<u>Answer:</u>
The correct answer option is P (S∩LC) = 0.16.
<u>Step-by-step explanation:</u>
It is known that the probability if someone is a smoker is P(S)=0.29 and the probability that someone has lung cancer, given that they are also smoker is P(LC|S)=0.552.
So using the above information, we are to find the probability hat a random person is a smoker and has lung cancer P(S∩LC).
P (LC|S) = P (S∩LC) / P (S)
Substituting the given values to get:
0.552 = P(S∩LC) / 0.29
P (S∩LC) = 0.552 × 0.29 = 0.16
Answer: 7a^2+2a+7
Step-by-step explanation:Distribute the Negative Sign:
=9a2+7a+8+−1(2a2+5a+1)
=9a2+7a+8+−1(2a2)+−1(5a)+(−1)(1)
=9a2+7a+8+−2a2+−5a+−1
Combine Like Terms:
=9a2+7a+8+−2a2+−5a+−1
=(9a2+−2a2)+(7a+−5a)+(8+−1)
=7a2+2a+7
I started by labeling the right angle (Angle C) 90º. Next, I wrote down everything in one equation.
2x + 90 + 3x - 20 = 180º (180 degrees in a triangle)
Next, I add 20 on both sides.
2x + 90 + 3x = 200º
I combine like terms (2x and 3x)
5x + 90 = 200º
I subtract 90 from both sides.
5x = 110º
Divide 110 by 5 to get x.
x = 22
======
For problem two, I label all the angles I know.
49º + 80º + r = 180º
I add 80 and 49.
129º + r = 180º
I subtract 180 and 129 and get 51º, which is your angle for R.
For angle X, you know that angle R plus angle X equals half of a circle, which is 180º
We know from before that 129º is 180º without R, so X is 129º
I hope this helps! Let me know if I'm wrong!
Answer:
first one is 0.02 the second is 8
Step-by-step explanation:
It would be 2u3+4u2-2u-4u2-8u+4= 2u3-10u+4
