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1 year ago

Express 18 as a product of its factors?

Mathematics

1 answer:

Dimas [21]1 year ago

7 0

Answer:

18= 2 x 3 x 3

Step-by-step explanation:

Basically, we branch out 18 into its prime factors. So, the prime factorization of 18 is 18= 2 × 3 × 3. A factor tree is not unique for a given number. Instead of expressing 18 as 2 × 9, we can express 18 as 3 × 6.

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Suppose a basketball player has made 217 out of 302 free throws. If the player makes the next 3 free throws, I will pay you $23.

Anna [14]

Answer:

-$0.90

Step-by-step explanation:

There are only two possible outcomes, winning $23 (W) or losing $15 (L). Therefore:

$P(W) + P(L) = 1$

The probability of the player making his next 3 free throws (P(W)) is:

$P(W) = \frac{217}{302}*\frac{217}{302}*\frac{217}{302}\\P(W) = 0.37098$

The probability of the player NOT making his next 3 free throws (P(L)) is:

$P(L) = 1 - P(W) = 1 - 0.37098\\P(L) = 0.62902$

Expected value (EV) is given by the payoff of each outcome multiplied by its probability:

$EV = (23*0.37098) -(15*0.62902)\\EV = -\$0.90$

The expected value of the proposition is -$0.90

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2 years ago

What is 5-5x+4x equal ?

Arisa [49]

Answer:

-x+5

Step-by-step explanation:

5-5x+4x

= 5+(-5x)+4x

combine like terms:

5+(-5x)+4x

(-5x+4x)+(5)

= -x+5

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2 years ago

Find the inverse of each function. h ( n ) = 4/n − 2

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2 years ago

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9 ounce box of strawberry gelatin cost 0.90 in a 6 ounce box cost 0.42 what is the difference in cost per ounce between the larg

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2 years ago

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It has been said that newspapers are disappearing, replaced by various electronic media. In 2004, newspaper circulation (the num

shutvik [7]

Answer:

A. $y=-1.2x+59$

B. 42.2 million

Step-by-step explanation:

Part A:

Given:

Newspapers circulated in year 2004, $y_{1}=59\textrm{ million}$

Newspapers circulated in year 2014, $y_{2}=47\textrm{ million}$

Let the time $x$ start at the year 2004. So, $x_{1}=0$

For the year 2014, $x_{2}=2014-2004=10$

Therefore, linear relationship between newspapers circulated and time passed since 2004 is given as:

$y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1})\\y-59=\frac{47-59}{10-0}(x-0)\\y-59=-\frac{12}{10}x\\y=-1.2x+59$

Therefore, the equation describing the relationship is: $y=-1.2x+59$

Part B:

For the year 2018, $x=2018-2004=14$

Plug in 14 for $x$ in the above equation and solve for $y$ . This gives,

$y=-1.2(14)+59\\y=-16.8+59\\y=42.2$

Therefore, in the year 2018, the newspaper circulation will be 42.2 million.

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2 years ago

Express 18 as a product of its factors?​

Express 18 as a product of its factors?