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Answer:
In Geography test student score better relative to the other students in each class.
Step-by-step explanation:
We are given that a student scores 56 on a geography test and 285 on a mathematics test. The geography test has a mean of 80 and a standard deviation of 20. The mathematics test has a mean of 300 and a standard deviation of 10.
Let X = Student scores in geography test
Y = Student scores in mathematics test
Here, Mean score of geography test, = 80
Standard deviation of geography test, = 20
Also, Mean score of mathematics test, = 300
Standard deviation of mathematics test, = 10
For comparing on which test did the student score better relative to the other students in each class we will find the z score of both the test as data for both tests are normally distributed;
Z = ~ N(0,1)
- Z score for geography test,
;
=
=
= -1.2
- Z score for mathematics test,
;
=
=
= -1.5
From both the z scores it is clear that z score of geography test is higher than that of mathematics test.
Therefore, the student score better relative to the other students in each class in geography test .
Answer: The answer is 1.772 r.
Step-by-step explanation: Given that a cone and a pyramid have the same height and same volume. The radius of the base of the cone is 'r' units.
We are to find the side length of the square base of the pyramid.
Let, 'h', be the height of both cone and pyramid and 'l' be the side length of the square base of the pyramid.
Then, the volumes of both cone and pyramid are respectively
Since the volume of cone is equal to the volume of pyramid, so we have
Thus, the side length of the square base of the pyramid is 1.772 r.