Answer:
1
Step-by-step explanation:
Probability is given by number of possible outcomes ÷ number of total outcomes
Assuming we stop rolling the six-sided die once our sum is 290 ( exceeds 285)
Number of possible outcomes = 75, number of total outcomes = 290
Probability (75 rolls are needed to get this sum) = 75/290 = 0.259
Probability (more than 75 rolls are needed to get this sum) = 1 - 0.259 = 0.741
Probability (at least 75 rolls are needed to get this sum) means that either 75 rolls or more than 75 rolls are needed to get this sum = 0.259 + 0.741 = 1
Answers:
a = 2
b = 3
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Explanation:
Plug in x = 0 and y = 2 to find that
y = a*b^x
2 = a*b^0
2 = a*1
2 = a
a = 2
Then plug in x = 3 and y = 54 to determine the value of b
y = a*b^x
y = 2*b^x
54 = 2*b^3
2b^3 = 54
b^3 = 54/2
b^3 = 27
b = (27)^(1/3)
b = 3
So we have y = a*b^x update to y = 2*3^x
