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lorasvet [3.4K]
3 years ago
13

Please I need help I totally forgot how to do it

Mathematics
1 answer:
Hunter-Best [27]3 years ago
5 0
<span><span> 5n2+10n+20</span> </span>Final result :<span> 5 • (n2 + 2n + 4) </span>

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "n2"   was replaced by   "n^2". 

Step by step solution :Skip Ad
<span>Step  1  :</span><span>Equation at the end of step  1  :</span><span> (5n2 + 10n) + 20 </span><span>Step  2  :</span><span>Step  3  :</span>Pulling out like terms :

<span> 3.1 </span>    Pull out like factors :

  <span> 5n2 + 10n + 20</span>  =  <span> 5 • (n2 + 2n + 4)</span> 

Trying to factor by splitting the middle term

<span> 3.2 </span>    Factoring <span> n2 + 2n + 4</span> 

The first term is, <span> <span>n2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> +2n </span> its coefficient is <span> 2 </span>.
The last term, "the constant", is <span> +4 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • 4 = 4</span> 

Step-2 : Find two factors of  4  whose sum equals the coefficient of the middle term, which is  <span> 2 </span>.

<span><span>     -4   +   -1   =   -5</span><span>     -2   +   -2   =   -4</span><span>     -1   +   -4   =   -5</span><span>     1   +   4   =   5</span><span>     2   +   2   =   4</span><span>     4   +   1   =   5</span></span>
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A random variable is normally distributed with a mean of 25 and a standard deviation of 5. If an observation is randomly selecte
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Answer:

Value of 26.93 will be exceeded 85% of the time.

Step-by-step explanation:

We are given that a random variable is normally distributed with a mean of 25 and a standard deviation of 5.

Let X = a random variable

So, X ~ N(\mu=25,\sigma^{2} =5^{2})

The z score probability distribution is given by;

            Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean

            \sigma = standard deviation

Now, we have to find that value which will be exceeded 85% of the time, i.e.;

        P(X > x) = 0.85

    1 - P(X \leq x) = 0.85

         P(X \leq x) = 0.15

         P( \frac{X-\mu}{\sigma} \leq \frac{x-25}{5} ) = 0.15

         P(Z \leq \frac{x-25}{5} ) = 0.15

Now, in the z table the critical value of x whose less than area is 0.15 is given as 0.3853, i.e;

                 \frac{x-25}{5} = 0.3853

                 x-25=0.3853 \times 5

                    x = 25 + 1.9265 = 26.93

Therefore, value of 26.93 will be exceeded 85% of the time.

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Step-by-step explanation:

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If h(x)= 6x - 17, find h(8). *
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The value of h(8) in h(x)= 6x - 17 is 31

<h3></h3>

What are functions:

Functions relate input and output. Therefore, a function takes elements from a set (the domain) and relates them to elements in a set (range).

h(x)= 6x - 17

Let's find h(8)

h(8) = 6(8) - 17

h(8) = 48 - 17

h(8) = 31

learn more on function here:brainly.com/question/15615479?referrer=searchResults

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