Answer: 0.008
Step-by-step explanation:
We have 3 experiments.
Each experiment is exactly the same: "Drawing the card with the number 5, out of a bag with five cards".
in a random selection all the cards have exactly the same probability of being drawn, so the probability of drawing the 5, is equal to the quotient between the number of cards with the 5 (only one) and the total number of cards in the bag (5) then the probability is:
p = 1/5.
And we want this event to happen 3 consecutive times, then the total probability is equal to the product of the probabilities for each event:
P = (1/5)*(1/5)*(1/5) = 1/125 = 0.008
Answer:
2 and 3
Step-by-step explanation:
20/12 = 1.6666666
15/9 = 1.6666666
Answer:
146
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Algebra II</u>
- Distance Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point A(2, 125)
Point B(98, 15)
<u>Step 2: Identify</u>
A(2, 125) → x₁ = 2, y₁ = 125
B(98, 15) → x₂ = 98, y₂ = 15
<u>Step 3: Find distance </u><em><u>d</u></em>
- Substitute in coordinates [Distance Formula]:

- [√Radical] (Parenthesis) Subtract:

- [√Radical] Evaluate exponents:

- [√Radical] Add:

- [√Radical] Evaluate:

(1x+2y+3z)/(x+y+z)=1.5
x+2y+3z=1.5x+1.5y+1.5z
0.5y+1.5z=0.5x
x=y+3z
Answer:
-20/33
Step-by-step explanation:
y2 - y1 / x2 - x1
1/6 - (-1/4) / -5/16 - 3/8
5/12 / -11/16
= -20/33