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g100num [7]
3 years ago
6

Find the greatest common factor: 12ab^2c^4 + 20a^4bc^3 + 16a^3b

Mathematics
1 answer:
nordsb [41]3 years ago
5 0

Option A

The greatest common factor is 4ab

<em><u>Solution:</u></em>

Given that,

We have to find the greatest common factor

12ab^2c^4+20a^4bc^3+16a^3b

<em><u>First find the GCF of numbers</u></em>

GCF of 12, 20, 16

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 20 are: 1, 2, 4, 5, 10, 20

Then the greatest common factor is 4

<em><u>Now find the GCF of variables</u></em>

ab^2c^4\\\\a^4bc^3\\\\a^3b

Here,

ab is the greatest common factor

Therefore, GCF of variables is ab

Thus, GCF of given expression is: 4ab

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The table below shows a baseball player’s batting average batting left and right versus left- and right-handed pitches Left-hand
Assoli18 [71]

Answer:

C. 11 is the correct answer

Step-by-step explanation:

The table representing the probabilities of player's batting average is,

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Bats Left                    0.285                                      0.175

Bats Right                   0.215                                      0.250

So, when the players bats left 100 times,

The probability of hits he gets when faced by left-handed pitchers = 0.285 × 100 = 28.5

The probability of hits he gets when faced by right-handed pitchers = 0.175 × 100 = 17.5

Thus, the difference in the hits = 28.5 - 17.5 = 11

Hence, the player will get 11 more hits t when he faces left-handed pitchers as opposed to right-handed pitchers.

5 0
3 years ago
Which of the following is true of the data represented by the box plot
zmey [24]

Answer:

The data is skewed to the bottom and contains an outlier.  

Step-by-step explanation:

1. Test for outlier

An outlier is a point that is more than 1.5IQR below Q1 or above Q3.  

IQR = Q3 - Q1 = 74 - 51 = 23

1.5 IQR  = 1.5 × 23 = 34.5

51 - 15 = 36 > 1.5IQR

The point at 15 is an outlier.

2. Test for normal distribution

The median is not in the middle of the box.  

Rather, it cuts the box into two unequal parts, so the data does not have a normal distribution.

3. Test for skewness

The longer part is to the left of the median, so the data is skewed left.

 

4 0
3 years ago
What does the ! Mean
Alina [70]

Answer:

!  means factorial . For example 3! (factorial 3) = 3*2*1 = 6

Answer to 14C3 is 364

Step-by-step explanation:

14! = 14*13*12*11*10*9*8*7*6*5*4*3*2*1

14C3 =   14*13*12*11*10*9*8*7*6*5*4*3*2*1 / 3*2*1 * 11*10*9*8*7*6*5*4*3*2*1

=    (14*13*12) /   3*2*1

= 14*13*2

=  364

3 0
3 years ago
A new shoe comes in three colors: tan, navy, or black. It also comes in full sizes 4 to 11. If a pair of shoes is chosen at rand
Bess [88]
Three colors * 8 possible sizes = 24 different shoes

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3 years ago
What is |x|+|y|, if x=5 and y=-7<br><br> A. 2 <br> B. 12<br> C. -2<br> D. -12
Stells [14]

Answer:

the correct answer is b

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
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