Answer:
A. 1/2.
B. 15/26.
Step-by-step explanation:
Note when you have an 'OR' in the statement we <u>add </u>the probabilities.
A . Club or a diamond . There are 13 clubs and 13 diamonds so
The Required Probability = 13/52 + 13/52
= 1/4 + 1/4 = 1/2.
B. There are 4 jacks and 26 black cards.
The Required Probability = 4/52 + 26/52
= 1/13 + 1/2
= 2/26 + 13/26
= 15/26.
Answer:
Option C is correct.
System of equation which will produce infinitely many solutions:
3x - y = 14
-9x +3y = -42
Step-by-step explanation:
From the options
Only equation which is infinitely many solutions is
3x - y = 14 ......[1]
-9x +3y = -42 ......[2]
For infinitely many solutions, we are looking for linearly dependent equations, which means one equation is an exact multiple or sub-multiple of the other.
Multiply [1] by -3 we get

or
-9x + 3y = -42 which is same equation as [2]
therefore. by definition of infinitely many solution,
equation 2 is -3 times(or multiple) of equation 1
Answer:
Midpoint of the circle is (-3, -7)
Distance from (3, 4) to (-3, -7) is > 5 because the x and y difference are alone greater 5.
So, "In the exterior of the circle" is correct.
3 ways
1 - 6 packs of 6 cookies (6*6 = 36)
2 - 2 packs of 18 cookies (2*18 = 36)
3 - 3 packs of 6 cookies and 1 pack of 18 cookies (3*6 = 18 + 18 = 36)
3x-6+1=-2x-5+5x
3x+2x-5x=6-1-5
10x=0
x=0