Earth volume: (3/4).π.(6371)³ = 1,0832x10¹² km³
Pluto volume: (3/4).π.(1171)³ = 6,555,189,765 km³
How many spheres the size of Pluto does it take to have the same volume as earth?
volume Earth/ volume Pluto = 1,0832x10¹² / 6,555,189,765 = 165.25
Answer:
Keenan's z-score was of 0.61.
Rachel's z-score was of 0.81.
Step-by-step explanation:
Z-score:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.
This means that 
So



Keenan's z-score was of 0.61.
Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points.
This means that
. So



Rachel's z-score was of 0.81.
The answer to this question is y=5
Given:
The function is:

The graphs of functions
and
.
To find:
The function
.
Solution:
We have,

The function
is vertically compresses to get the graph of the function
. So, the function
is:

...(i)
From the given graph it is clear that the graph of the function
passes through the point (3,3). So, putting
and
in the above function, we get




Putting
in (i), we get
Therefore, the correct option is D.