Answer: D) 8, 15, 17
<u>Step-by-step explanation:</u>
In order for three side lengths to represent a right triangle, they must satisfy the Pythagorean Theorem: a² + b² = c² where c is the largest side.
A) 2² + 3² = 4²
4 + 9 = 16
13 = 16 FALSE
B) 4² + 5² = 6²
16 + 25 = 36
41 = 36 FALSE
C) 6² + 9² = 12²
36 + 81 = 144
117 = 144 FALSE
D) 8² + 15² = 17²
64 + 225 = 289
289 = 289 TRUE!
5 5/6
Cause .25 + 5 is smaller than 5/6 + 5
So to find the answer to this, you have to consider that

- half because half the pocket money (x) was spend on clothes, then plus 9 because that's how much extra she gained and 13 because that was the result of all the changes.
To solve this, first subtract 9 from both side, which leaves you with

and

is the same as

, so to solve this, multiply both sides of the equation by two, resulting in

. SO from this we can conclude that the weekly allowance is $8
Mean is
and a standard deviation is
, then the variable
.
Use substitution
.
This substitution gives you that
.
a. For X=130,
and
(the decimal value is taken from the Standard Normal Distribution Table).
b. For X=90,
and for X=110,
. Then
(the decimal value is taken from the Standard Normal Distribution Table).
Answer:
18+17=35
Step-by-step explanation: