Answer:
Min: 143
Q1: 150
Med: 161
Q3: 168
Max: 180
Step-by-step explanation:
Answer: 4 buffalos and 20 chickens (i think)
Step-by-step explanation:
2x+4y= 8
Ducks have 2 legs and buffalos have 4.
x= ducks y=buffalos
2(24-y)+4y=24
48-2y+4y=40
2y=8
y=4
4 buffalos
x+y=24
x=24-y
x=24-4
x=20
20 ducks
Answer:
The 95% confidence interval for the mean score is:
∈ 
Step-by-step explanation:
We want to estimate the population mean, that is, the average score of all the subjects.
An estimator for the population mean μ is 
Since the sample size is
then we use the statistic
with
degrees of freedom
The confidence interval for the mean is:

Where
is the average score of the sample
is the standard deviation of the sample
is the sample size
for a confidence level of 95% and 26 degrees of freedom
Then confidence interval is


∈ 
Answer:

Step-by-step explanation:
In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).
The formula we will use for this problem is the following:

where:


a=0

so the volume becomes:

This can be simplified to:

and the integral can be rewritten like this:

which is a standard integral so we solve it to:
![V=9\pi[tan y]\limits^\frac{\pi}{3}_0](https://tex.z-dn.net/?f=V%3D9%5Cpi%5Btan%20y%5D%5Climits%5E%5Cfrac%7B%5Cpi%7D%7B3%7D_0)
so we get:
![V=9\pi[tan \frac{\pi}{3} - tan 0]](https://tex.z-dn.net/?f=V%3D9%5Cpi%5Btan%20%5Cfrac%7B%5Cpi%7D%7B3%7D%20-%20tan%200%5D)
which yields:
]