Answer:
I= -20p^2 + 840p
Step-by-step explanation:
When the ticket price is $2 there are 800 passengers daily, but every $0.1 increase in ticket price the number of passengers will be decreased by 2.
You can put information into these equations of:
passenger- = (800-2x)
ticket price= p = $2 + 0.1x
Income is calculated by multiplying the number of the passenger with the ticket price. The answer will be expressed in terms of the ticket price, so we need to remove x from the passenger equation.
p= $2 +0.1x
p-$2 = 0.1x
x= 10p- $20
If p= ticket price, the function for the number of passengers it will be:
passenger = (800-2x)
passenger = 800- 2(10p- $20)
passenger =800- 20p+40
passenger =840- 20p
The function of I will be:
I= passenger x ticket price
I= 840- 20p * p
I= -20p^2 + 840p
So the total amount he saw today was 333 less than what he saw last time. Which means last time there was 333 more monkeys
Last sat he saw 161,949 monkeys
Answer:
See explanation below
Step-by-step explanation:
It depends on what null hypothesis is under consideration.
One of the most common null hypothesis that are subject of study in a given statistical model is <em>the mean</em> predicted by the model.
In this case, the scientist probably observed that the mean of tusk lengths she obtained in a sample did not match the one predicted with the H-W equation.
So, she decided to perform a statistical study by collecting random samples and measuring the tusk lengths to determine a new possible mean and contrast it against the one predicted by the H-W equation.
<em>Let's call M the mean predicted by the H-W equation, and S the mean obtained by the scientist.
</em>
If M different of S and the p-value is 0.021, that means that <em>there is at most 2.1% of probability that the difference between M and S could be due to a random sampling error.
</em>
It should be kept in mind that the p-value does not represent the probability that the scientist is wrong.