Answer:
Step-by-step explanation:
Answer:
The value of y is 6.
Step-by-step explanation:
The given equation is

It can be rewritten as


Multiply both sides by (y+4)(y-4).







Divide both sides by -2.

Therefore, the value of y is 6.
Answer:
136 GLASSES
Step-by-step explanation:
THERE ARE 40 CUPS IN 2.5 GALLONS
THERE ARE 36 CUPS IN 2.25 GALLONS
THERE ARE 60 CUPS IN 3.75 GALLONS
SO {40+60=100
100+36=136
Answer:


![Interval = [666.78, 781.62]](https://tex.z-dn.net/?f=Interval%20%3D%20%5B666.78%2C%20781.62%5D)
Step-by-step explanation:
Given
The data for 25 undergraduates
Solving (a): Range and Standard deviation
The range is:

From the dataset:


So:



The standard deviation is:

First, calculate the mean



So, the standard deviation is:




Solving (b): The interval of the 95% of the observation.
Using the emperical rule, we have:
![Interval = [\bar x - 2*\sigma, \bar x+ 2*\sigma]](https://tex.z-dn.net/?f=Interval%20%3D%20%5B%5Cbar%20x%20-%202%2A%5Csigma%2C%20%5Cbar%20x%2B%202%2A%5Csigma%5D)
![Interval = [724.2 - 2*28.71, 724.2 + 2*28.71]](https://tex.z-dn.net/?f=Interval%20%3D%20%5B724.2%20-%202%2A28.71%2C%20724.2%20%2B%202%2A28.71%5D)
![Interval = [666.78, 781.62]](https://tex.z-dn.net/?f=Interval%20%3D%20%5B666.78%2C%20781.62%5D)
Among all these no., see the first no. that lies before or left side of decimal point, here... 2 is common so next check the no. After decimal...
2.0, 2.2, 2.4, 2 is considered as 2.0 and then we have 2.0...
Let's not take 2.0s and let's take 2.2 and 2.4 which is greater than 2.0.
Next see the second no. That comes after decimal
We have 2.24 and 2.4 which can be taken as 2.40... The no.s after decimal,
24 is greater than 40 so 2.4 is greater...