All categories

3 years ago

What is the difference A B C D

Mathematics

1 answer:

aksik [14]3 years ago

4 0

Answer:

D. $\frac{x-1}{x^2+3x+2}}$

Step-by-step explanation:

The given expression is;

$\frac{x}{x^2+3x+2}-\frac{1}{(x+2)(x+1)}$

This is the same as;

$\frac{x}{(x+2)(x+1)}-\frac{1}{(x+2)(x+1)}$

The denominators are the same.

Subtract the numerators and write one denominator;

$\frac{x-1}{(x+2)(x+1)}}$

Rewrite to get;

$\frac{x-1}{x^2+3x+2}}$

You might be interested in

A function is represented by the values in the table.

andreev551 [17]

The function represented in the table is linear.

8 0

3 years ago

Read 2 more answers

Please hurry i need this fast

andrey2020 [161]

Answer:

Step-by-step explanation:

Hope this helps! Have a nice day! Please consider making me Brainliest!

6 0

3 years ago

A foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a committee of 4 is selected

Fittoniya [83]

Answer:

(a) The probability that the members of the committee are chosen from all nationalities $=\frac{4}{33}$ =0.1212.

(b)The probability that all nationalities except Italian are represent is 0.04848.

Step-by-step explanation:

Hypergeometric Distribution:

Let $x_1$ , $x_2$ , $x_3$ and $x_4$ be four given positive integers and let $x_1+x_2+x_3+x_4= N$ .

A random variable X is said to have hypergeometric distribution with parameter $x_1$ , $x_2$ , $x_3$ , $x_4$ and n.

The probability mass function

$f(x_1,x_2.x_3,x_4;a_1,a_2,a_3,a_4;N,n)=\frac{\left(\begin{array}{c}x_1\\a_1\end{array}\right)\left(\begin{array}{c}x_2\\a_2\end{array}\right) \left(\begin{array}{c}x_3\\a_3\end{array}\right) \left(\begin{array}{c}x_4\\a_4\end{array}\right) }{\left(\begin{array}{c}N\\n\end{array}\right) }$

Here $a_1+a_2+a_3+a_4=n$

${\left(\begin{array}{c}x_1\\a_1\end{array}\right)=^{x_1}C_{a_1}= \frac{x_1!}{a_1!(x_1-a_1)!}$

Given that, a foreign club is made of 2 Canadian members, 3 Japanese members, 5 Italian members and 2 Germans members.

$x_1$ =2, $x_2$ =3, $x_3$ =5 and $x_4$ =2.

A committee is made of 4 member.

N=4

(a)

We need to find out the probability that the members of the committee are chosen from all nationalities.

$a_1$ =1, $a_2$ =1, $a_3$ =1 , $a_4$ =1, n=4

The required probability is

$=\frac{\left(\begin{array}{c}2\\1\end{array}\right)\left(\begin{array}{c}3\\1\end{array}\right) \left(\begin{array}{c}5\\1\end{array}\right) \left(\begin{array}{c}2\\1\end{array}\right) }{\left(\begin{array}{c}12\\4\end{array}\right) }$

$=\frac{2\times 3\times 5\times 2}{495}$

$=\frac{4}{33}$

=0.1212

(b)

Now we find out the probability that all nationalities except Italian.

So, we need to find out,

$P(a_1=2,a_2=1,a_3=0,a_4=1)+P(a_1=1,a_2=2,a_3=0,a_4=1)+P(a_1=1,a_2=1,a_3=0,a_4=2)$

$=\frac{\left(\begin{array}{c}2\\2\end{array}\right)\left(\begin{array}{c}3\\1\end{array}\right) \left(\begin{array}{c}5\\0\end{array}\right) \left(\begin{array}{c}2\\1\end{array}\right) }{\left(\begin{array}{c}12\\4\end{array}\right) }+\frac{\left(\begin{array}{c}2\\1\end{array}\right)\left(\begin{array}{c}3\\2\end{array}\right) \left(\begin{array}{c}5\\0\end{array}\right) \left(\begin{array}{c}2\\1\end{array}\right) }{\left(\begin{array}{c}12\\4\end{array}\right) }$ $+\frac{\left(\begin{array}{c}2\\1\end{array}\right)\left(\begin{array}{c}3\\1\end{array}\right) \left(\begin{array}{c}5\\0\end{array}\right) \left(\begin{array}{c}2\\2\end{array}\right) }{\left(\begin{array}{c}12\\4\end{array}\right) }$

$=\frac{1\times 3\times 1\times 2}{495}+\frac{2\times 3\times 1\times 2}{495}+\frac{2\times 3\times 1\times 1}{495}$

$=\frac{6+12+6}{495}$

$=\frac{8}{165}$

=0.04848

The probability that all nationalities except Italian are represent is 0.04848.

6 0

3 years ago

10.

vodomira [7]

<h3>Solution:</h3>

Given, side (a) = x+3
We know, surface area of a cube = 6a^2
Therefore, the surface area of the cube

<h3> </h3><h3> $6(x + 3) ^{2} \\ = 6( {x}^{2} + 6x + 9) \\ = 6 {x}^{2} + 36x + 54$ </h3><h3>Answer:</h3>

The answer is

${6x}^{2} + 36x + 54$

<h3>Hope it helps.</h3>

Sorry for delay

3 0

2 years ago

What is the value of expression below?

aleksandr82 [10.1K]

$\huge\text{Hey there!}$

$\huge\boxed{\mathsf{\sqrt{49} + 2\times6}}\\\\\huge\boxed{= \mathsf{\bold{7}+ 2\times6}}\\\\\huge\boxed{= \mathsf{7 + \bf 12}}\\\\\huge\boxed{\mathsf{= \bf 19}}\\\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{19}}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

3 0

2 years ago