Answer:
B) 10g
Step-by-step explanation:
Collect like terms
8g + 4g - 2g = 10g
2 - 2 = 0
10g + 0= 0
Answer:
The probability that another accident will occur that same month = 0.44907
Step-by-step explanation:
Let consider X to be the random variable that follows an exponential distribution with a mean of 52.
The mean of the exponential distribution
Thus, the probability distribution of X is:
Suppose X represents the time interval between the accident that happened in October 1 and the following accident.
Then, the probability that another accident will occur in the same month is the same as the event that the time between the two accidents are less than 31 (given that the month of October have 31 days)
Thus, we can calculate the required probability as follows:
Thus, the probability that another accident will occur that same month = 0.44907
Answer:
To get the highest scores, one needs to answer 4 computational problems and 8 graphical problems.
Step-by-step explanation:
Let x be the required number of computational problems one can answer
And y be the number of graphical problems one can answer.
- One cannot answer more than 12 questions in total
x + y ≤ 12
- Computational problems take 2 mins to answer and graphical problems take 4 mins to answer and there is a maximum of 40 mins for the quiz
2x + 4y ≤ 40
- Then finally, there 6 points associated with a computational problem and 10 points associated with a graphical problem and we want to maximize the number of points obtained from the test.
P(x,y) = 6x + 10y
So, the problem looks more like a linear programming problem to maximize
P(x,y) = 6x + 10y
subject to the constraints
x + y ≤ 12
2x + 4y ≤ 40
solving the constraint equations using the maximum values of the inequalities
x + y = 12
2x + 4y = 40
From the first eqn, x = 12 - y
Substituting into the second wan
2(12 - y) + 4y = 40
24 - 2y + 4y = 40
2y = 16
y = 8
x = 12 - y = 12 - 8 = 4
So, the solution of the equation of constraints, or even the graph of both constraint equation is
x = 4, y = 8
These represents the number of computational and graphical problems to maximally satisfy the constraints and maximize the required number of points.
Hope this Helps!!!
Answer:
92°
Step-by-step explanation:
If ΔABC ≈ ΔPQR then ∡A = ∡P
∡P is 92° so ∡A is 92°