=(2, 1) let us assume (x2,y2)
distance= √(x2-x1)^2 + (y2-y1)^2
=√(2+1)^2 + ( 1-0)^2
=√3^2 + 1^2
= √10 units
Answer: 50.24 cm²
Step-by-step explanation:
<u>ASSUMING THE RADIUS OF THE CIRCLE IS THE 4 CM</u>
<u></u>
The formula for the area of a circle is pi(3.14) * r(4)^2
Hope it helps <3 :D
Answer:
The correct option is;
A) Components: [0.30, 0.70], magnitude: 0.76
Step-by-step explanation:
The given parameters are;
The path of the of the airplane at 5 a.m. given by The National Weather Service = [3, 7]
The location of the hurricane at 6 a.m. = 1/10 of the total distance between the point where it was detected to the point where it is predicted to make land fall
Therefore;
The components of the vector at 6.00 a.m. = 1/10 × [3, 7] = [0.3, 0.7]
The magnitude of the vector at 6.00 a. m. = √(0.3² + 0.7²) ≈ 0.76.
Since there are two events happening simultaneously (windy and no sun), we can apply the concept of conditional probability here.
P(A|B) = P(A∩B)/P(B)
where it means that given B is happening, the probability that A is happening as well is the ratio of the chance for A and B to happen simultaneously over the chance of B to happen.
For our case, this can be interpreted as
P(A|B): it is the probability that it is windy (A) GIVEN that there is no sun (B)
P(A∩B) : chance of wind and no sun
P(B) : chance that there is no sun tomorrow
The chance of P(A∩B) is already given as 20% or 0.20. Since there is 10% or 0.10 chance of sun, then chances of having no sun tomorrow is (1-0.10) = 0.90.
Thus, we have P(A|B) = 0.2/0.9 ≈ 0.22 or 22%.
So, answer is B: 22%<span>.</span>
