Answer:
Write a ratio.
70 : 5
x : 1
To solve for x, cross multiply.
70 : 5x
Divide both sides by 5.
14 = x
So, NoClue can rap 14 syllables per second.
:)
The value of the P(A∩B) is equal to 0.04.
We have given that,
P(A)= 0.4 and P(B) = 0.85.
We have to determine the P(A and B)
<h3>What is the formula for Independent Events?</h3>
For Independent Events,
P(A) × P(B) = P(A∩B)
so we have, P(A∩B) = 0.4×0.1
P(A∩B) = 0.04
P(A') = 1 - 0.4 = 0.6
This information can be represented on a Venn diagram as shown below
P(A'∪B) means the union of everything that is not A with everything that is B
P(A'∪B) = 0.06 + 0.54 + 0.04
P(A'∪B) = 0.64
To learn more about the events visit:
brainly.com/question/25821071
#SPJ1
Answer:
a,c
Step-by-step explanation:
my brain is very large
Answer:
FD = 25.94
Step-by-step explanation:
13x - 16 = 4x + 11 (Tangents drawn from an external point are equal)
13x - 4x = 11 + 16
9x = 27
x = 3
substituting x in 4x + 11,
4(3) + 11
12 + 11
23
ΔFED is a right triangle,
FD² = FE² + DE²
FD² = 12² + 23²
FD² = 144 + 529
FD² = 673
FD = 25.94
Answer:
A) y^3+27
Step-by-step explanation:
There are two ways of solving this problem:
1. Recognizing this as the factored form of the sum of perfect cubes
2. Distribute and add the like terms.
1. In order to distribute we must multiply y by y^2-3y+9, and then 3 by y^2-3y+9:


After we add the positive and negative 3y^2 and 9y, they will cancel out and be gone entirely:

2. You know how you can factor the difference of perfect squares?
As an example:

Well, not many people know this but you can actually factor both the sum and difference of perfect cubes:


Because we have these identities, we can easily establish here that we have the sum of perfect cubes, and that (y+3)(y^2-3y+9)= y^3+3^3 = y^3+27