Calculator 1: Calculate the percentage of a number.
For example: 87% of 55 = 47.85
Calculator 2: Calculate a percentage based on 2 numbers.
For example: 47.85/55 = 87%
Lines 2 & 3 are parallel.
Answer:
11253
Step-by-step explanation:
the steps are described in the picture above
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:
∠FGB = 111°
Step-by-step explanation:
FGBE is a Kite. If you draw a line segment from F to B in bisects ∠GBE and ∠GFE into two triangles. The angles of a triangle with always add up to 180°. So, in triangle FBG, ∠GFB = 45° and ∠GBF = 24°. You subtract 45 and 24 from 180 and you are left with 111°.
