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Zigmanuir [339]
3 years ago
14

Four times a number is greater than 48. What are the possible values for the number?

Mathematics
2 answers:
Archy [21]3 years ago
4 0

Answer:

this is a very easy question all you have to know is your times table.

the working is shown below:

12

×4

--------

48

---------

OR

------

12×4= 48

Murrr4er [49]3 years ago
3 0

Answer:

Any number greater than 12 but not including 12

Step-by-step explanation:

hope it helps u

FOLLOW MY ACCOUNT PLS PLS

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Georgianna claims that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.
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Answer:

The  condition  are

           The  Null hypothesis is  H_o  :  \mu = 5

           The  Alternative hypothesis is  H_a  :  \mu <  5

The  check revealed that

             There is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons

Step-by-step explanation:

From the question we are told that

     The  population mean is  \mu =  5 \ year

      The sample size is  n =  20

      The sample mean is  \=  x  =  4.6 \  years

       The  standard deviation is \sigma  =  2.2  \ years

   The  Null hypothesis is  H_o  :  \mu = 5

   The  Alternative hypothesis is  H_a  :  \mu <  5

So i will be making use of  \alpha =  0.05 level of significance to test this claim

    The critical value of  \alpha from the normal distribution table is  Z_\alpha  =  1.645

 

Generally the test statistics is mathematically evaluated as

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

substituting values

                 t =  \frac{ 4.6  - 5}{ \frac{2.2}{\sqrt{20} } }

                t =  -0.8131

Looking at the value of  t and Z_{\alpha } we see that  t <  Z_{\alpha } so we fail to reject the null hypothesis  

  This implies that there is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.

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