What is the volume of the cylinder if the height is 2x+7 and the radius is x-3
1 answer:
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Answer:
tan(-π/3) = -1.732050808
Step-by-step explanation:
Given in the question, we have to find the value of tan(-pi/3) or it can be written as:
where x is the exact value of the given tangent.
However, in this question, one may get confused and put the value of π = 3.14, which is wrong. The value given is in radians, which is used to measure angles, just like degrees.
To make it easier, lets convert the radians into degrees. We know that
π = 180°
-π/3 = -180/3 = -60°
Find x:
x = tan (-60°)
x = -1.732050808
Answer:
74.86% probability that a component is at least 12 centimeters long.
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:
Variance is 9.
The standard deviation is the square root of the variance.
So
Calculate the probability that a component is at least 12 centimeters long.
This is 1 subtracted by the pvalue of Z when X = 12. So
has a pvalue of 0.2514.
1-0.2514 = 0.7486
74.86% probability that a component is at least 12 centimeters long.