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lukranit [14]
3 years ago
12

A jar contains 30 red, 30 blue, and 60

Mathematics
1 answer:
kiruha [24]3 years ago
3 0

The probability of picking red button is \frac{1}{4}

<u>Solution:</u>

Given, A jar contains 30 red, 30 blue, and 60 white buttons.  

You pick one button at a random choice,  

We have to find the probability that it is red button.

Now, total number of buttons = 30 + 30 + 60 = 120 buttons.

Number of favourable cases for red button = 30 red buttons.

The probability of an event is given as:

\text { probability of a event }=\frac{\text { favourable ways to pick red }}{\text { total possiblities }}

=\frac{30}{120}=\frac{1}{4}

Thus the probability that it is red is \frac{1}{4}

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Two quantities vary inversely. If the value of the first is 15 when the value of the second is 18, find the value of the second
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Answer:

The value of second quantity is 27

Step-by-step explanation:

Inverse variation can be represented by the equation xy=k or y = \frac{k}{x} i.e,

y varies inversely as x , if there is some nonzero constant k such that, xy =k or y = \frac{k}{x} where  x≠0 and y≠0.

Given: Two quantities vary inversely.

Let x be the first quantity and y be the second quantity if they  vary inversely.

then, by definition of inverse variation;

y = \frac{k}{x}            .....[1]

Substitute the value of x=15 and y=18 to solve for k;

18= \frac{k}{15}

Multiply both sides by 15 we have;

15\times 18=15 \times \frac{k}{15}

Simplify:

k=270

now, find  the second quantity y using same method when x=10.

then;

after substituting the value of x=10 and k=270 in [1] ;

y = \frac{270}{10}

Simplify:

y= 27

Therefore, the second quantity value i.e,y = 27



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3 years ago
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