The z score that has 70.54% of the distribution area is 9.92
<h3>What is a z-score?</h3>
The z-score is a numerical measurement used in statistics to refer to how much a given value differs from the standard deviation.
For the random variable x, the z-score is;
z = (x - 11)/2
therefore, 70.54% of the area under the curve lies to the right of x,
then the area to the left of x is;
100 - 70.54 = 29.46%
From the standard table, a z-score of -0.54 will yield an area of 29.46% to the left of x.
Therefore, we get;
(x - 11)/2 = -0.54
x - 11 = -0.54(2)
x = 9.92
The z score is 9.92
Learn more about z score here;
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Odd.................................
Answer:
It's -39/125
Step-by-step explanation:
Rewrite the decimal number as a fraction with 1 in the denominator
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000
Find the Greatest Common Factor (GCF) of 312 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 8
Therefore
X=39/125
In conclusion,
−0.312=−39/125