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Snowcat [4.5K]
3 years ago
8

Solve x2 - 4x + 6 = 0 by completing the square

Mathematics
1 answer:
lesya692 [45]3 years ago
8 0
2x-4x+6=0
2x+6=0
2x=6
x=3
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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.
Allisa [31]

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.

4 0
2 years ago
. Зn – 1 = 8<br> Pls tell me what n equals lol
Naddika [18.5K]

Answer:

Зn – 1 = 8

3n=9

n=3

Hope This Helps!!!

8 0
2 years ago
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L'Airbus A380 consomme approximativement 15 600 litres de kérosène à
sasho [114]

Answer:

7 800 pour 1/2 heure

Step-by-step explanation:

15 600/2=7 800

7 0
2 years ago
Which expression means a number divided by 3? A. r – 3 B. r ÷ 3 C. r + 3 D. r × 3
nirvana33 [79]
B.....is has division...................
7 0
3 years ago
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Help please. due soon.
Marat540 [252]

Answer:

10

Step-by-step explanation:

rise/run

rising 20 and running 2

20/2=10

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3 years ago
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