Answer:
B
Step-by-step explanation:
Answer:
Step-by-step explanation:
Column 1 :
Column 2 :
Eqn(1)
Column 3 :
Add the equations.
<u>Fourth column : </u>
<u>Fift column :</u>
<u>Six</u><u>t</u><u>h column :</u>
Substitute .
Hence solution is .
Answer:
–0.5
Step-by-step explanation:
Expected value is found by multiplying the probabilities of each roll by the amount won or lost with each roll.
The odd rolls are 1, 3 and 5. The probability of rolling a 1 is 1/6, and the value is 1; this gives us 1/6(1) = 1/6.
The probability of rolling a 3 is 1/6, and the value is 3; this gives us 1/6(3) = 3/6.
The probability of rolling a 5 is 1/6, and the value is 5; this gives us 1/6(5) = 5/6.
Rolling any even number gives us the same value. The probability of rolling an odd number is 3/6, and the value is -4; this gives us 3/6(-4) = -12/6.
Together we have
1/6+3/6+5/6-12/6 = 4/6+5/6-12/6 = 9/6-12/6 = -3/6 = -0.5
Answer:
y =
Step-by-step explanation:
Given
2(3y + 5) = 3(5y + 3) ← distribute parenthesis on both sides
6y + 10 = 15y + 9 ( subtract 6y from both sides )
10 = 9y + 9 ( subtract 9 from both sides )
1 = 9y ( divide both sides by 9 )
= y