18. 26
19. 10
20. (26×26×26)×(10×10×10) = 17576000
21. (26×26×26) × (1×10×10) = 1757600
22. (26×25×24)+(10×9×8) =11232000
23. (25×24×1)×(10×9×8) =432000
24. 3/6 × 2/13 = 1/13
Answer:
See below...
Step-by-step explanation:
Theoretical probability is the probability that something should happen based on the beginning conditions. Such as having a jar of 30 marbles with 5 being blue. The probability of pulling out a blue marble when selecting 1 marble is
5/30, or 1/6. Theoretically you should pull one blue marble out every 6 times you pull a marble out.
This isn't guaranteed to happen though, that's where experimental probability comes form.
Experimental probability is the number of desired outcomes achieved, divided by the total number of outcomes. This is based on what actually happened. Say you selected a marble, and put it back 10 times, recording the color each time and you got 2 blue marbles. Your experimental probability is
2/10, or 1/5, which doesn't match the theoretical probability. The more times this experiment is conducted, the closer your result will be to the theoretical probability
The answer is 74,000 years.
It can be calculated using the equation:
<span><span>
<span>
<span>
<span>
<span>
<span>
<span>
<span>
<span>
<span>
<span>
<span>
<span>
<span>
</span></span></span></span></span></span></span></span></span></span></span></span>
<span>
</span></span></span><span>
</span></span> 
= decimal
amount remaining, where n is a number of half-lives.
<span>Decimal amount remaining is 0.00012 (= 0.012%). Let's calculate number
of half-lives.</span>
<span>
</span>
⇒ 
⇒ 
⇒ n ≈ 13
<span>
Now we know that number of half-lives is 13.</span>
Number of half-lives is quotient of total time elapsed and length of
half-life.<span>
<span>So, total time elapsed is a product of length of
half-life (5,730 years) and number of half-lives (13). Since 5,730 years × 13 =
74,490 years, then the person died 74,000 years ago (rounded to the nearest thousand).</span></span>
Answer:
4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
Step-by-step explanation:
Let A, B and C be the required expression, according to Associative property;
(A+B)+C = A+(B+C)
This shows that no matter the sum of values in parenthesis, it does not alter the values at both sides.
From the given expression, the expression that is equivalent using the Associative Property of Multiplication is 4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
Note that the product of the values in bracket do not affect the final values
4(2a ⋅ 5) = 4(10a) = 40a
(4 ⋅ 2a) ⋅ 5 = 8a ⋅ 5 = 40a
You can see that both expressions gives the same values
