Answer:
The y intercept in -8
Step-by-step explanation:
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: 6.125 or 6¹/₈ units of water
Step-by-step explanation:
There are 7 people in the family and each of them are mean to drink 7/8ths of water.
The amount of water all 7 should take is therefore:
= 7 * 7/8
= 49/8
= 6.125 or 6¹/₈ units of water
Answer:
b) 1/9
Step-by-step explanation:
the dice was rolled 36 times, out of those 36 times #4 was rolled 4 times. 4/36 can be redused to 1/9.
Answer:
Second choice
Step-by-step explanation:
To find inverses, we follow the steps:
1. exchange variables x and y
2. solve for y in terms of x.
The resulting function is the inverse.
Take case 2 as an example:
f(x) = y = 2x-3
1. exchange x and y : x=2y-3
2. solve for y: x+3=2y => y=(x+3)/2 = g(x)
Since the inverse of f(x) is g(x)=(x+3)/2, the second choice is the answer.
