Answer:
8.5
I hope this helps.
Step-by-step explanation:
7^2 + x^2 = 11^2
Given:
Initial number of bacteria = 3000
With a growth constant (k) of 2.8 per hour.
To find:
The number of hours it will take to be 15,000 bacteria.
Solution:
Let P(t) be the number of bacteria after t number of hours.
The exponential growth model (continuously) is:

Where,
is the initial value, k is the growth constant and t is the number of years.
Putting
in the above formula, we get



Taking ln on both sides, we get

![[\because \ln e^x=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20e%5Ex%3Dx%5D)



Therefore, the number of bacteria will be 15,000 after 0.575 hours.
Answer:
1/5
Step-by-step explanation:
She has 2 outcomes that satisfy a number less than 3. She can choose either 1, or 2.
There are 10 possible choices, so the probability is
2/10 = 1/5
Answer:
The proportion of customers who used coupons within the last 2 years is 0.1089.
Step-by-step explanation:
A proportion is the number of desired outcomes divided by the number of total outcomes.
Proportion of customers who used coupons within the last 2 years.
Desired outcomes:
Number of receipts which are discounted by coupons, which is 49
Total outcomes:
Total number of receipts, which is 450
Proportion:

The proportion of customers who used coupons within the last 2 years is 0.1089.
Answer is D unless theres a nother right answer