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crimeas [40]
3 years ago
8

Determine the number of solutions to the system: x + 6y = 6 7x - 3y = - 3

Mathematics
1 answer:
krek1111 [17]3 years ago
6 0
X+6y=6
7x-3y=-3

3x+18y=18
42x-18y=-18

45x=0

x=0

putting the value x in above equation....

6y=6

y=1

hope it will help you ☺️



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Complete Question

Statistics professors believe the average number of headaches per semester for all students is more than 18. From a random sample of 15 students, the professors find the mean number of headaches is 19 and the standard deviation is 1.7. Assume the population distribution of number of headaches is normal.the correct conclusion at \alpha =0.001 is?

Answer:

There is no sufficient evidence to support the professor believe

Step-by-step explanation:

From the question we are told that

     The population mean is  \mu =  18

     The sample size is  n  =  15

      The sample mean is  \=  x  =  19

      The standard deviation is  \sigma =  1.7

      The level of significance is  \alpha  =  0.001

The null hypothesis is  H_o:  \mu = 18

The  alternative hypothesis is  H_a :  \mu > 18

 The critical value of the level of significance from the normal distribution table is    

         Z_{\alpha } =  3.290527

The test hypothesis is mathematically represented as

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

substituting values  

         t =  \frac{ 19  - 18}{ \frac{1.7}{ \sqrt{15} } }

         t =  2.28

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

This mean that there is no sufficient evidence to support the professor believe

     

       

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3 years ago
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Step-by-step explanation:

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Answer:

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x / y = 10

Step-by-step explanation:

20 / 2 = 10

50 / 5 =10

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70 / 7 = 10

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nikitadnepr [17]

Answer:

C. D. E. is the correct answer.

Step-by-step explanation:

Hope this helps you. Have a nice day. If you have doubt then please ask in comments.

Please mark as brainliest. It helps a lot.

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