Answer:
We are given that the rate of change is proportional to its size S
So,
Integrating both sides
S is the population after t hours
is the initial population
Now we are given that After 6 hours there will be 1200 bacteria
So,
a)Now the population after t hours as a function of t;
b) What will be the population after 7 hours?
Substitute t = 7 hours
A bacteria culture starts with 200 bacteria
c) How long will it take for the population to reach 1750 ?
So, it will take 7.2 hours for the population to reach 1750
X^2 - 7x + 10 =
(x - 5)(x - 2) <==
Answer:
y=x+5
Step-by-step explanation:
Hope this helps! ; D
You want to find
P(1000 < X < 3000)
where X is normally distributed with mean 1751 and standard deviation 421. Transform X to Z, so that it follows the standard normal distribution with mean 0 and standard deviation 1 using the relation
X = 1751 + 421Z ==> Z = (X - 1751)/421
Then
P(1000 < X < 3000) = P((1000 - 1751)/421 < (X - 1751)/421 < (3000 - 1751)/421)
… ≈ P(-1.783 < Z < 2.967)
… ≈ P(Z < 2.967) - P(Z < -1.783)
… ≈ 0.9985 - 0.0373
… ≈ 0.9612
so that approximately 96.1% of the students fall in this income range.
Answer:
A. Garden plants grow better in wet soil than in dry soil.
Step-by-step explanation:
A testable hypothesis is theory that can actually be proven by facts rather than opinions