Answer:
The expected dollar value for a person playing this game is -$1, that is, a loss of $1.
Step-by-step explanation:
Expected dollar value:
Probability of each outcome multiplied by it's monetary outcome.
Outcomes:
45% probability of winning $100.
45% probability of losing $100.
10% probability of losing $10.
What is the expected dollar value for a person playing this game?
The expected dollar value for a person playing this game is -$1, that is, a loss of $1.
It is obvious that Triangle BCD is congruent to Triangle EFG. EFG is twice the size of BCD.
Put the lengths into the pythagorean theorem equation. (the longest side is the hypotenuse)
So for Triangle BCD
3^2+b^2=5^2
(3×3)+b^2=(5×5)
9+b^2=25
So what plus 9 equals 25?
16
the square root of 16 is 4 so 4^2=16
9+16=25
Now since we know that Triangle EFG is twice the size of BCD remake the equation but the numbers will be:
6^2+8^2=10^2
Now check
(6×6)+(8×8)=(10×10)
36+64=100
100=100
So for Triangle EFG X=8
Answer:
3x^2+5x+1
Step-by-step explanation:
(x^2 + 3x + 1) + (2x^2 + 2x)
Combine like terms
x^2 + 2x^2 + 3x +2x +1
3x^2+5x+1
Answer:
Step-by-step explanation:
<h3>Hope it is helpful.....</h3>
Answer:
y = x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x - 3 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
= - = - = , thus
y = x + c ← is the partial equation
To find c substitute (2, - 3) into the partial equation
- 3 = 1 + c ⇒ c = - 3 - 1 = - 4
y = x - 4 ← equation of perpendicular line