Answer:
52
Step-by-step explanation:
<u>Spinner A</u>
- Probability of red = 0.5,
- Probability of blue = 0.5
<u>Spinner B</u>
- Probability of red = 0.6,
- Probability of blue = 0.4
<u>Probability of both A and B land on red: </u>
<u>Number of attempts to get outcome of 84 red on both spinners is:</u>
<u>Probability of both spinners land on blue:</u>
<u>Estimated number of both spinners land on blue:</u>
Answer:
B) A herd of lions whose numbers triple every decade.
Step-by-step explanation:
Situations that can be modeled by exponential functions:
A situation can be modeled by exponential functions when the change is a multiplication or a division, not a sum or subtractions.
In this question:
In option A, C and D the measures are a sum or subtractions, as the rate of change is always the same. So it rests option B as the answer, as tripling is multiplying by 3.
Answer:
All real numbers between 0 and 6
Step-by-step explanation:
We know, the function represents 'the amount of water in the pool until it is full'.
That is, 'It is a function of time giving the value of amount of water in the pool until it is full'.
So, we get that,
The domain is representing the time in which the pool is filled completely.
As, we are given that,
Maximum time taken to completely fill the pool = 6 hours.
So, the domain of the functions is 'All real numbers between 0 and 6'.
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" ;
___________________________________
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 .
____________________________________________