Answer:
Expected net earning X for this case is
=$0.6923
Step-by-step explanation:
We need to calculate the probability of the case and multiply by the net earning. The Case is:
<u>the card is a Face card, and the coin lands on Heads</u><u>:</u>
<em>Net earning</em> = 9-3 =6
There are 12 Face Cards in a regular 52-card deck. Then,
<em>Probability of a Face Card</em>= 
<em>Probability that the coin lands on Tails</em> = 
Then <em>total probability of the case</em> is =
×
=
Expected net earning X for this case is =
× 6 = 
Answer:
The answer to your question is Midpoint = (0, 1)
Equation of the bisector y = 2x + 1
Step-by-step explanation:
Data
P (-4, 3)
Q (4, -1)
Process
1.- Find the midpoint
Xm = (-4 + 4)/2
Xm = 0/2
Xm = 0
Ym = (3 - 1)/2
Ym = 2/2
Ym = 1
Midpoint = (0, 1)
2.- Equation of the line
slope = (-1 - 3) / (4 + 4)
= -4/8
= -1/2
But the new line is perpendicular so the new slope is
m = 2
Equation of the new line
y - y1 = m(x - x1)
y - 1 = 2(x - 0)
y - 1 = 2x
y = 2x + 1
(m+6) + (4m+2)
Add 4m to m while adding 2 to 6
Final Answer: 5m+8
Answer:
<em>Answer:</em> 3) 
Step-by-step explanation:
<u>Radical Form and Exponent Form</u>
A radical can be expressed as a rational exponent following the identity:
![\displaystyle \sqrt[m]{x^n}=x^\frac{n}{m}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%5Bm%5D%7Bx%5En%7D%3Dx%5E%5Cfrac%7Bn%7D%7Bm%7D)
We should also recall that:

We are given the expression:

Applying the power of power:

Simplifying:

Converting to radical form:

Answer: 3) 
Answer:
C is the answer
C ) y = 
Step-by-step explanation:
2 y - x =
( -y + 1)
(2 y - x ) 4 = 3 ( -y +1)
8 y - 4 x = -3 y + 3
8 y + 3 y = 4 x + 3
11 y = 4 x + 3
∴ y = 