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:
- 13
Step-by-step explanation:
To evaluate (g ○ f)(3), evaluate f(3) then use this value to evaluate g(x)
f(3) = 3 - 7 = - 4, then
g(- 4) = 4(- 4) + 3 = - 16 + 3 = - 13
The length of the line segment is 24 cm.
Answer: b.
Step-by-step explanation:
Based on the information given, you can write the following expression:

Where k is the the constant of variation
If y=4/63 when x=3, then you can substitute these values into the expression and solve for k:

Substitute k into the expression. Then the equation is:

Substitute x=5 into the equation. Then, y is:

Answer:
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