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xz_007 [3.2K]
3 years ago
7

24m^2n+30mn^2+18mn, a sweet challenge!

Mathematics
2 answers:
ladessa [460]3 years ago
8 0

24m^2n+30mn^2+18mn

Factor 6mn ( Greatest Common Factor) out of the 3 terms:

6mn(4m) + 6mn(5n) + 6mn(3)

Factor 6mn out of the first 2 terms:

6mn(4m + 5n +3)

Brums [2.3K]3 years ago
6 0

Answer:

6mn (4m + 5n + 3).

Step-by-step explanation:

The  Greatest Common Factor is  6mn ,  so we have:

24m^2n+30mn^2+18mn

= 6mn (4m + 5n + 3)  (answer).


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Please help me. I need how to do the problem too
MatroZZZ [7]

Answer: Choice A.  (8, 4)

==========================================================

Explanation:

Because x = 2y, we can replace every copy of x with 2y

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3 years ago
It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 122 feet. A transportat
madreJ [45]

Complete Question

The complete question is shown on the first uploaded image

Answer:

the null hypothesis is  H_o  :  \mu =  122

the alternative hypothesis is H_a  :  \mu \ne  122

The test statistics is  t =  - 1.761

The p-value is  p =  P(Z  <  t ) = 0.039119

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Step-by-step explanation:

From the question we are told that

   The population mean is  \mu  = 122

     The sample size is  n=  38

    The sample mean is  \= x  =  116 \ feet

     The standard deviation is \sigma  =  21

     

Generally the null hypothesis is  H_o  :  \mu =  122

                the alternative hypothesis is H_a  :  \mu \ne  122

Generally the test statistics is mathematically evaluated as

         t =  \frac { \= x - \mu }{\frac{ \sigma }{ \sqrt{n} } }

substituting values

         t =  \frac { 116 -  122 }{\frac{ 21 }{ \sqrt{ 38} } }

         t =  - 1.761

The p-value is mathematically represented as

      p =  P(Z  <  t )

From the z- table  

     p =  P(Z  <  t ) = 0.039119

So  

     p  \ge 0.01

 

         

     

           

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