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2 years ago

The purpose of Radom sampling in a is to ensure what?

Mathematics

1 answer:

const2013 [10]2 years ago

5 0

It is to insure the experiment does not have bias.

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This figure is made up of a quadrilateral and a semicircle.

Arturiano [62]

Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The length of AB is

$AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}$

The length of AD is

$AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}$

Since AB=AD, therefore ABCD is a square. The area of the of square is

$A_1=a\times a=\sqrt{29}\times \sqrt{29} =29$

The area of square is 29 units².

The area of a semicircle is

$A_2=\frac{\pi}{2}r^2$

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

$r=\frac{d}{2}=\frac{\sqrt{29}}{2}$

The area of the semicircle is

$A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825$

The area of the figure is

$A=A_1+A_2=29+11.2825=40.3825\approx 40.4$

Therefore the area of the figure is 40.4 units². Option B is correct.

5 0

3 years ago

9. If PQRS is a kite, find RQ. * 17 ft. 23 ft. 30 ft. 12 ft.

svetlana [45]

Answer:

17 ft

Step-by-step explanation:

The triangle on the bottom left is a right triangle.

a² + b² = c²

(8 ft)² + (15 ft)² = (RQ)²

64 ft² + 225 ft² = (RQ)²

(RQ)² = 289 ft²

RQ = 17 ft

4 0

2 years ago

3. A teacher made a copy of a map. To make the map easier to see, the teacher enlarged the area of the map by 38%. Let d represe

____ [38]

Answer:

1.38d

Step-by-step explanation:

4 0

2 years ago

What is the common denominator for ¾ and 9/10?

Contact [7]

Answer:

20 so the fractions would be 3/4=15/20 and 9/10=18/20

Step-by-step explanation:

because 4 x 5 = 20 and 10 x 2 = 20

8 0

3 years ago

Read 2 more answers

What is the largest number that rounds to 560,000?

anastassius [24]

Answer:

559,999

Step-by-step explanation:

4 0

2 years ago