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11111nata11111 [884]
3 years ago
5

20(−1.5r+0.75) expand the expression and combine like terms

Mathematics
2 answers:
tatyana61 [14]3 years ago
6 0
<span>20(−1.5r + 0.75)

here, you need to distribute the "20" to the inside of your parentheses. you'll be multiplying 20 and -1.5 first:

-30r

then 20*0.75 second:

-30r + 15 is your expanded expression. you can't combine like terms any further.</span>
boyakko [2]3 years ago
4 0

Answer:

-30r + 15

Step-by-step explanation:

We have been given that

20(−1.5r+0.75)

Use the distributive property a(b+c)=ab+ac.

20×(−1.5r)+20×0.75

Multiplying, we get

-30r +15

These two are not like terms. Hence , we cannot combine them.

Therefore, we cannot simplify it more.

Hence, the simplified expression is -30r + 15

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Complete Question

In a study of the accuracy of fast food drive-through orders, one restaurant had 32 orders that were not accurate among 367 orders observed. Use a 0.05 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable?

Answer:

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Step-by-step explanation:

Generally from the question we are told that

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    The population proportion for rate of inaccurate orders is  p = 0.10

The null hypothesis is  H_o :  p = 0.10

The alternative hypothesis is  H_a :  p \ne 0.10

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Generally the test statistics is mathematically represented as

         z= \frac{ \^ p - p }{ \sqrt{ \frac{ p(1 - p)}{ n} } }

=>      z= \frac{ 0.0872  - 0.10 }{ \sqrt{ \frac{ 0.10 (1 - 0.10 )}{367} } }  

=>      z= -0.8174

From the z table  the area under the normal curve to the left corresponding to  -0.8174 is  

         P(z <  -0.8173 )  = 0.20688

Generally the p-value is mathematically represented as

         p- value =  2 *  0.20688

=>      p- value =  0.4138

From the value obtained we see that  p-value >  \alpha hence

The decision rule  is

  Fail to reject the null hypothesis

The conclusion is  

  There is sufficient evidence to show that the rate of inaccurate orders is equal to​ 10%

 

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