What is the solution of the inequality -4.0x-1.2>0.8
2 answers:
Answer:
solution of the inequality will be x < (-5)
Step-by-step explanation:
-0.4x - 1.2 > 0.8 is the given inequality.
Now we have to determine the solution of it.
first we divide this inequality by 4
>
-x - 3 > 2
- x - 3 + 3 > 2 + 3 [By adding 3 on both the sides of the inequality]
-x > 5
Now we reverse the inequality to change the sign of x
-(-x) < -(5)
x < (-5)
Therefore, solution of the inequality will be x < (-5)
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Answer:
the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166
Step-by-step explanation:
The summary of the given statistical data set are:
Sample Mean = 186
Standard deviation = 29
Maximum capacity 3,417 pounds or 17 persons.
sample size = 17
population mean =3417
The objective is to determine the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds
In order to do that;
Let assume X to be the random variable that follows the normal distribution;
where;
Mean = 186 × 17 = 3162
Standard deviation =
Standard deviation = 119.57
Therefore; the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166