Answer:
P (X ≤ 4)
Step-by-step explanation:
The binomial probability formula can be used to find the probability of a binomial experiment for a specific number of successes. It <em>does not</em> find the probability for a <em>range</em> of successes, as in this case.
The <em>range</em> "x≤4" means x = 0 <em>or</em> x = 1 <em>or </em>x = 2 <em>or</em> x = 3 <em>or</em> x = 4, so there are five different probability calculations to do.
To to find the total probability, we use the addition rule that states that the probabilities of different events can be added to find the probability for the entire set of events only if the events are <em>Mutually Exclusive</em>. The outcomes of a binomial experiment are mutually exclusive for any value of x between zero and n, as long as n and p don't change, so we're allowed to add the five calculated probabilities together to find the total probability.
The probability that x ≤ 4 can be written as P (X ≤ 4) or as P (X = 0 or X = 1 or X = 2 or X = 3 or X = 4) which means (because of the addition rule) that P(x ≤ 4) = P(x = 0) + P(x = 1) + P (x = 2) + P (x = 3) + P (x = 4)
Therefore, the probability of x<4 successes is P (X ≤ 4)
Answer: I am pretty sure it is y=-1/4x-8. Hope this helps!
Step-by-step explanation:subtract the 2x from both sides which gives you 8y=-2x-64. Then you want to divide both sides by 8 to get y=-1/4x-8
Work in amount of pure acid let x = gallons of pure acid required.
then we have the equation:-
x + 55(0.6) = 0.80(x + 55)
x + 33 = 0.80x + 44
0.20x = 11
x = 11/0.2 = 55 gallons answer
Answer:
Both lines are not parallel
Step-by-step explanation:
Given as :
Two lines equation are as :
3y - 5x = 9 And y = - 
x - 12
First line is now written in eq y = mx + c
Or, 3y = 5x + 9
Or, y = x + 
So, Slop of this line ( m 1 ) =
slop of second line ( m 2) is 
∵ The slop of both lines are not equal , so the line are not parallel to each other .
Hence Both lines are not parallel Answer
