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vodka [1.7K]
3 years ago
15

At a local Chamber of Commerce, there are 8 men and 7 women present for an executive election of a president, vice-president and

treasurer. Determine the probability that a women will be elected into one of the executive positions.
Mathematics
1 answer:
Otrada [13]3 years ago
7 0
Given that the are 8 men and 7 women present for an election, the probability that a woman will be elected will be given by:
P(Electing a woman)=[Total number of women]/[total number of candidates]
=7/15
the answer is 7/15
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On every sale he makes, Bill earns a commission. On a bed he sells for $591, Bill earns a $43 commission. Find the percent commi
user100 [1]

The percent of commission is 7.3% to the nearest tenth of a percent

Step-by-step explanation:

The given is:

  • Bill earns a commission on every sale he makes
  • He sells a bed for $591 and earns a $43 commission

We need to find the percent commission

To find the percent of commission divide the commission by the selling price and multiply the answer by 100%

∵ His commission is $43

∵ The selling price is $591

∵ The percent of commission = \frac{commission}{selling price} × 100%

∴ The percent of commission = \frac{43}{591} × 100%

∴ The percent of commission = 7.2758%

- Rounded it to the nearest tenth percent

∴ The percent of commission = 7.3%

The percent of commission is 7.3% to the nearest tenth of a percent

Learn ore:

You can learn more about the percent in brainly.com/question/6871421

#LearnwithBrainly

5 0
3 years ago
I think I got this for the most part just need to be surs
defon

Answer:

a) 37.33 tons

b) 96 tons

c) Week 2

Step-by-step explanation:

a) 40+40+32=112÷3=37.33 tons

b) 32+40+24=96 tons

c) Week 2

6 0
3 years ago
Please help!!!!!!!!!!!!!!!!!
nadya68 [22]

Answer: 5 up 10 over

Step-by-step explanation:

I had this on my quiz

3 0
2 years ago
Matsuki is very very bored...<br><br> 34 + 35 x (60/2) - (40/2) = ?
allsm [11]

I believe the answer is 1064.

P.s. your cute matsuki <3

4 0
2 years ago
Please Help! This is a trigonometry question.
liraira [26]
\large\begin{array}{l} \textsf{From the picture, we get}\\\\ \mathsf{tan\,\theta=\dfrac{2}{3}}\\\\ \mathsf{\dfrac{sin\,\theta}{cos\,\theta}=\dfrac{2}{3}}\\\\ \mathsf{3\,sin\,\theta=2\,cos\,\theta}\qquad\mathsf{(i)} \end{array}


\large\begin{array}{l} \textsf{Square both sides of \mathsf{(i)} above:}\\\\ \mathsf{(3\,sin\,\theta)^2=(2\,cos\,\theta)^2}\\\\ \mathsf{9\,sin^2\,\theta=4\,cos^2\,\theta}\qquad\quad\textsf{(but }\mathsf{cos^2\theta=1-sin^2\,\theta}\textsf{)}\\\\ \mathsf{9\,sin^2\,\theta=4\cdot (1-sin^2\,\theta)}\\\\ \mathsf{9\,sin^2\,\theta=4-4\,sin^2\,\theta}\\\\ \mathsf{9\,sin^2\,\theta+4\,sin^2\,\theta=4} \end{array}

\large\begin{array}{l} \mathsf{13\,sin^2\,\theta=4}\\\\ \mathsf{sin^2\,\theta=\dfrac{4}{13}}\\\\ \mathsf{sin\,\theta=\sqrt{\dfrac{4}{13}}}\\\\ \textsf{(we must take the positive square root, because }\theta \textsf{ is an}\\\textsf{acute angle, so its sine is positive)}\\\\ \mathsf{sin\,\theta=\dfrac{2}{\sqrt{13}}} \end{array}

________


\large\begin{array}{l} \textsf{From (i), we find the value of }\mathsf{cos\,\theta:}\\\\ \mathsf{3\,sin\,\theta=2\,cos\,\theta}\\\\ \mathsf{cos\,\theta=\dfrac{3}{2}\,sin\,\theta}\\\\ \mathsf{cos\,\theta=\dfrac{3}{\diagup\!\!\!\! 2}\cdot \dfrac{\diagup\!\!\!\! 2}{\sqrt{13}}}\\\\ \mathsf{cos\,\theta=\dfrac{3}{\sqrt{13}}}\\\\ \end{array}

________


\large\begin{array}{l} \textsf{Since sine and cosecant functions are reciprocal, we have}\\\\ \mathsf{sin\,2\theta\cdot csc\,2\theta=1}\\\\ \mathsf{csc\,2\theta=\dfrac{1}{sin\,2\theta}\qquad\quad\textsf{(but }}\mathsf{sin\,2\theta=2\,sin\,\theta\,cos\,\theta}\textsf{)}\\\\ \mathsf{csc\,2\theta=\dfrac{1}{2\,sin\,\theta\,cos\,\theta}}\\\\ \mathsf{csc\,2\theta=\dfrac{1}{2\cdot \frac{2}{\sqrt{13}}\cdot \frac{3}{\sqrt{13}}}} \end{array}

\large\begin{array}{l} \mathsf{csc\,2\theta=\dfrac{~~~~1~~~~}{\frac{2\cdot 2\cdot 3}{(\sqrt{13})^2}}}\\\\ \mathsf{csc\,2\theta=\dfrac{~~1~~}{\frac{12}{13}}}\\\\ \boxed{\begin{array}{c}\mathsf{csc\,2\theta=\dfrac{13}{12}} \end{array}}\qquad\checkmark \end{array}


<span>If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2150237


\large\textsf{I hope it helps.}


Tags: <em>trigonometry trig function cosecant csc double angle identity geometry</em>

</span>
8 0
3 years ago
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