Answer:If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is 1/6.
If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is 3/6 = 1/2
Step-by-step explanation:For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".
Answer:
Ionic bonding is called when you lose or gain electrons.
I’ll do an example problem, and I challenge you to do this on your own!
4x+6y=23
7y-8x=5
Solving for y in 4x+6y=23, we can separate the y by subtracting both sides by 4x (addition property of equality), resulting in 6y=23-4x. To make the y separate from everything else, we divide by 6, resulting in (23-4x)/6=y. To solve for x, we can do something similar - subtract 6y from both sides to get 23-6y=4x. Next, divide both sides by 4 to get (23-6y)/4=x.
Since we know that (23-4x)/6=y, we can plug that into 7y-8x=5, resulting in
7*(23-4x)/6-8x=5
= (161-28x)/6-8x
Multiplying both sides by 6, we get 161-28x-48x=30
= 161-76x
Subtracting 161 from both sides, we get -131=-76x. Next, we can divide both sides by -76 to separate the x and get x=131/76. Plugging that into 4x+6y=23, we get 4(131/76)+6y=23. Subtracting 4(131/76) from both sides, we get
6y=23-524/76. Lastly, we can divide both sides by 6 to get y=(23-524/76)/6
Good luck, and feel free to ask any questions!
Answer:
they are both alike because you're dividing both equations by 2 . in both equations you're trying to get the variable by itself .
they are both different because both of the equations have a different x= . in equation 1 you subtract and in equation 2 you would add .
Step-by-step explanation:
For 2x+4=20 you would make +4 negative 4 to get the variable by itself .
then you'd subtract the numbers 20-4=16
then divide both sides by 2 2÷2 and 16÷2
x=8 is your answer
for 2x-4=20 you would make -4 and make it positive 4 to get the variable by itself
then you'd add the numbers 20+4
then divide both sides by 2 2÷2 and 24÷2
x=12
Answer:
y = x + 3
Step-by-step explanation:
Given: (6,9) (14, 17)
slope, m = 1
Equation of line ⇒ y=mx+b
y = 9 , x = 6 , m = 1, b = ?
9 = 1*6 + b
9 = 6 + b
b = 9 - 6 = 3
Therefore, the equation of line will be:
y = 1x + 3
y = x + 3
