In probability and statistics, there is an equation used for repeated trials. In this equation, you find the probability of getting 'r' successful events out of 'n' trials. Moreover, you should incorporate the probability of the success per trial. For a 6-sided face, each side has a probability of success of 1/6. On the other hand, the probability of each side not appearing is 5/6, because when you add these two, it would sum up to 1 as always.
Now, the equation for repeated trials is:
Total Probability = n!/r!(n-r)! * p^(n-r) * q^r
where
n = 5 tosses
r = 1 and 2 (since you want to see the probability of a side less than 3)
p = 1/6
q = 5/6
So, you add the individual probability when r=1, and when r=2.
Total Probability = 5!/1!(5-1)! * (1/6)^(5-1) * (5/6)^1 + 5!/2!(5-2)! * (1/6)^(5-2) * (5/6)^2
Total Probability = 50/243 or 20.58%
The order from least to greatest is 4 7/ 8, 4 9/ 10 , 5
<h3>What are fractions?</h3>
Fractions are simply representatives of part of a whole.
The types of fraction are;
- Mixed fractions
- Simple fractions
- Improper fractions
- Proper fractions
From the information given, we have to arrange in order from least to greatest
5, 4 7/8, 4 9/10
Turn mixed fractions to improper fractions;
5, 39/ 8 , 49/ 10
From least to greatest is written thus;
39/ 8, 49/ 10 , 5
Thus, the order from least to greatest is 4 7/ 8, 4 9/ 10 , 5
Learn more about fractions here:
brainly.com/question/11562149
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Considering the given graph, the number of solutions for the system of equations is given by:
b.) one
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In a graph, the number of solutions is given by the number of times the lines intersect. Hence, in this problem, the system has one solution, and option b is correct.
More can be learned about a system of equations at brainly.com/question/24342899
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So the base is 72 area squared. You multiply 72 by the height, which is 9, giving you 648 area cubed.
Hope this helped!
