To answer this problem, one way is to use the calculator and add directly the two numbers and get the average between the two. The answer is 25/77. We can also get this number by getting the LCM of the denominators which is 77. 2/7 is equal to 22/77 while 4/11 is equal to 28/77. 0.5*(22 +28) is equal to 25. Hence the answer is 25/77.
Let the integers be x - 1, x and x + 1, then
x - 1 + x + x + 1 = -42
3x = -42
x = -42/3 = -14
The three consectutive integers are -15, -14 and -13
Answer:
x = -3, y = 2
Step-by-step explanation:
x - y = -5
x = -5 + y
Let's put this into the other equation
(-5 + y) + y = -1
-5 + 2y = -1
2y = 4
y = 2
Now we can solve for x by plugging y into either equation
x + (2) = -1
x = -3
Answer:
Step-by-step explanation:
Given that you have eight cards. Five are green and three are yellow. The five green cards are numbered 1, 2, 3, 4, and 5. The three yellow cards are numbered 1, 2, and 3. The cards are well shuffled. You randomly draw one card.
G = card drawn is green
Y = card drawn is yellow
E = card drawn is even-numbered
List:
Sample space = {G1, G2, G3, G4, G5, Y1, Y2, Y3}
2) P(G) = 5/8
3) P(G/E) = P(GE)/P(E)
GE = {G2, G4}
Hence P(G/E) = 2/5
4) GE = {G2, G4}
P(GE) = 2/8 = 1/4
5) P(G or E) = P(G)+P(E)-P(GE)
= 5/8 + 3/8-2/8 = 3/5
6) No there is common element as G2 and G4
Cannot be mutually exclusive
Answer:
<em>3x + 2y = -2 </em>
Step-by-step explanation:
<em>Given Equation is</em> <em>−
2
x + 3
y = 12</em>
3
y =
2
x + 12
y
= (
2
/3
) y + 12
<em />
<em>Slope of this line is </em><em>m = 2/
3
</em>
<em>
Slope of Line A </em><em>
m
a = 2
</em>
<em>
Slope of Line B </em><em>m
b = 2/
3
</em>
<em>
Slope of Line C </em><em>m
c = −
(
2
/3
)
</em>
<em>
Slope of Line D</em> <em>m
d = − (
3
/2
)
</em>
since m
d = −
1
/m , <em>D</em> is perpendicular to the given line
