Try this option (see the attachment). Make design according own requirements.
Note, that the description and details are under green line.
Answer: 0.030921
Note, that the description and details are under green line.
Answer: 0.030921
A standard deck of cards has 52 cards. The cards have one of two colors: 26 cards in the deck are red and 26 are black. The card
1 answer:
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<h2>Answer:</h2>
- The optimal solution to the given linear programming problem exist at (100,50)
- and the optimal solution is: 5A+5B= 750
We are given a system of linear programming problem as follows:
Max 5A + 5B
s.t. A ≤ 100---------------(1)
B ≤ 80-------------(2)
2A+4B ≤400-------------(3)
which is given by:
A+2B ≤ 200
and A,B≥0
This means that the solution to this LPP will lie in the first quadrant.
( Since, both the variables A and B are greater than or equal to zero)
Now, we consider that A is represented by the x axis and B by y-axis.
We know that the optimal solution always exist at the boundary point.
Hence, by plotting these inequalities in the graph we get the boundary points as:
(0,0) , (0,80) , (100,0) , (100,50) and (40,80)
Now, we will check at which boundary point the optimal function is maximized .
Point Value of optimal function( 5A+5B)
(0,0) 0
(0,80) 400
(100,0) 500
(100,50) 750
(40,80) 600
The maximum value is obtained at (100,50).
and the value of the optimal solution is: 750
Answer:
The correct options are 1 and 3.
Step-by-step explanation:
From the given box plot it is clear that
Q₁ is 25% of a data.
Median is 50% of a data.
Q₃ is 75% of a data.
34 is minimum value of the data and 46 is median it means 50% of the data values lies between 34 and 46. Therefore option 1 is correct.
42 is first quartile and and 70 is third quartile. it means 50% of the data values lies between 42 and 70. Therefore option 2 is incorrect.
The difference between Minimum value and first quartile, Maximum value and third quartile is less than 1.5×(IQR), therefore it is unlikely to have any outliers in the data.
Hence option 3 is correct.
The interquartile range of the data is
The interquartile range is 28. Therefore option 4 is incorrect.
Range of the data is
The range is 42. Therefore option 5 is incorrect.
We have been given an equation . We are asked to solve the equation for t.
First of all, we will divide both sides of equation by a.
Now we will take natural log on both sides.
Using natural log property , we will get:
We know that , so we will get:
Now we will divide both sides by c as:
Therefore, our solution would be .