P(7) =
There are 8 possible outcomes from the spinner and only one 7, hence
P(7) =
Two number cubes are rolled and the results are added. What is the probability that the sum is equal to 2?
2 answers:
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Answer:
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Hope this helps~
Answer:
3 hours
Step-by-step explanation:
If both the cars are moving in the same direction,
Speed of orange sports car = 60 miles per hour
Since, this car has already moved for 1 hour,
Distance covered by the sports car = speed × time
= 60 × 1
= 60 miles
Speed of the green van = 30 miles per hour
Since, green van has already moved for the duration = 3 hours
Distance covered by the green van = speed × time
= 40 × 3
= 120 miles
Therefore, distance between sports car and green van = 120 - 60
= 60 miles
Relative speed of orange sports car with respect to green van = Speed of sports car - speed of green van
= 60 - 40
= 20 miles per hour
Time taken by the orange sports car to cover 60 miles (Distance between sports car and green van) =
=
= 3 hours
Therefore, orange sports car will take 3 hours to pass the green mini green van.
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (3, 3)
m = =
=
, thus
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 3), then
3 = 2 + c ⇒ c = 3 - 2 = 1
y = x + 1 ← equation of line
Multiply through by 3
3y = 2x + 3 ( subtract 3y from both sides )
0 = 2x - 3y + 3 ( subtract 3 from both sides )
- 3 = 2x - 3y, that is
2x - 3y = - 3 ← in standard form