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Natasha_Volkova [10]
2 years ago
6

Seventy-five percent of the data falls below what number? 30 12 36 27

Mathematics
2 answers:
padilas [110]2 years ago
8 0
Total number is 40
Percentage asked is 75
\frac{75}{100}  \times 40
= 30
Therefore the correct answer is 30
ahrayia [7]2 years ago
6 0

Seventy-five percent of the data falls below what number?

30

12

36

27

In the box and whisker plot, the first dot represents the minimum value in data set.

In our box and whisker plot, 6 is the minimum value.

The next dot is Q1, Quartile1. The 25% values of data set are within 6 and 12.

The next dot is Q2, or Median. The 50% values of data set are within 6 and 20.

The next dot is Q3, or Quartile3. The 75% values of data set are within 6 and 27.

The last dot is maximum value of data set, 36 in our box and whisker plot.

So, 75% of the data falls below 27.

Answer: 27 Option(d)

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The length of rectangular sheet is 400.35 cm

The area of rectangular sheet is 100087.5 square centimeters

<em><u>Solution:</u></em>

Given that,

Width of rectangular sheet = 250 cm

Diagonal of rectangular sheet = 472 cm

To find: length and area of rectangular sheet

The figure is attached below

Consider the rectangle ABCD

CD is the length = ?

BC is the width = 250 cm

BD is the diagonal = 472 cm

The diagonal BD and length and width forms a right angled triangle with diagonal as hypotenuse

We can use Pythogoras theorem to find length

Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

By above definition for right angled triangle DCB,

BD^2=BC^2 + CD^2

472^2 = 250^2 + CD^2\\\\222784 = 62500 + CD^2\\\\CD^2 = 222784 - 62500\\\\CD^2 = 160284\\\\\text{Take square root on both sides }\\\\CD = \sqrt{160284}\\\\CD = 400.35

Thus length of rectangular sheet is 400.35 cm

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