To find the diameter [tex]\( d \)[/tex] of a new soccer ball given the specifications, we can create an equation that represents the allowable margin of error around the specified diameter.
1. The equation that can be used to find [tex]\( d \)[/tex] is: [tex]\( |d - 8.65| = 0.05 \)[/tex]
Next, we determine the minimum and maximum possible diameters by considering the margin of error.
2. The minimum possible diameter is [tex]\( 8.6 \)[/tex] inches.
3. The maximum possible diameter is [tex]\( 8.7 \)[/tex] inches.
Thus, the correct statements completed are:
The equation that can be used to find [tex]\( d \)[/tex], the diameter of a new soccer ball, is [tex]\( |d - 8.65| = 0.05 \)[/tex].
The minimum possible diameter of a soccer ball is [tex]\( 8.6 \)[/tex], and the maximum possible diameter is [tex]\( 8.7 \)[/tex].