Answer:
Step-by-step explanation:
Area of the shaded region = Area of triangle with base 40 km and height 27 km - Area of circle with radius (12/2) 6 km.

Answer:
Your name is the answer to the riddle.
Looks like a badly encoded/decoded symbol. It's supposed to be a minus sign, so you're asked to find the expectation of 2<em>X </em>² - <em>Y</em>.
If you don't know how <em>X</em> or <em>Y</em> are distributed, but you know E[<em>X</em> ²] and E[<em>Y</em>], then it's as simple as distributing the expectation over the sum:
E[2<em>X </em>² - <em>Y</em>] = 2 E[<em>X </em>²] - E[<em>Y</em>]
Or, if you're given the expectation and variance of <em>X</em>, you have
Var[<em>X</em>] = E[<em>X</em> ²] - E[<em>X</em>]²
→ E[2<em>X </em>² - <em>Y</em>] = 2 (Var[<em>X</em>] + E[<em>X</em>]²) - E[<em>Y</em>]
Otherwise, you may be given the density function, or joint density, in which case you can determine the expectations by computing an integral or sum.
Answer: 
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:

Where "m" is the slope of the line and "b" is the y-intercept.
You need to analize the information given in the exercise.
You know that gift card had a total of $20. Then, since she started to buy the songs with $20, you can identify that:

Since Renata purchased 16 songs and the gift card had a remaining balance of $0 after this, you can find the cost of each song. This is:

Therefore, she spent $1.25 per song. This means that the slope is:

Then, you get that the equation that represents the relationship between "y" (the remaining balance on Renata's gift card) and "x" (the number of songs purchased) is:

Answer:
The correct answer is y ≥ 8
Step-by-step explanation:
In order to graph this, we must first solve the equation for y.
193 + y ≥ 201
y ≥ 8
Now that we have the solved version, we can graph on a number line. Draw a closed circle on the point 8 and then draw an arrow to the right to show that it is greater.