13)
let assume # denotes angle signs
now
as sum of 3 angels in triangle is 180
#2 +#3 +#4 = 180
also
#1 + #4 = 180
so equating both equation
#2 +#3 + #4 = #1 + #4
#4 will be cancelled from both side then
#2 + #3 = #1
proved
14)
ratio is 1:3:5
so Alma adsed it wrong. it should be 9x in 2nd line.
correction
x + 3x + 5x = 180
9x = 180
x = 180/9 = 20
so 1st angle = x = 20
2nd angle = 3x = 3×20=60
3rd angel = 5x = 5×20 = 100
8x^3 + 1 = 0
8x^3 = -1 <----------- Step 1: Subtract 1 from both sides.
x^3 = -1/8 <----------- Step 2: Divide both sides by 8.
x = ∛(-1/8) <----------- Step 3: Cube root both sides
x = -0.5 <----------- This is the final answer when you plug the last step into the calculator
The answer is a and b hope I help
Answer:
B
Step-by-step explanation:
Answer:
P (A ║ B) = 1.98 %
Step-by-step explanation:
Bayes´ Theorem express
P (A ║ B) = P(A) * P( B ║ A) / P(B)
Now we identify
Event A person infected with a virus. Probability of being infected by a virus is P/A) 0.001
Event B the test was positive. Probability of test positive P(B) = 0,05
Probability of P ( B║ A) is the porbability of test positive given that is infected = 0.99
Then by subtitution in a general equation of the theorem we have
P (A ║ B) = 0.001*0.99/ 0.05
P (A ║ B) = 0.0198 P (A ║ B) = 1.98 %
