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Alja [10]
3 years ago
15

(9mn-19^4n) - (8m^2+12m^4n+9mn

Mathematics
1 answer:
Alja [10]3 years ago
6 0

Answer:

-19n^4 - 8m^2 - 12m^4n

Step-by-step explanation:

8m^2 + 12m^4n + 9mn

-

19n^4 9mn

------------------------------------------------------------------------

-19n^4 - 8m^2 - 12m^4n

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on the last night of scout camp Chris his wife Joe and the 11 other adults sit down for supper along one side of a long rectangu
yawa3891 [41]

Based on the information provided, it follows that there are 1,728 possible seating arrangements.

<h3>How can we find the number of possible arrangements?</h3>

To find the number of arrangements in this problem situation we must take into account the following key factors:

  • Chris only has 1 possible seat.
  • Jo has 2 possible seats.
  • Dave, Alex, and Barb have 3 possible seats.
  • Gareth, Fred, and Eddie have 3 possible seats.
  • There are 4 other adults who do not have a preference in seats but have the possibility of using 4 seats.

According to the above, we must use the factorization of these numbers to find out the number of possibilities we have to seat them.

<h3>What is factoring?</h3>

A factorial function is a mathematical tool that is characterized by using the exclamation mark “!” behind a number. The factorial function is used to express that the number accompanied by the symbol must be multiplied by all positive integers between that number and 1.

In accordance with the above, in the problem situation that we must solve, we must use the factorial function with the possibilities of:

  • Dave, Alex and Barb: 3! = 3 × 2 × 1 = 6
  • Gareth, Fred and Eddie: 3! = 3 × 2 × 1 = 6
  • Other 4 adults: 4! = 4 × 3 × 2 × 1 = 24

Subsequently, to calculate the number of total possibilities of the entire group we must multiply the possibilities of each group and individual as shown below:

  • Number of possibilities = 1 × 2 × 6 × 6 × 24
  • Number of possibilities = 1728

Learn more about the factorial function in: brainly.com/question/16674303

4 0
3 years ago
Based on the diagram, what is the reduced area inside the blood vessel?
pychu [463]

Answer:

: Stroke Brain cells do not get the nutrients they need if blood flow to the brain …

Step-by-step explanation:

3 0
3 years ago
Select the values that make the inequality g &lt; 2 true.
Semmy [17]

Answer:

-10, -3, -2.001, 1, -7, -2.1, -5, -2.01

Step-by-step explanation:

6 0
3 years ago
The values of 60, 62, and 84 were common to both samples. The three values are identified as outliers with respect to the age-gr
postnew [5]

Answer:

Only 60 is an identified outlier

Step-by-step explanation:

Given

<u>Age group: 40 to 50</u>

Min = 60           Q_1 = 70           Median= 73

Q_3 = 76              Max = 85

<u>Conditions for outlier</u>

Value > Q_3 + 1.5 * IQR

Value < Q_1 - 1.5 * IQR

<em>See attachment for complete question</em>

<u>Required</u>

Which of 60, 62 and 84 is an outlier of age grout 40 to 50 years

First, calculate the IQR of group 40 to 50.

This is calculated as:

IQR = Q_3 - Q_1

Where:

Q_3 = 76 and Q_1 = 70

So:

IQR = 76 - 70

IQR = 6

<em>Next, is to test the outlier conditions on each value (i.e. 60, 62 and 84)</em>

<u></u>

<u>Testing 60</u>

<u>Condition 1</u>

Value > Q_3 + 1.5 * IQR

60 > 76 + 1.5 * 6

60 > 76 + 9

60 > 85 --- False

<u>Condition 2</u>

Value < Q_1 - 1.5 * IQR

60 < 70 - 1.5 * 6

60 < 70 - 9

60 < 61 --- True

<em>Because one of the conditions is true, then 60 is an outlier of group 40 - 50 years</em>

<em></em>

<u>Testing 62</u>

<u>Condition 1</u>

Value > Q_3 + 1.5 * IQR

62> 76 + 1.5 * 6

62 > 76 + 9

62 > 85 --- False

<u>Condition 2</u>

Value < Q_1 - 1.5 * IQR

62 < 70 - 1.5 * 6

62 < 70 - 9

62 < 61 --- False

<em>Because both conditions are false, then 62 is  not an outlier of group 40 - 50 years</em>

<em></em>

<u>Testing 84</u>

<u>Condition 1</u>

Value > Q_3 + 1.5 * IQR

84> 76 + 1.5 * 6

84 > 76 + 9

84 > 85 --- False

<u>Condition 2</u>

Value < Q_1 - 1.5 * IQR

84 < 70 - 1.5 * 6

84 < 70 - 9

84 < 61 --- False

<em>Because both conditions are false, then 84 is  not an outlier of group 40 - 50 years</em>

5 0
3 years ago
Solve for x<br> x + a = b
ohaa [14]
X+a=b
you want to isolate x so subtract a from both sides

x=b-a
6 0
3 years ago
Read 2 more answers
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