Mixed numbers between 0 and 2, with a interval of 1/3 between each pair of mixed numbers
2 answers:
Answer:
The numbers are: .
Step-by-step explanation:
Consider the provided numbers.
Mixed number is the sum of a whole number and a fraction.
We need to find the mixed number between 0 and 2, the smallest mixed number should be greater than 1(between 0 and 2). Because if we add a fraction to 0 it will gives us that fraction, not a mixed number.
We want to use the interval of 1/3 between each pair of mixed numbers;
So, The number form as:
Thus, the numbers are: .
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D) 28 is the right answer
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Answer:
Option <em>B</em> is not the most common correct choice.
Step-by-step explanation:
The multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E.
The probability that any of these five option is the correct answer is:
A random sample of 400 multiple-choice questions on Advanced Placement exam are selected.
The results showed that 90 of the 400 questions having B as the answer.
To test the hypothesis that option B is more likely the correct answer for most question, the hypothesis can be defined as:
<em>H₀</em>: All the options are equally probable, i.e. <em>p</em> = 0.20.
<em>Hₐ</em>: Option B is more likely the correct option, i.e. <em>p</em> > 0.20.
Compute the sample proportion as follows:
The test statistic is:
The test statistic is 1.25.
Decision rule:
If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.
Compute the <em>p</em>-value as follows:
*Use a <em>z</em>-table.
The <em>p</em>-value is 0.1057.
The <em>p</em>-value of the test is quite large. Thus, the null hypothesis was failed to rejected.
Hence, it can be concluded that option <em>B</em> is not the most common correct choice.
Note: Consider "÷" sign instead of "=".
Given:
To find:
The quotient.
Solution:
We have,
It can be written as
Splitting the middle terms, we get
Taking out the common factor (x-1), we get
Cancel the common factors.
The quotient is .
Therefore, the correct option is D.