Answer:
Top 3%: 4.934 cm
Bottom 3%: 4.746 cm
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:
Top 3%
Value of Z when Z has a pvalue of 1 - 0.03 = 0.97. So X when Z = 1.88.
Bottom 3%
Value of Z when Z has a pvalue of 0.03. So X when Z = -1.88.
Step-by-step explanation:
The hands of a clock point in opposite directions ( in the same straight line) 11 times in every 12 hours.
Answer:
The volume is 3825 cubic units
Step-by-step explanation:
To find the volume of the fish tank multiply out the dimensions.
We were given the dimensions as:
Change the numbers to improper fractions
We cancel out to get
Hey there,
The equation for the volume of a cylinder is V = πr²h.
The first step into finding the radius is to plug in what you already know into the equation:
We divide both sides by 5:
Now we divide both sides by π:
Finally we just do the square root of 49.0197224723:
The radius therefore would be about 7cm.
Hope I helped,
Amna
By addition of the ratio, 5/8 people are adults
144 * 5/8 = 90
