Solve 2|x + 2| – 3 ≥ 0
2 answers:
You might be interested in
Answer:
About twenty-one percent of twelve month old boys are shorter than 28.8 inches.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
About twenty-one percent of twelve month old boys are shorter than what height?
This is the value of X when Z has a pvalue of 0.21. So it is X when Z = -0.805.
About twenty-one percent of twelve month old boys are shorter than 28.8 inches.
Answer:
in
Step-by-step explanation:
Let x be the side of square.
Length of box=8-2x
Width of box=15-2x
Height of box=x
Volume of box=
Substitute the values then we get
Volume of box=V(x)=
Differentiate w.r.t x
Again differentiate w.r.t x
Substitute x=6
Substitute x=5/3
Hence, the volume is maximum at x=
Therefore, the side of the square , in cutout that gives the box the largest possible volume.