Answer:
The probability of not rain during the entire festival is 0.19
Step-by-step explanation:
The Complement Rule states that the sum of the probabilities of an event and its complement must equal 1.
In this case we have the probability of raining of each day, we need the probability of NOT raining.
First day= 45% chance of rain, the complement is 55%
Second day 55% chance of rain, the complement is 45%
Third day a 10% chance of rain, the complement is 90%
Fourth day a 10% chance of rain, the complement is 90%
Fifth day 5% chance of rain, the complement is 95%
To get the probability of NOT raining in the entire festival is the multiplication of all the complements.
P(not raining) = 0.55 x 0.45 x 0.90 x 0.90 x 0.95= 0.19
Answer:
Present Value = $1666666.67
Step-by-step explanation:
Present Value of a Growing Perpuity is calculated using the following formula
PV =D/(r - g)
Where D = Dividend
r = Discount Rate
g = Growth rate
D = $50,000
r = 7%
r = 7/100
r = 0.07
g = 4%
g = 4/100
g = 0.04
PV = D/(r-g)
Becomes
PV = $50,000/(0.07-0.04)
PV = $50,000/0.03
PV = $1,666,666.67
So the Present Value of the perpuity is $1,666,666.67
Answer:
6(4x-1) is equivalent to 24x-6 and (2*12x)-(2*3)
24x+6 is equivalent to 6(4x+1) and (6*4x)+(6*1)
(4*6x)+(4*2) is equivalent to 24x+8 and 4(6x+2)
Step-by-step explanation:
An equivalent expression is an expression which either simplified or factored is equal to it.
6(4x-1) is equivalent to 24x-6 and (2*12x)-(2*3)
24x+6 is equivalent to 6(4x+1) and (6*4x)+(6*1)
(4*6x)+(4*2) is equivalent to 24x+8 and 4(6x+2)
Answer:
A. 
Step-by-step explanation:
We are told that circle O is circumscribed about quadrilateral DEFG.
Since we know that the opposite angles of quadrilateral inscribed inside a circle are supplementary.
Let us find value of x by equating the measure of x and its opposite angle with 180.
Therefore, the value of x is 61 degrees and option A is the correct choice.
