Answer:
The Pythagorean Theorem is a statement about triangles containing a right angle. The Pythagorean Theorem states that: "The area of the square built upon the hypotenuse of a right triangle is equal to the sum of the areas of the squares upon the remaining sides."
Step-by-step explanation:
Answer:

Step-by-step explanation:
The equation of a circle is
where
is the center of the circle and
is the radius of the circle.
Given that
and it passes
, their distance between each other must the radius of the circle, so we can use the distance formula to find the radius:

Therefore, if the length of the radius is
units, then
, making the final equation of the circle 
Answer:
20:21
Step-by-step explanation:
Let's first start by converting each ratio so that the number of girls is the same
2:3
4:7
The least common multiple of 3 and 4 is 12 so...
8:12
12:21
We add 8 and 12 to get the number of junior members...
8+12=20
Then we put it in a ratio with the amount of adult members...
20:21
Answer: Firstly in this question, we need to solve for
α
which is the part of the distribution of which we not looking for.
we can do this with the sum:
α
=
1
−
0.76
=
0.24
as
0.76
=
76
%
we also know that our Standard Normal Distribution is symmetric, so we must divide that
α
to be split on either side of our distribution. so we solve for:
α
2
=
0.24
2
=
0.12
then we find a correlating
z
-score for the value
0.12
and we get that
−
z
=
−
1.175
and
z
=
1.175
This becomes easier to understand when visualized, so observe how we do this sum.
Step-by-step explanation:
Are there any parentheses in this equation? that would determine what you do first.
if it is (7+2)•4 your answer is 36.
if it is 7+2•4, then your answer would become 7+8, which is 15.