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3 years ago

Caroline flips a coin 3 times. According to the tree diagram, how many possible outcomes exist?

Mathematics

1 answer:

quester [9]3 years ago

3 0

Answer:

Step-by-step explanation:

When flipping a coin, you get a head (H) or a tail (T)

The second part of the tree diagram will be HT HT

The third part of the tree diagram will be HT HT HT HT

The outcomes are 8

H-------H---------H---------HHH

T-------- HHT

T----------H----------HTH

T---------HTT

T-------H-----------H---------THH

T---------THT

T------------H--------TTH

T--------TTT

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Solve the system of equations. y=23x–19 x2–y= – 6x–23 Write the coordinates as integers, simplified proper or improper fractions

forsale [732]

Answer:

(3, 50) and (14,303)

Step-by-step explanation:

Given the system of equations;

y=23x–19 ....1

x²–y= – 6x–23 ...2

Substitute 1 into 2;

x²–(23x-19)= – 6x–23

x²–23x+19= – 6x–23 .

x²-23x + 6x + 19 + 23 = 0

x² - 17x + 42 = 0

Factorize;

x² - 14x - 3x + 42 = 0

x(x-14)-3(x-14) = 0

(x-3)(x-14) = 0

x = 3 and 14

If x = 3

y = 23(3) - 19

y = 69-19

y = 50

If x = 14

y = 23(14) - 19

y = 322-19

y = 303

Hence the coordinate solutions are (3, 50) and (14,303)

8 0

3 years ago

Give an example of a recursive sequence. Please?

disa [49]

f(x)=f(x−1)+2 this is one example =)

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3 years ago

6 gallons of paint was

Paladinen [302]

Answer:

Step-by-step explanation:

because if 1 room is a 3/4 which is almost there but not quite, and 3+3 is 6.. 3/4 + 3/4 is bigger then 6

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3 years ago

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Jose and two of his friends are collecting baseball cards. Their goal is for the three of them to collect at least 100 cards in

schepotkina [342]

Answer:

3c + 43 >_ 100

Step-by-step explanation:

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2 years ago

Three times the sum of a number and 15 is 24

allsm [11]

Answer:

$\huge\boxed{\sf x = -7}$

Step-by-step explanation:

Let the number be x

So,

=> The sum of number and 15 is x + 15

=> Three times will be 3(x+15)

Given that it equals 24

So, the given condition is:

3(x+15) = 24

Resolving Parenthesis

3x + 45 = 24

Subtracting 45 to both sides

3x = 24 - 45

3x = -21

Dividing both sides by 3

x = -7

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2 years ago

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