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UNO [17]
3 years ago
13

Is order of operations and number of operations the same thing?

Mathematics
2 answers:
KonstantinChe [14]3 years ago
7 0
No order of operations is what you might know as Pemdas ,number of Operations is something iv'e never heard of.
Schach [20]3 years ago
4 0

Answer:

<em>No. </em>

Step-by-step explanation:

Because the order of operations stands for parenthesis, exponents, multiply, divide, add, and subtract from left to right.

Examples: 12+9*8÷2

Multiply and divide numbers from left to right.

\displaystyle 9\times8\div2

\displaystyle 9\times8=72

\displaystyle 72\div2=36

\displaystyle 36+12

Add numbers from left to right.

\displaystyle 36+12=48

\huge \boxed{48}, which is our answer.

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A matched pairs experiment compares the taste of instant versus fresh-brewed coffee. Each subject tastes two unmarked cups of co
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Answer:

We conclude that the majority of people prefer the taste of fresh-brewed coffee.

Step-by-step explanation:

We are given that of the 50 subjects who participate in the study, 16 prefer the instant coffee.

We have to test the claim that a majority of people prefer the taste of fresh-brewed coffee.

<em />

<u><em>Let p = proportion of the population who prefer fresh-brewed coffee</em></u>

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Alternate Hypothesis, H_A : p > 50%     {means that the majority of people prefer the taste of fresh-brewed coffee}

The test statistics that would be used here <u>One-sample z proportion statistics;</u>

                        T.S. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion who prefer fresh-brewed coffee = \frac{34}{50} = 0.68

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So, <u><em>test statistics</em></u>  =  \frac{0.68-0.50}{\sqrt{\frac{0.68(1-0.68)}{50} } }  

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The value of z test statistics is 2.73.

<u>Now, P-value of the test statistics is given by;</u>

         P-value = P(Z > 2.73) = 1 - P(Z \leq 2.73)

                       = 1 - 0.99683 = 0.0032

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the z table gives critical values of 1.645 for right-tailed test.

<em>Since our test statistics is more than the critical value of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><u><em>we reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that the majority of people prefer the taste of fresh-brewed coffee.

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