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3 years ago

Pls help me with this question it's due today

Mathematics

2 answers:

Fantom [35]3 years ago

8 0

Answer:

(2,1)

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

2x+(x-1)=5

3x-1=5

+1 +1

3x=6

x=2

y=2-1

y=1

ryzh [129]3 years ago

7 0

Answer:

x=2

y=1

Step-by-step explanation:

You need to substitute y=x-1 into the top equation

2x+(x-1)=5

3x-1=5

3x=6

x=6/3

x=2

substitute x back into y=x-1

y=2-1

y=1

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Answer:

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The Alternative hypothesis is

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Step-by-step explanation:

From the question we are given

a set of data

20 18 17 22 18

The confidence level is 90%

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$\= x = \frac{20 + 18 + 17 + 22 + 18}{5}$

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The standard deviation is evaluated as

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$\sigma = \sqrt{ \frac{ ( 20- 19 )^2 + ( 18- 19 )^2 +( 17- 19 )^2 +( 22- 19 )^2 +( 18- 19 )^2 }{5} }$

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Now the confidence level is given as 90 % hence the level of significance can be evaluated as

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$\alpha =0.10$

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$H_o : \mu = 21$

the Alternative hypothesis is

$H_a : \mu< 21$

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$\sigma_{\= x} = \frac{\sigma}{ \sqrt{n} }$

substituting values

$\sigma_{\= x} = \frac{2}{ \sqrt{5 } }$

$\sigma_{\= x} = 0.8944$

The test statistic is evaluated as

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

substituting values

$t = \frac{ 19 - 21 }{ 0.8944 }$

$t = -2.236$

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$z_{0.10} = 1.28$

Looking at the obtained value we see that $z_{0.10}$ is greater than the test statistics value so the null hypothesis is rejected

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