I attached a picture, see if you can see what I'm doing. Basically, I start by squaring everything to get rid of the radical, but just remember at the end to always, always check your answers, because squaring your answers could get rid of some negative numbers that could result in imaginary answers. The answer I came up with was a=5,-2
The question describes a binomial probability with p(h) = p, then p(t) = 1 - p and number of trials (n) = 20
The probability of a binomial distribution is given by
Part A:
The probability of observing 8 heads and 12 tails is given by:
Part B:
<span>You observe more than 8 heads and more than 8 tails, when you observe 9 heads and 11 tails, 10 heads and 10 tails, and 11 heads and 9 tails.
Therefore, the probability of </span><span>observing more than 8 heads and more than 8 tails</span> is given by:
Answer:
Step-by-step explanation:
Given
Required
The nth term
The given sequence is a geometric sequence.
So, first we identify the first term
Calculate common ration
or 
So, the nth term is:
Step-by-step explanation:
The x-intercepts are x = -1 and x = 5, so:
y = k (x + 1) (x − 5)
The vertex is (2, -3), so:
-3 = k (2 + 1) (2 − 5)
-3 = -9k
k = 1/3
y = 1/3 (x + 1) (x − 5)
Simplifying:
y = 1/3 (x² − 4x − 5)
y = 1/3 x² − 4/3 x − 5/3
