The null hypothesis states that a population parameter is equal to a hypothesized value. the alternative hypothesis states that a population parameter is smaller, greater, or different than the hypothesized value in the null hypothesis
1.) 3x -4 <_ 2
Add 4 to both sides.
-4 + 4 = 0
2 + 4 = 6
3x <_ 6
Divide both sides by 3.
3x / 3 = x
6 / 3 = 2
x <_ 2 is your answer for the first inequality.
2.) 2x + 11 _> -1
Subtract 11 from both sides.
11 - 11 = 0
-1 -1 = -2
2x _> -12
Divide both sides by 2.
2x / 2 = x
-12 / 2 = -6
x _> -6 is your answer for the second inequality.
I hope this helps!
20: 30-4 x (2+5)=2
21. 17-(8-5)= 14
22. You put (10/2)-3+1, but it isn't necessary
Explanation: to solve these equations, use PEMDAS (parentheses, exponents, multiplication, division.) these equations don't involve exponents, though, so ignore that part. If 30 is left alone, you would multiply 4x2 before doing anything else. This would mean you would have 30-8+5' which gets you to 27, an incorrect answer. However, if you put parentheses around (2+5), you add those first, meaning you would then have 30-4(2+5) = 30-4(7) = 30-28= 2.
Try to do the rest; if you're still having trouble add a comment
The probability that 5 would not be working is 0.18665, the probability that at least one machine would be working is 0.00602 and the probability that all would be working is 1.
Given a company has 200 machines. Each machine has a 12% probability of not working.
If we working pick 40 machines randomly then we have to find the probability that 5 would not be working, the probability that at least one machine would be working, and the probability that all would be working.
So
1) probability that 5 would not be working
C(40,5)·0.12⁵·0.88³⁵= 40!/(5!(40-5)!)·0.12⁵·0.88³⁵
≈ 0.18665
2) probability that at least one machine would be working
0.88⁴⁰ ≈ 0.00602
3) probability that all would be working
1 - 0.12⁴⁰ ≈ 1.0000
Learn more about probability here: brainly.com/question/24756209
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