Find the values of x and y in these equations. (x + yi) + (4 + 6i) = 7 − 2i (equation A) (x + yi) − (-8 + 11i) = 5 + 9i (equatio
2 answers:
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Answer:
a. 720
b. 0.3
Step-by-step explanation:
a.
Three balls are selected at random without replacement.
First ball can be selected in 10 ways
Second ball can be selected in 9 ways
Third ball can be selected in 8 ways
Thus, there are 10×9×8 =720 different ways of selecting three balls.
b.
There are three cases that satisfy this condition
- first ball picked is 5, the others are not
- first ball is not 5, second is 5, third is not
- first and second ball is not five, third ball is 5
Each probabilities are:
Thus, one of the balls selected is the number 5 is then
The solutions to the equation -2x = 2^x are (1,2) and (2,4)
<h3>How to determine the solutions?</h3>The attached graph represents the missing part of the question
The equations are given as:
f(x) = -2x
g(x) = 2^x
The solution to -2x = 2^x is the points where the graphs of f(x) and g(x) intersect
From the attached graph, the points of intersection are:
(1,2) and (2,4)
Hence, the solutions to the equation -2x = 2^x are (1,2) and (2,4)
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