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:
25π
Step-by-step explanation:
1) for whole circuit: A=π*r², where r - radius of the given circle;
2) for a quater of the circuit: A=πr²/4;
3) finally, A=π*100/4=25π.
Answer:
<h2>3x³ + 5</h2>
Step-by-step explanation:
( 4x - 2x³ ) + ( 5x³ - 4x + 5)
<u>Remove the parenthesis</u>
That's
4x - 2x³ + 5x³ - 4x + 5
<u>Group like terms</u>
We have
5x³ - 2x³ + 4x - 4x + 5
We have the final answer as
<h3>3x³ + 5</h3>
Hope this helps you
5x4=the amount of change. His total change was $20
The formula to find the amount is
The given function is
Comparing them we get
Subtracting 1 from both sides
Multiplying by 100 on both sides
