Step-by-step explanation:
The die is rigged, so "not 3" is not a possibility. Ruling out those branches of the tree, there are 4 possible outcomes, one of which is the desired outcome. So the probability is 1/4.
A fair die has six sides that are equally likely, so the probability of rolling more than 2 is always 4/6. The outcome of the first roll does not effect the outcome of the second roll.
She would place it before the 4.
We have 5 Republican Candidates and 6 Democratic Candidates
We have a total 11 candidates to choose from
First pick of Democratic Candidates = 6/11
Second pick of Democratic Candidates = 5/10
Third pick of Democratic Candidates = 4/9
Fourth pick of Democratic Candidates = 3/8
The probability of four Democratic candidates in the committee is
×
×
×
=
The points of intersection for the two functions and round to the nearest tenth are (0.5, 1.4) and (4.85, -0.3)
<h3>System of equations</h3>
Given the following function
f(x) = - 0.5x + 2
g(x) = x^3 - 5x^2 + 3
The point of intersection is the point where f(x) = g(x)
x^3 - 5x^2 + 3 = - 0.5x + 2
x^3 - 5x^2 + 3 + 0.5x - 2 = 0
x^3 - 5x^2 + 0.5x + 1 = 0
Factorize and determine the value of x
x = 0.53 and 4.85
If x = 0.53
f(0.53) = -0.5(0.53) + 2
f(0.53) = -0.265 + 2
f(0.53) = 1.375
If x = 4.85
f(4.85) = -0.5(4.85) + 2
f(4.85) = -2.425 + 2
f(4.85) = -0.245
Hence the points of intersection for the two functions and round to the nearest tenth are (0.5, 1.4) and (4.85, -0.3)
Learn more on functions here: brainly.com/question/10439235
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Answer:
x = 19/2 or 9.5
Step-by-step explanation:
Hello!
We can distribute the parenthesis and solve.
<h3>Solve</h3>
- 2(4x - 3) = 5(2x - 5)
- 2(4x) - 2(3) = 5(2x) - 5(5)
- 8x - 6 = 10x - 25
Move all x terms to one side and integer terms to the other
- 8x - 6 = 10x - 25
- -6 + 25 = 10x - 8x
- 19 = 2x
- x = 19/2
- x = 9.5
