Step-by-step explanation:
1.
2.
First equation: Your equation is given.
Second equation: Distribute by multiplying every number in the parentheses by the number outside it.
3rd equation: Combine like terms by adding 4x to both sides.
4th equation: Combine like terms by subtracting 14 from both sides.
5th equation: Divide both sides by -2, the coefficient of x.
Answer:
1: True, 2: False
Step-by-step explanation:
With the first one, probability by defintion is the odds of if an event will happen or not, so it is true.
With the second one, it is false as if something is for sure going to happen, it will have a 100% or "1" chance of occurring. If it has a 1% chance of occuring, it would be 0.01.
Answer:
x = -7
Step-by-step explanation:
So we are asked to find what x is equal to in the equation:
In other words, we are asked to solve for x.
Add 4 to both sides of the equation.
Multiply both sides by 7.
x = -7
So we have solve the equation for x and have found that x = -7.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:
f-¹(x) = 2x – 8
f-¹(4) = 2(4) – 8 —> f-¹(4)= 8 - 8 =0
Answer:
D) Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 5, r = 2, p = 1/6.
Step-by-step explanation:
The Number of boxes = 6
Box containing a prize = 1
Probability of success, p = box containing a price / number of boxes = 1 /6
Number of trials = 5
Probability of success on exactly 2 trials, r = 2
Hence,
P(r = 2) = nCr * p^r * (1-p)^(n-r)
n = 5 ; r = 2 ; p = 1/6
Using a binomial probability calculator :
P(r = 2) = 0.1608
