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finlep [7]
3 years ago
8

I don't understand how to solve this, please help!

Mathematics
1 answer:
murzikaleks [220]3 years ago
7 0

Answer:

x+1 , x<-1

x²-bx-4  , -1≤x≤4

1/2 x +a

substitute x=-1 , continuous everywhere

x+1=x²-bx-4 when x=-1

-1+1=-1²-b-4

<h2>1+b-4=0 ⇒ +b-3 ⇒ b=3</h2>

then for :

x²-bx-4=1/2 x +a for x=4

4²-4b-4=1/2x+a

16-4(3)-4=4/2+a

16-12-4-2=a

<h2>a=-2</h2>

the equations will be :

x+1

x²-3x-4

1/2x-2

I hope this help

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Answer:

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Step-by-step explanation:

An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating:

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At the alternate hypothesis, we test that it is different, that is:

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The test statistic is:

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59.5 is tested at the null hypothesis:

This means that \mu = 59.5

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z = \frac{59.2 - 59.5}{\frac{1.9}{\sqrt{250}}}

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Pvalue of the test and decision:

The pvalue of the test is the probability of finding a mean that differs from 59.5 by at least 0.3, which is P(|Z|>-2.5), which is 2 multiplied by the pvalue of Z = -2.5.

Looking at the z-table, Z = -2.5 has a pvalue of 0.0062

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The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

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