Rhian sat a maths test and an English test In the Maths test she scored 14 out of 17 In the English test she scored 31 out of 39
1 answer:
Answer:
Rhian did better in the Math test.
Step-by-step explanation:
Given: Rhian scored out of
in a Math test. In the English test she scored
out of
.
To find: In which test did she do better?
Solution:
We have,
Rhian scored out of
in a Math test.
Rhian scored out of
in an English test.
So, first we need to find the percentage of the marks scored.
Percentage in the Math test .
Percentage in the English test .
Clearly, the percentage in the Math test is greater than the percentage in the English test.
So, Rhian did better in the Math test.
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Answer:
Lower limit: 113.28
Upper limit: 126.72
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Middle 60%
So it goes from X when Z has a pvalue of 0.5 - 0.6/2 = 0.2 to X when Z has a pvalue of 0.5 + 0.6/2 = 0.8
Lower limit
X when Z has a pvalue of 0.20. So X when
Upper limit
X when Z has a pvalue of 0.80. So X when
(2,-4) is new reflected coordinates
