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3 years ago

7

There are 8 boys and 12 girls in Mr Rossi’s class one student will be chosen randomly to represent the class at a conference of

seventh grade students what is the probability that the representative will be a girl

1 answer:

erma4kov [3.2K]3 years ago

7 0

Answer:

0.6 or 60%.

Step-by-step explanation:

Given: There are 8 number of boys in the class.

There are 12 number of girls in the class.

Now, finding total number of students in the class of Mr Rossi.

Total number of students= $number\ of\ boys+ number\ of\ girls$

∴ Total number of students in the class= $8+12= 20\ students$

Next finding the probability of having representative will be a girl.

Probability of having girl= $\frac{Number\ of\ favorable\ outcome}{Total\ number\ of\ outcomes}$

⇒ Probability of having girl= $\frac{12}{20} = \frac{3}{5}$

∴ Probability of having girl as a representative= $\frac{3}{5}$

Converting the fraction into decimal, we will get 0.60 and in percentage, we will get 60%.

∴ 0.60 or 60% probability that the representative will be a girl.

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Step-by-step explanation:

Part 4) A circle has an arc of length 56pi that is intercepted by a central angle of 120 degrees. What is the radius of the circle?

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The circumference of a circle subtends a central angle of 360 degrees

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$\frac{2\pi r}{360^o}=\frac{56\pi}{120^o}$

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$cos^2(\theta)+sin^2(\theta)=1$

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$cos(\theta)=-\frac{2}{3}$

substitute the given value

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see the attached figure to better understand the problem

In the right triangle ABC of the figure

$sin(\theta)=\frac{BC}{AC}$

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$AC^2=AB^2+BC^2$

substitute the given values

$AC^2=11^2+9^2$

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$sin(\theta)=\frac{9\sqrt{202}}{202}$

Remember that

The point (11,-9) lies in Quadrant IV

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