We want to find the probability that the two students chosen for the duet are boys. We will find that the probability that both students chosen for the duet are boys is 0.458
If we assume that the selection is totally random, then all the students have the same<em> </em><em>probability </em><em>of being chosen.</em>
This means that, for the first place in the duet, the probability of randomly selecting a boy is equal to the quotient between the number of boys and the total number of students, this is:
P = 11/16
For the second member of the duet we compute the probability in the same way, but this time there is one student less and one boy less (because one was already selected).
Q = 10/15
The joint probability (so both of these events happen together) is just the product of the individual probabilities, this will give:
Probability = P*Q = (11/16)*(10/15) = 0.458
So the probability that both students chosen for the duet are boys is 0.458
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Answer:
80%
Step-by-step explanation:
To find percent decrease (new amount/original amount)*100
(500/625)*100
=80
--
to check
625*.80
=500
or
625*80%
=500
Option C. all real numbers greater than 0 is the correct answer
Further explanation:
Domain is the set of all inputs on which the function is defined or real.
The given function is:
As the function involves a square root, we have to avoid negative numbers.
- All positive real numbers will produce defined output so the positive real numbers will be included in the domain.
- If we look at negative real numbers, we will be taking square root of a negative number which will not result in a real number
So the domain will only include positive real numbers.
Hence, Option C. all real numbers greater than 0 is the correct answer.
Keywords: Domain, Domain of radical functions
Learn more about domain at:
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Answer:
d
Step-by-step explanation:
Answer:
45 mins
Step-by-step explanation:
The question is how much time should the painter spend on painting a doll for the costs to still be equal or lower to $24.50
We can make this equation, representing the raw materials + the painting job (at $18/h):
$11 + $18x = $24.50
18x = 13.50
x = 13.5 / 18 = 0.75
So, the painter should spend at most 3/4 of an hour (or 45 mins) painting a doll to keep the cost at or below $24.50 per doll.
