The answer is -6. Hope this helps
K=2 is the correct answer
Answer:4/3
Step-by-step explanation:
2/6=x/4 cross multiply
6x=8 x=8/6 =4/3 Divide and simplify
Answer:
Samantha's grade was 1.29 standard deviations above the class mean, that is, she scored better than 0.9015 = 90.15% of the class.
Step-by-step explanation:
Z-score:
In a set with mean
and standard deviation
, the z-score of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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 p-value, we get the probability that the value of the measure is greater than X.
In this question:
She scored better a proportion of the class given by the p-value of z = 1.29
z = 1.29 has a p-value of 0.9015.
Samantha's grade was 1.29 standard deviations above the class mean, that is, she scored better than 0.9015 = 90.15% of the class.
Answer:
150
Step-by-step explanation:
First a diagram which looks like a 12 sided figure where all the sides are equal.
Now draw 2 consecutive radii.
There are 12 such triangles in a 12 sided polygon.
These triangles have an apex angle of 360 / 12 = 30 degrees.
The other two angles making up the triangle are both equal. Therefore x + x + 30 = 180
2x = 150
x = 75
But 75 is 1/2 of the interior angle. There are 2 such angles making up the interior angle 75 + 75 = 150