Answer:
P(A) = 0.49
Step-by-step explanation:
Given:
A and B are mutually exclusive events.
P(B) = 0.03
P(A or B) = 0.52
If two events A and B are mutually exclusive events, then there are no elements common in both the events. So, the probability of their intersection is 0.
Now, as per probability addition theorem:
P(A or B) = P(A) + P(B) + P(A and B)
For mutually exclusive events, P(A and B) = 0. So,
P(A or B) = P(A) + P(B) + 0
P(A or B) = P(A) + P(B)
Plug in the given values and solve for P(A). This gives,
0.52 = P(A) + 0.03
P(A) = 0.52 - 0.03
P(A) = 0.49
Therefore, the probability of occurrence of event A is P(A) = 0.49.
Answer:
It means that the lowest the temperature will get that day is -3 degrees
Step-by-step explanation:
Step-by-step explanation:



#5. looks fine.
The roots are { +√(6) , -√(6) , -2, 2 }
#6. 12x³ + 26x² - 10x
factor out 2x
2x(6x² + 13x - 5) = 0
one root is zero
factor for other two roots, only 5×1 = 5
(3x-1)(2x+5)
3x - 1 = 0
3x = 1
x = 1/3
2x + 5 = 0
2x = -5
x = -5/2
roots are { 0, 1/3, -5/2 }
EDIT** forgot #7
#7. 125x³ + 8 = 0
125x³ = -8
x³ = -8/125
x = ∛(-8/125)
root of a fraction is the root of the numerator and denominator, negative can be on either numerator or denominator. overall fraction should be negative to subtract from the 8 to give zero.
∛(-8) = +/- 2
∛(125) = 5
root { -2/5 }
Answer:

Step-by-step explanation:
we have

step 1
Solve the numerator of the quotient

step 2
substitute in the original expression


step 3
simplify
