Answer:
42
Step-by-step explanation:
The chart shows how many bags have a certain number of sweets (e.g. 3 of the 9 bags have 39 sweets). To calculate how many sweets there are in the 10th bag, set up an equation where [tex]x[/tex] represents the number of sweets in the 10th bag:
[tex]\frac{39(3)+40(2)+41(1)+42(1)+43(0)+44(2)+x}{10}=41[/tex]
41 is the mean, which you get by adding the number of sweets in each bag together and dividing it by the number of bags.
Simplify the equation:
[tex]\frac{117+80+41+42+88+x}{10}=41[/tex]
[tex]\frac{368+x}{10} =41[/tex]
Multiply both sides by 10:
[tex]368+x=410[/tex]
Isolate the variable:
[tex]x=42[/tex]
