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PolarNik [594]
2 years ago
12

Two balls are pulled one after another, without replacement, from the box containing three black, five yellow, and seven red bal

ls. What is the probability that the 1st ball is yellow, if the 2nd ball is black
Mathematics
1 answer:
kolezko [41]2 years ago
6 0

Answer:

1/14

Step-by-step explanation:

5/15 × 3/14 = 1/14

Or 0.0714 (3sf)

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Zoologists are studying two newly discovered species of insects in a previously unexplored section of rain forest. They estimate
salantis [7]
The population Pa of insect A after t years is given by the equation 
     Pa = 1.3(1-0.038)^t 
while the population Pb of insect B after t years is 
     Pb = 2.1(1-0.046)^t

We equate the above expressions to find the number of years t it will take the two populations to be equal: 
     Pa = Pb
     1.3(1-0.038)^t  = 2.1(1-0.046)^t
     1.3(0.962)^t  = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.

We can now solve for t:
     (0.962)^t / (0.954)^t = 2.1/1.3
     (0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
     t = log (2.1/1.3) / log (0.962/0.954)
     t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
8 0
3 years ago
Read 2 more answers
A triangle has one side measuring 5 feet and two sides measuring 7 feet. What kind of
Svetllana [295]

Answer:

isoceles but not equilateral

Step-by-step explanation:

it has two sides that are the same length, but not all three sides are the same length

An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal

8 0
2 years ago
MATH work to get out for today... THANKS!!!
Helen [10]

Answer:  Number 4: 0.07, 60%, 13/20, 2/3, 0.70, and then 3/2

Step-by-step explanation:

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In a new movie
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Answer. 655.4

Step-by-step explanation:

what did u get?

5 0
3 years ago
a ski chalet offers 2 weekend packages. one package provides 2 nights and 3 meals for$280. the other provides 2 nights and 5 mea
Helga [31]


<span> <span>1st</span></span><span> formula 2n + 3m = 280
</span><span><span>
</span><span>2nd</span></span><span> formula 2n + 5m = 320
</span><span><span>
</span><span>rearrange 1st</span> formula to equal n:</span>

    <span><span>2n = -3m + 280
</span>      </span><span>n = -3/2 m + 140
</span><span><span>
</span><span>rearrange 2nd</span> formula to equal n:</span>

 <span><span>2n = -5m + 320
</span> </span><span>n = -5/2m + 160
</span><span><span> so now you have

</span>-3/2m + 140 = -5/2m + 160 </span>

<span><span>Rearrange to become:
</span> </span><span><span>-3/2m + 5/2m = 160 - 140
</span> </span><span>m = 20
</span><span>
</span>

<span>Now place 20 into the very 1st</span><span><span> equation in place of the letter m
</span> </span><span><span>2n + 3(20) = 280
</span> </span><span><span>2n + 60 = 280
</span> </span><span><span>2n = 220
</span> </span><span>n = 110
</span><span><span>
</span>so it costs $110 per night, $20 per meal</span>


8 0
3 years ago
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