Multply both equations by 2 leaving
x + 2y = 8
x - 2y = -2
Add the equations giving
2x = 6
x = 3
Substitute 3 in the top equation
3 + 2y = 8
2y = -5
y = -2.5
To solve this problem, let us recall that the formula for
probability is:
Probability = total number of successful events / total
events
Where in this case, an event is considered to be successful
if the sum is 3 on the pair of six sided dice.
First, let us calculate for the total number of events. There
are 6 numbers per dice, therefore the total number of combinations is:
total events = 6 * 6 = 36
Next, we calculate for the total number of combinations
that result in a sum of 3. We can identify that there are only two cases that
result in sum of 3. That is:
1st case: first dice rolls 1, second dice
rolls 2
2nd case: first dice rolls 2, second dice
rolls 1
Hence, total number of successful events = 2. Therefore the
probability is:
Probability = 2 / 36 = 1 / 18 = 0.0556 = 5.56%
Answer:
Standard form:
Center:
Radius:
Step-by-step explanation:
The equation of a circle in the standard form is
Where the point (h, k) is the center of the circle
To transform this equation this equation in the standard form we use the method of square.
First, we group similar variables
Divide both sides of equality by 4
Now we complete square for variable x.
Take the coefficient "b" that accompanies the variable x and divide by 2. Then, elevate the result to the square:
Now add on both sides of the equality
Factor the expression and simplify the independent terms
Then
and the center is
radius
Answer:
6.5%; $22.10
step 1. subtract
$3.90-$60.00
step 2.
divide
$3.90÷ by the answer you get in step 1
step 3.
Convert answer into percentage by multiplying by 100
Answer 3/13
Step-by-step explanation:
There are 12 face cards, and 6 are black. Thus, the probability of choosing one would be 6/26, or 3/13