The answer will be 3 or it will be 3/1
G(f(12))
f(12) = 9 - 12 = -3
g(-3) = (-3)^2 + 4 = 9 + 4 = 13
Answer:
k = 4
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
. So
P(X < k) = 0.6625
k only assumes discrete values, so
We have to find the cummulative distribution until we hit 0.6625. So
So k = 4
None of the statements are true,
Proof:
Solve for x over the real numbers:
2 x^2 + 12 x = 32
Subtract 32 from both sides:
2 x^2 + 12 x - 32 = 0
2 x^2 + 12 x - 32 = 2 (x^2 + 6 x - 16):
2 (x^2 + 6 x - 16) = 0
Divide both sides by 2:
x^2 + 6 x - 16 = 0
x = (-6 ± sqrt(6^2 - 4 (-16)))/2 = (-6 ± sqrt(36 + 64))/2 = (-6 ± sqrt(100))/2:
x = (-6 + sqrt(100))/2 or x = (-6 - sqrt(100))/2
sqrt(100) = sqrt(4×25) = sqrt(2^2×5^2) = 2×5 = 10:
x = (-6 + 10)/2 or x = (-6 - 10)/2
(-6 + 10)/2 = 4/2 = 2:
x = 2 or x = (-6 - 10)/2
(-6 - 10)/2 = -16/2 = -8:
Answer: x = 2 or x = -8
Answer:
Step-by-step explanation:
Given:
We need to completely isolate to solve.
Finally, multiply both sides by -2 to completely isolate .