What is the decimal expansion for 7 over 9
1 answer:
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Answer:
0.7486 = 74.86% probability of family expenses for the weekend being more than $580.
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 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.
The American Automobile Association reported that families planning to travel over the Labor Day weekend would spend an average of $735.
This means that
Assume that the amount spent is normally distributed with a standard deviation of $230.
This means that
What is the probability of family expenses for the weekend being: a. more than $580
This is 1 subtracted by the pvalue of Z when X = 580. So
has a pvalue of 0.2514
1 - 0.2514 = 0.7486
0.7486 = 74.86% probability of family expenses for the weekend being more than $580.
Answer:
(x,y,z)=(ucos(v), usin(v), )
where and
Step-by-step explanation:
Equation of a cone is
Equation of a paraboloid is
I have parametrised cone here. Please note that equation for cone in the question, is actually a paraboloid.
Imagine a sphere of radius 4, centered at origin and intersecting a cone also centered at origin and height along positive z-axis, given by the equations
where
Solving for these two equations, and substituting for z in the equation of sphere, we get a circle of radius units.
The equation of intersecting circle is:
Now, according to question, parametrizing this region of circle using parameters u and v.
Consider cylindrical co-ordinates: (r,θ,z)
In cylindrical co-ordinates
(x, y, z)= (r cos(θ), r sin(θ), z)
Eliminating z, and changing (r, θ)=(u,v)
For cone: x=ucos(v)
y= usin(v)
z=
or (x,y,z)=(ucos(v), usin(v), )
where and