Answer:
1. -5
2. 0
Step-by-step explanation:
<em>1.</em> Distribute the Negative Sign:
=a−2a+−1(3a−(4a−5))
=a+−2a+−1(3a)+−1(−4a)+(−1)(5)
=a+−2a+−3a+4a+−5
Combine Like Terms:
=a+−2a+−3a+4a+−5
=(a+−2a+−3a+4a)+(−5)
Answer:
=−5
<em>2. </em>Distribute:
=(13)(5)+(13)(−t)+−5+t+(−12)(5)+(−12)(−t)
=65+−13t+−5+t+−60+12t
Combine Like Terms:
=65+−13t+−5+t+−60+12t
=(−13t+t+12t)+(65+−5+−60)
Answer:
=0
7. tails, odd, 4
P(tails) = 1/2
P(odd) = 3/6 = 1/2
P(4) = 1/6
P(tails then odd then 4) = (1/2)×(1/2)×(1/6) = 1/24 ≈ 0.041666
Answer: 1/24, 4.2%
8. tails, 6 or 1, 3
P(6 or 1) = 2/6 = 1/3
P(3) = 1/6
P( tails, 6 or 1, 3) = (1/2)(1/3)(1/6) = 1/36 ≈ 0.027777
Answer: 1/36, 2.8%
9. heads, not 2, even
P(heads) = 1/2
P(not 2) = 5/6
P(even) = 1/2
P(heads, not 2, even) = (1/2)(5/6)(1/2) = 5/24 ≈ 0.208333
Answer: 5/24, 20.8%
Answer:
- 4
Step-by-step explanation:
The absolute value of a number renders a number positive regardless of the preceeding sign. Therefore, either a number is positive or negative, the absolute value of such number will be positive.
In a number line, 0 is the midpoint and values to the left of 0 are negative, while those to the right are positive.
For the scenario, above, the bug is to the left of 0 and has an absolute value of 4 ;
The current position of the number line will be 4 (absolute value) places to the left of 0 which is - 4 (negative numbers are in the left).