Answer:
71.57% of student heights are lower than Darnell's height
Step-by-step explanation:
Problems of normally distributed samples are solved using 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:
Darnell has a height of 161.4 centimeters. What proportion of student heights are lower than Darnell's height?
This is the pvalue of Z when X = 161.4.
has a pvalue of 0.7157
71.57% of student heights are lower than Darnell's height
Answer:
Step-by-step explanation:
Here, the given expression is
or, the given expression can be written as
Now, by ALGEBRAIC IDENTITY: 
So, similarly here, 
Hence, on simplification, the expression
Now, by ALGEBRAIC IDENTITY: 
So, similarly 
Hence, the given expression is factorized as:
Answer:
Step-by-step explanation:
we know that If two angles are complementary, then their sum is equal to 90 degrees
Letx -----> the measure of an angle
y-----> the measure of he other angle
we know thatx+y=90 -----> y=90
-x -----> equation
Ax=y+54 ----> equation
Bsubstitute equation B in equation A and solve for yy=90-(y+54)
y=90-y-542y=36y=18°
Find the value of xx=y+54 -----> x=18+54=72°
thereforeThe measure of the angles are 72 degrees and 18 degrees
Answer:
RANGE: y greater than or equal to -5 (b)
The answer is 11
5 - (-6)
5 + 6
11
