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Zina [86]
3 years ago
13

To SubTract 178-135 Mentally Carmine Adds 5 To each Number Karen Adds 2 To Each Number Will Both Methods Work To find The Correc

t Answer? Why Or Why Not?
Mathematics
1 answer:
Shtirlitz [24]3 years ago
3 0

Answer:

  Yes

Step-by-step explanation:

Both methods will work. You can add or subtract any number you wish from both numbers and the result will be the same.

___

<em>Comment on the approach</em>

By adding 5, Carmine makes the subtrahend have a units digit of 0, making the units digit of the answer easier to find.

By adding 2 to both numbers, Karen makes the minuend have a units digit of 0, so the units digit of the answer will be the 10's complement of 7. Depending on Karen's knowledge of arithmetic facts, this may be more work for her than Carmine's method is for Carmine.

Since all digits of the subtrahend are less than or equal to all digits of the minuend, no adjustment is needed and the subtraction can proceed directly.

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2 years ago
A sociologist records the annual household income (in thousands of dollars) among a sample of families living in a high-crime ne
Gnoma [55]

Answer:

The lower quartile is Q_1=33 thousand dollars.

The median quartile is Q_2=39 thousand dollars.

The upper quartile is Q_3=45 thousand dollars.

Step-by-step explanation:

The lower quartile is the median value of the lower half of a data set at the 25th percentile of a distribution.

The median quartile is the median value of a data set at the 50th percentile of a distribution.

The upper quartile is the median value of the upper half of a data set at the 75th percentile of a distribution.

To locate each quartile in a data set, we follow four steps:

Step 1: Put the numbers in order: 23, 25, 33, 34, 39, 39, 44, 45, 48, 55

Step 2: The median is given by \frac{n+1}{2} where n is all scores in the data set.  

Because n = 10, the median position is \frac{10+1}{2}=5.5

The median is the average of the fifth and sixth positioned scores

Q_2=\frac{39+39}{2} =39

Step 3:  Compute \frac{n+1}{2} where n is all scores below Q_2.

For scores below Q_2, use only 23, 25, 33, 34, 39.

Because n = 5, the median position is \frac{5+1}{2}=3

The median is the third positioned score: Q_1=33

Step 4: Compute \frac{n+1}{2} where n is all scores above Q_2.

For scores above Q_2, use only  39, 44, 45, 48, 55

Because n = 5, the median position is \frac{5+1}{2}=3

The median is the third positioned score: Q_3=45

7 0
3 years ago
Contestant and like terms. What do they mean?
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Answer:

Step-by-step explanation:

Like Terms: terms that have the same variable raised to the same power. So like 5x plus 5x plus 5. 5x and 5x are like terms.

I'm going to assume you mean Constant instead of contestant so

Constant: Terms without variables

Example: 5x+2x+7

5x and 2x are like terms

7 is a Constant

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What is the outlier for the data set?<br> 19, 19, 27, 21, 77, 18, 23, 29
mamaluj [8]

Answer:

77

Step-by-step explanation:

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3 years ago
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