Answer:
(1) a. 0.0009
(2) d. 0.640
(3)
- a. P(A and B) = 0.06.
- b. P(A or B) = 0.70.
(4)Not disjoint
(5) a. nearly 0.
(6)b. 0.919
Step-by-Step Explanation:
(1)Probability of a baby being born with a birth defect =3%=0.03
The probability that both babies have birth defects=0.03 X 0.03= 0.0009.
(2)The probability of contracting the influenza virus each year = 20%=0.2
Therefore, the probability of not contracting the influenza virus =1-0.2=0.8
The probability that neither baby catches the flu in a given year:
=0.8 X 0.8
=0.64
(3)
P(A)=0.1
P(B)=0.6
P(A or B)=P(A)+P(B)=0.1 + 0.6 =0.7
P(A and B)=P(A)XP(B)=0.1 X 0.6 =0.06
(4)
P(A)=0.2
P(B)=0.9
Event A and B cannot be disjoint.
(5)
The probability of an American woman aged 20 to 24 having Chlamydia infection 
The probability that three randomly selected women in this age group have the infection

(6)The probability of an American woman aged 20 to 24 not having Chlamydia infection 
The probability that three randomly selected women in this age group do not have the infection

Answer:
m∠B = 43°
b = 26.1
c = 38.3
Step-by-step explanation:
By applying triangle sum in the given triangle,
47° + 90° + m∠B = 180°
137° + m∠B = 180°
m∠B = 43°
By applying sine ratio to the angle measuring 47°.
sin(47°) = 
= 
c = 
c = 38.28
c ≈ 38.3
By applying cosine rule,
cos(47°) = 
= 
= 
b = 38.3[cos(47°)]
b = 26.1
D is equivalent negative times negative is positive and it is just double
The segment inside the large triangle is B: Altitude.