So 12 = 2 + 20t -5t^2
5t^2 -20t + 10=0
t^2 -4t + 2 = 0
Use quadratic formula to solve
Answer:
90%
Step-by-step explanation:
Probability of households with one TV = 35% or 0.35
Probability of households with two sets = 39% or 0.39
Probability of households with three or more = 16% or 0.16
The probability of a household with no TV set = 0.10 or 10% (1 - 0.35 - 0.39 - 0.16)
Therefore, the probability of a household with at least one or more sets = 90% (35% + 39% + 16%) or 100% - 10%.
Probability is the chance that something may occur out of many events. To calculate probability, we divide the number of events by the number of possible outcomes.
Answer:
x = 3
y = 2
Step-by-step explanation:
When 2 triangles are congruent, they will have exact same 3 sides length and exact same 3 angles measure.
So we can say:
-2x + 6y = 6
and
-7x + 8y = -5
Let's multiply first equation by 7 and 2nd equation by -2, to get:
7 [-2x + 6y = 6] = -14x +42y = 42
and
-2 [-7x + 8y = -5] = 14x - 16y = 10
Now adding these 2 new equations and solving for y:
-14x +42y = 42
14x - 16y = 10
----------------------
26y = 52
y = 52/26
y = 2
Now we put y = 2 into 1st equation (or any other) and solve for x:
-2x + 6y = 6
-2x + 6(2) = 6
-2x + 12 = 6
6 = 2x
x = 6/2
x = 3
Triangle WYZ and triangle TWY are congruent, therefore WZ = TW
WZ = TW
3x - 5 = 2x
3x - 2x = 5
x = 5
The value of x is 5
