In how many ways can you answer 15 true/false questions

Mathematics

1 answer:

Anna71 [15]3 years ago

4 0

Answer:

32768

Step-by-step explanation:

Each question has 2 options.

On a true/false test with one question, there are 2¹, or 2 possible answers

On a test with 2 questions, there are 2², or 4 possible answers.

On a test with 3 questions, there are 2³, or 8 possible answers.

So, 2¹⁵ = 32768 possible ways.

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A piece of equipment moves 16.8 yards in 12 minutes. how many feet does it move per minute? round the answer to three decimal pl

saw5 [17]

16.8/3=5.6

5.6/12=0.467

It moves 0.467 feet per minute.

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3 years ago

Read 2 more answers

Use 3.14 for the value of , and round your answers to two decimal places, where applicable. If the diameter of a circle is 15 m,

sergejj [24]

if the diameter of a circle is 15, its radius is half that or 7.5.

$\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=7.5 \end{cases} A=\pi (7.5)^2\implies A=56.25\pi \implies \stackrel{\pi =3.14}{A=176.625}$

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2 years ago

Given the inequality below:<br><br> 3x-y>4<br><br> Which is the graph of the solution set?

OLga [1]

Answer:

A shaded region below a dashed line (y <3x-4)

Step-by-step explanation:

For linear inequalities, we have shaded regions below or above a dashed or solid or continuous line represented by an inequality.

Their graphs are called region graphs. Those regions are only enclosed ones if before the sign of inequality it is included both variables. Like x²+y²<1, |x+y|<1, etc.

In this case what we have here is an open region, as the graph below shows.

3x-y>4 =-y>4-3x∴y<3x-4

Setting a value for x

3x-4=0

3x=4

3x/3=4/3

x=4/3 (slope)

(4/3,0)

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3 years ago

Which is the correct answer

VashaNatasha [74]

Let s denote the number of pages in each issue of the sports magazine.

Let t denote the number of pages in each issue of the technology magazine.

Given that a sports magazine prints 12 issues per year and a technology magazine prints 10 issues per year.The total number of pages in all the issues of the sports magazine for one year is 32 more than the total number of pages in all the issues of the technology magazine for one year.

This can be written in equation as,

$12s=10t+32$