Dog No dog Total
Cat 31 10 41
No cat 24 7 31
Total 55 17 144
Answer:

Step-by-step explanation:
Given
Paper = 20 slips
Word: PENNSYLVANIA
Required
Determine P(Multiple of 4 and V)
The sample size of the 20 slips is:

The outcomes of multiples of 4 is:


So, the probability of multiples of 4 is:


The sample size of PENNSYLVANIA is:

The outcome of V is:

So, the probability of V is:

So, the required probability is: P(Multiple of 4 and V)




Express as percentage


Let red marbles = X.
The probability is 1 out of 5, written as 1/5
1/5 in terms of red marbles is equal to the number of red marbles divided by 5x, where 5x is the total number of marbles.
1/5 = x/5x
Now you have 5x total marbles, x red and 4x blue.
Add 5 more red and the new probability is:
(x+5)/(5x+5) = 1/3
Simplify:
3x+15 = 5x+5
Now solve for x:
Subtract 3x from both sides:
15 = 2x +5
Subtract 5 from each side:
2x = 10
Divide both sides by 2:
x = 10/2
X = 5
There were originally 5 red marbles.
Answer:
2x + y + 5 = 0
Step-by-step explanation:
y − 1 = -2 (x + 3)
y − 1 = -2x − 6
2x + y + 5 = 0
Answer: 5
Step-by-step explanation: