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oksian1 [2.3K]
2 years ago
14

The radius of the planet Uranus is approximately 4 times the size of the radius of Earth. What does this tell you about the volu

mes of these planets?​
Mathematics
2 answers:
Sonja [21]2 years ago
5 0

Answer:

Step-by-step explanation:

Earth volume is approximately V = (4/3)πr³, and

Uranus volume is approximately V = (4/3)π(4r)³, or (4/3)π*64*r³

Comparing these two results, we see that the volume of Uranus is approximately 64 times greater than the volyume of Earth.

AveGali [126]2 years ago
5 0

This tells you that Uranus is 15,792 which is making it 4 times Earth's radius.

Earth's radius is 3948 which tells you that is 1/4 the volume of Uranus.

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2 years ago
A random sample of 28 statistics tutorials was selected from the past 5 years and the percentage of students absent from each on
SVEN [57.7K]

Answer:

Step-by-step explanation:

Hello!

X: number of absences per tutorial per student over the past 5 years(percentage)

X≈N(μ;σ²)

You have to construct a 90% to estimate the population mean of the percentage of absences per tutorial of the students over the past 5 years.

The formula for the CI is:

X[bar] ± Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }

⇒ The population standard deviation is unknown and since the distribution is approximate, I'll use the estimation of the standard deviation in place of the population parameter.

Number of Absences 13.9 16.4 12.3 13.2 8.4 4.4 10.3 8.8 4.8 10.9 15.9 9.7 4.5 11.5 5.7 10.8 9.7 8.2 10.3 12.2 10.6 16.2 15.2 1.7 11.7 11.9 10.0 12.4

X[bar]= 10.41

S= 3.71

Z_{1-\alpha /2}= Z_{0.95}= 1.645

[10.41±1.645*(\frac{3.71}{\sqrt{28} } )]

[9.26; 11.56]

Using a confidence level of 90% you'd expect that the interval [9.26; 11.56]% contains the value of the population mean of the percentage of absences per tutorial of the students over the past 5 years.

I hope this helps!

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