Answer: x = 1.1968729357 ; or, round to: 1.2 .
____________________________________________ You would take the "ln" (that is, "natural logarithm") of EACH side of the equation:
ln (e^4x) = ln (120);
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Then continue:
4x ln e = ln 120
4x = ln 120 ; (since "ln e = 1")
then divide EACH side of the equation by "4", to isolate "x" on one side of the equation; and to solve for "x" ;
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4x / 4 = (ln 120) / 4 ;
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x = (ln 120) / 4 ;
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Using a calculator:
_________________________________________________________
x = (ln 120) / 4 = (4.78749174278) / 4 = 1.1968729357
Answer: x = 1.1968729357 ; or, round to: 1.2 .
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Answer:
D
Step-by-step explanation:
only solution C and D are linear function, and they are essentially straight lines. However, C have a x intercept of 5/2, so we rule out option C.
Answer:
0.0110
Step-by-step explanation:
This is a Poisson distribution problem
Poisson distribution formula is given as
P(X = x) = (e^-λ)(λˣ)/x!
where λ = mean = 3 automobiles per minute
x = variable whose probability is required = more than 9 automobiles in a minute
P(X>9) = 1 - P(X ≤ 9)
P(X ≤ x) = Σ (e^-λ)(λˣ)/x! (Summation From 0 to x)
P(X < 9) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6) + P(X=7) + P(X=8) + P(X=9)
So, computing this one at a time, and summing it all up
P(X ≤ 9) = 0.99620
P(X>9) = 1 - P(X ≤ 9) = 1 - 0.99890 = 0.0110
256 cubed cm.... you get this by multiplying them three numbers.
Ok, so so we gots from x≤-1 and x≥1 for the bounds
hmm, the x≤-1 one
hmm, looks like the y intercept is -1 and the slope is 2/1
y=2x-1
test (-1,-3)
works
test (-2,-5)
works
yep
2x-1 is first blank
the other one
seems to have y intercept at 4 and slope of 1
y=1x+4
y=x+4
this works because I tested it
top left: 2x-1
top right: x≤-1 or x is less than or equal to -1
bottom left: x=4
bottom left: x≥1 or x is greater than or equal to 1
