The solution of the inequality will be x > 2 and x < -2. And the graph is drawn below.
<h3>What is inequality?</h3>Inequality is defined as an equation that does not contain an equal sign.
The inequality is given below.
3|x| > 6
By solving the equation, we have
|x| > 2
x > 2
x < -2
Then the graph will be drawn.
More about the inequality link is given below.
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Answer:
s = 6 feet
Step-by-step explanation:
Given that,
The volume of the cube, V = 216 feet³
We need to find the side length for the cubical box. We know that the volume of the cube is given by :
, s is the side length of the box.
So,
So, the side length for the cubical box is equal to 6 feet.
Answer:
The 90th percentile of the distribution is 6.512 ml.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 6 milliliters (ml) and a standard deviation of 0.4 ml.
This means that
Find the dye amount that represents the 90th percentile (i.e. 90%) of the distribution.
This is X when Z has a p-value of 0.9, so X when Z = 1.28. Then
The 90th percentile of the distribution is 6.512 ml.