Answer: 125 or some thing
Step-by-step explanation:
Answer:
The percentle for Abby's score was the 89.62nd percentile.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation(which is the square root of the variance)
, 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.
Abby's mom score:
93rd percentile in the math SAT exam. In 1982 the mean score was 503 and the variance of the scores was 9604.
93rd percentile. X when Z has a pvalue of 0.93. So X when Z = 1.476.

So




Abby's score
She scored 648.

So



has a pvalue of 0.8962.
The percentle for Abby's score was the 89.62nd percentile.
X,=-(5±✓25-36) ,/ 2
x={-5±✓-11)/2
x= -5/2 ± i✓11/2
Answer:
Side length = 5.8 in
Perimeter = 29
Area = 58 in²
Step-by-step explanation:
✔️Find Side length using trigonometric ratio:
Angle at center of a pentagon is always 36° (we have measure of a full circle, 360, divided by 10 smaller triangles = 36°)
So:
Reference angle = 36°
Adjacent side = 4 in.
Opp = ½ of the side length of the polygon = x (let's represent this as x)
Thus, apply TOA:
Tan 36 = Opp/Adj
Tan 36 = x/4
4*Tan 36 = x
x ≈ 2.9 in (nearest tenth)
Side length = 2*x = 2*2.9 = 5.8 in
✔️Perimeter = 5*side length
Perimeter = 5*5.8 = 29 in
✔️Area = ½aP
Where,
a = 4 in
P = 29
Plug in the values
A = ½*4*29
A = 58 in²
AAS because there’s a vertical angle