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:
(-1,7)
Step-by-step explanation:
-9x + 2y = 23
-4x - y = -3
multiplying equation 2 by 2
-9x + 2y = 23
-8x - 2y = -6
adding the two equation to cancel out y
-17x = 17
x = -1
plugging back x = -1 into the second equation
4 - y = -3
-y = -7
y = 7
The motorist can travel 25.92 miles on one gallon of gas
Basically, solve for n, then find aanother tha is solve for m
8n=-3m+1
divide both sides by 8
n=-3/8m+1/8
and find m
8n=-3m+1
minus 1 both sides
8n-1=-3m
divide both sides by -3
-8/3n+1/3=m
m=-8/3n+1/3
Answer: f(x)=−3x+4
Step-by-step explanation:
In a function
y
=
f
(
x
)
,
x
is the independent variable and
y
is the dependent variable.
So to represent the given equation as a function, it is just enough to solve it for y
