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Svetradugi [14.3K]

3 years ago

5

An election ballot asks voters to select three city commissioners from a group of six candidates, in how many ways can this be d

one?

1 answer:

slava [35]3 years ago

6 0

20 possibilities based on this as a combination not a permutation, 6 nCr 3 = 20

You might be interested in

Simplify.<br> -3(u + 3) + 4(4u + 2)

sergeinik [125]

Hello!

So, here you want to do the distributive property.

Start on the left side of the + sign...

-3*u = -3u

-3*3 = -9

So we now we have:

(-3u + -9) + 4(4u + 2)

Now we focus on the right side of the + sign...

4*4u=16u

4*2=8

So now we have:

(-3u + -9) + (16u + 8)

Now you want to combine like terms. Start by adding terms with the same variable. So, we need to add -3u and 16u

<em>-3u + 16u =</em> 13u

Now we have:

13u + -9 + 8

Now add the constants, -9 + 8

-9 + 8 = -1

So, the simplified expression would be:

13u - 1 or 13u + -1

6 0

3 years ago

Read 2 more answers

2x-4/5=4<br> plsss answer quick

nikdorinn [45]

Answer:

<h2>x = 12</h2>

Step-by-step explanation:

$\frac{2x - 4}{5} =4$

First of all multiply through by 5 to eliminate the fraction

That's

$5 \times \frac{2x - 4}{5} = 4 \times 5 \\ 2x - 4 = 20$

Next using the addition property add 4 to both sides of the equation

We have

$2x - 4 + 4 = 20 + 4 \\ 2x = 24$

<u>Divide both sides by 2</u>

$\frac{2x}{2} = \frac{24}{2}$

We have the final answer as

<h3>x = 12</h3>

Hope this helps you

6 0

4 years ago

Read 2 more answers

Which of these ordered pairs is a solution to the inequality y < x+1

Snowcat [4.5K]

We have that
<span>y < x+1

using a graph tool
see the attached figure

the answer is
</span><span>C. (15,0)</span>

3 0

3 years ago

A certain spinner has equally sized slices. The probability of landing on a red slice is 4/9. What are the odds in favor of land

Novosadov [1.4K]

There are 4 red slices out of 9 total. So there are 9-4 = 5 slices that are not red. The odds in favor of landing on red is 4:5

We basically write the number of ways to get what we want (4), followed by a colon, then the second number is the number of ways to get what we don't want (anything but red; 5 ways)

So that's why the answer is 4:5

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

Side Note -- If we want the odds against, we simply flip the ratio. The odds against would be 5:4 because there are 5 ways to lose and 4 ways to win. This is assuming that landing on red means you win.

4 0

4 years ago

Given cos(4x)+2<br><br> Find: Period, Shift, & Range

Yuki888 [10]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\
% function transformations for trigonometric functions
\begin{array}{rllll}
% left side templates
f(x)=&{{ A}}sin({{ B}}x+{{ C}})+{{ D}}
\\\\
f(x)=&{{ A}}cos({{ B}}x+{{ C}})+{{ D}}\\\\
f(x)=&{{ A}}tan({{ B}}x+{{ C}})+{{ D}}

\end{array}\qquad$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks}\\
\quad \textit{horizontally by amplitude } |{{ A}}|\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\end{array}$

$\bf \begin{array}{llll}


\bullet \textit{vertical shift by }{{ D}}\\
\qquad if\ {{ D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{function period or frequency}\\
\qquad \frac{2\pi }{{{ B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\
\qquad \frac{\pi }{{{ B}}}\ for\ tan(\theta),\ cot(\theta)
\end{array}$

now, with that template in mind, let's see

$\bf \begin{array}{llccll}
cos(&4x&+0)&+2\\
&\uparrow &\uparrow &\uparrow \\
&B&C&D
\end{array} 
\\\\\\
period\qquad \cfrac{2\pi }{B}\implies \cfrac{2\pi }{4}\implies \cfrac{\pi }{2}
\\\\\\
\textit{horizontal/phase shift}\qquad \cfrac{C}{B}\implies \cfrac{0}{4}\implies 0\impliedby none
\\\\\\
\textit{vertical shift}\qquad D=+2\impliedby \textit{2 units up}$

now the range, how far up and down it goes on the y-axis

well, for the graph of cos(x), the range is, goes up to 1, down to -1, is all,

the midline is at 0

now, with a vertical shift of 2 upwards, it moves the midline by 2 units, used to be at 0, now is at y = 2, but the amplitude never changed, is goes up and down still one unit,

but with the midline at 2, goes up to 3 and down to 1, so the range is 3 ⩽ y ⩽ 1

4 0

4 years ago