Answer:
27% of the possible Z values are greater than 0.613
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:

27% of the possible Z values are greater than
The 100 - 27 = 73rd percentile, which is X when Z has a pvalue of 0.73. So X when the z-score is 0.613.



27% of the possible Z values are greater than 0.613
Answer:
AC = 12
Step-by-step explanation:
From the question, we have that BD is perpendicular to AC
This means that it is at 90 degrees to the base
so we have two similar right triangles
Let us use Pythagoras’ theorem to get the measure of one of the legs (AD and DC)
Let us call the leg x
We have the Pythagoras’ theorem stating that the square of the hypotenuse (the side facing the right angle; 10 here) is equal to the sum of the squares of the two other sides
10^2 = x^2 + 8^2
100 = x^2 + 64
x^2 = 100-64
x^2 = 36
x = √36
x = 6
AD = DC = 6
AC = 2 * AD
AC = 2 * 6
AC = 12
Answer:
No it is a proper fraction
Step-by-step explanation:
1680 is the PERMUTATION answer.