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Kisachek [45]
3 years ago
7

Fator the following problem x^2+12x+36​

Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
5 0

Answer:

(x-6)^2

Step-by-step explanation:

Hope this helped

user100 [1]3 years ago
4 0

Answer:

(x+6)2

Step-by-step explanation:1

What two numbers sum up to the middle term (6), and have a product of the last term (36)?

After some trial and error, we arrive at 6 and 6, which means we can factor this as

(x+6)(x+6) or (x+6)2

Another way we could have approached this is that we see that the leading term and the last term are both perfect squares.

With this in mind, we could rewrite the expression as

(x)2+12x+(6)2

Now, it becomes a little more clearer that we can factor this as

(x+6)2

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1

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From the question we are told that

    The  population mean is  \mu =  100

     The  standard deviation is  \sigma  =  15

     The  sample size is  n  =  36

     The  sample mean is  \=  x =  105.1

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     The  alternative hypothesis is  H_a  :  \mu  \ne  100\ hours

Given that the null hypothesis is  true then the  distribution of sample means  \mu_{\=  x }, from a sample size of 36 is  mathematically represented as

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Generally  the approximate probability of observing a sample mean of 105.1 or more is mathematically represented as

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From the z-table (reference calculator dot net )

             P(Z

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 P( \=  X   \ge 105.1 ) =0.02    

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