A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical
1 answer:
Answer:
78% probability that a randomly selected online customer does not live within 50 miles of a physical store.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that:
Total outcomes:
100 customers
Desired outcomes:
A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical stores. So the number of desired outcomes is 78 customers.
Using this estimate, what is the probability that a randomly selected online customer does not live within 50 miles of a physical store?
78% probability that a randomly selected online customer does not live within 50 miles of a physical store.
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Answer:
a) The expression for the height, 'H', of the plant after 't' day is;
b) The height of the plant after 30 days is approximately 19.426 inches
Step-by-step explanation:
The given maximum theoretical height of the plant = 30 in.
The height of the plant at the beginning of the experiment = 5 in.
a) The logistic differential equation can be written as follows;
Using the solution for the logistic differential equation, we get;
Where;
A = The condition of height at the beginning of the experiment
M = The maximum height = 30 in.
Therefore, we get;
A = 5
When t = 20, H = 12
We get;
∴ -(30·k)·20 = ㏑(1.5)
k = ㏑(1.5)/(30 × 20) ≈ 6·7577518 × 10⁻⁴
k ≈ 6·7577518 × 10⁻⁴
Therefore, the expression for the height, 'H', of the plant after 't' day is given as follows
b) The height of the plant after 30 days is given as follows
At t = 30, we have;
The height of the plant after 30 days, H ≈ 19.426 in.