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given: x=60 and s=6 find the z-score that corresponds to each of the following scores up to two decimal places



a. x=70



b. x=58




Write an equation to describe the variation. Use k for the constant of proportionality.

g  varies inversely as p 



Write an equation to describe the variation. Use k for the constant of proportionality.

r  varies directly as f


The intensity of light​ (in foot-candles) varies inversely as the square of​ x, the distance in feet from the light source. The intensity of light 2 feet from the source is 80 ​foot-candles. How far away is the source if the intensity of light is 5 ​foot-candles?


For the​ statement, find the constant of variation and the variation equation.

y varies jointly as x and the cube of z; y=16 when x=4 and z=1


Write the statement as an equation. Use k as the constant of variation.

r varies jointly as s and the cube of n




Write the statement as an equation. Use k as the constant of variation.

w varies jointly as c and f


If the voltage V in an electric circuit is held​ constant, the current I is inversely proportional to the resistance R. If the current is 50 amperes when the resistance is 240 ohms, find the current when the resistance is 150




Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a fixed​ distance, the speed R varies inversely with the time T. In one particular pair of​ markings, ris 71 mph when t is 2 seconds. Find the speed of a car that travels the given distance in 3 seconds.


For a population 0,4,8,12, construct the sampling distribution of mean for samples of size 2 taken with replacement and the find its mean and standard error


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