Solving a

Mathematics

1 answer:

Alona [7]2 years ago

6 0

The expression w = A/l can be used to find the width of the rectangle if the area and length of the rectangle are given.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let's suppose the width of the rectangle is w and the length of the rectangle is l

Then, the area of rectangle(A) can be given as:

A = lw

divide by l on both the sides:

A/l = lw/l

A/l = w

w = A/l

Thus, the expression w = A/l can be used to find the width of the rectangle if the area and length of the rectangle are given.

Learn more about the rectangle here:

brainly.com/question/15019502

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Scores on a test are normally distributed with a mean of 70 and a standard deviation of 11.5. find p81, which separates the bott

choli [55]

Answer: The score p81 that separates the bottom 81% from the top 19% is 80.12

Step by step:

First, calculate the "z" value. Z is a normally distributed random variable with 0 mean and standard deviation 1. The score value corresponding to the desired percentile p81 can be determined from a z value as follows:

$z=\frac{s-\mu}{\sigma}\\z_{p81}=\frac{p_{81}-70}{11.5}\\\implies p_{81}=z_{p81}\cdot 11.5+70$

We use a z-table (check online) to find the z value for the 81-st percentile. I found $z_{p81}=0.88$ and so we use that value to calculate the score for the percentile: