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insens350 [35]
3 years ago
14

Determine whether the sample is biased. Explain.

Mathematics
1 answer:
NeX [460]3 years ago
7 0
The sample is not biased. It is a random sample.
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This figure is made up of a rectangle and parallelogram.
ivann1987 [24]

The area of the figure is 40 units. (rounded off from 39.998 units)

Step-by-step explanation:

1. Area of the figure = Area of Rectangle + Area of Parallelogram.

2. Naming points:

Let the rectangle consist of points A(-6,-1), B(-5,-5), C(3,-3) and D(2,1).

Let the parallelogram consist of points C(3,-3), D(2,1), E(2,7) and F(3,3).

3. Each coordinate has a point on the x-axis and a point on the y-axis. We shall refer to these points as x', x'' ,x''' and so on corresponding to the x-axis values of A, B, C and so on in that order till F. For the y-axis points, we will name them in the series of y', y'', y''' and so on.

In simple words, in A(-6,1), x' = -6; y' = -1

4. Formula for finding area:

Area of a rectangle = length (l) × width (w)

Area of a parallelogram = base (b) x height (h)

5. Finding area of the rectangle:

l = AD = \sqrt{[x'''' - x']^{2} - [y'''' - y']^{2}}

, i.e. AD = \sqrt{[2 - (-6)]^{2} - [1 - (-1)]^{2}}

, i.e. AD = √68 = 8.246 (rounded to 3 decimals) = l

Now, w = AB = \sqrt{[x'' - x']^{2} - [y'' - y']^{2}}

, i.e. AB = \sqrt{[(-5) - (-6)]^{2} - [(-5) - (-1)]^{2}}

, i.e. AB = √17 = 4.123 (rounded to 3 decimals) = w

Area of rectangle = l x w = 8.246 x 4.123 = 33.998 units.

6. Finding area of the parallelogram:

b = DE = 6 units (we can observe this from the graph, i.e. points from 1 to 7 on the y axis)

h = Height is the line drawn perpendicular to the base from point F, which as we can see is 1 unit long.

Hence, Area of parallelogram = b x h = 6 x 1 = 6 units.

7. Now, adding both, we can arrive at the final answer.

Area of the figure = Area of rectangle + Area of parallelogram,

i.e. 33.998 units + 6 units = 39.998 units. (can be rounded off to 40 units)

4 0
3 years ago
A country is dealing with a serious macroeconomic problem. Businesses
nikitadnepr [17]

Answer:

A: A high unemployment rate

Step-by-step explanation:

4 0
3 years ago
Which of the following functions is graphed below?
levacccp [35]

Answer:

Step-by-step explanation:-

-

-8239910.76

8 0
3 years ago
What is the distance between these two points? Write in simplest radical form.
kaheart [24]

Answer:

51

Step-by-step explanation:

hope that helps

6 0
2 years ago
(Need help) pls read all of it?
Tems11 [23]

Answer:

total amount of tickets for the rides: 21+32+31=84

total amount of tickets she has: 23-6= 17

total amount of tickets she needs left: 84-17=67

answer: 67

Hope this helped :) have a great rest of your day or evening!!!

6 0
3 years ago
Read 2 more answers
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