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:
See below.
Step-by-step explanation:
Let's look at the cost for members (C1) first. Let x be the number of visits.
C1(x) = 12 + 8x
For non-members (C2), we can do the same.
C2(x) = 10x
You can graph these two equations.
x C1 C2
0 12 0
1 20 10
2 28 20
3 36 30
4 44 40
5 52 50
6 60 60
7 68 70
Let's make the two equations equal, to find out where the benefit is the same.
12 + 8x = 10x
2x = 12
x = 6
Up to 5 visits, the non-member cost is better. At 6 visits, there's the same price. For more than 6 visits, the member cost is better.
Answer:
7868
Step-by-step explanation:
⇒ This can be written algebraically (with a variable <em>x</em>) as:
562 ÷ x = 14
⇒ Convert the division as a fraction:
= 14
⇒ Multiply both sides by 562 to get rid of the fraction and to isolate the variable <em>x</em>:
562 · = 14 · 562
⇒ Simplify:
x = 7868
<u>Answer:</u> 7868
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<em>Hope this helps!</em> :)
Answer:
I know this is late but the actual answer is d=3s+-50
Step-by-step explanation:
The reason is because he is swimming down, so yeah.
