6) 4n - 8 = -2n + 5n 7. 197=8(1-4a)+5a
2 answers:
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Answer:
240 ft by 480 ft
Step-by-step explanation:
Area is maximized when the long side is half the total length of the fence. That makes the short side (out from the river) be half the length of the long side.
The fenced field dimensions are 240 feet by 480 feet.
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You can let x represent the length of the long side. Then the length of the short side is half the remaining fence: (960 -x)/2.
The total area is the product of these dimensions:
A = x(960 -x)/2
We note that this is the equation of a parabola with zeros at x=0 and x=960. The maximum will be found on the line of symmetry, halfway between the zeros. That is at x = (0 +960)/2 = 480.
The area is maximized for a long-side dimension of 480 feet. The short sides are 240 feet.
Answer:
(a) The probability that both computers are ancient is 0.7396
(b) The probability that all seven computers are ancient is 0.3479
(c) The probability that at least one of seven randomly selected computers is cutting dash edge is 0.6520.
Because the probability is about 65% is it not unusual that at least one of seven randomly selected computers is cutting dash edge, it's more likely than not.
Step-by-step explanation:
We know that 86% of computers are classified as ancient. This means, if one computer is chosen at random, there is an 86% chance that it will be classified as ancient.
(a) To find the probability that two computers are chosen at random and both are ancient you must,
The probability that the first computer is ancient is and the probability that the second computer is ancient is
These events are independent; the selection of one computer does not affect the selection of another computer.
When calculating the probability that multiple independent events will all occur, the probabilities are multiplied, this is known as the rule of product.
Let A be the event "the first computer is ancient" and B the event "the second computer is ancient".
(b) To find the probability that seven computers are chosen at random and all are ancient you must,
Following the same logic in part (a) we have
Let A be the event "the first computer is ancient",
B the event "the second computer is ancient",
C the event "the third computer is ancient",
D the event "the fourth computer is ancient",
E the event "the fifth computer is ancient",
F the event "the sixth computer is ancient", and
G the event "the seventh computer is ancient"
(c) To find the probability that at least one of seven randomly selected computers is cutting dash edge you must
Use the concept of complement. The complement of an event is the subset of outcomes in the sample space that are not in the event.
Let C the event "the computer is cutting dash edge".
Let A the event "the seven computers are ancient".
Because the probability is about 65% is it not unusual that at least one of seven randomly selected computers is cutting dash edge, it's more likely than not.