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1 year ago

8

When taking a 17 question multiple choice test, where each question has 3 possible answers, it would be unusual to get or more q

uestions correct by guessing alone?

1 answer:

valentina_108 [34]1 year ago

5 0

Answer: If you’re talking on a percentage basis, it would be extremely unlikely to get a majority of the questions correct.

Step-by-step explanation:

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A motorcycle can go 50 miles using one gallon of gas. About how many gallons of gas will be used to go 150 kilometers? (Hint: 1

gayaneshka [121]

Answer:

The answer to your question is 1.875 gallons

Step-by-step explanation:

Data

distance = 50 mi

volume of gas = 1 gal

volume for 150 km = ?

Process

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1 mile ------------------- 1.6 km

x ------------------ 150 km

x = (150 x 1)/1.6

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2 years ago

What is the solution of the equation 3^x=12? Round your answer to the nearest ten-thousandth.

Lady_Fox [76]

Hey!

Okay, so if   $f(x)$ equals   $g(x)$ , then $In(f(x))$ equals   $In(g(x))$ . So, we'll plug in the numbers into this 'equation' we have now.

$In(3^{x} ) = In(12 )$

And now we'll apply this log rule →   $log_{a} (x^{b} ) = b * log_{a} (x)$

$In(3^{x} )=xIn(3) \\ xIn(3)=In(12)$

Now we have to solve $In(3^{x} )=xIn(3) \\ xIn(3)=In(12)$ . To do that, we'll divide both sides of the equation by   $In(3)$ .

$\frac{xIn(3)}{In3} = \frac{In(12)}{In(3)}$

Now we simplify

$x = \frac{In(12)}{In(3)}$

<em>So, this means the equation   $3^{x} =12$ solved is   $x = \frac{In(12)}{In(3)}$ or</em>  2.2619.

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