David assembles 12 circuit boards in 255 minutes. Amy assembles 9 circuit boards in 170 minutes. Who works at a faster rate?
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The equivalent expressions are 2(24m + 21n) and 3(16m + 14n) and 6(8m + 7n)
<em><u>Solution:</u></em>
Given that, we have to factor the given expression
<em><u>Given expression is:</u></em>
48m + 42n
The equivalent expressions can be found by factoring out the common factors of 48 and 42
<em><u>Let us first find the factors of 48 and 42</u></em>
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Thus the common factors are: 1, 2, 3, 6
Let us factor out 2 from given expression
Now factor out 3 from given expression
Now factor out 6 from given expression
Thus the equivalent expressions are 2(24m + 21n) and 3(16m + 14n) and 6(8m + 7n)
You're looking for a value 
such that
Because the distribution is symmetric, the value of in either case will be the same.
Now, because the distribution is continuous, you have that
The mean for the standard normal distribution is
, and because the distribution is symmetric about its mean, it follows that 
.
You can consult a score table to find the corresponding score for this probability. It turns out to be 
.
Because the distribution is symmetric, the value of
Now, because the distribution is continuous, you have that
The mean for the standard normal distribution is
You can consult a