Answer:
Step-by-step explanation:
- Initial number of bacteria = 3.3 million
- Growth rate = 2.5 times per 10 minutes
- Time = 30 minutes = 3*10 minutes
<u>Number of bacteria after 30 minutes:</u>
Correct choice is C
The answer will be that out of 36 boys 24 speak french and 12 speak german and out of 24 girls 16 speak french and 8 speak german.
<h3>What is the frequency tree?</h3>
In the question we have that there are 60 students in total out of which 36 are boys:
So number of the girls will be = 60-36=24
Now if 2/3 of the boys speak french the number of the boys who speak french will be = (2÷3)x36=24
Now the number of the boys who speak german will be =36-24=12
Now since 40 students study french so we have the number of the boys who speak french is 24. so the number if the girls who speak french will be =40-24=16
Since there are 24 girls in total and out of them 16 speak french so the remaining girls speak german=24-16=8
Hence answer will be that out of 36 boys 24 speak french and 12 speak german and out of 24 girls 16 speak french and 8 speak german.
To know more about the Frequency tree follow
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Step-by-step explanation:
The formula for the area of a square is:
A
=
s
2
Where:
A
is the area of the square.
s
is the length of the side of a square.
Substituting and solving for
s
gives:
225
cm
2
=
s
2
We can take the square root of each side of the equation giving:
√
225
cm
2
=
√
s
2
15
cm
=
s
s
=
15
cm
The formula for the perimeter of a square is:
p
=
4
s
Where:
p
is the perimeter of the square.
s
is the length of the side of a square.
Substituting for
s
from the solution for the previous formula and calculating
p
gives:
p
=
4
×
15
cm
p=60cm
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Answer:
The required probability is 0.167
Step-by-step explanation:
Consider the provided information.
Let x be the number of breakdown per day.
A new automated production process averages 1.4 breakdowns per day.
λ=1.4
Probability of having three or more breakdowns during a day is:
![P(x\geq 3)=1-[f(0)+f(1)+f(2)]](https://tex.z-dn.net/?f=P%28x%5Cgeq%203%29%3D1-%5Bf%280%29%2Bf%281%29%2Bf%282%29%5D)
The Poisson probability function is: 
Therefore the required probability is:
![P(x\geq 3)=1-[\frac{\left(1.4^{0}e^{-1.4}\right)}{0!}+\frac{\left(1.4^{1}e^{-1.4}\right)}{1!}+\frac{\left(1.4^{2}e^{-1.4}\right)}{2!}]](https://tex.z-dn.net/?f=P%28x%5Cgeq%203%29%3D1-%5B%5Cfrac%7B%5Cleft%281.4%5E%7B0%7De%5E%7B-1.4%7D%5Cright%29%7D%7B0%21%7D%2B%5Cfrac%7B%5Cleft%281.4%5E%7B1%7De%5E%7B-1.4%7D%5Cright%29%7D%7B1%21%7D%2B%5Cfrac%7B%5Cleft%281.4%5E%7B2%7De%5E%7B-1.4%7D%5Cright%29%7D%7B2%21%7D%5D)


Hence, the required probability is 0.167