Answer: 0.02 per year
Step-by-step explanation:
When given the per capita birth rate and the per capita death rate, the per capita growth rate can be calculated as:
= per capita birth rate - per capita death rate
= 0.11 - 0.09
= 0.02/year
= 2% per year
Using the binomial distribution, it is found that there is a 0.81 = 81% probability that NEITHER customer is selected to receive a coupon.
For each customer, there are only two possible outcomes, either they receive the coupon, or they do not. The probability of a customer receiving the coupon is independent of any other customer, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- For each customer, 10% probability of receiving a coupon, thus .
- 2 customers are selected, thus
The probability that <u>neither receives a coupon is P(X = 0)</u>, thus:
0.81 = 81% probability that NEITHER customer is selected to receive a coupon.
A similar problem is given at brainly.com/question/25326823
X/9=1
Multiply both sides by 9. So x=9.
Answer:
x = -9/4
Step-by-step explanation:
−2(x + 1/4) + 1 = 5
Subtract 2 from both sides.
−2(x + 1/4) = 4
Divide both sides by -2.
x + 1/4 = -2
Subtract 1/4 from both sides.
x = -2 1/4
x = -9/4