Answer:
Due to the higher z-score, Jane did better in class.
Step-by-step explanation:
Z-score:
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 question:
Whoever's grade had the better z-score did better in class.
Mary's:
Mean of 85, standard deviation of 5, grade of 88. This means that 
. So
Jane's
Mean of 80, standard deviation of 10, grade of 88. This means that 
. So
Due to the higher z-score, Jane did better in class.
Answer:
It is 4/11
Step-by-step explanation:
Let x = 0.363636363636
Now as there are two digits repeating immediately after decimal point, we multiply above by 100 and get
100x = 36.363636363636
Now subtracting first equation from second we get
99x = 36
and hence
x = 36/ 99
= (9 × 4) / (9 × 11)
which then equals
= 4/11
Answer:
<em>y = 4x - 57 </em>
Step-by-step explanation:
( 
, 
)
( 
, 
)
m = 
y - = m ( x - )
~~~~~~~~~~~~~~~
( 15 , 3 )
( 19 , 19 )
m = 
= 4
y - 3 = 4 ( x - 15 )
<em>y = 4x - 57</em>
Answer: n = 4
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9514 1404 393
Answer:
3929 square feet
Step-by-step explanation:
The radius of the fence circle is half its diameter, so is 51.4 feet. The area of a circle is given by the formula ...
A = πr^2
The difference in areas of the two regions is found by subtracting the smaller area from the larger one. So, the difference in area between the fenced area of radius 51.4 feet and the playground area of radius 37.3 feet is ...
∆A = π(51.4^2 -37.3^2) = 1250.67π ≈ 3929 . . . square feet
