Answer: the slope of this line is 2/3
Step-by-step explanation:
If you use rise/run, you will find that rise=2 and run=3, so the slope 2/3.
80 + 70 + x + 2x = 360
150 + 3x = 360
3x = 210
x = 70
Angle Q = 70
2(70)
Angle R = 140
Set Events:
T=tests positive~T=tests negativeP=subject is pregnant~P=subject is not pregnant
We are givenP(T n ~P)=0.02P(~T n P)=0.03P(P)=0.7
recall by definition of conditional probabilityP(A|B)=P(A n B)/P(B)
Need to find P(P|~T)
First step: make a contingency diagram of probabilities (intersection, n)
P ~P sum
T 0.67 0.02 0.69=P(T)
~T 0.03 0.28 0.31=P(~T)
sum 0.70 0.30 1.00
=P(P) =P(~P)
therefore
P(P|~T)=P(P n ~T)/P(~T)=0.03/0.31 [ both read off the contingency table ]
=0.0968
(x-3)^2=5
take the square root of both sides
x-3=√5
add3 to both sides
x=3+√5
