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)
9) They traveled 31.9 hours over the 3-day trip.
10.9 + 8.6 + 12.4 = 31.9
10) She does not have enough money. She has $12, but everything she wants to purchase would cost $12.39.
Large drink = 1.79
Turkey sandwich = 4.85
1.79 + 4.85 = 6.64
6.64 + 5.75 = 12.39
Jesse saved about $85.77 in interest over the course of a year if he transfer from one credit card to another.
<h3>What is the interest accrued on savings?</h3>
The interest accrued on saving is the interest gained on saving or investment over a period of time.
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The amount of money saved in interest by Jesse over a period of 12 months provided that the transferred his balance to a credit card is calculated as follows:
Amount saved = 
Amount saved = 
Amount saved = $85.768
Amount saved = $85.77
Learn more about interest accrued on a savings here:
brainly.com/question/1434515
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Step-by-step explanation:
vertical angles or line pairs
c=60
180-120=60
180-131=49
60+49=109
180-109=71
A pair of scissors is a classic example of Linear pair of angles.
