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Snezhnost [94]
3 years ago
7

Please help me please

Mathematics
1 answer:
arsen [322]3 years ago
7 0

The key to this problem is to write out the probabilities and determine which one is most likely and least likely (or impossible).

Drawing a black card from a standard deck of playing cards:

There are 52 cards in a playing deck, 26 are red and 26 are black.

\frac{26}{52} = \frac{1}{2}

A spinner has 5 equal sections numbered 1 through 5. You spin and land on a number less than or equal to 4.

This means that all the numbers (1, 2, 3, and 4) except 5.

\frac{4}{5}

You roll a standard number cube and get a number less than 2.

A standard cube is from 1 to 6, and 1 is the only number on the cube that is less than 2.

\frac{1}{6}

You roll two standard number cubes and the sum is 1.

The smallest number on a standard cube is 1, so you can't make the sum 1 with 2 dice.

0

If we put these in order, we get:

\frac{4}{5}, \frac{1}{2}, \frac{1}{6}, 0

So, the order going from top to bottom in the picture is: 2, 1, 3, 4

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Step-by-step explanation:

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θ = 8/3 = 2.7 radians

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A sequence is defined by the formula f(n+1)=f(n)-3. If f(4)=22, what is f(1)?
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<h3>Answer: Choice C) 31</h3>

==============================================

Explanation:

The recursive rule

f(n+1)=f(n)-3

can be rearranged to

f(n) = f(n+1)+3

after adding 3 to both sides

----------------

Now let's say we plug in n = 3

f(n) = f(n+1)+3

f(3) = f(3+1)+3

f(3) = f(4)+3

f(3) = 22+3

f(3) = 25

Repeat for n = 2

f(n) = f(n+1)+3

f(2) = f(2+1)+3

f(2) = f(3)+3

f(2) = 25+3

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Each time we keep adding 3 to get the previous term (since the original recursive rule says to subtract 3 to get the next term; we just go backwards of what the instructions say).

Lastly, we can find that f(1) = f(2)+3 = 28+3 = 31 making the answer to be choice C.

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