Answer:
Step-by-step explanation:
The expected value is the probability of an event multiplied by the number of times the event happens. And if there is more than 1 event, the expected value is the sum of those.
There are 52 cards in a deck.
There are 12 face cards in a deck. (gain 10)
There are 4 ace in a deck. (gain 20)
Any other card is 36 of them. (lose 5)
The probability of face card is 12/52
The probability of ace is 4/52
The probability of any other card is 36/52
Thus the expected values is:
(12/52)(10) + (4/52)(20) + (36/52)(-5) = $0.38
Answer:
500=120+60
Variable would either be M or D For 60
Step-by-step explanation:
Answer:
Rate of interest r = 2.83 % (Approx.)
Step-by-step explanation:
Given:
Amount invested p = $2,600
Amount get A = $4,300
Number of year n = 18
Find:
Rate of interest r
Computation:
A = p(1+r)ⁿ
4,300 = 2,600(1+r)¹⁸
(1+r)¹⁸ = 1.653846
Rate of interest r = 2.83 % (Approx.)
I’m pretty sure the answer is (2,1)
Answer:
(a)
(b)
(c)
Step-by-step explanation:
We are required to construct 3 linear equations starting with the given solution z = 1/3.
<u>Equation 1</u>
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Multiply both sides by 9

Rewrite 3 as 5-2
9z=5-2
Add 2 to both sides
Our first equation is: 
<u>Equation 2</u>
<u />
<u />
Multiply both sides by 21

Rewrite 7 as 11-4
21z=11-4
Subtract 11 from both sides
Our second equation is: 
<u>Equation 3</u>
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Multiply both sides by 6

Rewrite 6z as 4z+2z
4z+2z=2
Subtract 2z from both sides
Our third equation is: 