Answer:
The other answer I saw is the same way that I used to explain in my class as well. But, there's an alternative way to reach the answer as well
First thing that we should know is that if there are 'n' units kept in a row, then there are 'n+1' gaps generated by them. So, what we should understand is that when there is no item there is 1 gap, when there is one item there are 2 gaps, and so on.
Let us use that concept here, with a small variation: the 5 shelves are 5 initial gaps. The first book has 5 choices (5 initial gaps) to go to. Once we have placed this book, there are now 6 gaps on which the 2nd book can be placed. After the 2nd book is placed, there are 7 gaps in which 3rd book can be placed, and so on.
So, the total arrangements will be = 5*6*7*...24 [as there are 20 books] = 24P20
Answer:
C. Type I error
Step-by-step explanation:
Hello!
The hypothesis tested was:
H₀: μ = 7
H₁: μ > 7
The decision was taken: Reject the null hypothesis.
Reminder:
There are four decisions you can take when you make a hypothesis test.
1. Reject the null hypothesis when the hypothesis is false (This is a correct decision)
2. Reject the null hypothesis when the hypothesis is true (This decision is also known as Type I error)
3. Fail to reject the null hypothesis when the hypothesis is true (This is a correct decision)
4. Fail to reject the null hypothesis when the hypothesis is false (This decision is also known as Type II error)
Since they concluded, that the average process time vas greater than 7 days, when it was 7 days, they rejected the null hypothesis when it was true. This is a Type I error and its associated probability is α.
I hope it helps!
Answer:
1/2 L
Step-by-step explanation:
She makes 1 1/2 L of lemonade i.e. 3/2 L of lemonade.
She pours 1/4 of liter of lemonade into a thermos to take to the park. The amount of lemonade left is:
3/2 - 1/4 = 1 1/4 L = 5/4 L
Her brother drinks 2/5 of the remaining lemonade. The amount of lemonade that her brother drinks is:
2/5 * 5/4 = 1/2 L
Her brother drinks 1/2 L.
The answer to Part A is 13.25.
And the answer to Part B is hen you round to the nearest 10th the steps are nearly always the same:<span>Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be.Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place.If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is. Any digits after that number (including the next smallest place value you just looked at) become zeros, or drop-off if they're located after the decimal point. This is called rounding down.<span>If the next smallest place value is greater than or equal to five (5, 6, 7, 8, or 9), you increase the value of the digit you're rounding to by one (+1). Just like before, any remaining digits before the decimal point become zeros, and any that are after the decimal point are dropped. This is called rounding up.
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Answer:
x=1.277
Step-by-step explanation:
Not Available.
