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galina1969 [7]
3 years ago
11

The number line shows the graph of an inequality:Which statement explains whether −2.5 can be a value in the shaded region?

Mathematics
1 answer:
4vir4ik [10]3 years ago
6 0
Yes it can be.... because -3.5 is on the left of 2.5
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Find the distance d (P1,P2) between the given points P1 and P2 P1= (5,4) P2=(-4,5)
oee [108]

Answer:

\sqrt{82  }

Step-by-step explanation:

d = \sqrt{(x_{1} - x_2)^2+(y_1-y_2)^2  }

d = \sqrt{(5 - (-4))^2+(4-5)^2  }

d = \sqrt{(9)^2+(-1)^2  }

d = \sqrt{81+1  } = \sqrt{82  }

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Aleksandr-060686 [28]
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Step-by-step explanation:

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Genrish500 [490]

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3 years ago
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
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