2 years ago

The coordinates of the points below represents the vertics of a rectangle

Mathematics

1 answer:

Tanya [424]2 years ago

6 0

Not sure what the question is, but I'm guessing you want to find out the area of the rectangle.

The distance between points P and Q is 4.

The distance between points Q and R is 3.

So the area is 3 * 4 = 12.

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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

6 0

3 years ago

I need help please asap

LUCKY_DIMON [66]

4500 = 4.5 * 10^3

57 = 5.7 * 10^1

730 = 7.3 * 10^2

0.007 = 7 * 10^-3

300.25 = 3.0025 * 10^2

56,325.2 = 5.63252 * 10^4

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2 years ago

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What is the equation of the line that passes through the point (4,-7) and has a

aalyn [17]

Answer:

$y = -\frac{1}{2} x -5$

point slope form....

y - (-7) = -1/2(x-4)

y + 7 = -x/2 + 2

2y + 14 = -x + 4

2y = -x -10

y = -1/2 x - 5

Step-by-step explanation:

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Step 1. Divide denominator to numerator .

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Step 3. Keep the denominater (5) and add 5.4 as your numerator. <span />

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erastova [34]

Answer:

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