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3 years ago

Purchasing a TV that is 20% off will save $180.

Mathematics

1 answer:

Flauer [41]3 years ago

4 0

Answer:

$900

Step-by-step explanation:

a)Off given on purchasing a TV= 20%

20% on TV = $ 180

Let the original price of TV set $ x

According to question,

20% of x= $180

$\frac{20}{100}$ ×x= $180

x = $ 180× 5

x= $ 900

Hence, Original price of TV set= $ 900

b) By second method,

20%= $180

1%= $ 9

100% = $900

Hence, the original price $ 900

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Answer:

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3 years ago

t hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular regio

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Given:

Required:

To find the probability that the dart land will be in the shaded region.

Explanation:

Area of the circle is given by the formula:

$A=\pi r^2$

Where r = radius

Thus the area of the circular region

$\begin{gathered} =(3.14)\times(2)^2 \\ =3.14\times4 \\ =12.56\text{ square in.} \end{gathered}$

The area of the square is given by the formula:

$=(side)^2$

Thus the area of the given square

$\begin{gathered} =(6)^2 \\ =36\text{ square in.} \end{gathered}$

The probability of an event is given by the formula:

$P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}$

The probability that the dart land will be in the shaded region

$=\frac{Area\text{ of the shaded region}}{Area\text{ of the square}}$

Thus probability

$\begin{gathered} P=\frac{12.56}{36} \\ P=0.3488 \\ P=0.349 \end{gathered}$

Final answer:

Thus the probability that the dart land will be in the shaded region is 0.349.

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