Answer:
x = -5
Step-by-step explanation:
Multiply 3 by (6x - 4x) = 18x - 12x
18x - 12x = -30
6x = -30
x = -30 /6
x = -5
Answer:
35
Step-by-step explanation:
We have to solve the problems in the parenthesis first.
(16-2÷2)= (16-1)=(15)
20÷2-15÷3
(20÷2)-(15÷3)
10-5=5
50-5= 45
80-45= 35
Hope this helps!
Answer:
4/663
Step-by-step explanation:
There are four queens. The probability that the first card is a queen is 4/52.
There are four kings. There are 51 cards left after the first card has been drawn, so the probability that the second card is a king is 4/51.
Therefore, the probability that the first card is a queen AND the second card is a king is:
P = 4/52 × 4/51
P = 4/663
Answer:
you should accept the $1,000 bill
Step-by-step explanation:
Given the information:
- $500 for rolling 1 or 2
- $400 for rolling 3
- lose $300 for rolling 4,5,6
P (rolling 1 or 2) = 1/6 + 1/6 = 2/6 = 1/3
P (rolling a 3) = 1/6
P (rolling 4 or 5 or 6) = 3/6 = 1/2
Hence, the expected value for 1 time is:
E = (1/3)*500 + (1/6)*400 - (1/2)*300
E = $166 + $66 - $150
E = $82
Expected value is linear so if you roll the die 10 times, expected value is: 10*82 = $820
The expected value is $82, meaning you should accept the $1,000 bill
