ANSWER
The coefficient is 70.
EXPLANATION
The given binomial expression is

The specific term of a binomial expansion can be determined using the formula,

where

We substitute these values into the formula to get,

We simplify to get,

Hence the coefficient is 70.
Answer:
The line would be y = -1/4x + 27/4
Step-by-step explanation:
In order to find this, we first need to note that the original slope is -1/4. And since parallel lines have the same slope, we know our new line will have that same slope. Now, we can use that slope and the point in point-slope form and solve for y.
y - y1 = m(x - x1)
y - 6 = -1/4(x - 3)
y - 6 = -1/4x + 3/4
y = -1/4x + 27/4
Answer :
Yes, the experiment is a binomial experiment because it satisfies all the four characteristics of the binomial experiment :
1. Fixed number of trials
2. Exactly two outcomes
3. Outcomes are independent of each other
4. Probability of all the outcomes remains constant from trial to trial.
Success in the given experiment is that the baby recovers fully.
Hospital is caring for 6 babies , n = 6
p = 0.20 ( Success )
q = 1 - 0.20 = 0.80 ( Not a success )
Value of random variable x is the number of babies which are recovering fully, x = 0, 1, 2, 3, 4, 5 or 6