Answer: 50,001²-49,999²=0,2.
Step-by-step explanation:

The dimension of the rectangle prism is : 3 1/2 mm , 9 mm and 8 1/2 mm
Express the mixed fraction into decimal :


So, the dimensions are : 3.5mm , 9mm & 8.5mm
Volume of the prism = Length x Breadth x Height
Susbtitute the value and simplify :
Volume of the prism = ( 3.5 x 9 x 8.5 ) mm
Volume of the prism = 267.75 mm
Solution :
It is given that :
Number of students in a random sample majoring in communication or psychology at an university = 250
Total number of students majoring in psychology = 100
Number of students majoring in psychology those who are happy = 80
So number of students majoring in psychology those who are not happy = 20
Total number of students majoring in communication = 250 - 100 = 150
Number of students majoring in communication those who are happy = 115
So number of students majoring in psychology those who are not happy = 35
a). Probability of the students happy with their major choices are

= 0.78
b). Psychology major 
= 0.4
c). Probability of the students who are happy with the communication as the choice of major =
= 0.46
d). Students unhappy with their choice of major given that the student is psychology major =
= 0.018
The probability of pulling a blue marble and the coin landing tails up is 360/2500
<h3>How to determine the probability?</h3>
The tables of values are given as:
Color Times
Blue 18
Green 20
Yellow 12
Heads Tails
20 30
The probability of obtaining a blue marble is:
P(Blue) = 18/50
The probability of landing tails up is:
P(Tail) = 20/50
The required probability is:
P = P(Blue) * P(Tail)
This gives
P = 18/50 * 20/50
Evaluate the product
P = 360/2500
Hence, the probability of pulling a blue marble and the coin landing tails up is 360/2500
Read more about probability at:
brainly.com/question/25870256
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Okay. Handle 500-100 first. That brings it to 3{5[10+5(400)+399]}. Next, Handle 5(400). That brings you to 3{5{10+2,000+399]}. Then handle all the addition. That leads to 3[5(2,409)]. Next, configure 5(2409). That leads to 3(12045). Then do that one which ends as 36,135 for a final answer.