Answer:
P(D|A)=0.666
Step-by-step explanation:
We will use the tree diagram to understand these probabilities that is attached to the bottom of this answer.
Since there are three coins in the box, the probability of taking one in particular (the double-headed one, which is event D) is one third, which is equal to 0.333
Since the coin showed heads, the probability of it being a double-tailed coin is zero.
The Bayes theorem says that P(D|A) is the multiplication of P(D) and P(A), divided the probability of A happening by any means, happening D or not, which is the sum of all probabilities of A happening:
![P(D|A)=\frac{P(D)*P(A_1)}{P(D)*P(A_1)+P(E)*P(A_2)} =\frac{0.333*1}{0.333*1+0.333*0.5}=0.666](https://tex.z-dn.net/?f=P%28D%7CA%29%3D%5Cfrac%7BP%28D%29%2AP%28A_1%29%7D%7BP%28D%29%2AP%28A_1%29%2BP%28E%29%2AP%28A_2%29%7D%20%3D%5Cfrac%7B0.333%2A1%7D%7B0.333%2A1%2B0.333%2A0.5%7D%3D0.666)
Answer:
Y^2+6y+4
Step-by-step explanation:
It the same thing because they are not likewise terms the rest of the numbers/variables exspect for 4,so there is no work done
Answer:
θ = 49.4584°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] cosθ = adjacent over hypotenuse
- Inverse Trig
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Angle θ = ?
Adjacent Leg = 13
Hypotenuse = 20
<u>Step 2: Find Angle</u>
- Substitute in variables [cosine]: cosθ = 13/20
- Inverse Trig: θ = cos⁻¹(13/20)
- Evaluate: θ = 49.4584°
The width is 60!!! Because it says the length is twice as long as the width which would mean the width is half of the length and half of 120 is 60!!! ;)
Answer: C
Step-by-step explanation:
450 is her initial value
225 is her rate of change or constant rate