1407.43cm³ V=πr2h=π·82·7≈1407.43351cm³
Answer:
What are the dimensions of the garden?
Step-by-step explanation:
<span>A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a new prescription painkiller. She plans to use statistical methods to estimate the mean of the population of relief times. She believes that the population is normally distributed with a standard deviation of 18 minutes. How large a sample should she take to estimate the mean time to within 4 minutes with 97% confidence?
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n = [z*s/E]^2
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n = [2.17*18/4]^2 = 96 when rounded up
</span>
Multiply the speed of the train by how many hours it travels:
22.5 miles per hour x 2.5 hours = 56.25 mile.
The train is 60 miles from it's destination, so now you want to subtract the miles it will travel in 2.5 hours from the total distance:
60 miles - 56.25 miles = 3.75 miles away from its destination.
Answer: Rewrite equations:
3x=y;x−2y=10
Step: Solve3x=yfor y:
3x=y
3x+−y=y+−y(Add -y to both sides)
3x−y=0
3x−y+−3x=0+−3x(Add -3x to both sides)
−y=−3x
−y
−1
=
−3x
−1
(Divide both sides by -1)
y=3x
Step: Substitute3xforyinx−2y=10:
x−2y=10
x−23x=10
−5x=10(Simplify both sides of the equation)
−5x
−5
=
10
−5
(Divide both sides by -5)
x=−2
Step: Substitute−2forxiny=3x:
y=3x
y=(3)(−2)
y=−6(Simplify both sides of the equation)
Step-by-step explanation:
