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
Answer:
D
Step-by-step explanation:
<h2><u>No more means the other number is less than or equal to.</u></h2>
Answer:
28x + 7y = 14.
Step-by-step explanation:
Just add the 28x to each side.
Answer:
(-4 , -3)
Step-by-step explanation:
<span>272mi/68mi/hr= 4 hr
Example:
Calculate the acceleration of a boat that has been cruising at 15 m/s but speeds up to 45 m/s in about 6 seconds. Don’t forget your units, m/s2. In order to calculate the acceleration of the boat we first have to identify the suited formula for acceleration in this scenario. </span>
<span>Hence, a = vf – vi / t. Vi = 15 m/s Vf = 45 m/s T = 6 seconds </span>
<span>Solution: </span>
<span>A = 45 m/s – 15m/s / 6s </span>
A = 5m/s^2<span>
</span>