3 years ago

7. What is the area of the trapezoid shown? 4 cm 10 cm 8 cm W 10 cm

Mathematics

1 answer:

Keith_Richards [23]3 years ago

5 0

Answer:

88 ... .... . ... . . . ... ............... ....

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A student repeatedly measures the mass of an object using a mechanical balance and gets the following values: 560 g, 562 g, 556

MrRissso [65]

Answer: 2.76 g

Step-by-step explanation:

The formula to find the standard deviation:-

$\sigma=\sqrt{\dfrac{\sum(x_i-\overline{x})^2}{n}}$

The given data values : 560 g, 562 g, 556 g, 558 g, 560 g, 556 g, 559 g, 561 g, 565 g, 563 g.

Then, $\overline{x}=\dfrac{\sum_{i=1}^{10} x_i}{n}\\\\\Rightarrow\ \overline{x}=\dfrac{560+562+556+558+560+556+559+561+565+563}{10}\\\\\Rightarrow\ \overline{x}=\dfrac{5600}{10}=560$

Now, $\sum_{i=1}^{10}(x_i-\overline{x})^2=0^2+2^2+(-4)^2+(-2)^2+0^2+(-4)^2+(-1)^2+1^2+5^2+3^2\\\\\Rightarrow\ \sum_{i=1}^{10}(x_i-\overline{x})^2=76$

Then, $\sigma=\sqrt{\dfrac{76}{10}}=\sqrt{7.6}=2.76$

Hence, the standard deviation of his measurements = 2.76 g

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Tim wants to build a rectangular fence around his yard. He has feet of fencing. If he wants the length to be twice the width, wh

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3 years ago

7. What is the area of the trapezoid shown? 4 cm 10 cm 8 cm W 10 cm​

7. What is the area of the trapezoid shown? 4 cm 10 cm 8 cm W 10 cm