Answer: 0.6065
Step-by-step explanation:
Given : The machine's output is normally distributed with
Let x be the random variable that represents the output of machine .
z-score :
For x= 21 ounces
For x= 28 ounces
Using the standard normal distribution table , we have
The p-value :
Hence, the probability of filling a cup between 21 and 28 ounces= 0.6065
Answer:
Area: 6a^2
Perimeter: 12a^2
Step-by-step explanation:
To find the area of a triangle, use the formula A=1/2 b*h. The base is 3a^2 and the height is 4a^2.
A= 1/2 (3a^2)(4a^2)
A = 1/2 (12a^4)
A = 6a^4
To find the perimeter of the triangle, add each of the sides of the triangle. The third side, the hypotenuse, can be found using Pythagorean theorem.
Now add each of the sides: 3a^2 + 4a^2 +5a^2 = 12a^2