That easiliy false. You can prove this by observing that all integers are, in particular, rational numbers. So, for instance, you can think of 4 as
, so 
And obviously, you have 
It is true that the square of every rational number between 0 and 1 is smaller than the number itself.
But since not all rational numbers are between 0 and 1, the general claim is false.
Answer:

Step-by-step explanation:
PL^2 =7^2 +3^2
PL^2=49+9
PL=

The standard deviation of the given data is 3.5
<h3 /><h3>How to calculate the standard deviation of data?</h3>
Standard deviation is used to determine the rate of dispersion of data with respect to the mean.
The formula for calculating the standard deviation of data is given as:

Given the data below:
10.4, 10.3, 11.7, 11.1, 8, 4.4, 2.6, 1.8, 2.5, 4.4, 7.3, 9.5
Using the stdevp calculator the standard deviation is calculated as:
σ = √12.405
σ = 3.5
Hence the standard deviation of the given data is 3.5
Learn more on standard deviation here: brainly.com/question/12402189
Answer:
cos(150)=−√32 sin(150)=12. Explanation: First of all, observe that 150=180−30 . Then, remember that we have. cos(180−x)=−cos(x)
Step-by-step explanation:
Perimeter is the length of the border. The best way to find it here is to split the figure up into a semicircle and a trapezoid.
The radius of the semicircle is 9 in. so its perimeter is 2pir/2 = 9pi in.
The perimeter of the trapezoid can be found by adding the lengths of all sides. The bottom side is 2 times the radius of the semicircle, 18 inches. Add this to the other lengths: 5 in, 12 in, 5 in.
The total perimeter is then 40 + 9pi.