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Mama L [17]
3 years ago
15

A P.E. teacher needs to divide 16 male students and 20 female students into teams, each with the same combination of male studen

ts and female students and nobody left out. What is the greatest number of teams that can be formed?
Mathematics
1 answer:
ozzi3 years ago
7 0

I am choosing to solve this way:

<u>If there are 2 teams - both groups are divisible by 2. (8 b & 10 g). That works.</u>

If there are 3 teams - you cannot divide 16 or 20 by 3 evenly.

<u>If there are 4 teams - you can divide into 4 b and 5 g on each team. That works.</u>

5 teams doesn't work because 16/5 would leave one boy left over.

6 teams, doesn't divide equal for boys or girls.

7-10 teams doesn't divide evenly.

2 teams is our greatest number of teams possible.

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. In the U.S., from 2004−2015, the correlation coefficient for the relationship between the size of a cell phone data plan, x, a
bonufazy [111]

Answer: strong positive correlafion between data plan size 'x' and number of text messages sent 'y'

Step-by-step explanation:

'R' in statistics is used to denote correlation Coefficient. The correlation Coefficient is a value which ranges between -1 to +1. It tells us the level of relationship or correlation which exists between the relative movement of two variables, in this case the relationship between data plan size and the number of text messages sent in the US. R value of 0 depicts that no relationship exists between the two variables, R value closer the R value is to +1 and - 1 depicts the strength of positive and negative correlation of the two variables respectively.

A R value of +0.97 in the context above, depicts a strong positive correlation between data plan size and number of text messages sent in the US. That is large data size usually corresponds to large number of text messages and vice versa.

4 0
3 years ago
PLZ HELP
Alex

Answer:

The correct option is C ) 109.5°

Therefore,

m\angle E=109.5\°

Step-by-step explanation:

Given:

In Triangle DEF

d = 10

e = 18

f = 12

To Find

angle E = ?

Solution:

In Triangle DEF , Cosine Rule says

\cos E=\dfrac{f^{2}+d^{2}-e^{2}}{2fd}

Substituting the values we get

\cos E=\dfrac{12^{2}+10^{2}-18^{2}}{2\times 12\times 10}

\cos E=\dfrac{-80}{240}=-\dfrac{1}{3}

Therefore,

\angle E=\cos^{-1}(-0.3333)

m\angle E=109.5\°       ............As it is in Second Quadrant

Therefore,

m\angle E=109.5\°

4 0
4 years ago
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kicyunya [14]
6 × 2 = 12 so 6 is the dilation factor

thus 4 × 6 is PQ which is 24
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4 0
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