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Anton [14]
3 years ago
12

Which expression can you simplify by combining like terms?

Mathematics
2 answers:
almond37 [142]3 years ago
8 0
12b^2+4ab-3ba-6
=12b^2+ab-6
pashok25 [27]3 years ago
5 0
You can reduce the first one by combining the ab and the ba term
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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
Translate the sentence into an inequality.
lord [1]

Answer:

2(W - 5) ≤ -29      

Step-by-step explanation:

"Twice the difference of a number and 5 is at most -29" can be expressed symbolically as follows:

2(W - 5) ≤ -29      

Further explanations:

"the difference of a number and 5" is W - 5, and thus "Twice the difference of a number and 5" is 2(W - 5).

"x ≤ -29" states "x is at most -29."

7 0
2 years ago
PLEASE HELP! Do the angles stay the same degrees when the shape is reduced or enlarged?
stira [4]
Well....if the triangle shape stays the same then the angle stays the same even if its enlarged in size. It will stay the same because you didn't change the way the shpae looks like, it is just zoomed in.

Answer: The angle measurements stay the same when the figure is enlarged or reduced
5 0
3 years ago
Find the least 5-digit odd number that can be formed from the digits<br><br><br>1 2 0 3 8
DochEvi [55]
The answer is 1 0 2 3 8 

Glad to help :D
5 0
3 years ago
The diameter of a large sphere is 4 times the diameter of a small sphere. The surface area of the large sphere is how many times
Sever21 [200]
Surface Area of a Sphere = 4π(d/2)²
Let the smaller sphere's diameter be just a sample of 4 units in diameter and let the large spheres diameter be 4 times that of the smaller sphere.

Small Sphere: 4π(4/2)² = 16π units²
Large Sphere: 4π(16/2)² = 256π units²

256π / 16π = 16 times

The large sphere has a surface area 16 times that of the smaller one.
4 0
3 years ago
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