Which sentence is the most accurate definition of an identity?

Mathematics

2 answers:

olga2289 [7]3 years ago

7 0

The <em>correct answer</em> is:

An identity is an equation that is true for all real numbers.

Explanation:

An identity is a mathematical statement that is always true. It does not matter what numbers you substitute in for the variables, the result will be the same.

Goryan [66]3 years ago

7 0

I think the correct answer from the choices listed above is the second option. The most accurate definition of an identity is that an identity is an equation that is true for all real values in its domain. It is also an equality relation that no matter what values are chosen the equation is still true.

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There are 7 Democrats and 6 Republicans on a local city council. A planning committee of 6 for affordable housing needs to be

Brut [27]

Answer:

The probability is $0.383$ .

Step-by-step explanation:

There are 7 democrats and 6 republicans

Number of ways in which 4 democrats and 2 republicans can be selected= ${}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}$

Number of ways in which 5 democrats and 1 republican can be selected= ${}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}$

Number of ways in which 6 democrats can be selected = ${}^{7}{{C}_{6}}$

So, favourable outcomes are ${}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}+{}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}+{}^{7}{{C}_{6}}$

Total possible outcomes = ${}^{13}{{C}_{6}}$

Now, probability= $\frac{Favourable}{Possible}=\frac{{}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}+{}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}+{}^{7}{{C}_{6}}}{{}^{13}{{C}_{6}}}=0.383$