Answer:
+18
Step-by-step explanation:
Unless it's multiplucation, then its 8
Answer:
24x+18
Step-by-step explanation:
You distribute the 6 to the 4x and the 3
Answer:
Step-by-step explanation:
<u>Total frequencies:</u>
Median group is the containing the middle - 25th and 26th frequencies. This is the 11-15 interval.
<u>Estimated median formula:</u>
- Estimated Median = L + ((n/2) − B)/G* w, where
- L - lower class boundary of the group containing the median = 10.5
- n - total number of values = 50
- B - cumulative frequency of the groups before the median group = 6 + 15 = 21
- G - frequency of the median group = 20
- w - group width = 5
<u>Substitute values and work out the number:</u>
- Estimated Median = 10.5 + (50/2 - 21)/20*5 = 11.5
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!!!