Using the normal distribution, it is found that 63.18% of the area under the curve of the standard normal distribution is between z = − 0.9 z = - 0.9.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean 
and standard deviation 
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The area within 0.9 standard deviations of the mean is the <u>p-value of Z = 0.9(0.8159) subtracted by the p-value of Z = -0.9(0.1841)</u>, hence:
0.8159 - 0.1841 = 0.6318 = 63.18%.
More can be learned about the normal distribution at brainly.com/question/4079902
#SPJ1
Not sure what y is but x is 40.6666
Answer:
f=4
Step-by-step explanation:
1) first we have to get the "f" by itself. to do this we subtract the 1 from the right side of the equation.
2) and what you do to one side you ALWAYS do to the other side!!! so subtract 1 from the 5 also
3) this leaves you with 4=f
hope this helps!
Check the picture below.
if you go from the slant height, the path is shorter to the top, since the hypotenuse is the longest of all sides in a right-triangle.
that said, is shorter but is also steeper, so the lateral edge is longer but less steep and thus a bit simpler though longer, but we're only asked on which is shorter.
Answer:
60
Step-by-step explanation:
We have been given the matrix;
![\left[\begin{array}{ccc}5&8\\-5&4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%268%5C%5C-5%264%5Cend%7Barray%7D%5Cright%5D)
For a 2-by-2 matrix, the determinant is calculated as;
( product of elements in the leading diagonal) - (product of elements in the other diagonal)
determinant = ( 5*4) - (8*-5)
= 20 - (-40) = 60
