2. (3 points) Ruby Jewel scoops ice cream from a half-gallon container. It is known the container has an average of 6 ounces with a standard deviation of 4 ounces. Scoops of ice cream are an average of 5 ounces with a standard deviation of 1.2 ounces. Suppose

that they start with a full container of ice cream and take out three scoops. Let X be the amount of ice cream remaining. Determine E[X] and SD[X] Include units.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

the answer is 1 becuz if it were 1.0 that would rip apart the entire so ya. : )

~potato.

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