The answer would simplify to 1/6.
Since the triangle is equilateral, QR = RS = QS.
a. MS = (1/2)74
MS = 37
b. Half of the equilateral triangle makes a right triangle. Use Pythagorean Theorem to find QM.
a^2 + b^2 = c^2
37^2 + b^2 = 74^2
1369 + b^2 = 5476
subtract 1369 from both sides
b^2 = 4107
take the square root if both sides
b = 64.1
QM = 64.1
Answer:
The answer is <em>1</em>.
Step-by-step explanation:
Given the expression:

To find:
The expression without absolute value.
Solution:
First of all, let us learn about the absolute value function:

i.e. value is x if x is positive
value is -x if x is negative
Here the given expression contains two absolute value functions:
and 
Using the definition of absolute value function as per above definition.


Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6
So, given expression
will be equivalent to :

So, the expression is equivalent to <em>1</em>.
Answer:
Step-by-step explanation:
<u>Given:</u>
<u>Find z-score:</u>
- z = (x - μ)/σ
- z = (104 - 80)/12 = 2
Percent value corresponding to 2 as per z-table is 0.9772. This is corresponding to 97.72%.
<u>Percentage of students earned more than $104:</u>