Answer:
He needs to score below 68.88 in order to advance to the next round
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 problem, we have that:
He needs to score below what value in order to advance to the next round?
Below the 20th percentile, so below the value of X when Z has a pvalue of 0.20. So it is X when
He needs to score below 68.88 in order to advance to the next round
Answer:
a. 10
Step-by-step explanation:
x is the radius and any line drawn from centre of the circle to the ends of circle is radius.
using pythagoras theorem:
base^2+height^2= Hypotenuse^2 (over here hypotenuse is radius)
6^2+8^2=x^2
36+64=x^2
100=x^2
x= root of(100)
x=10
Answer:
The Triangle Is A Right Triangle Because 5^2 + 12^2 = 13^2.
Step-by-step explanation:
5^2 = 25. 12^2 = 144. With the Pythagorean theorem, (a^2 + b^2 = c^2), 5 is a, 12 is b, and 13 is c.
25 + 144 = 169.
13 ^ 2 = 169.
Since a^2 + b^2 = c^2 is true, the triangle is a right triangle.