To estimate this question, you can round the numbers to be compatible, to make it easier for yourself. The numbers should be able to be divided cleanly, as this is an estimate, not the actual problem solving. You could, for example, round 341 to 300, and 28 to 30, and divide them to get 10.
Hope that helped.
Step-by-step explanation: Since we have given, P(A) = 0.75 and P(A|B) =0.8 .
So, P(A∩B) = P(B|A)× P(A) = 0.8×0.75 =0.6 .
We have given P(B|A') = 0.6
P(A’∩B) = P(B|A')×P(A') = 0.6 × 0.25 = 0.15.
P(B) = P(A∩B) + P(A'∩B) = 0.6 + 0.15 = 0.75.
=> P(A|B) = (∩)()=0.60.75
P
(
A
∩
B
)
P
(
B
)
=
0.6
0.75
= 0.8 .
Answer:
1. Im gonna say D. 126
2. 1/2 (can't see the answer choices clearly)
3. 60º
4. 9
5. D
Step-by-step explanation:
Note that the 2nd equation can be re-written as y=8x-10.
According to the second equation, y=x^2+12x+30.
Equate these two equations to eliminate y:
8x-10 = x^2+12x+30
Group all terms together on the right side. To do this, add -8x+10 to both sides. Then 0 = x^2 +4x +40. You must now solve this quadratic equation for x, if possible. I found that this equation has NO REAL SOLUTIONS, so we must conclude that the given system of equations has NO REAL SOLUTIONS.
If you have a graphing calculator, please graph 8x-10 and x^2+12x+30 on the same screen. You will see two separate graphs that do NOT intersect. This is another way in which to see / conclude that there is NO REAL SOLUTION to this system of equations.
It would be the square root of 3
