Select the sentence that represents the equation below.
1 answer:
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There are a variety of methods of performing this subtraction, and corresponding different methods of regrouping.
If you're taught (as I was) to do the subtraction right-to-left, then the first regrouping you need to do is when you try to subtract 500 from 100. You must regroup the 8 thousands and 1 hundred to 7 thousands and 11 hundreds. Then, when you subtract 5 hundreds, you end with 7 thousands and 6 hundreds.
The next regrouping you need to do is when you try to subtract 6 ten-thousands from 5 ten-thousands. You must regroup the 2 hundred-thousands and 5 ten-thousands to 1 hundred-thousand and 15 ten-thousands. Then, when you subtract 6 ten-thousands, you end with 1 hundred-thousand and 9 ten-thousands.
The end result is
... 258,197 - 64,500 = 193,697
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If you use an abacus or soroban or similar tool to help you keep track of the numbers, you were likely taught to do the subtraction left-to-right. In this case, the first regrouping comes when you want to subtract 6 ten-thousands. Practitioners of this method know that -6 = -10 +4, so the number represented on the tool becomes (2-1) hundred-thousands and (5+4) ten-thousands plus the rest of the initial number, or 198,197 after subtracting the 6 ten-thousands.
The subtraction proceeds until you find you need to subtract 500 from 100. At this point, the tool is representing the partial result as 194,197. Again, if you practice this method, you know that -5 = -10 +5, so you reduce the thousands digit by 1 (to 3) and add 5 to the hundreds digit to get 193,697.
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An attempt is made to show the regroupings in the attachment. In each case there are two of them. However, working left-to-right, the result of the first subtraction of 6 ten-thousands is 19 ten-thousands, so you never actually write down anything else. Of course, if you're using an abacus or soroban, you don't write down anything—you simply change the position of the beads on the tool.
Answer:
(1) The between groups degrees of freedom is 2.
(2) TRUE.
(3) The correct option is (a).
Step-by-step explanation:
(1)
The between groups degrees of freedom for the study is:
Thus, the between groups degrees of freedom is 2.
(2)
The hypothesis for he one-way ANOVA is:
<em>H</em>₀: All the means are equal.
<em>Hₐ</em>: At least one of the mean is not equal.
The output of the ANOVA test is attached below.
The <em>p</em>-value of the test is 0.00005.
<em>p</em>-value = 0.00005 < <em>α</em> = 0.05
Thus, the result is statistically significant.
The statement is TRUE.
(3)
As the <em>p</em>-value of the test is less than the significance level, the researcher should make the decision to reject the null hypothesis.
The correct option is (a).
Answer:
<em>Correct option B.</em>
Step-by-step explanation:
The diagram shows a trapezoid with a base angle of 45° and the other base angle of 90°.
We have completed the diagram to draw a perpendicular line over the base of height h=4. A triangle is formed with an angle of 45°.
Recall a right triangle with angles of 45° is isosceles, thus the base and the height are h=4. Please check the diagram below.
For that triangle, we apply Pythagora's Theorem:
Thus:
The base of the trapezoid x is h + 3 = 7
Thus:
Correct option B.
