Answer:
0.014
Step-by-step explanation:
The probability that the Islanders will win at least 6 out of seven is the probability of them winning exactly 6 games, P(X=6), added to the probability of them winning all seven games, P(X=7).
This problem can be treated as a binomial probability model with probability of success p = 0.38 in each of n = 7 games.

Thus:

The probability is:

The probability that the Islanders will win at least six out of seven games in a series against the Rangers is 0.014.
Answer:
Step-by-step explanation:
Given that zeroes of a polynomial are
-3, -1, 1, 4
Degree of the polynomial is 4
Also leading coefficient is 1.
So we find easily the polynomial
Since polynomial is 0 at the given four points the polynomial is a product of

Since leading coefficient is given to be 1 we need not multiply an arbitrary constant a
so the required polynomial is

Answer:
peep
Step-by-step explanation:
Answer:
- -7.5x -12.5, x < -1
- 7.5x +2.5, x ≥ -1
Step-by-step explanation:
The absolute value function changes slope at its vertex. Here, that vertex is translated to x = -1. To the left of that point, the function is equivalent to one that negates its argument:
|x| = -x . . . for x < 0
|x| = x . . . for x ≥ 0
<u>for (x+1) < 0</u>
y = -7.5(x +1) -5 = -7.5x -12.5
<u>for (x+1) ≥ 0</u>
y = 7.5(x +1) -5 = 7.5x +2.5
This means we can write the piecewise function as ...
