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)
Answer:
x = 3/4
Step-by-step explanation:
It usually works well to collect terms first. (Add the coefficients of x.)
-4x +x = -9/4
(-4+1)x = -9/4
-3x = -9/4 . . . . . . equation with terms collected
Now, you can divide by the coefficient of x. Here, it can be useful to consider this to be the same as multiplying by the inverse of that coefficient, which inverse is -1/3.
(-1/3)(-3x) = (-1/3)(-9/4) . . . . . multiply both sides by -1/3
x = 3/4 . . . . . simplify
Answer:
About 67 men
Step-by-step explanation:
You multiply 112 by 3/5 or .6 to get 67.2 which rounds to 67 because there can not be .2 of a person.

The longest side measures :
<h3>

</h3>
Perimeter of a triangle is equal to sum of measures of its all three sides, that is :
and according to the question, the perimeter of the triangle is = 65 cm
so, let's equate both the expressions to find value of x :
The longest side of the Triangle is :