Answer:
14.63% probability that a student scores between 82 and 90
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 problem, we have that:
What is the probability that a student scores between 82 and 90?
This is the pvalue of Z when X = 90 subtracted by the pvalue of Z when X = 82. So
X = 90
has a pvalue of 0.9649
X = 82
has a pvalue of 0.8186
0.9649 - 0.8186 = 0.1463
14.63% probability that a student scores between 82 and 90
Answer:
I hope this helps you and you have an amazing day the answer
Width=12
Length=30
Step-by-step explanation:
L=2W+6
is
P=2L+2W
84=2(2W+6)+2W
84=4W+12+2W
84=6W+12
6W=84-12
6W=72
W=72/6
W=12 ans. for the width.
L=2*12+6=24+6=30 ans. for the length.
Proof:
84=2*30+2*12
84=60+24
84=84
Answer:
x=90° and y=35°
Step-by-step explanation:
to get x and y first you must find the middle angles based on the information you have so:
35+90+n=180° solve for n to get what the middle angles are (since they are vertical angles they are equal) so the middle angles are both 55 degrees
and then 180-x=that angle that is also on the line with x so we'll call it k
so k+55+y=180°
we can see that y equals 35* because I noticed that those are parallel lines on the outside of the triangle so 35* and y angles are congruent and y =35°
now 35+55+k=180°
solve for the angle next to x which we called k and it is 90°
so x=90° and y=35°
after all this math I realized that if they are parallel lines then we can just use that to figure it out so use the properties to find out that x=90° and y=35°
