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Dmitrij [34]
3 years ago
7

The scores on a test given to all juniors in a school district are normally distributed with a mean of 75 and a standard deviati

on of 7.
Find the percent of juniors whose score is no more than 89.

The percent of juniors whose score is 89 or below is ___%
Mathematics
1 answer:
marta [7]3 years ago
3 0
\mathbb P(X\le89)=\mathbb P\left(\dfrac{X-75}7\le\dfrac{89-75}7\right)=\mathbb P(Z\le2)\approx0.9773=97.73\%
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A tree with a height of 4 ft casts a shadow 15ft long on the ground how tall is another tree that cast a shadow which is 20ft lo
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Height of another tree that cast a shadow which is 20ft long is 5 feet approximately

<h3><u>Solution:</u></h3>

Given that tree with a height of 4 ft casts a shadow 15ft long on the ground

Another tree that cast a shadow which is 20ft long

<em><u>To find: height of another tree</u></em>

We can solve this by setting up a ratio comparing the height of the tree to the height of the another tree and shadow of the tree to the shadow of the another tree

\frac{\text {height of tree}}{\text {length of shadow}}

Let us assume,

Height of tree = H_t = 4 feet

Length of shadow of tree = L_t = 15 feet

Height of another tree = H_a

Length of shadow of another tree = L_a = 20 feet

Set up a proportion comparing the height of each object to the length of the shadow,

\frac{\text {height of tree}}{\text {length of shadow of tree}}=\frac{\text { height of another tree }}{\text { length of shadow of another tree }}

\frac{H_{t}}{L_{t}}=\frac{H_{a}}{L_{a}}

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