Answer:
The most appropriate statistical test to use to compare the mood scores from the different groups is independent sample t-test.
Step-by-step explanation:
The Independent Samples t-test examines the means of two independent groups to see if statistical evidence exists to show that the related population means differ significantly.
The Independent Samples t-test is also known as Independent t-test, Independent Two-sample t-test, and among others.
It should be note that only two (and only two) groups can be compared using the Independent Samples t-test. It is not possible to use it to make comparisons between more than two groups.
Therefore, the most appropriate statistical test to use to compare the mood scores from the different groups is independent sample t-test.
since triangles are similar
4/x = 7x/7
=》 4/x = x
=》x^2 = 4
=》 x = 2
for right triangles a^2 = b^2+c^2
DF^2 = 7^2+2^2 = 53
=》 DF = 7.28
perimeter of DEF = 7 +2+7.28 = 16.28
I am doing with Question Number 2
Let the two numbers be 'x' and 'y'.
According to the question, the product of two numbers is 14.

So, xy=14 (Equation 1)
Now, one of the numbers is 3 ½ times the other.
So, 
(Equation 2)
Substituting the value of 'x' from equation 2 in equation 1, we get



So, y= 2 and -2
So,
and 
x=7 and -7
Numbers are 2,7 and -2,-7.
Sum of numbers 2 and 7 = 9
Sum of numbers -2 and -7 = -9.
The tangent half angle formula, one of several, is

We have θ is opposite 4 in the 3/4/5 right triangle so



Answer: 1/2
This is actually pretty deep. It says half the big acute angle in the 3/4/5 triangle is the small diagonal angle of the 1x2 rectangle. Similarly, the small acute angle in 3/4/5 triangle is twice the small diagonal angle of the 1x3 rectangle.