Answer:
<em>Width</em>: 3y²
<em>Length</em>: 4 + 7y³
Step-by-step explanation:
The area of the rectangle is the length multiplied by the width. For the area given: 12y² + 21y⁵
12y² = 3y²*4
21y⁵ = 3y²*7y³
So, the greatest common monomial factor is 3y², which is the width.
The area is 3y²*(4 + 7y³), the first term is the width, the other must be the length: 4 + 7y³.
(p - 0.15p) + 1.99
This is the equation to solve.
p minus 15% of p, plus 1.99 for shipping costs.
Answer:
0.83193
Step-by-step explanation:
Probability of having the Rhesus (Rh) factor present in their blood; p = 0.3
Sample size; n = 5
We want to find the probability the probability that at least one does not have the Rh factor.
This will be;1 - P(X < 1)
This is a binomial probability distribution. Thus;
P(X = k) = C(n, k) × p^(k) × (1 - p)^(n - k)
P(X < 1) = P(X = 0)
Thus;
P(X = 0) = C(5, 0) × 0.3^(0) × (1 - 0.3)^(5 - 0)
P(X = 0) = 1 × 1 × 0.16807
P(X = 0) = 0.16807
Thus;
1 - P(X < 1) = 1 - 0.16807 = 0.83193
Domain values represent possible x values that are allowed to be plugged in and produce a y value. The values (in this case value) that are not allowed to be plugged in are what make the denominator zero (since you cannot divide by zero). Simply set the denominator equal to zero to figure out this value.
3x + 8 = 0
3x = -8
x= -8/3, this value is not in the domain.