Simplifying
6k + -9 = -15
Reorder the terms:
-9 + 6k = -15
Solving
-9 + 6k = -15
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 6k = -15 + 9
Combine like terms: -9 + 9 = 0
0 + 6k = -15 + 9
6k = -15 + 9
Combine like terms: -15 + 9 = -6
6k = -6
Divide each side by '6'.
k = -1
Answer:
13:7
Step-by-step explanation:
If you divide each number (6.5 and 3.5) by .5
6.5/.5=13
3.5/.5=7
Answer:
b) 0.42
Step-by-step explanation:
Let A be the event that card is a heart card and B be the event that card is a face card.
We have to find P(A or B). P(A∪B)=?
P(A∪B)=P(A)+P(B)-P(A∩B)
There are 13 heart cards and 12 cards are face cards. There would be 3 face card in hearts. So,
P(A)=13/52=1/4=0.25
P(B)=12/52=3/13=0.231
P(A∩B)=3/52=0.058
P(A∪B)=0.25+0.231-0.058
P(A∪B)=0.481-0.058
P(A∪B)=0.423
So, the probability that the card is a heart or is a face card is about is 0.42.
