Answer:
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<span>2a(5-b)=3b+7
<em>[open bracket]</em>
10a - 2ab = 3b + 7
<em>[solve for b, so we need to move all terms with b to the left]</em>
<em>[-3b on both sides]</em>
10a - 2ab - 3b = 3b + 7 - 3b
10a - 2ab - 3b = 7
<em>[move all those without b to the right]</em>
<em>[-10a on both side]</em>
10a - 2ab- 3b - 10a = 7 - 10a
-2ab - 3b = 7 - 10a
<em>[divide by -1 through to change b to be positive]</em>
2ab + 3b = 10a - 7
<em>[take b out as the common factor]</em>
</span>b(2a + 3) = 10a - 7<span>
<em>[divide by (2a+3) through]</em>
b = (10a -7)/(2a+3)
</span>
Since 540 is a whole number, it cannot be simplified anymore.
The answer is C
survey an equal number of boys and girls
There are only two possible outcomes in the table that satisfy <em>x</em> ≤ -3; either <em>x</em> = -5 or <em>x</em> = -3. Then
P(<em>x</em> ≤ -3) = P(<em>x</em> = -5) + P(<em>x</em> = -3) = 0.17 + 0.13 = 0.3