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3 years ago

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On a coordinate grid, both point (−4, −1) and (2, 6) point are reflected across the y-axis. What are the coordinates of the refl

ected points?
(4, 1) and (−2, −6)

(−4, 1) and (−2, 6)

(−4, 1) and (2, −6)

(4, −1) and (−2, 6)

1 answer:

Mkey [24]3 years ago

3 0

The answer is A, (4,1) and (-2,-6).

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What is the probability of randomly choosing a permutation of the 10 digits 0, 1, 2, . . . , 9 in which (a) an odd digit is in t

inysia [295]

The first digit is one of {1, 3, 5, 7, 9}, and the last digit is one of {1, 2, 3, 4, 5}.

If the first digit is one of {1, 3, 5} (3 choices), then the last digit is one of {1, 2, 3, 4, 5} minus whatever is picked for the first digit (4 choices, and the remaining eight digits can be arranged in 8! ways, so there are 12*8! possible permutations.

If the first digit is one of {7, 9} (2 choices, then the last digit is one of {1, 2, 3, 4, 5} (5 choices), and again there are 8! ways of arranging the remaining digits, so there are 10*8! possible permutations.

Then the total number of permutations that fit the criteria is 12*8! + 10*8! = 22*8!. There are 10! total permutations that can be made overall, so the probability of randomly picking one we want is

$\dfrac{22\cdot8!}{10!}=\dfrac{22}{10\cdot9}=\boxed{\dfrac{11}{45}}$

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4 years ago

halfway through the fourth year , harrys collection contains 400 pennies. study the graph provided at the beginning of this acti

elixir [45]

Answer:

The coordinates of the point is (3,5 , 400)

Step-by-step explanation:

The question is incomplete as the graph is not given in the question. Lets complete the question first. I have attached the graph related to this question below.

We can see in the graph that x-axis represents the years while the y-axis represents the pennies collected by Harry.

We have to find the coordinates of the point where he is able to collect 400 pennies.

As y-axis represents pennies, and the point to be found is at 400 pennies, so the y-coordinates of the point is 400.

Harry collects 400 pennies when he is halfway through 4rth year, which means that he has been collecting for:

3 years + Half of 4rth year = 3.5 years.

As x-axis represents the year and the point to be found is at 3.5 years, so the x-coordinate of the point is 3.5.

So, the coordinates of the point is (3,5 , 400)

This point can be seen in the second graph

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