The measurement of the height of 600 students of a college is normally distributed with a mean of
175 centimeters and a standard deviation of 5 centimeters.
what percent of students are between 180 centimeters and 185 centimeters in height?
12.5
13.5
34
68

Second Option

Step-by-step explanation:

We know that the mean is:

and the standard deviation is:

We are looking at the percentage of students between 180 centimeters and 185 centimeters in height.

This is:

We calculate the Z-score using the formula:

For

For

Then we look at the normal table

Note: You can get the same conclusion using the empirical rule

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.