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max2010maxim [7]
3 years ago
15

A piece of metal with a mass of 140. g is placed in a 50 mL graduated cylinder. The water level rises from 20. mL to 41 mL. What

is the density of the metal?
Mathematics
1 answer:
Klio2033 [76]3 years ago
3 0
1. An object submerged in water, rises up a volume of water equal to the volume of the object. 


2.   1 milliliter of water has a volume of 1 cubic centimeters. 


3.    Mass= Density * Volume
-----------------------------------------------------------------------------------------------------


The water level rises from 20.mL to 41.mL means that a volume of 21mL of water has been displaced.              

This means that the volume of the object is 21 cm cubed.        (by 1 and 2)

By 3, the density of the piece of metal is:

Density=Mass/Volume=140 g / 21 cm^3= (140/21) g/cm^3=6.67 g/cm^3


Answer: 6.67 g/cm^3
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The <em>probabilities</em> constitute a branch of mathematics that deals with measuring or quantitatively determining the possibility that an event or experiment produces a certain result. The probability is based on the study of combinatorics and is the necessary foundation of statistics.

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A 4-digit PIN is selected. What is the probability that there are no repeated digits?

First, there are only 10 possible values for each digit of the PIN (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). The total possibles 4 PINs are 10^{4} =10000

There's no repeated numbers and all the four numbers have to be different, which means we have to select 4 numbers out of 10 numbers. Using the permutation equation nP_{k} =\frac{n!}{(n-k)!}

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