9 numbers of nickels
13 numbers of quarters
Answers:
- False
- True
- True
- False
- True
- False
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Explanations:
- If we can write a number as a ratio (or fraction) of two whole numbers, then that number is considered rational. The denominator can never be 0. In the case of 6/4, this is a rational number. Therefore, the statement "6/4 is irrational" is false.
- This is a true statement. We cannot write sqrt(2) as a fraction of two integers. The proof of this is fairly lengthy, but one way is to use a proof by contradiction to show that sqrt(2) = a/b is impossible. Since we cannot make sqrt(2) into a ratio of two integers, we consider it irrational.
- This is a true statement. Any terminating decimal is always rational. In this case, 1.3 = 13/10.
- This is false. Any repeating decimal can be converted to a fraction through a bit of work. It turns out that 17.979797... = 1780/99 which makes the value to be rational.
- Any integer is rational. We can write the integer over 1. So something like -16 is the same as -16/1, showing how it is rational. So that's why this statement is true.
- This statement is false because we found true statements earlier.
Answer: Paired t interval for μdiff
Step-by-step explanation:
The confidence interval suitable for analysing the data described in the scenario above is the paired t test which is employed when there are two different sets of measured reading or observation for each subject. In the scenario above, the subjects are of of the different planters employed whereby the pair of measurement are the weight of tomatoes obtained for each of the two different fertilizer types applied to each of the two plants in a planter. With these data, we can measure the difference in the effectiveness of each of the store brand and homegrown compost.
Answer:
Discriminant review
Discriminant reviewThe discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.
