Answer:
5, 8, and 9
Step-by-step explanation:
If the function is to be factorable, then k must be values which have factors that add to 6.
6 can be added as 1+5, 2+4, and 3+3. These pairs of factors multiply to 5, 8, and 9.
Answer:
77.47%
Step-by-step explanation:
We have to use Bayes Theorem in solving this problem.
This theorem's formula is:
P(A | B) = 
Where the " | " means <u><em>"given that"</em></u>.
For our problem, using bayes theorem, we can write:
P(Student has lice | positive ) = 
- P(Positive) = 0.1692 + 0.0492 = 0.2184
- P (Student has Lice & Positive ) = 0.1692
So P(Student has lice | Positive ) = 
I think it’s A because it’s not supplementary I’m not sure
Answer:
6 blue marbles
Step-by-step explanation:
Given;
Total number of marbles N = 15
probability of randomly selecting a green marble
P(G) = 1/5
The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble P(G∩B) = 2/25
P(G∩B) = P(G) × P(B)
P(B) = P(G∩B) ÷ P(G)
The probability of selecting a blue marble
P(B) = 2/25 ÷ 1/5 = 2/5
The number of blue marbles N(B) = P(B) × N
N(B) = 2/5 × 15 = 6
There are 6 blue marbles
Answer:
The coordinates of D are (8,3)
Step-by-step explanation:
We have quadrilateral ABCD being a parallelogram with coordinates A(3,2), B(5,4), C(10,5), and D(a,b).
We want to find the coordinates of D.
Since ABCD is a parallelogram, the diagonals AC and BD bisects each other.
The midpoint of AC is (13/2,7/2).
This is also the midpoint of BD.
By the midpoint rule:

This implies that:

Similarly,

The coordinates of D are (8,3)