The probability that an adult possesses a credit card is .70. A researcher selects two adults at random. By assuming the independence, the probability that the first adult possesses a credit card and the second adult does not possess a credit card is:
Answers
Answer: 0.21
Step-by-step explanation:
We know that if two events A and B are independent , then the probability of A and B is given by :-
Given: The probability that an adult possesses a credit card P(A)= 0 .70
The probability that an adult does not possess a credit card
By assuming the independence, the probability that the first adult possesses a credit card and the second adult does not possess a credit card is given by :-
Hence, the probability that the first adult possesses a credit card and the second adult does not possess a credit card is 0.21.
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There are 45 new houses being built in a neighborhood. Last month, 1/3 of them were sold. This month, 1/5 of the remaining houses were sold. How many houses are left be sold?
The best fit line is given by the equation y=0.5x+0.4, where y represents the distance in miles, and x represents the time for the trip in minutes.Use the best fit line to estimate the distance for a trip that takes 20 minutes.Enter your response in the box. Give the answer to the tenths place.miles
Multiply the polynomials 3(x+7) (show work pls)
A) 5y(5 + w)
B) (5y + 5)w
C) y(5 + 5w)
D) (y + w)5
Answers
5y + 5w
factor out a 5
5(y+w)
Choice D
the 5 can go on either end of (y+w)
a. Formulate an LP model for this problem.
b. Sketch the feasible region.
c. What is the optimal solution?
Answers
Answer:
Let X1 be the number of decorative wood frame doors and X2 be the number of windows.
The profit earned from selling each door is $500 and the profit earned from selling of each window is $400.
The Sanderson Manufacturer wants to maximize their profit. So for this model, the objective function is
Max: 500X1 + 400X2
Now the total time available for cutting of door and window are 2400 minutes.
so the time taken in cutting should be less than or equal to 2400.
60X1 + 30X2 ≤ 2400
The total available time for sanding of door and window are 2400 minutes. Therefore, the time taken in sanding will be less than or equal to 2400. 30X1 + 45X2 ≤ 2400
The total time available for finishing of door and window is 3600 hours. Therefore, the time taken in finishing will be less than or equal to 3600. 30X1 + 60X2 ≤ 3600
As the number of decorative wood frame door and the number of windows cannot be negative.
Therefore, X1, X2 ≥ 0
so the questions
a)
The LP mode for this model is;
Max: 500X1 + 400X2
Subject to:
60X1 + 30X2 ≤ 2400
]30X1 +45X2 ≤ 2400
30X1 + 60X2 ≤ 3600
X1, X2 ≥ 0
b) Plot the graph of the LP
Max: 500X1+ 400X2
Subject to:
60X1 + 30X2 ≤ 2400
30X1 + 45X2 ≤ 2400
30X1 + 60X2 ≤ 3600
X1,X2
≥ 0
In the uploaded image of the graph, the shaded region in the graph is the feasible region.
c) Consider the following corner point's (0,0), (0, 53.33), (20, 40) and (40, 0) of the feasible region from the graph
At point (0, 0), the objective function,
500X1 + 400X2 = 500 × 0 + 400 × 0
= 0
At point (0, 53.33), the value of objective function,
500X1 + 400X2 = 500 × 0 + 400 × 53.33 = 21332
At point (40, 0), the value of objective function,
500X1 + 400X2 = 500 × 40 + 400 × 0 = 20000
At point (20, 40), the value of objective function
500X1 + 400X2 = 500 × 20 + 400 × 40 = 26000
The maximum value of the objective function is
26000 at corner point ( 20, 40 )
Hence, the optimal solution of this problem is
X1 = 20, X2 = 40 and the objective is 26000
Answers
Answer:
Answer to Let Bold Upper A equals Start 3 By 3 Matrix 1st Row 1st Column 1 2nd ... 1st Column 4 2nd Column 7 3rd Column 0 3rd Row 1st Column negative 4 ...
Step-by-step explanation:
Answers
Answer:- 8
Step-by-step explanation:
-4 + 4(3)/ -4+3
-4 +12 / -1
8/-1
Answers
10 would be the initial cost and would be unchangeable, leaving it as a constant. The $8 on the other hand increases based on the number of hours, making it the constant with the variable next to it.
Hope this helps!
Answers
Answer:
6 books
Step-by-step explanation:
22, 23, 25, 25, 26, 28
6 books contained at least 22 characters but less than 29.