Answer:
m = 6
Step-by-step explanation:
Given
5m + 30 = 60 ( subtract 30 from both sides )
5m = 30 ( divide both sides by 5 )
m = 6
The side length is 5 units, and the area is 25 square units
<h3>What are areas?</h3>
The area of a shape is the amount of space it occupies
<h3>What is the area of a square</h3>
The area of a square is the product of its dimensions
From the graph, the coordinates of the square can be assumed to be:


The side length of the square is then calculated using the following distance formula

So, we have:



The area of the square is the calculated as:

This gives


Hence, the side length is 5 units, and the area is 25 square units
See attachment for the diagram of the shape
Read more about areas at:
brainly.com/question/24487155
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.
Not enough information is given