Hello!

2x + 1 = 5x - 8
Solve by subtracting both sides by 2x:
2x - 2x + 1 = 5x - 2x - 8
1 = 3x - 8
Add 8 to both sides:
1 + 8 = 3x - 8 + 8
9 = 3x
Divide both sides by 3:
9/3 = 3x/3
x = 3
Answer:
a) P(X=41)= 0.0086 = 0.86%
b) P(36≤X≤38)== 0.1215 = 12.15%
c) would be unusual that fewer that 20 murders were cleared because P(X≤20) = 0.000081 =0.0081%
Step-by-step explanation:
if the random variable X= number of cleared murders , then X follows a binomial distribution:
P(X=x)= n!/[(n-x)!*x!]*p^x*(1-p)^(n-x)
where P(X=x)= probability of x cleared murders, n= number of murders selected=50 , p= probability for a murder to be cleared (67%)
therefore
a) P(X=41)=50!/[(50-41)!*41!]*0.67^41*0.33^(50-41)= 0.0086
b) P(36≤X≤38)= P(X≤38) - P(X≤36) = 0.9371- 0.8156 = 0.1215
c) P(X≤20) = 0.000081
therefore would be unusual that fewer that 20 murders were cleared
The solution of the inequality is x ≥ -3 and the graph is shown below
<h3>Graph of inequalities </h3>
From the question, we are to determine the graph that represents the given inequality
The given inequality is
−3x + 1 ≤ 10
First, we will solve the inequality
−3x + 1 ≤ 10
Subtract 1 from both sides
−3x +1 -1 ≤ 10 - 1
−3x ≤ 9
Divide both sides by -3 and<u> flip the sign</u>
x ≥ -3
The graph of the inequality is shown below
Learn more on Graphing inequalities here: brainly.com/question/13053003
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Answer:
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