Answer:
x = -2+√3i and -2-√3i
Step-by-step explanation:
The formula for the general formula is expressed as;
x = -b±√b²-4ac/2a
Given the expression
x²+4x+7 = 0
a = 1, b = 4 and c = 7
Substitute
x = -4±√4²-4(1)(7)/2(1)
x = -4±√16-28/2
x = -4±√-12/2
x = -4±√4*-3/2
x = -4±2√-3/2
x = -4±2√3i/2
x = -4+2√3i/2 and -4-2√3/2
x = -2+√3i and -2-√3i
Answer:
P(A|B) = 0.30
Step-by-step explanation:
P(A) = 0.30
P(B) = 0.60
To Find:
P(A|B) = ?
P(A|B) means probability of occurring of event A when event B has occurred.
P(A|B) = P(A∩B)/P(B)
We know that for independent events;
P(A∩B) = P(A).P(B)
So, we have:
P(A|B) = P(A).P(B)/P(B)
P(A|B) = P(A)
So, probability of occurrence of an independent event does not depend on the probability of a different event.
Answer: 26 years.
Step-by-step explanation:
Let x = current age of Louise (in years).
Then current age of James = x+6
Eight years from now, James's age = x+6+8= x+14
4 years ago, Louise's age = x-4
According to the question
x+14 = 4(x-4)
⇒ x+14 = 4x-16
⇒ 4x-x = 16+14
⇒ 3x = 30
⇒ x= 10 = current age of Louise (in years).
current age of James = 10+6 = 16 years
Sum of current ages = 16+10=26 years.
hence, the sum of the current ages is 26 years.
480 - 144 = 336
336 divided by 12 = 28
ANSWER: 28 Hours
